%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP141^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:31 AM UTC 2026
% Result : Theorem 3.51s 0.98s
% Output : Refutation 3.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP141^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:59:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.24/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.44 % (1770122)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.30/0.44 % (1770128)lrs+10_16_si=on:nwc=1.5:random_seed=2047380426:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.30/0.44 % (1770128)Instruction limit reached!
% 0.30/0.44 % (1770128)------------------------------
% 0.30/0.44 % (1770128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (1770128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (1770128)CaDiCaL version: 2.1.3
% 0.30/0.44 % (1770128)Termination reason: Instruction limit
% 0.30/0.44 % (1770128)Termination phase: shuffling
% 0.30/0.44 % (1770128)Time elapsed: 0.006 s
% 0.30/0.44 % (1770128)Peak memory usage: 10 MB
% 0.30/0.44 % (1770128)Instructions burned: 20 (million)
% 0.30/0.44 % (1770127)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3602211383:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.30/0.44 % (1770129)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1097004818:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.30/0.44 % (1770130)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2646939597:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.30/0.44 % (1770131)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2236271007:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.30/0.44 % (1770129)Instruction limit reached!
% 0.30/0.44 % (1770129)------------------------------
% 0.30/0.44 % (1770129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (1770129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (1770129)CaDiCaL version: 2.1.3
% 0.30/0.44 % (1770129)Termination reason: Instruction limit
% 0.30/0.44 % (1770129)Termination phase: shuffling
% 0.30/0.44 % (1770129)Time elapsed: 0.003 s
% 0.30/0.44 % (1770129)Peak memory usage: 10 MB
% 0.30/0.44 % (1770129)Instructions burned: 6 (million)
% 0.30/0.44 % (1770132)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1486347357:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.30/0.44 % (1770135)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2689758773:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.30/0.44 % (1770133)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.30/0.44 % (1770133)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.30/0.44 % (1770135)Instruction limit reached!
% 0.30/0.44 % (1770135)------------------------------
% 0.30/0.44 % (1770135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (1770135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (1770135)CaDiCaL version: 2.1.3
% 0.30/0.44 % (1770135)Termination reason: Instruction limit
% 0.30/0.44 % (1770135)Termination phase: shuffling
% 0.30/0.44 % (1770135)Time elapsed: 0.001 s
% 0.30/0.44 % (1770135)Peak memory usage: 10 MB
% 0.30/0.44 % (1770135)Instructions burned: 2 (million)
% 0.30/0.44 % (1770131)Instruction limit reached!
% 0.30/0.44 % (1770131)------------------------------
% 0.30/0.44 % (1770131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (1770131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (1770131)CaDiCaL version: 2.1.3
% 0.30/0.44 % (1770131)Termination reason: Instruction limit
% 0.30/0.44 % (1770131)Termination phase: shuffling
% 0.30/0.44 % (1770131)Time elapsed: 0.013 s
% 0.30/0.44 % (1770131)Peak memory usage: 10 MB
% 0.30/0.44 % (1770131)Instructions burned: 25 (million)
% 0.30/0.44 % (1770133)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2527973567:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.30/0.44 % (1770143)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.09/0.48 % (1770143)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4103437693:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.09/0.48 % (1770143)Instruction limit reached!
% 1.09/0.48 % (1770143)------------------------------
% 1.09/0.48 % (1770143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.48 % (1770143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.48 % (1770143)CaDiCaL version: 2.1.3
% 1.09/0.48 % (1770143)Termination reason: Instruction limit
% 1.09/0.48 % (1770143)Termination phase: shuffling
% 1.09/0.48 % (1770143)Time elapsed: 0.002 s
% 1.09/0.48 % (1770143)Peak memory usage: 10 MB
% 1.09/0.48 % (1770143)Instructions burned: 7 (million)
% 1.09/0.48 % (1770141)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=366435601:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.09/0.48 % (1770141)Instruction limit reached!
% 1.09/0.48 % (1770141)------------------------------
% 1.09/0.48 % (1770141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.48 % (1770141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.48 % (1770141)CaDiCaL version: 2.1.3
% 1.09/0.48 % (1770141)Termination reason: Instruction limit
% 1.09/0.48 % (1770141)Termination phase: shuffling
% 1.09/0.48 % (1770141)Time elapsed: 0.003 s
% 1.09/0.48 % (1770141)Peak memory usage: 10 MB
% 1.09/0.48 % (1770141)Instructions burned: 5 (million)
% 1.09/0.48 % (1770144)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3685755259:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.09/0.48 % (1770148)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.09/0.48 % (1770148)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.09/0.48 % (1770148)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2414929182:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.09/0.48 % (1770144)Instruction limit reached!
% 1.09/0.48 % (1770144)------------------------------
% 1.09/0.48 % (1770144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.48 % (1770144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.48 % (1770144)CaDiCaL version: 2.1.3
% 1.09/0.48 % (1770144)Termination reason: Instruction limit
% 1.09/0.48 % (1770144)Termination phase: shuffling
% 1.09/0.48 % (1770144)Time elapsed: 0.006 s
% 1.09/0.48 % (1770144)Peak memory usage: 10 MB
% 1.09/0.48 % (1770144)Instructions burned: 12 (million)
% 1.09/0.48 % (1770148)Instruction limit reached!
% 1.09/0.48 % (1770148)------------------------------
% 1.09/0.48 % (1770148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.48 % (1770148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.48 % (1770148)CaDiCaL version: 2.1.3
% 1.09/0.48 % (1770148)Termination reason: Instruction limit
% 1.09/0.48 % (1770148)Termination phase: shuffling
% 1.09/0.48 % (1770148)Time elapsed: 0.007 s
% 1.09/0.48 % (1770148)Peak memory usage: 10 MB
% 1.09/0.48 % (1770148)Instructions burned: 29 (million)
% 1.09/0.48 % (1770127)Instruction limit reached!
% 1.09/0.48 % (1770127)------------------------------
% 1.09/0.48 % (1770127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.48 % (1770127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.48 % (1770127)CaDiCaL version: 2.1.3
% 1.09/0.48 % (1770127)Termination reason: Instruction limit
% 1.09/0.48 % (1770127)Termination phase: Property scanning
% 1.09/0.48 % (1770127)Time elapsed: 0.044 s
% 1.09/0.48 % (1770127)Peak memory usage: 12 MB
% 1.09/0.48 % (1770127)Instructions burned: 88 (million)
% 1.09/0.48 % (1770132)Instruction limit reached!
% 1.09/0.48 % (1770132)------------------------------
% 1.09/0.48 % (1770132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.48 % (1770132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.48 % (1770132)CaDiCaL version: 2.1.3
% 1.09/0.48 % (1770132)Termination reason: Instruction limit
% 1.09/0.53 % (1770132)Termination phase: Clausification
% 1.09/0.53 % (1770132)Time elapsed: 0.039 s
% 1.09/0.53 % (1770132)Peak memory usage: 12 MB
% 1.09/0.53 % (1770132)Instructions burned: 76 (million)
% 1.09/0.53 % (1770149)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3421341405:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.09/0.53 % (1770153)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.09/0.53 % (1770153)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2598192110:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.09/0.53 % (1770153)Instruction limit reached!
% 1.09/0.53 % (1770153)------------------------------
% 1.09/0.53 % (1770153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.53 % (1770153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.53 % (1770153)CaDiCaL version: 2.1.3
% 1.09/0.53 % (1770153)Termination reason: Instruction limit
% 1.09/0.53 % (1770153)Termination phase: shuffling
% 1.09/0.53 % (1770153)Time elapsed: 0.001 s
% 1.09/0.53 % (1770153)Peak memory usage: 10 MB
% 1.09/0.53 % (1770153)Instructions burned: 3 (million)
% 1.09/0.53 % (1770152)lrs+10_1_si=on:cs=on:random_seed=3788944972:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.09/0.53 % (1770154)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=793963563:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.09/0.53 % (1770152)Instruction limit reached!
% 1.09/0.53 % (1770152)------------------------------
% 1.09/0.53 % (1770152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.53 % (1770152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.53 % (1770152)CaDiCaL version: 2.1.3
% 1.09/0.53 % (1770152)Termination reason: Instruction limit
% 1.09/0.53 % (1770152)Termination phase: shuffling
% 1.09/0.53 % (1770152)Time elapsed: 0.005 s
% 1.09/0.53 % (1770152)Peak memory usage: 10 MB
% 1.09/0.53 % (1770152)Instructions burned: 10 (million)
% 1.09/0.53 % (1770155)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1667027594:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.09/0.53 % (1770158)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=702984247:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.09/0.53 % (1770154)Instruction limit reached!
% 1.09/0.53 % (1770154)------------------------------
% 1.09/0.53 % (1770154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.53 % (1770154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.53 % (1770154)CaDiCaL version: 2.1.3
% 1.09/0.53 % (1770154)Termination reason: Instruction limit
% 1.09/0.53 % (1770154)Termination phase: Property scanning
% 1.09/0.53 % (1770154)Time elapsed: 0.018 s
% 1.09/0.53 % (1770154)Peak memory usage: 10 MB
% 1.09/0.53 % (1770154)Instructions burned: 39 (million)
% 1.09/0.53 % (1770162)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=607371065:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.53 % (1770149)Instruction limit reached!
% 1.09/0.53 % (1770149)------------------------------
% 1.09/0.53 % (1770149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.53 % (1770149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.53 % (1770149)CaDiCaL version: 2.1.3
% 1.09/0.53 % (1770149)Termination reason: Instruction limit
% 1.09/0.53 % (1770149)Termination phase: Preprocessing 1
% 1.09/0.53 % (1770149)Time elapsed: 0.039 s
% 1.09/0.53 % (1770149)Peak memory usage: 11 MB
% 1.09/0.53 % (1770149)Instructions burned: 87 (million)
% 1.09/0.53 % (1770158)Instruction limit reached!
% 1.09/0.53 % (1770158)------------------------------
% 1.09/0.53 % (1770158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.53 % (1770158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.53 % (1770158)CaDiCaL version: 2.1.3
% 1.09/0.53 % (1770158)Termination reason: Instruction limit
% 1.09/0.53 % (1770158)Termination phase: shuffling
% 1.09/0.53 % (1770158)Time elapsed: 0.012 s
% 1.09/0.58 % (1770158)Peak memory usage: 11 MB
% 1.09/0.58 % (1770158)Instructions burned: 26 (million)
% 1.09/0.58 % (1770162)Instruction limit reached!
% 1.09/0.58 % (1770162)------------------------------
% 1.09/0.58 % (1770162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.58 % (1770162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.58 % (1770162)CaDiCaL version: 2.1.3
% 1.09/0.58 % (1770162)Termination reason: Instruction limit
% 1.09/0.58 % (1770162)Termination phase: shuffling
% 1.09/0.58 % (1770162)Time elapsed: 0.007 s
% 1.09/0.58 % (1770162)Peak memory usage: 10 MB
% 1.09/0.58 % (1770162)Instructions burned: 15 (million)
% 1.09/0.58 % (1770167)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=723250357:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.09/0.58 % (1770167)Instruction limit reached!
% 1.09/0.58 % (1770167)------------------------------
% 1.09/0.58 % (1770167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.58 % (1770167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.58 % (1770167)CaDiCaL version: 2.1.3
% 1.09/0.58 % (1770167)Termination reason: Instruction limit
% 1.09/0.58 % (1770167)Termination phase: shuffling
% 1.09/0.58 % (1770167)Time elapsed: 0.001 s
% 1.09/0.58 % (1770167)Peak memory usage: 10 MB
% 1.09/0.58 % (1770167)Instructions burned: 2 (million)
% 1.09/0.58 % (1770164)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=94114886:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.09/0.58 % (1770166)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4219188779:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.58 % (1770170)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=5215785:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.09/0.58 % (1770168)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=200806741:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.09/0.58 % (1770166)Instruction limit reached!
% 1.09/0.58 % (1770166)------------------------------
% 1.09/0.58 % (1770166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.58 % (1770166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.58 % (1770166)CaDiCaL version: 2.1.3
% 1.09/0.58 % (1770166)Termination reason: Instruction limit
% 1.09/0.58 % (1770166)Termination phase: shuffling
% 1.09/0.58 % (1770166)Time elapsed: 0.007 s
% 1.09/0.58 % (1770166)Peak memory usage: 10 MB
% 1.09/0.58 % (1770166)Instructions burned: 14 (million)
% 1.09/0.58 % (1770170)Instruction limit reached!
% 1.09/0.58 % (1770170)------------------------------
% 1.09/0.58 % (1770170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.58 % (1770170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.58 % (1770170)CaDiCaL version: 2.1.3
% 1.09/0.58 % (1770170)Termination reason: Instruction limit
% 1.09/0.58 % (1770170)Termination phase: shuffling
% 1.09/0.58 % (1770170)Time elapsed: 0.006 s
% 1.09/0.58 % (1770170)Peak memory usage: 11 MB
% 1.09/0.58 % (1770170)Instructions burned: 24 (million)
% 1.09/0.58 % (1770176)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.09/0.58 % (1770176)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.09/0.58 % (1770168)Instruction limit reached!
% 1.09/0.58 % (1770168)------------------------------
% 1.09/0.58 % (1770168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.58 % (1770168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.58 % (1770168)CaDiCaL version: 2.1.3
% 1.09/0.58 % (1770168)Termination reason: Instruction limit
% 1.09/0.58 % (1770168)Termination phase: shuffling
% 1.09/0.58 % (1770168)Time elapsed: 0.013 s
% 1.09/0.58 % (1770168)Peak memory usage: 10 MB
% 1.09/0.58 % (1770168)Instructions burned: 27 (million)
% 1.09/0.58 % (1770176)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1662488687:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.31/0.66 % (1770176)Instruction limit reached!
% 2.31/0.66 % (1770176)------------------------------
% 2.31/0.66 % (1770176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1770176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1770176)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1770176)Termination reason: Instruction limit
% 2.31/0.66 % (1770176)Termination phase: shuffling
% 2.31/0.66 % (1770176)Time elapsed: 0.005 s
% 2.31/0.66 % (1770176)Peak memory usage: 10 MB
% 2.31/0.66 % (1770176)Instructions burned: 18 (million)
% 2.31/0.66 % (1770175)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4027928733:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.31/0.66 % (1770177)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.31/0.66 % (1770179)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3643304070:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.31/0.66 % (1770177)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1254779371:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.31/0.66 % (1770133)Instruction limit reached!
% 2.31/0.66 % (1770133)------------------------------
% 2.31/0.66 % (1770133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1770133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1770133)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1770133)Termination reason: Instruction limit
% 2.31/0.66 % (1770133)Termination phase: Saturation
% 2.31/0.66 % (1770133)Time elapsed: 0.132 s
% 2.31/0.66 % (1770133)Peak memory usage: 14 MB
% 2.31/0.66 % (1770133)Instructions burned: 157 (million)
% 2.31/0.66 % (1770177)Instruction limit reached!
% 2.31/0.66 % (1770177)------------------------------
% 2.31/0.66 % (1770177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1770177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1770177)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1770177)Termination reason: Instruction limit
% 2.31/0.66 % (1770177)Termination phase: shuffling
% 2.31/0.66 % (1770177)Time elapsed: 0.005 s
% 2.31/0.66 % (1770177)Peak memory usage: 10 MB
% 2.31/0.66 % (1770177)Instructions burned: 10 (million)
% 2.31/0.66 % (1770179)Instruction limit reached!
% 2.31/0.66 % (1770179)------------------------------
% 2.31/0.66 % (1770179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1770179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1770179)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1770179)Termination reason: Instruction limit
% 2.31/0.66 % (1770179)Termination phase: shuffling
% 2.31/0.66 % (1770179)Time elapsed: 0.008 s
% 2.31/0.66 % (1770179)Peak memory usage: 10 MB
% 2.31/0.66 % (1770179)Instructions burned: 34 (million)
% 2.31/0.66 % (1770185)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3832031374:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.31/0.66 % (1770175)Instruction limit reached!
% 2.31/0.66 % (1770175)------------------------------
% 2.31/0.66 % (1770175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1770175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1770175)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1770175)Termination reason: Instruction limit
% 2.31/0.66 % (1770175)Termination phase: Preprocessing 3
% 2.31/0.66 % (1770175)Time elapsed: 0.029 s
% 2.31/0.66 % (1770175)Peak memory usage: 11 MB
% 2.31/0.66 % (1770175)Instructions burned: 60 (million)
% 2.31/0.66 % (1770183)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1513599075:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.31/0.66 % (1770185)Instruction limit reached!
% 2.31/0.66 % (1770185)------------------------------
% 2.31/0.66 % (1770185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1770185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1770185)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1770185)Termination reason: Instruction limit
% 2.58/0.73 % (1770185)Termination phase: shuffling
% 2.58/0.73 % (1770185)Time elapsed: 0.006 s
% 2.58/0.73 % (1770185)Peak memory usage: 10 MB
% 2.58/0.73 % (1770185)Instructions burned: 23 (million)
% 2.58/0.73 % (1770184)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4121270835:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.58/0.73 % (1770183)Instruction limit reached!
% 2.58/0.73 % (1770183)------------------------------
% 2.58/0.73 % (1770183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.73 % (1770183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.73 % (1770183)CaDiCaL version: 2.1.3
% 2.58/0.73 % (1770183)Termination reason: Instruction limit
% 2.58/0.73 % (1770183)Termination phase: shuffling
% 2.58/0.73 % (1770183)Time elapsed: 0.004 s
% 2.58/0.73 % (1770183)Peak memory usage: 10 MB
% 2.58/0.73 % (1770183)Instructions burned: 8 (million)
% 2.58/0.73 % (1770189)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=153769542:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.58/0.73 % (1770184)Instruction limit reached!
% 2.58/0.73 % (1770184)------------------------------
% 2.58/0.73 % (1770184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.73 % (1770184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.73 % (1770184)CaDiCaL version: 2.1.3
% 2.58/0.73 % (1770184)Termination reason: Instruction limit
% 2.58/0.73 % (1770184)Termination phase: shuffling
% 2.58/0.73 % (1770184)Time elapsed: 0.012 s
% 2.58/0.73 % (1770184)Peak memory usage: 10 MB
% 2.58/0.73 % (1770184)Instructions burned: 25 (million)
% 2.58/0.73 % (1770187)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2114813538:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.58/0.73 % (1770193)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2216876926:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.58/0.73 % (1770191)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1590612935:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.58/0.73 % (1770155)Instruction limit reached!
% 2.58/0.73 % (1770155)------------------------------
% 2.58/0.73 % (1770155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.73 % (1770155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.73 % (1770155)CaDiCaL version: 2.1.3
% 2.58/0.73 % (1770155)Termination reason: Instruction limit
% 2.58/0.73 % (1770155)Termination phase: Saturation
% 2.58/0.73 % (1770155)Time elapsed: 0.144 s
% 2.58/0.73 % (1770155)Peak memory usage: 15 MB
% 2.58/0.73 % (1770155)Instructions burned: 249 (million)
% 2.58/0.73 % (1770189)Instruction limit reached!
% 2.58/0.73 % (1770189)------------------------------
% 2.58/0.73 % (1770189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.73 % (1770189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.73 % (1770189)CaDiCaL version: 2.1.3
% 2.58/0.73 % (1770189)Termination reason: Instruction limit
% 2.58/0.73 % (1770189)Termination phase: Saturation
% 2.58/0.73 % (1770189)Time elapsed: 0.036 s
% 2.58/0.73 % (1770189)Peak memory usage: 13 MB
% 2.58/0.73 % (1770189)Instructions burned: 145 (million)
% 2.58/0.73 % (1770193)Instruction limit reached!
% 2.58/0.73 % (1770193)------------------------------
% 2.58/0.73 % (1770193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.73 % (1770193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.73 % (1770193)CaDiCaL version: 2.1.3
% 2.58/0.73 % (1770193)Termination reason: Instruction limit
% 2.58/0.73 % (1770193)Termination phase: Preprocessing 1
% 2.58/0.73 % (1770193)Time elapsed: 0.020 s
% 2.58/0.73 % (1770193)Peak memory usage: 10 MB
% 2.58/0.73 % (1770193)Instructions burned: 44 (million)
% 2.58/0.73 % (1770197)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.58/0.73 % (1770198)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3709086985:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.58/0.73 % (1770197)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1276188443:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 3.05/0.81 % (1770197)Instruction limit reached!
% 3.05/0.81 % (1770197)------------------------------
% 3.05/0.81 % (1770197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.81 % (1770197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.81 % (1770197)CaDiCaL version: 2.1.3
% 3.05/0.81 % (1770197)Termination reason: Instruction limit
% 3.05/0.81 % (1770197)Termination phase: shuffling
% 3.05/0.81 % (1770197)Time elapsed: 0.004 s
% 3.05/0.81 % (1770197)Peak memory usage: 10 MB
% 3.05/0.81 % (1770197)Instructions burned: 8 (million)
% 3.05/0.81 % (1770199)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=742284767:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 3.05/0.81 % (1770202)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.05/0.81 % (1770202)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=952882644:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 3.05/0.81 % (1770202)Instruction limit reached!
% 3.05/0.81 % (1770202)------------------------------
% 3.05/0.81 % (1770202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.81 % (1770202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.81 % (1770202)CaDiCaL version: 2.1.3
% 3.05/0.81 % (1770202)Termination reason: Instruction limit
% 3.05/0.81 % (1770202)Termination phase: shuffling
% 3.05/0.81 % (1770202)Time elapsed: 0.004 s
% 3.05/0.81 % (1770202)Peak memory usage: 10 MB
% 3.05/0.81 % (1770202)Instructions burned: 8 (million)
% 3.05/0.81 % (1770205)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1297495289:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.05/0.81 % (1770164)Instruction limit reached!
% 3.05/0.81 % (1770164)------------------------------
% 3.05/0.81 % (1770164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.81 % (1770164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.81 % (1770164)CaDiCaL version: 2.1.3
% 3.05/0.81 % (1770164)Termination reason: Instruction limit
% 3.05/0.81 % (1770164)Termination phase: Saturation
% 3.05/0.81 % (1770164)Time elapsed: 0.174 s
% 3.05/0.81 % (1770164)Peak memory usage: 15 MB
% 3.05/0.81 % (1770164)Instructions burned: 328 (million)
% 3.05/0.81 % (1770198)Instruction limit reached!
% 3.05/0.81 % (1770198)------------------------------
% 3.05/0.81 % (1770198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.81 % (1770198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.81 % (1770198)CaDiCaL version: 2.1.3
% 3.05/0.81 % (1770198)Termination reason: Instruction limit
% 3.05/0.81 % (1770198)Termination phase: Saturation
% 3.05/0.81 % (1770198)Time elapsed: 0.054 s
% 3.05/0.81 % (1770198)Peak memory usage: 15 MB
% 3.05/0.81 % (1770198)Instructions burned: 184 (million)
% 3.05/0.81 % (1770205)Instruction limit reached!
% 3.05/0.81 % (1770205)------------------------------
% 3.05/0.81 % (1770205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.81 % (1770205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.81 % (1770205)CaDiCaL version: 2.1.3
% 3.05/0.81 % (1770205)Termination reason: Instruction limit
% 3.05/0.81 % (1770205)Termination phase: shuffling
% 3.05/0.81 % (1770205)Time elapsed: 0.011 s
% 3.05/0.81 % (1770205)Peak memory usage: 10 MB
% 3.05/0.81 % (1770205)Instructions burned: 22 (million)
% 3.05/0.81 % (1770208)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3455934178:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.05/0.81 % (1770207)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2163055623:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.05/0.81 % (1770207)Instruction limit reached!
% 3.05/0.81 % (1770207)------------------------------
% 3.05/0.81 % (1770207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.81 % (1770207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1770207)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1770207)Termination reason: Instruction limit
% 3.51/0.90 % (1770207)Termination phase: shuffling
% 3.51/0.90 % (1770207)Time elapsed: 0.010 s
% 3.51/0.90 % (1770207)Peak memory usage: 10 MB
% 3.51/0.90 % (1770207)Instructions burned: 20 (million)
% 3.51/0.90 % (1770209)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=147750750:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.51/0.90 % (1770130)Instruction limit reached!
% 3.51/0.90 % (1770130)------------------------------
% 3.51/0.90 % (1770130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1770130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1770130)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1770130)Termination reason: Instruction limit
% 3.51/0.90 % (1770130)Termination phase: Saturation
% 3.51/0.90 % (1770130)Time elapsed: 0.320 s
% 3.51/0.90 % (1770130)Peak memory usage: 16 MB
% 3.51/0.90 % (1770130)Instructions burned: 636 (million)
% 3.51/0.90 % (1770212)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=417142491:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.51/0.90 % (1770199)Instruction limit reached!
% 3.51/0.90 % (1770199)------------------------------
% 3.51/0.90 % (1770199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1770199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1770199)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1770199)Termination reason: Instruction limit
% 3.51/0.90 % (1770199)Termination phase: Saturation
% 3.51/0.90 % (1770199)Time elapsed: 0.086 s
% 3.51/0.90 % (1770199)Peak memory usage: 14 MB
% 3.51/0.90 % (1770199)Instructions burned: 170 (million)
% 3.51/0.90 % (1770214)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3235940729:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.51/0.90 % (1770216)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=80180603:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.51/0.90 % (1770212)Instruction limit reached!
% 3.51/0.90 % (1770212)------------------------------
% 3.51/0.90 % (1770212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1770212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1770212)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1770212)Termination reason: Instruction limit
% 3.51/0.90 % (1770212)Termination phase: Property scanning
% 3.51/0.90 % (1770212)Time elapsed: 0.021 s
% 3.51/0.90 % (1770212)Peak memory usage: 10 MB
% 3.51/0.90 % (1770212)Instructions burned: 45 (million)
% 3.51/0.90 % (1770216)Instruction limit reached!
% 3.51/0.90 % (1770216)------------------------------
% 3.51/0.90 % (1770216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1770216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1770216)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1770216)Termination reason: Instruction limit
% 3.51/0.90 % (1770216)Termination phase: shuffling
% 3.51/0.90 % (1770216)Time elapsed: 0.010 s
% 3.51/0.90 % (1770216)Peak memory usage: 10 MB
% 3.51/0.90 % (1770216)Instructions burned: 21 (million)
% 3.51/0.90 % (1770219)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.51/0.90 % (1770219)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4153042755:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.51/0.90 % (1770191)Instruction limit reached!
% 3.51/0.90 % (1770191)------------------------------
% 3.51/0.90 % (1770191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1770191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1770191)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1770191)Termination reason: Instruction limit
% 3.51/0.90 % (1770191)Termination phase: Saturation
% 3.51/0.90 % (1770191)Time elapsed: 0.171 s
% 3.51/0.98 % (1770191)Peak memory usage: 14 MB
% 3.51/0.98 % (1770191)Instructions burned: 193 (million)
% 3.51/0.98 % (1770220)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=648519065:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.51/0.98 % (1770208)Instruction limit reached!
% 3.51/0.98 % (1770208)------------------------------
% 3.51/0.98 % (1770208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770208)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770208)Termination reason: Instruction limit
% 3.51/0.98 % (1770208)Termination phase: Saturation
% 3.51/0.98 % (1770208)Time elapsed: 0.089 s
% 3.51/0.98 % (1770208)Peak memory usage: 16 MB
% 3.51/0.98 % (1770208)Instructions burned: 317 (million)
% 3.51/0.98 % (1770220)Instruction limit reached!
% 3.51/0.98 % (1770220)------------------------------
% 3.51/0.98 % (1770220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770220)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770220)Termination reason: Instruction limit
% 3.51/0.98 % (1770220)Termination phase: shuffling
% 3.51/0.98 % (1770220)Time elapsed: 0.007 s
% 3.51/0.98 % (1770220)Peak memory usage: 10 MB
% 3.51/0.98 % (1770220)Instructions burned: 14 (million)
% 3.51/0.98 % (1770224)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1655657760:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.51/0.98 % (1770223)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=4132271827:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.51/0.98 % (1770225)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2484619965:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.51/0.98 % (1770224)Instruction limit reached!
% 3.51/0.98 % (1770224)------------------------------
% 3.51/0.98 % (1770224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770224)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770224)Termination reason: Instruction limit
% 3.51/0.98 % (1770224)Termination phase: Preprocessing 3
% 3.51/0.98 % (1770224)Time elapsed: 0.013 s
% 3.51/0.98 % (1770224)Peak memory usage: 11 MB
% 3.51/0.98 % (1770224)Instructions burned: 53 (million)
% 3.51/0.98 % (1770229)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3060259030:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.51/0.98 % (1770225)Instruction limit reached!
% 3.51/0.98 % (1770225)------------------------------
% 3.51/0.98 % (1770225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770225)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770225)Termination reason: Instruction limit
% 3.51/0.98 % (1770225)Termination phase: shuffling
% 3.51/0.98 % (1770225)Time elapsed: 0.015 s
% 3.51/0.98 % (1770225)Peak memory usage: 10 MB
% 3.51/0.98 % (1770225)Instructions burned: 33 (million)
% 3.51/0.98 % (1770223)Instruction limit reached!
% 3.51/0.98 % (1770223)------------------------------
% 3.51/0.98 % (1770223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770223)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770223)Termination reason: Instruction limit
% 3.51/0.98 % (1770223)Termination phase: Property scanning
% 3.51/0.98 % (1770223)Time elapsed: 0.030 s
% 3.51/0.98 % (1770223)Peak memory usage: 11 MB
% 3.51/0.98 % (1770223)Instructions burned: 66 (million)
% 3.51/0.98 % (1770231)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1953930855:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.51/0.98 % (1770232)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1397695591:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.51/0.98 % (1770229)Instruction limit reached!
% 3.51/0.98 % (1770229)------------------------------
% 3.51/0.98 % (1770229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770229)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770229)Termination reason: Instruction limit
% 3.51/0.98 % (1770229)Termination phase: Saturation
% 3.51/0.98 % (1770229)Time elapsed: 0.035 s
% 3.51/0.98 % (1770229)Peak memory usage: 14 MB
% 3.51/0.98 % (1770229)Instructions burned: 137 (million)
% 3.51/0.98 % (1770231)Instruction limit reached!
% 3.51/0.98 % (1770231)------------------------------
% 3.51/0.98 % (1770231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770231)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770231)Termination reason: Instruction limit
% 3.51/0.98 % (1770231)Termination phase: shuffling
% 3.51/0.98 % (1770231)Time elapsed: 0.016 s
% 3.51/0.98 % (1770231)Peak memory usage: 10 MB
% 3.51/0.98 % (1770231)Instructions burned: 34 (million)
% 3.51/0.98 % (1770219)Instruction limit reached!
% 3.51/0.98 % (1770219)------------------------------
% 3.51/0.98 % (1770219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770219)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770219)Termination reason: Instruction limit
% 3.51/0.98 % (1770219)Termination phase: Saturation
% 3.51/0.98 % (1770219)Time elapsed: 0.092 s
% 3.51/0.98 % (1770219)Peak memory usage: 14 MB
% 3.51/0.98 % (1770219)Instructions burned: 200 (million)
% 3.51/0.98 % (1770235)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.51/0.98 % (1770235)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1985588753:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 3.51/0.98 % (1770236)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1856877852:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.51/0.98 % (1770232)Instruction limit reached!
% 3.51/0.98 % (1770232)------------------------------
% 3.51/0.98 % (1770232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770232)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770232)Termination reason: Instruction limit
% 3.51/0.98 % (1770232)Termination phase: Preprocessing 3
% 3.51/0.98 % (1770232)Time elapsed: 0.033 s
% 3.51/0.98 % (1770232)Peak memory usage: 11 MB
% 3.51/0.98 % (1770232)Instructions burned: 68 (million)
% 3.51/0.98 % (1770237)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=28255863:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.51/0.98 % (1770240)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2653654910:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.51/0.98 % (1770235)Instruction limit reached!
% 3.51/0.98 % (1770235)------------------------------
% 3.51/0.98 % (1770235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770235)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770235)Termination reason: Instruction limit
% 3.51/0.98 % (1770235)Termination phase: Saturation
% 3.51/0.98 % (1770235)Time elapsed: 0.042 s
% 3.51/0.98 % (1770235)Peak memory usage: 13 MB
% 3.51/0.98 % (1770235)Instructions burned: 180 (million)
% 3.51/0.98 % (1770243)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1071503175:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.51/0.98 % (1770237)Instruction limit reached!
% 3.51/0.98 % (1770237)------------------------------
% 3.51/0.98 % (1770237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770237)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770237)Termination reason: Instruction limit
% 3.51/0.98 % (1770237)Termination phase: Function definition elimination
% 3.51/0.98 % (1770237)Time elapsed: 0.046 s
% 3.51/0.98 % (1770237)Peak memory usage: 12 MB
% 3.51/0.98 % (1770237)Instructions burned: 98 (million)
% 3.51/0.98 % (1770245)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2641982631:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.51/0.98 % (1770214)Instruction limit reached!
% 3.51/0.98 % (1770214)------------------------------
% 3.51/0.98 % (1770214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770214)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770214)Termination reason: Instruction limit
% 3.51/0.98 % (1770214)Termination phase: Saturation
% 3.51/0.98 % (1770214)Time elapsed: 0.251 s
% 3.51/0.98 % (1770214)Peak memory usage: 17 MB
% 3.51/0.98 % (1770214)Instructions burned: 482 (million)
% 3.51/0.98 % (1770209) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1770122-1770209"...
% 3.51/0.98 % (1770236)Instruction limit reached!
% 3.51/0.98 % (1770236)------------------------------
% 3.51/0.98 % (1770236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770236)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770236)Termination reason: Instruction limit
% 3.51/0.98 % (1770236)Termination phase: Saturation
% 3.51/0.98 % (1770236)Time elapsed: 0.129 s
% 3.51/0.98 % (1770236)Peak memory usage: 15 MB
% 3.51/0.98 % (1770236)Instructions burned: 246 (million)
% 3.51/0.98 % (1770247)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=231649410:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 3.51/0.98 % (1770209)...printing done.
% 3.51/0.98 % (1770209)Refutation found. Thanks to Tanya!
% 3.51/0.98 % SZS status Theorem for theBenchmark
% 3.51/0.98 % SZS output start Proof for theBenchmark
% 3.51/0.98 thf(type_def_5, type, product_unit: $tType).
% 3.51/0.98 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 3.51/0.98 thf(type_def_7, type, state: $tType).
% 3.51/0.98 thf(type_def_8, type, com: $tType).
% 3.51/0.98 thf(type_def_9, type, set: $tType > $tType).
% 3.51/0.98 thf(type_def_10, type, nat: $tType).
% 3.51/0.98 thf(type_def_11, type, a: $tType).
% 3.51/0.98 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 3.51/0.98 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 3.51/0.98 thf(func_def_1, type, bot: !>[X0: $tType]:($o)).
% 3.51/0.98 thf(func_def_2, type, basic_fsts: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X0))).
% 3.51/0.98 thf(func_def_3, type, basic_snds: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > set @ X1))).
% 3.51/0.98 thf(func_def_4, type, fun_reduction_pair: !>[X0: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o))).
% 3.51/0.98 thf(func_def_5, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1))).
% 3.51/0.98 thf(func_def_6, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_7, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 3.51/0.98 thf(func_def_8, type, suc: (nat > nat)).
% 3.51/0.98 thf(func_def_9, type, order_above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 3.51/0.98 thf(func_def_10, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 3.51/0.98 thf(func_def_11, type, order_1409979114der_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 3.51/0.98 thf(func_def_12, type, order_preorder_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 3.51/0.98 thf(func_def_13, type, bot_bot: !>[X0: $tType]:(X0)).
% 3.51/0.98 thf(func_def_14, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.51/0.98 thf(func_def_15, type, pHoare304044376tvalid: !>[X0: $tType]:((set @ product_prod @ (X0 > state > $o) @ product_prod @ com @ (X0 > state > $o) > (X0 > state > $o) > com > (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_16, type, pHoare166426476thoare: !>[X0: $tType]:((set @ product_prod @ (X0 > state > $o) @ product_prod @ com @ (X0 > state > $o) > (X0 > state > $o) > com > (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_17, type, pHoare987424603tvalid: !>[X0: $tType]:(((X0 > state > $o) > com > (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_18, type, cnvalid: !>[X0: $tType]:((set @ product_prod @ (X0 > state > $o) @ product_prod @ com @ (X0 > state > $o) > nat > (X0 > state > $o) > com > (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_19, type, cvalid: !>[X0: $tType]:((set @ product_prod @ (X0 > state > $o) @ product_prod @ com @ (X0 > state > $o) > (X0 > state > $o) > com > (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_20, type, hoare: !>[X0: $tType]:((set @ product_prod @ (X0 > state > $o) @ product_prod @ com @ (X0 > state > $o) > (X0 > state > $o) > com > (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_21, type, nvalid: !>[X0: $tType]:((nat > (X0 > state > $o) > com > (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_22, type, nvalids: !>[X0: $tType]:((nat > set @ product_prod @ (X0 > state > $o) @ product_prod @ com @ (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_23, type, valid: !>[X0: $tType]:(((X0 > state > $o) > com > (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_24, type, valids: !>[X0: $tType]:((set @ product_prod @ (X0 > state > $o) @ product_prod @ com @ (X0 > state > $o) > $o))).
% 3.51/0.98 thf(func_def_25, type, body: com).
% 3.51/0.98 thf(func_def_26, type, call: com).
% 3.51/0.98 thf(func_def_27, type, semi: (com > com > com)).
% 3.51/0.98 thf(func_def_28, type, while: ((state > $o) > com > com)).
% 3.51/0.98 thf(func_def_29, type, exec: (state > com > state > $o)).
% 3.51/0.98 thf(func_def_30, type, execn: (state > com > nat > state > $o)).
% 3.51/0.98 thf(func_def_31, type, termi: (com > state > $o)).
% 3.51/0.98 thf(func_def_32, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 3.51/0.98 thf(func_def_33, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 3.51/0.98 thf(func_def_34, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 3.51/0.98 thf(func_def_35, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 3.51/0.98 thf(func_def_36, type, product_rec_set_unit: !>[X0: $tType]:((X0 > product_unit > X0 > $o))).
% 3.51/0.98 thf(func_def_37, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 3.51/0.98 thf(func_def_38, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 3.51/0.98 thf(func_def_39, type, domain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0))).
% 3.51/0.98 thf(func_def_40, type, id_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0))).
% 3.51/0.98 thf(func_def_41, type, powp: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 3.51/0.98 thf(func_def_42, type, range: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X1))).
% 3.51/0.98 thf(func_def_43, type, rangep: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > $o))).
% 3.51/0.98 thf(func_def_44, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 3.51/0.98 thf(func_def_45, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 3.51/0.98 thf(func_def_46, type, irreflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 3.51/0.98 thf(func_def_47, type, refl_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 3.51/0.98 thf(func_def_48, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 3.51/0.98 thf(func_def_49, type, trans: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 3.51/0.98 thf(func_def_50, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 3.51/0.98 thf(func_def_51, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 3.51/0.98 thf(func_def_52, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 3.51/0.98 thf(func_def_53, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 3.51/0.98 thf(func_def_54, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 3.51/0.98 thf(func_def_55, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 3.51/0.98 thf(func_def_56, type, less_than: set @ product_prod @ nat @ nat).
% 3.51/0.98 thf(func_def_57, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 3.51/0.98 thf(func_def_58, type, measure: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0))).
% 3.51/0.98 thf(func_def_59, type, mlex_prod: !>[X0: $tType]:(((X0 > nat) > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 3.51/0.98 thf(func_def_60, type, pred_nat: set @ product_prod @ nat @ nat).
% 3.51/0.98 thf(func_def_61, type, wf: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 3.51/0.98 thf(func_def_62, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 3.51/0.98 thf(func_def_63, type, chains: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ set @ X0))).
% 3.51/0.98 thf(func_def_64, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 3.51/0.98 thf(func_def_65, type, pa: (a > state > $o)).
% 3.51/0.98 thf(func_def_66, type, qa: (a > state > $o)).
% 3.51/0.98 thf(func_def_67, type, r: set @ product_prod @ state @ state).
% 3.51/0.98 thf(func_def_68, type, x: state).
% 3.51/0.98 thf(func_def_72, type, db1: !>[X0: $tType]:(X0)).
% 3.51/0.98 thf(func_def_73, type, db0: !>[X0: $tType]:(X0)).
% 3.51/0.98 thf(func_def_74, type, db2: !>[X0: $tType]:(X0)).
% 3.51/0.98 thf(func_def_75, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.51/0.98 thf(func_def_76, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.51/0.98 thf(func_def_77, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.51/0.98 thf(func_def_78, type, vIMP: ($o > $o > $o)).
% 3.51/0.98 thf(func_def_79, type, db3: !>[X0: $tType]:(X0)).
% 3.51/0.98 thf(func_def_80, type, db5: !>[X0: $tType]:(X0)).
% 3.51/0.98 thf(func_def_81, type, vNOT: ($o > $o)).
% 3.51/0.98 thf(func_def_82, type, db4: !>[X0: $tType]:(X0)).
% 3.51/0.98 thf(func_def_83, type, db6: !>[X0: $tType]:(X0)).
% 3.51/0.98 thf(func_def_84, type, vAND: ($o > $o > $o)).
% 3.51/0.98 thf(func_def_85, type, vOR: ($o > $o > $o)).
% 3.51/0.98 thf(func_def_86, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.51/0.98 thf(func_def_87, type, sK0: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X1 > X0))).
% 3.51/0.98 thf(func_def_88, type, sK1: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X1 > X0))).
% 3.51/0.98 thf(func_def_89, type, sK2: !>[X0: $tType, X1: $tType]:(((X0 > set @ product_prod @ X1 @ X1) > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_90, type, sK3: !>[X0: $tType]:((set @ X0 > X0))).
% 3.51/0.98 thf(func_def_91, type, sK4: (state > state)).
% 3.51/0.98 thf(func_def_92, type, sK5: (state > state)).
% 3.51/0.98 thf(func_def_93, type, sK6: (state > a)).
% 3.51/0.98 thf(func_def_94, type, sK7: (state > state)).
% 3.51/0.98 thf(func_def_95, type, sK8: (state > a)).
% 3.51/0.98 thf(func_def_96, type, sK9: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_97, type, sK10: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X1 > X0))).
% 3.51/0.98 thf(func_def_98, type, sK11: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X1 > X1))).
% 3.51/0.98 thf(func_def_99, type, sK12: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ X1 @ X0 > X0))).
% 3.51/0.98 thf(func_def_100, type, sK13: (com > (nat > state) > nat)).
% 3.51/0.98 thf(func_def_101, type, sK14: ((state > $o) > (nat > state) > nat)).
% 3.51/0.98 thf(func_def_102, type, sK15: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 3.51/0.98 thf(func_def_103, type, sK16: (com > (nat > state) > nat)).
% 3.51/0.98 thf(func_def_104, type, sK17: ((state > $o) > (nat > state) > nat)).
% 3.51/0.98 thf(func_def_105, type, sK18: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_106, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X2))).
% 3.51/0.98 thf(func_def_107, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X4))).
% 3.51/0.98 thf(func_def_108, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X3))).
% 3.51/0.98 thf(func_def_109, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_110, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X1))).
% 3.51/0.98 thf(func_def_111, type, sK24: (com > state > com > state)).
% 3.51/0.98 thf(func_def_112, type, sK25: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_113, type, sK26: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_114, type, sK27: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 3.51/0.98 thf(func_def_115, type, sK28: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 3.51/0.98 thf(func_def_116, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ X0 > X2))).
% 3.51/0.98 thf(func_def_117, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ X0 > X3))).
% 3.51/0.98 thf(func_def_118, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ X0 > X1))).
% 3.51/0.98 thf(func_def_119, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ X0 > X0))).
% 3.51/0.98 thf(func_def_120, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X4 @ X0 > X4))).
% 3.51/0.98 thf(func_def_121, type, sK34: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_122, type, sK35: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 3.51/0.98 thf(func_def_123, type, sK36: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_124, type, sK37: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 3.51/0.98 thf(func_def_125, type, sK38: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_126, type, sK39: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_127, type, sK40: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > X0 > X1))).
% 3.51/0.98 thf(func_def_128, type, sK41: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 3.51/0.98 thf(func_def_129, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X3 > $o) > X3))).
% 3.51/0.98 thf(func_def_130, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X3 > $o) > X1))).
% 3.51/0.98 thf(func_def_131, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X3 > $o) > X4))).
% 3.51/0.98 thf(func_def_132, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X3 > $o) > X5))).
% 3.51/0.98 thf(func_def_133, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X3 > $o) > X6))).
% 3.51/0.98 thf(func_def_134, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X3 > $o) > X2))).
% 3.51/0.98 thf(func_def_135, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X4 @ X3 > $o) > X0))).
% 3.51/0.98 thf(func_def_136, type, sK49: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_137, type, sK50: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_138, type, sK51: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > X0))).
% 3.51/0.98 thf(func_def_139, type, sK52: !>[X0: $tType]:((set @ product_prod @ state @ state > (X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_140, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X2))).
% 3.51/0.98 thf(func_def_141, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X1))).
% 3.51/0.98 thf(func_def_142, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X0))).
% 3.51/0.98 thf(func_def_143, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X3))).
% 3.51/0.98 thf(func_def_144, type, sK57: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_145, type, sK58: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 3.51/0.98 thf(func_def_146, type, sK59: !>[X0: $tType]:((set @ X0 > product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_147, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X0 > X1) > (X2 > X0 > X1) > X0))).
% 3.51/0.98 thf(func_def_148, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X0 > X1) > (X2 > X0 > X1) > X2))).
% 3.51/0.98 thf(func_def_149, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ X4 > X6))).
% 3.51/0.98 thf(func_def_150, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ X4 > X5))).
% 3.51/0.98 thf(func_def_151, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ X4 > X0))).
% 3.51/0.98 thf(func_def_152, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ X4 > X4))).
% 3.51/0.98 thf(func_def_153, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ X4 > X2))).
% 3.51/0.98 thf(func_def_154, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ X4 > X1))).
% 3.51/0.98 thf(func_def_155, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ X4 > X3))).
% 3.51/0.98 thf(func_def_156, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X0))).
% 3.51/0.98 thf(func_def_157, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X2))).
% 3.51/0.98 thf(func_def_158, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X1))).
% 3.51/0.98 thf(func_def_159, type, sK72: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X0))).
% 3.51/0.98 thf(func_def_160, type, sK73: !>[X0: $tType]:((set @ X0 > X0))).
% 3.51/0.98 thf(func_def_161, type, sK74: !>[X0: $tType]:((set @ X0 > X0))).
% 3.51/0.98 thf(func_def_162, type, sK75: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_163, type, sK76: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > X0))).
% 3.51/0.98 thf(func_def_164, type, sK77: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0 > $o) > X1))).
% 3.51/0.98 thf(func_def_165, type, sK78: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_166, type, sK79: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 3.51/0.98 thf(func_def_167, type, sK80: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 3.51/0.98 thf(func_def_168, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X2 > X0 > X1 > $o) > product_prod @ X2 @ X0 > X2))).
% 3.51/0.98 thf(func_def_169, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X2 > X0 > X1 > $o) > product_prod @ X2 @ X0 > X0))).
% 3.51/0.98 thf(func_def_170, type, sK83: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1))).
% 3.51/0.98 thf(func_def_171, type, sK84: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 3.51/0.98 thf(func_def_172, type, sK85: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 3.51/0.98 thf(func_def_173, type, sK86: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 3.51/0.98 thf(func_def_174, type, sK87: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X0))).
% 3.51/0.98 thf(func_def_175, type, sK88: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 3.51/0.98 thf(func_def_176, type, sK89: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1))).
% 3.51/0.98 thf(func_def_177, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X1))).
% 3.51/0.98 thf(func_def_178, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X3))).
% 3.51/0.98 thf(func_def_179, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X0))).
% 3.51/0.98 thf(func_def_180, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X2))).
% 3.51/0.98 thf(func_def_181, type, sK94: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 3.51/0.98 thf(func_def_182, type, sK95: state).
% 3.51/0.98 thf(func_def_183, type, sK96: a).
% 3.51/0.98 thf(func_def_184, type, sK97: state).
% 3.51/0.98 thf(func_def_185, type, sK98: state).
% 3.51/0.98 thf(func_def_186, type, sK99: a).
% 3.51/0.98 thf(func_def_187, type, sK100: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_188, type, sK101: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_189, type, sK102: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > X1 > X1))).
% 3.51/0.98 thf(func_def_190, type, sK103: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > X1 > X0))).
% 3.51/0.98 thf(func_def_191, type, sK104: (com > nat > (state > $o) > (state > $o) > state)).
% 3.51/0.98 thf(func_def_192, type, sK105: (com > nat > (state > $o) > (state > $o) > state)).
% 3.51/0.98 thf(func_def_193, type, sK106: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 3.51/0.98 thf(func_def_194, type, sK107: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 3.51/0.98 thf(func_def_195, type, sK108: (com > (state > $o) > (state > $o) > nat > state)).
% 3.51/0.98 thf(func_def_196, type, sK109: (com > (state > $o) > (state > $o) > nat > state)).
% 3.51/0.98 thf(func_def_197, type, sK110: !>[X0: $tType]:((set @ X0 > X0))).
% 3.51/0.98 thf(func_def_198, type, sK111: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0 > $o) > X1))).
% 3.51/0.98 thf(func_def_199, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X1))).
% 3.51/0.98 thf(func_def_200, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X2))).
% 3.51/0.98 thf(func_def_201, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_202, type, sK115: !>[X0: $tType]:(((X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_203, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > set @ X2) > X2 > X0))).
% 3.51/0.98 thf(func_def_204, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > set @ X2) > X2 > X1))).
% 3.51/0.98 thf(func_def_205, type, sK118: !>[X0: $tType]:((set @ X0 > X0))).
% 3.51/0.98 thf(func_def_206, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ X4 > $o) > X4))).
% 3.51/0.98 thf(func_def_207, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ X4 > $o) > X5))).
% 3.51/0.98 thf(func_def_208, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ X4 > $o) > X2))).
% 3.51/0.98 thf(func_def_209, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ X4 > $o) > X0))).
% 3.51/0.98 thf(func_def_210, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ X4 > $o) > X1))).
% 3.51/0.98 thf(func_def_211, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ X4 > $o) > X3))).
% 3.51/0.98 thf(func_def_212, type, sK125: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ X1 @ X0 > X0))).
% 3.51/0.98 thf(func_def_213, type, sK126: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 3.51/0.98 thf(func_def_214, type, sK127: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_215, type, sK128: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_216, type, sK129: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > (X0 > $o) > X1))).
% 3.51/0.98 thf(func_def_217, type, sK130: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_218, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 3.51/0.98 thf(func_def_219, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 3.51/0.98 thf(func_def_220, type, sK133: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 3.51/0.98 thf(func_def_221, type, sK134: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1) > (X0 > X2 > X1) > product_prod @ X0 @ X2 > X2))).
% 3.51/0.98 thf(func_def_222, type, sK135: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1) > (X0 > X2 > X1) > product_prod @ X0 @ X2 > X0))).
% 3.51/0.98 thf(func_def_223, type, sK136: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_224, type, sK137: !>[X0: $tType]:((X0 > X0 > set @ X0 > set @ X0 > set @ X0))).
% 3.51/0.98 thf(func_def_225, type, sK138: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_226, type, sK139: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X2 > X3))).
% 3.51/0.98 thf(func_def_227, type, sK140: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X2 > X2))).
% 3.51/0.98 thf(func_def_228, type, sK141: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X2 > X4))).
% 3.51/0.98 thf(func_def_229, type, sK142: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X2 > X0))).
% 3.51/0.98 thf(func_def_230, type, sK143: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X2 > X5))).
% 3.51/0.98 thf(func_def_231, type, sK144: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X2 > X1))).
% 3.51/0.98 thf(func_def_232, type, sK145: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_233, type, sK146: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_234, type, sK147: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_235, type, sK148: !>[X0: $tType]:((set @ product_prod @ state @ state > (X0 > state > $o) > com > (state > $o) > set @ product_prod @ (X0 > state > $o) @ product_prod @ com @ (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_236, type, sK149: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0 > X1))).
% 3.51/0.98 thf(func_def_237, type, sK150: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > X0))).
% 3.51/0.98 thf(func_def_238, type, sK151: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_239, type, sK152: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ product_prod @ X1 @ X0 > X1))).
% 3.51/0.98 thf(func_def_240, type, sK153: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ product_prod @ X1 @ X0 > X0))).
% 3.51/0.98 thf(func_def_241, type, sK154: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 3.51/0.98 thf(func_def_242, type, sK155: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > X0))).
% 3.51/0.98 thf(func_def_243, type, sK156: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_244, type, sK157: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_245, type, sK158: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > X0))).
% 3.51/0.98 thf(func_def_246, type, sK159: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_247, type, sK160: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > state))).
% 3.51/0.98 thf(func_def_248, type, sK161: !>[X0: $tType]:(((X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > (X0 > state > $o) > X0))).
% 3.51/0.98 thf(func_def_249, type, sK162: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (nat > X0) > nat))).
% 3.51/0.98 thf(func_def_250, type, sK163: !>[X0: $tType]:(((X0 > $o) > X0))).
% 3.51/0.98 thf(func_def_251, type, sK164: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 3.51/0.98 thf(func_def_252, type, sK165: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X0 > X2 > X1 > $o) > product_prod @ X0 @ X2 > X0))).
% 3.51/0.98 thf(func_def_253, type, sK166: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X0 > X2 > X1 > $o) > product_prod @ X0 @ X2 > X2))).
% 3.51/0.98 thf(func_def_254, type, sK167: !>[X0: $tType]:((set @ X0 > X0))).
% 3.51/0.98 thf(func_def_255, type, sK168: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 3.51/0.98 thf(func_def_256, type, sK169: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 3.51/0.98 thf(func_def_257, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1) > (X1 > $o) > product_prod @ X2 @ X0 > X2))).
% 3.51/0.98 thf(func_def_258, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1) > (X1 > $o) > product_prod @ X2 @ X0 > X0))).
% 3.51/0.98 thf(func_def_259, type, sK172: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 3.51/0.98 thf(func_def_260, type, sK173: (com > (state > $o) > state > state)).
% 3.51/0.98 thf(func_def_261, type, sK174: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > X1 > X0))).
% 3.51/0.98 thf(f265,axiom,(
% 3.51/0.98 ! [X0 : state] : ((pHoare166426476thoare @ a @ (insert @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (product_Pair @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (^[X1 : a, X2 : state] : ((pa @ X1 @ X2) & (member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ X0) @ r))) @ (product_Pair @ com @ (a > state > $o) @ call @ qa)) @ bot_bot @ set @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o)) @ (^[X1 : a, X2 : state] : ((pa @ X1 @ X2) & (X2 = X0))) @ body @ qa) & ((! [X4 : state,X3 : state] : ((exec @ X3 @ body @ X4) => ! [X5 : a] : (((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X3 @ X0) @ r) & (pa @ X5 @ X3)) => (qa @ X5 @ X4))) & ! [X5 : a,X3 : state] : (((pa @ X5 @ X3) & (member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X3 @ X0) @ r)) => (termi @ body @ X3))) => (! [X6 : state,X8 : a] : (((X6 = X0) & (pa @ X8 @ X6)) => (termi @ body @ X6)) & ! [X7 : state,X6 : state] : ((exec @ X6 @ body @ X7) => ! [X8 : a] : (((X6 = X0) & (pa @ X8 @ X6)) => (qa @ X8 @ X7))))))),
% 3.51/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 3.51/0.98 thf(f266,axiom,(
% 3.51/0.98 ! [X0 : state] : ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X0 @ x) @ r) => (! [X1 : state,X3 : a] : (((pa @ X3 @ X1) & (X1 = X0)) => (termi @ body @ X1)) & ! [X2 : state,X1 : state] : ((exec @ X1 @ body @ X2) => ! [X3 : a] : (((X1 = X0) & (pa @ X3 @ X1)) => (qa @ X3 @ X2)))))),
% 3.51/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 3.51/0.98 thf(f267,conjecture,(
% 3.51/0.98 ! [X0 : state,X1 : state] : (~(exec @ X0 @ body @ X1) | ! [X2 : a] : ((qa @ X2 @ X1) | ~(pa @ X2 @ X0) | (X0 != x))) & ! [X2 : a,X0 : state] : ((termi @ body @ X0) | (X0 != x) | ~(pa @ X2 @ X0))),
% 3.51/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 3.51/0.98 thf(f268,negated_conjecture,(
% 3.51/0.98 ~(! [X0 : state,X1 : state] : (~(exec @ X0 @ body @ X1) | ! [X2 : a] : ((qa @ X2 @ X1) | ~(pa @ X2 @ X0) | (X0 != x))) & ! [X2 : a,X0 : state] : ((termi @ body @ X0) | (X0 != x) | ~(pa @ X2 @ X0)))),
% 3.51/0.98 inference(negated_conjecture,[status(cth)],[f267])).
% 3.51/0.98 thf(f367,plain,(
% 3.51/0.98 ~(! [X0 : state,X1 : state] : (~(exec @ X0 @ body @ X1) | ! [X2 : a] : ((qa @ X2 @ X1) | ~(pa @ X2 @ X0) | (X0 != x))) & ! [X3 : a,X4 : state] : ((termi @ body @ X4) | (x != X4) | ~(pa @ X3 @ X4)))),
% 3.51/0.98 inference(rectify,[],[f268])).
% 3.51/0.98 thf(f368,plain,(
% 3.51/0.98 ~(! [X0 : state,X1 : state] : (~ (((exec @ X0 @ body @ X1)) = $true) | ! [X2 : a] : ((((qa @ X2 @ X1)) = $true) | ~ (((pa @ X2 @ X0)) = $true) | (x != X0))) & ! [X3 : a,X4 : state] : (($true = ((termi @ body @ X4))) | (x != X4) | ~ ($true = ((pa @ X3 @ X4)))))),
% 3.51/0.98 inference(fool_elimination,[],[f367])).
% 3.51/0.98 thf(f465,plain,(
% 3.51/0.98 ! [X0 : state] : ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X0 @ x) @ r) => (! [X1 : state,X2 : a] : (((pa @ X2 @ X1) & (X1 = X0)) => (termi @ body @ X1)) & ! [X3 : state,X4 : state] : ((exec @ X4 @ body @ X3) => ! [X5 : a] : (((X0 = X4) & (pa @ X5 @ X4)) => (qa @ X5 @ X3)))))),
% 3.51/0.98 inference(rectify,[],[f266])).
% 3.51/0.98 thf(f466,plain,(
% 3.51/0.98 ! [X0 : state] : ((((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X0 @ x) @ r)) = $true) => (! [X3 : state,X4 : state] : (($true = ((exec @ X4 @ body @ X3))) => ! [X5 : a] : (((X0 = X4) & ($true = ((pa @ X5 @ X4)))) => ($true = ((qa @ X5 @ X3))))) & ! [X1 : state,X2 : a] : (((X0 = X1) & ($true = ((pa @ X2 @ X1)))) => (((termi @ body @ X1)) = $true))))),
% 3.51/0.98 inference(fool_elimination,[],[f465])).
% 3.51/0.98 thf(f667,plain,(
% 3.51/0.98 ! [X0 : state] : ((pHoare166426476thoare @ a @ (insert @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (product_Pair @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (^[X1 : a, X2 : state] : ((pa @ X1 @ X2) & (member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ X0) @ r))) @ (product_Pair @ com @ (a > state > $o) @ call @ qa)) @ bot_bot @ set @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o)) @ (^[X3 : a, X4 : state] : ((pa @ X3 @ X4) & (X0 = X4))) @ body @ qa) & ((! [X5 : state,X6 : state] : ((exec @ X6 @ body @ X5) => ! [X7 : a] : (((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X6 @ X0) @ r) & (pa @ X7 @ X6)) => (qa @ X7 @ X5))) & ! [X8 : a,X9 : state] : (((pa @ X8 @ X9) & (member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X9 @ X0) @ r)) => (termi @ body @ X9))) => (! [X10 : state,X11 : a] : (((X0 = X10) & (pa @ X11 @ X10)) => (termi @ body @ X10)) & ! [X12 : state,X13 : state] : ((exec @ X13 @ body @ X12) => ! [X14 : a] : (((X0 = X13) & (pa @ X14 @ X13)) => (qa @ X14 @ X12))))))),
% 3.51/0.98 inference(rectify,[],[f265])).
% 3.51/0.98 thf(f668,plain,(
% 3.51/0.98 ! [X0 : state] : (($true = ((pHoare166426476thoare @ a @ (insert @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (product_Pair @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (^[Y0 : a]: ((^[Y1 : state]: ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ Y1 @ X0) @ r) & (pa @ Y0 @ Y1))))) @ (product_Pair @ com @ (a > state > $o) @ call @ qa)) @ bot_bot @ set @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o)) @ (^[Y0 : a]: ((^[Y1 : state]: ((X0 = Y1) & (pa @ Y0 @ Y1))))) @ body @ qa))) & ((! [X5 : state,X6 : state] : (($true = ((exec @ X6 @ body @ X5))) => ! [X7 : a] : ((($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X6 @ X0) @ r))) & ($true = ((pa @ X7 @ X6)))) => ($true = ((qa @ X7 @ X5))))) & ! [X8 : a,X9 : state] : ((($true = ((pa @ X8 @ X9))) & ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X9 @ X0) @ r)))) => ($true = ((termi @ body @ X9))))) => (! [X10 : state,X11 : a] : (((X0 = X10) & ($true = ((pa @ X11 @ X10)))) => ($true = ((termi @ body @ X10)))) & ! [X12 : state,X13 : state] : (($true = ((exec @ X13 @ body @ X12))) => ! [X14 : a] : (((X0 = X13) & (((pa @ X14 @ X13)) = $true)) => ($true = ((qa @ X14 @ X12))))))))),
% 3.51/0.98 inference(fool_elimination,[],[f667])).
% 3.51/0.98 thf(f726,plain,(
% 3.51/0.98 ~(! [X1 : state,X0 : state] : (! [X2 : a] : ((x != X0) | (((qa @ X2 @ X1)) = $true) | (((pa @ X2 @ X0)) != $true)) | (((exec @ X0 @ body @ X1)) != $true)) & ! [X3 : a,X4 : state] : (($true != ((pa @ X3 @ X4))) | (x != X4) | ($true = ((termi @ body @ X4)))))),
% 3.51/0.98 inference(flattening,[],[f368])).
% 3.51/0.98 thf(f772,plain,(
% 3.51/0.98 ! [X0 : state] : (($true = ((pHoare166426476thoare @ a @ (insert @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (product_Pair @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (^[Y0 : a]: ((^[Y1 : state]: ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ Y1 @ X0) @ r) & (pa @ Y0 @ Y1))))) @ (product_Pair @ com @ (a > state > $o) @ call @ qa)) @ bot_bot @ set @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o)) @ (^[Y0 : a]: ((^[Y1 : state]: ((X0 = Y1) & (pa @ Y0 @ Y1))))) @ body @ qa))) & ((! [X5 : state,X4 : a] : ((($true = ((pa @ X4 @ X5))) & ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X5 @ X0) @ r)))) => ($true = ((termi @ body @ X5)))) & ! [X2 : state,X1 : state] : (($true = ((exec @ X2 @ body @ X1))) => ! [X3 : a] : ((($true = ((pa @ X3 @ X2))) & (((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ X0) @ r)) = $true)) => ($true = ((qa @ X3 @ X1)))))) => (! [X6 : state,X7 : a] : ((($true = ((pa @ X7 @ X6))) & (X0 = X6)) => (((termi @ body @ X6)) = $true)) & ! [X8 : state,X9 : state] : (($true = ((exec @ X9 @ body @ X8))) => ! [X10 : a] : (((X0 = X9) & ($true = ((pa @ X10 @ X9)))) => ($true = ((qa @ X10 @ X8))))))))),
% 3.51/0.98 inference(rectify,[],[f668])).
% 3.51/0.98 thf(f788,plain,(
% 3.51/0.98 ! [X0 : state] : (($true = ((pHoare166426476thoare @ a @ (insert @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (product_Pair @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (^[Y0 : a]: ((^[Y1 : state]: ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ Y1 @ X0) @ r) & (pa @ Y0 @ Y1))))) @ (product_Pair @ com @ (a > state > $o) @ call @ qa)) @ bot_bot @ set @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o)) @ (^[Y0 : a]: ((^[Y1 : state]: ((X0 = Y1) & (pa @ Y0 @ Y1))))) @ body @ qa))) & ((! [X6 : state,X7 : a] : ((((termi @ body @ X6)) = $true) | (($true != ((pa @ X7 @ X6))) | (X0 != X6))) & ! [X8 : state,X9 : state] : (! [X10 : a] : (($true = ((qa @ X10 @ X8))) | ((X0 != X9) | ($true != ((pa @ X10 @ X9))))) | ($true != ((exec @ X9 @ body @ X8))))) | (? [X5 : state,X4 : a] : (($true != ((termi @ body @ X5))) & (($true = ((pa @ X4 @ X5))) & ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X5 @ X0) @ r))))) | ? [X2 : state,X1 : state] : (? [X3 : a] : (($true != ((qa @ X3 @ X1))) & (($true = ((pa @ X3 @ X2))) & (((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ X0) @ r)) = $true))) & ($true = ((exec @ X2 @ body @ X1)))))))),
% 3.51/0.98 inference(ennf_transformation,[],[f772])).
% 3.51/0.98 thf(f789,plain,(
% 3.51/0.98 ! [X0 : state] : ((? [X1 : state,X2 : state] : (? [X3 : a] : ((((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ X0) @ r)) = $true) & ($true = ((pa @ X3 @ X2))) & ($true != ((qa @ X3 @ X1)))) & ($true = ((exec @ X2 @ body @ X1)))) | (! [X7 : a,X6 : state] : ((((termi @ body @ X6)) = $true) | ($true != ((pa @ X7 @ X6))) | (X0 != X6)) & ! [X8 : state,X9 : state] : (($true != ((exec @ X9 @ body @ X8))) | ! [X10 : a] : (($true = ((qa @ X10 @ X8))) | ($true != ((pa @ X10 @ X9))) | (X0 != X9)))) | ? [X5 : state,X4 : a] : (($true != ((termi @ body @ X5))) & ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X5 @ X0) @ r))) & ($true = ((pa @ X4 @ X5))))) & ($true = ((pHoare166426476thoare @ a @ (insert @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (product_Pair @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (^[Y0 : a]: ((^[Y1 : state]: ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ Y1 @ X0) @ r) & (pa @ Y0 @ Y1))))) @ (product_Pair @ com @ (a > state > $o) @ call @ qa)) @ bot_bot @ set @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o)) @ (^[Y0 : a]: ((^[Y1 : state]: ((X0 = Y1) & (pa @ Y0 @ Y1))))) @ body @ qa))))),
% 3.51/0.98 inference(flattening,[],[f788])).
% 3.51/0.98 thf(f935,plain,(
% 3.51/0.98 ! [X0 : state] : ((! [X3 : state,X4 : state] : (! [X5 : a] : (($true = ((qa @ X5 @ X3))) | ((X0 != X4) | ($true != ((pa @ X5 @ X4))))) | ($true != ((exec @ X4 @ body @ X3)))) & ! [X1 : state,X2 : a] : ((((termi @ body @ X1)) = $true) | ((X0 != X1) | ($true != ((pa @ X2 @ X1)))))) | (((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X0 @ x) @ r)) != $true))),
% 3.51/0.98 inference(ennf_transformation,[],[f466])).
% 3.51/0.98 thf(f936,plain,(
% 3.51/0.98 ! [X0 : state] : ((((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X0 @ x) @ r)) != $true) | (! [X2 : a,X1 : state] : ((((termi @ body @ X1)) = $true) | (X0 != X1) | ($true != ((pa @ X2 @ X1)))) & ! [X3 : state,X4 : state] : (($true != ((exec @ X4 @ body @ X3))) | ! [X5 : a] : ((X0 != X4) | ($true != ((pa @ X5 @ X4))) | ($true = ((qa @ X5 @ X3)))))))),
% 3.51/0.98 inference(flattening,[],[f935])).
% 3.51/0.98 thf(f948,plain,(
% 3.51/0.98 ? [X4 : state,X3 : a] : ((x = X4) & ($true = ((pa @ X3 @ X4))) & ($true != ((termi @ body @ X4)))) | ? [X0 : state,X1 : state] : (? [X2 : a] : ((((pa @ X2 @ X0)) = $true) & (((qa @ X2 @ X1)) != $true) & (x = X0)) & (((exec @ X0 @ body @ X1)) = $true))),
% 3.51/0.98 inference(ennf_transformation,[],[f726])).
% 3.51/0.98 thf(f970,plain,(
% 3.51/0.98 ! [X0 : state] : ((? [X1 : state,X2 : state] : (? [X3 : a] : ((((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ X0) @ r)) = $true) & ($true = ((pa @ X3 @ X2))) & ($true != ((qa @ X3 @ X1)))) & ($true = ((exec @ X2 @ body @ X1)))) | (! [X4 : a,X5 : state] : (($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5)) & ! [X6 : state,X7 : state] : (($true != ((exec @ X7 @ body @ X6))) | ! [X8 : a] : (($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7)))) | ? [X9 : state,X10 : a] : (($true != ((termi @ body @ X9))) & ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X9 @ X0) @ r))) & ($true = ((pa @ X10 @ X9))))) & ($true = ((pHoare166426476thoare @ a @ (insert @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (product_Pair @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (^[Y0 : a]: ((^[Y1 : state]: ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ Y1 @ X0) @ r) & (pa @ Y0 @ Y1))))) @ (product_Pair @ com @ (a > state > $o) @ call @ qa)) @ bot_bot @ set @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o)) @ (^[Y0 : a]: ((^[Y1 : state]: ((X0 = Y1) & (pa @ Y0 @ Y1))))) @ body @ qa))))),
% 3.51/0.98 inference(rectify,[],[f789])).
% 3.51/0.98 thf(f971,plain,(
% 3.51/0.98 ! [X0 : state] : ((((($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X0) @ X0) @ r))) & ($true = ((pa @ (sK6 @ X0) @ (sK5 @ X0)))) & ($true != ((qa @ (sK6 @ X0) @ (sK4 @ X0))))) & ($true = ((exec @ (sK5 @ X0) @ body @ (sK4 @ X0))))) | (! [X4 : a,X5 : state] : (($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5)) & ! [X6 : state,X7 : state] : (($true != ((exec @ X7 @ body @ X6))) | ! [X8 : a] : (($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7)))) | (($true != ((termi @ body @ (sK7 @ X0)))) & ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r))) & ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0)))))) & ($true = ((pHoare166426476thoare @ a @ (insert @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (product_Pair @ (a > state > $o) @ product_prod @ com @ (a > state > $o) @ (^[Y0 : a]: ((^[Y1 : state]: ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ Y1 @ X0) @ r) & (pa @ Y0 @ Y1))))) @ (product_Pair @ com @ (a > state > $o) @ call @ qa)) @ bot_bot @ set @ product_prod @ (a > state > $o) @ product_prod @ com @ (a > state > $o)) @ (^[Y0 : a]: ((^[Y1 : state]: ((X0 = Y1) & (pa @ Y0 @ Y1))))) @ body @ qa))))),
% 3.51/0.98 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X4,sK0 @ X0 @ X1 @ X3 @ X2),skolemize(X4,sK0 @ X0 @ X1 @ X3 @ X2),skolemize(X4,sK0 @ X0 @ X1 @ X3 @ X2),skolemize(X4,sK0 @ X0 @ X1 @ X3 @ X2),skolemize(X4,sK0 @ X0 @ X1 @ X3 @ X2)],[f970])).
% 3.51/0.98 thf(f996,plain,(
% 3.51/0.98 ! [X0 : state] : ((((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X0 @ x) @ r)) != $true) | (! [X1 : a,X2 : state] : (($true = ((termi @ body @ X2))) | (X0 != X2) | (((pa @ X1 @ X2)) != $true)) & ! [X3 : state,X4 : state] : (($true != ((exec @ X4 @ body @ X3))) | ! [X5 : a] : ((X0 != X4) | ($true != ((pa @ X5 @ X4))) | ($true = ((qa @ X5 @ X3)))))))),
% 3.51/0.98 inference(rectify,[],[f936])).
% 3.51/0.98 thf(f1079,plain,(
% 3.51/0.98 ? [X0 : state,X1 : a] : ((x = X0) & ($true = ((pa @ X1 @ X0))) & (((termi @ body @ X0)) != $true)) | ? [X2 : state,X3 : state] : (? [X4 : a] : (($true = ((pa @ X4 @ X2))) & ($true != ((qa @ X4 @ X3))) & (x = X2)) & ($true = ((exec @ X2 @ body @ X3))))),
% 3.51/0.98 inference(rectify,[],[f948])).
% 3.51/0.98 thf(f1080,plain,(
% 3.51/0.98 ((x = sK95) & ($true = ((pa @ sK96 @ sK95))) & ($true != ((termi @ body @ sK95)))) | ((($true = ((pa @ sK99 @ sK97))) & ($true != ((qa @ sK99 @ sK98))) & (x = sK97)) & ($true = ((exec @ sK97 @ body @ sK98))))),
% 3.51/0.98 inference(skolemize,[status(esa),new_symbols(skolem,[sK95,sK96,sK97,sK98,sK99]),skolemize(X0,sK95),skolemize(X1,sK96),skolemize(X2,sK97),skolemize(X3,sK98),skolemize(X4,sK99)],[f1079])).
% 3.51/0.98 thf(f1236,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((exec @ (sK5 @ X0) @ body @ (sK4 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1237,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((exec @ (sK5 @ X0) @ body @ (sK4 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1238,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((exec @ (sK5 @ X0) @ body @ (sK4 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true != ((termi @ body @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1239,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((exec @ (sK5 @ X0) @ body @ (sK4 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1240,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((exec @ (sK5 @ X0) @ body @ (sK4 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1241,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((exec @ (sK5 @ X0) @ body @ (sK4 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true != ((termi @ body @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1242,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true != ((qa @ (sK6 @ X0) @ (sK4 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1243,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true != ((qa @ (sK6 @ X0) @ (sK4 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1244,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true != ((qa @ (sK6 @ X0) @ (sK4 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true != ((termi @ body @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1245,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true != ((qa @ (sK6 @ X0) @ (sK4 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1246,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true != ((qa @ (sK6 @ X0) @ (sK4 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1247,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true != ((qa @ (sK6 @ X0) @ (sK4 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true != ((termi @ body @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1248,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((pa @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1249,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((pa @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1250,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((pa @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true != ((termi @ body @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1251,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((pa @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1252,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((pa @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1253,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((pa @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true != ((termi @ body @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1254,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X0) @ X0) @ r))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1255,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X0) @ X0) @ r))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1256,plain,(
% 3.51/0.98 ( ! [X0 : state,X8 : a,X6 : state,X7 : state] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X0) @ X0) @ r))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | (X0 != X7) | ($true != ((termi @ body @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1257,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X0) @ X0) @ r))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true = ((pa @ (sK8 @ X0) @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1258,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X0) @ X0) @ r))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X0) @ X0) @ r)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1259,plain,(
% 3.51/0.98 ( ! [X0 : state,X4 : a,X5 : state] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X0) @ X0) @ r))) | ($true = ((termi @ body @ X5))) | ($true != ((pa @ X4 @ X5))) | (X0 != X5) | ($true != ((termi @ body @ (sK7 @ X0))))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f971])).
% 3.51/0.98 thf(f1291,plain,(
% 3.51/0.98 ( ! [X3 : state,X0 : state,X4 : state,X5 : a] : ((((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X0 @ x) @ r)) != $true) | ($true != ((exec @ X4 @ body @ X3))) | (X0 != X4) | ($true != ((pa @ X5 @ X4))) | ($true = ((qa @ X5 @ X3)))) )),
% 3.51/0.98 inference(cnf_transformation,[],[f996])).
% 3.51/0.98 thf(f1292,plain,(
% 3.51/0.98 ( ! [X2 : state,X0 : state,X1 : a] : ((((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X0 @ x) @ r)) != $true) | ($true = ((termi @ body @ X2))) | (X0 != X2) | (((pa @ X1 @ X2)) != $true)) )),
% 3.51/0.98 inference(cnf_transformation,[],[f996])).
% 3.51/0.98 thf(f1418,plain,(
% 3.51/0.98 ($true != ((termi @ body @ sK95))) | ($true = ((exec @ sK97 @ body @ sK98)))),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1419,plain,(
% 3.51/0.98 ($true != ((termi @ body @ sK95))) | (x = sK97)),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1420,plain,(
% 3.51/0.98 ($true != ((qa @ sK99 @ sK98))) | ($true != ((termi @ body @ sK95)))),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1421,plain,(
% 3.51/0.98 ($true != ((termi @ body @ sK95))) | ($true = ((pa @ sK99 @ sK97)))),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1422,plain,(
% 3.51/0.98 ($true = ((pa @ sK96 @ sK95))) | ($true = ((exec @ sK97 @ body @ sK98)))),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1423,plain,(
% 3.51/0.98 (x = sK97) | ($true = ((pa @ sK96 @ sK95)))),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1424,plain,(
% 3.51/0.98 ($true != ((qa @ sK99 @ sK98))) | ($true = ((pa @ sK96 @ sK95)))),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1425,plain,(
% 3.51/0.98 ($true = ((pa @ sK96 @ sK95))) | ($true = ((pa @ sK99 @ sK97)))),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1426,plain,(
% 3.51/0.98 ($true = ((exec @ sK97 @ body @ sK98))) | (x = sK95)),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1427,plain,(
% 3.51/0.98 (x = sK95) | (x = sK97)),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1428,plain,(
% 3.51/0.98 (x = sK95) | ($true != ((qa @ sK99 @ sK98)))),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1429,plain,(
% 3.51/0.98 ($true = ((pa @ sK99 @ sK97))) | (x = sK95)),
% 3.51/0.98 inference(cnf_transformation,[],[f1080])).
% 3.51/0.98 thf(f1639,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((termi @ body @ (sK7 @ X5)))) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X5) @ X5) @ r)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1259])).
% 3.51/0.98 thf(f1640,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((pa @ X4 @ X5))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X5) @ X5) @ r))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X5) @ X5) @ r))) | ($true = ((termi @ body @ X5)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1258])).
% 3.51/0.98 thf(f1641,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((pa @ X4 @ X5))) | ($true = ((pa @ (sK8 @ X5) @ (sK7 @ X5)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X5) @ X5) @ r))) | ($true = ((termi @ body @ X5)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1257])).
% 3.51/0.98 thf(f1642,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((termi @ body @ (sK7 @ X7)))) | ($true = ((qa @ X8 @ X6))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X7) @ X7) @ r))) | ($true != ((pa @ X8 @ X7)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1256])).
% 3.51/0.98 thf(f1643,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((exec @ X7 @ body @ X6))) | ($true != ((pa @ X8 @ X7))) | ($true = ((qa @ X8 @ X6))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X7) @ X7) @ r))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X7) @ X7) @ r)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1255])).
% 3.51/0.98 thf(f1644,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | ($true = ((pa @ (sK8 @ X7) @ (sK7 @ X7)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ X7) @ X7) @ r)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1254])).
% 3.51/0.98 thf(f1645,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((termi @ body @ (sK7 @ X5)))) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5))) | ($true = ((pa @ (sK6 @ X5) @ (sK5 @ X5))))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1253])).
% 3.51/0.98 thf(f1646,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((pa @ X4 @ X5))) | ($true = ((pa @ (sK6 @ X5) @ (sK5 @ X5)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X5) @ X5) @ r))) | ($true = ((termi @ body @ X5)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1252])).
% 3.51/0.98 thf(f1647,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5))) | ($true = ((pa @ (sK6 @ X5) @ (sK5 @ X5)))) | ($true = ((pa @ (sK8 @ X5) @ (sK7 @ X5))))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1251])).
% 3.51/0.98 thf(f1648,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((termi @ body @ (sK7 @ X7)))) | ($true != ((pa @ X8 @ X7))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((pa @ (sK6 @ X7) @ (sK5 @ X7)))) | ($true = ((qa @ X8 @ X6)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1250])).
% 3.51/0.98 thf(f1649,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true = ((pa @ (sK6 @ X7) @ (sK5 @ X7)))) | ($true != ((pa @ X8 @ X7))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X7) @ X7) @ r)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1249])).
% 3.51/0.98 thf(f1650,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((exec @ X7 @ body @ X6))) | ($true != ((pa @ X8 @ X7))) | ($true = ((pa @ (sK8 @ X7) @ (sK7 @ X7)))) | ($true = ((qa @ X8 @ X6))) | ($true = ((pa @ (sK6 @ X7) @ (sK5 @ X7))))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1248])).
% 3.51/0.98 thf(f1651,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((termi @ body @ (sK7 @ X5)))) | ($true != ((qa @ (sK6 @ X5) @ (sK4 @ X5)))) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1247])).
% 3.51/0.98 thf(f1652,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((qa @ (sK6 @ X5) @ (sK4 @ X5)))) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X5) @ X5) @ r)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1246])).
% 3.51/0.98 thf(f1653,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((qa @ (sK6 @ X5) @ (sK4 @ X5)))) | ($true = ((pa @ (sK8 @ X5) @ (sK7 @ X5)))) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1245])).
% 3.51/0.98 thf(f1654,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((termi @ body @ (sK7 @ X7)))) | ($true != ((qa @ (sK6 @ X7) @ (sK4 @ X7)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1244])).
% 3.51/0.98 thf(f1655,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((qa @ (sK6 @ X7) @ (sK4 @ X7)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X7) @ X7) @ r))) | ($true = ((qa @ X8 @ X6))) | ($true != ((pa @ X8 @ X7))) | ($true != ((exec @ X7 @ body @ X6)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1243])).
% 3.51/0.98 thf(f1656,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((qa @ (sK6 @ X7) @ (sK4 @ X7)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true != ((pa @ X8 @ X7))) | ($true = ((qa @ X8 @ X6))) | ($true = ((pa @ (sK8 @ X7) @ (sK7 @ X7))))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1242])).
% 3.51/0.98 thf(f1657,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((termi @ body @ (sK7 @ X5)))) | ($true != ((pa @ X4 @ X5))) | ($true = ((termi @ body @ X5))) | ($true = ((exec @ (sK5 @ X5) @ body @ (sK4 @ X5))))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1241])).
% 3.51/0.98 thf(f1658,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((pa @ X4 @ X5))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X5) @ X5) @ r))) | ($true = ((exec @ (sK5 @ X5) @ body @ (sK4 @ X5)))) | ($true = ((termi @ body @ X5)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1240])).
% 3.51/0.98 thf(f1659,plain,(
% 3.51/0.98 ( ! [X4 : a,X5 : state] : (($true != ((pa @ X4 @ X5))) | ($true = ((pa @ (sK8 @ X5) @ (sK7 @ X5)))) | ($true = ((exec @ (sK5 @ X5) @ body @ (sK4 @ X5)))) | ($true = ((termi @ body @ X5)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1239])).
% 3.51/0.98 thf(f1660,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((termi @ body @ (sK7 @ X7)))) | ($true != ((exec @ X7 @ body @ X6))) | ($true != ((pa @ X8 @ X7))) | ($true = ((qa @ X8 @ X6))) | ($true = ((exec @ (sK5 @ X7) @ body @ (sK4 @ X7))))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1238])).
% 3.51/0.98 thf(f1661,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((exec @ X7 @ body @ X6))) | ($true = ((exec @ (sK5 @ X7) @ body @ (sK4 @ X7)))) | ($true = ((qa @ X8 @ X6))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ X7) @ X7) @ r))) | ($true != ((pa @ X8 @ X7)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1237])).
% 3.51/0.98 thf(f1662,plain,(
% 3.51/0.98 ( ! [X8 : a,X6 : state,X7 : state] : (($true != ((exec @ X7 @ body @ X6))) | ($true = ((qa @ X8 @ X6))) | ($true = ((exec @ (sK5 @ X7) @ body @ (sK4 @ X7)))) | ($true != ((pa @ X8 @ X7))) | ($true = ((pa @ (sK8 @ X7) @ (sK7 @ X7))))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1236])).
% 3.51/0.98 thf(f1667,plain,(
% 3.51/0.98 ( ! [X2 : state,X1 : a] : ((((pa @ X1 @ X2)) != $true) | ($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ x) @ r))) | ($true = ((termi @ body @ X2)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1292])).
% 3.51/0.98 thf(f1668,plain,(
% 3.51/0.98 ( ! [X3 : state,X4 : state,X5 : a] : (($true != ((pa @ X5 @ X4))) | ($true = ((qa @ X5 @ X3))) | ($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X4 @ x) @ r))) | ($true != ((exec @ X4 @ body @ X3)))) )),
% 3.51/0.98 inference(equality_resolution,[],[f1291])).
% 3.51/0.98 thf(f1738,definition,(
% 3.51/0.98 spl175_1 <=> (x = sK97)),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_1])],[avatar_definition])).
% 3.51/0.98 thf(f1740,plain,(
% 3.51/0.98 (x = sK97) | ~spl175_1),
% 3.51/0.98 inference(avatar_component_clause,[],[f1738])).
% 3.51/0.98 thf(f1742,definition,(
% 3.51/0.98 spl175_2 <=> ($true = ((pa @ sK96 @ sK95)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_2])],[avatar_definition])).
% 3.51/0.98 thf(f1744,plain,(
% 3.51/0.98 ($true = ((pa @ sK96 @ sK95))) | ~spl175_2),
% 3.51/0.98 inference(avatar_component_clause,[],[f1742])).
% 3.51/0.98 thf(f1745,plain,(
% 3.51/0.98 spl175_1 | spl175_2),
% 3.51/0.98 inference(avatar_split_clause,[],[f1423,f1742,f1738])).
% 3.51/0.98 thf(f1757,definition,(
% 3.51/0.98 spl175_5 <=> ($true = ((qa @ sK99 @ sK98)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_5])],[avatar_definition])).
% 3.51/0.98 thf(f1759,plain,(
% 3.51/0.98 ($true != ((qa @ sK99 @ sK98))) | spl175_5),
% 3.51/0.98 inference(avatar_component_clause,[],[f1757])).
% 3.51/0.98 thf(f1761,definition,(
% 3.51/0.98 spl175_6 <=> (x = sK95)),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_6])],[avatar_definition])).
% 3.51/0.98 thf(f1763,plain,(
% 3.51/0.98 (x = sK95) | ~spl175_6),
% 3.51/0.98 inference(avatar_component_clause,[],[f1761])).
% 3.51/0.98 thf(f1764,plain,(
% 3.51/0.98 ~spl175_5 | spl175_6),
% 3.51/0.98 inference(avatar_split_clause,[],[f1428,f1761,f1757])).
% 3.51/0.98 thf(f1766,definition,(
% 3.51/0.98 spl175_7 <=> ($true = ((termi @ body @ sK95)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_7])],[avatar_definition])).
% 3.51/0.98 thf(f1768,plain,(
% 3.51/0.98 ($true != ((termi @ body @ sK95))) | spl175_7),
% 3.51/0.98 inference(avatar_component_clause,[],[f1766])).
% 3.51/0.98 thf(f1769,plain,(
% 3.51/0.98 spl175_1 | ~spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f1419,f1766,f1738])).
% 3.51/0.98 thf(f1780,plain,(
% 3.51/0.98 ~spl175_7 | ~spl175_5),
% 3.51/0.98 inference(avatar_split_clause,[],[f1420,f1757,f1766])).
% 3.51/0.98 thf(f1782,definition,(
% 3.51/0.98 spl175_10 <=> ($true = ((pa @ sK99 @ sK97)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_10])],[avatar_definition])).
% 3.51/0.98 thf(f1784,plain,(
% 3.51/0.98 ($true = ((pa @ sK99 @ sK97))) | ~spl175_10),
% 3.51/0.98 inference(avatar_component_clause,[],[f1782])).
% 3.51/0.98 thf(f1785,plain,(
% 3.51/0.98 spl175_10 | ~spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f1421,f1766,f1782])).
% 3.51/0.98 thf(f1787,definition,(
% 3.51/0.98 spl175_11 <=> ($true = ((exec @ sK97 @ body @ sK98)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_11])],[avatar_definition])).
% 3.51/0.98 thf(f1789,plain,(
% 3.51/0.98 ($true = ((exec @ sK97 @ body @ sK98))) | ~spl175_11),
% 3.51/0.98 inference(avatar_component_clause,[],[f1787])).
% 3.51/0.98 thf(f1790,plain,(
% 3.51/0.98 spl175_11 | ~spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f1418,f1766,f1787])).
% 3.51/0.98 thf(f1796,plain,(
% 3.51/0.98 spl175_2 | spl175_11),
% 3.51/0.98 inference(avatar_split_clause,[],[f1422,f1787,f1742])).
% 3.51/0.98 thf(f1797,plain,(
% 3.51/0.98 spl175_11 | spl175_6),
% 3.51/0.98 inference(avatar_split_clause,[],[f1426,f1761,f1787])).
% 3.51/0.98 thf(f1803,plain,(
% 3.51/0.98 ~spl175_5 | spl175_2),
% 3.51/0.98 inference(avatar_split_clause,[],[f1424,f1742,f1757])).
% 3.51/0.98 thf(f1809,plain,(
% 3.51/0.98 spl175_10 | spl175_6),
% 3.51/0.98 inference(avatar_split_clause,[],[f1429,f1761,f1782])).
% 3.51/0.98 thf(f1810,plain,(
% 3.51/0.98 spl175_6 | spl175_1),
% 3.51/0.98 inference(avatar_split_clause,[],[f1427,f1738,f1761])).
% 3.51/0.98 thf(f1811,plain,(
% 3.51/0.98 spl175_10 | spl175_2),
% 3.51/0.98 inference(avatar_split_clause,[],[f1425,f1742,f1782])).
% 3.51/0.98 thf(f1843,plain,(
% 3.51/0.98 ( ! [X2 : state,X1 : a] : (($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ sK95) @ r))) | (((pa @ X1 @ X2)) != $true) | ($true = ((termi @ body @ X2)))) ) | ~spl175_6),
% 3.51/0.98 inference(forward_demodulation,[],[f1667,f1763])).
% 3.51/0.98 thf(f1858,plain,(
% 3.51/0.98 ($true = ((termi @ body @ sK95))) | ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ($true != $true) | ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | ~spl175_2),
% 3.51/0.98 inference(superposition,[],[f1647,f1744])).
% 3.51/0.98 thf(f1860,plain,(
% 3.51/0.98 ($true = ((termi @ body @ sK95))) | ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | ~spl175_2),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f1858])).
% 3.51/0.98 thf(f1864,definition,(
% 3.51/0.98 spl175_18 <=> ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_18])],[avatar_definition])).
% 3.51/0.98 thf(f1865,plain,(
% 3.51/0.98 ($true != ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | spl175_18),
% 3.51/0.98 inference(avatar_component_clause,[],[f1864])).
% 3.51/0.98 thf(f1866,plain,(
% 3.51/0.98 ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ~spl175_18),
% 3.51/0.98 inference(avatar_component_clause,[],[f1864])).
% 3.51/0.98 thf(f1868,definition,(
% 3.51/0.98 spl175_19 <=> ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_19])],[avatar_definition])).
% 3.51/0.98 thf(f1870,plain,(
% 3.51/0.98 ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | ~spl175_19),
% 3.51/0.98 inference(avatar_component_clause,[],[f1868])).
% 3.51/0.98 thf(f1889,definition,(
% 3.51/0.98 spl175_21 <=> ($true = ((termi @ body @ (sK7 @ sK95))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_21])],[avatar_definition])).
% 3.51/0.98 thf(f1890,plain,(
% 3.51/0.98 ($true != ((termi @ body @ (sK7 @ sK95)))) | spl175_21),
% 3.51/0.98 inference(avatar_component_clause,[],[f1889])).
% 3.51/0.98 thf(f1891,plain,(
% 3.51/0.98 ($true = ((termi @ body @ (sK7 @ sK95)))) | ~spl175_21),
% 3.51/0.98 inference(avatar_component_clause,[],[f1889])).
% 3.51/0.98 thf(f1897,plain,(
% 3.51/0.98 ($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | (~spl175_2 | spl175_7 | spl175_18)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1653,f1744,f1768,f1865])).
% 3.51/0.98 thf(f1904,definition,(
% 3.51/0.98 spl175_23 <=> ($true = ((qa @ (sK6 @ sK95) @ (sK4 @ sK95))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_23])],[avatar_definition])).
% 3.51/0.98 thf(f1906,plain,(
% 3.51/0.98 ($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | spl175_23),
% 3.51/0.98 inference(avatar_component_clause,[],[f1904])).
% 3.51/0.98 thf(f1907,plain,(
% 3.51/0.98 ~spl175_23 | ~spl175_2 | spl175_7 | spl175_18),
% 3.51/0.98 inference(avatar_split_clause,[],[f1897,f1864,f1766,f1742,f1904])).
% 3.51/0.98 thf(f1909,plain,(
% 3.51/0.98 ($true != $true) | ($true = ((termi @ body @ sK95))) | ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ~spl175_2),
% 3.51/0.98 inference(superposition,[],[f1659,f1744])).
% 3.51/0.98 thf(f1915,definition,(
% 3.51/0.98 spl175_24 <=> ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_24])],[avatar_definition])).
% 3.51/0.98 thf(f1917,plain,(
% 3.51/0.98 ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | ~spl175_24),
% 3.51/0.98 inference(avatar_component_clause,[],[f1915])).
% 3.51/0.98 thf(f1943,plain,(
% 3.51/0.98 ( ! [X3 : state,X4 : state,X5 : a] : (($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X4 @ sK95) @ r))) | ($true != ((pa @ X5 @ X4))) | ($true != ((exec @ X4 @ body @ X3))) | ($true = ((qa @ X5 @ X3)))) ) | ~spl175_6),
% 3.51/0.98 inference(forward_demodulation,[],[f1668,f1763])).
% 3.51/0.98 thf(f1995,plain,(
% 3.51/0.98 (sK97 = sK95) | (~spl175_1 | ~spl175_6)),
% 3.51/0.98 inference(forward_demodulation,[],[f1740,f1763])).
% 3.51/0.98 thf(f1997,definition,(
% 3.51/0.98 spl175_34 <=> (sK97 = sK95)),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_34])],[avatar_definition])).
% 3.51/0.98 thf(f1999,plain,(
% 3.51/0.98 (sK97 = sK95) | ~spl175_34),
% 3.51/0.98 inference(avatar_component_clause,[],[f1997])).
% 3.51/0.98 thf(f2000,plain,(
% 3.51/0.98 spl175_34 | ~spl175_1 | ~spl175_6),
% 3.51/0.98 inference(avatar_split_clause,[],[f1995,f1761,f1738,f1997])).
% 3.51/0.98 thf(f2001,plain,(
% 3.51/0.98 ($true = ((pa @ sK99 @ sK95))) | (~spl175_10 | ~spl175_34)),
% 3.51/0.98 inference(forward_demodulation,[],[f1784,f1999])).
% 3.51/0.98 thf(f2003,definition,(
% 3.51/0.98 spl175_35 <=> ($true = ((pa @ sK99 @ sK95)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_35])],[avatar_definition])).
% 3.51/0.98 thf(f2005,plain,(
% 3.51/0.98 ($true = ((pa @ sK99 @ sK95))) | ~spl175_35),
% 3.51/0.98 inference(avatar_component_clause,[],[f2003])).
% 3.51/0.98 thf(f2006,plain,(
% 3.51/0.98 spl175_35 | ~spl175_10 | ~spl175_34),
% 3.51/0.98 inference(avatar_split_clause,[],[f2001,f1997,f1782,f2003])).
% 3.51/0.98 thf(f2014,definition,(
% 3.51/0.98 spl175_36 <=> ($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_36])],[avatar_definition])).
% 3.51/0.98 thf(f2016,plain,(
% 3.51/0.98 ($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97)))) | ~spl175_36),
% 3.51/0.98 inference(avatar_component_clause,[],[f2014])).
% 3.51/0.98 thf(f2022,definition,(
% 3.51/0.98 spl175_38 <=> ($true = ((pa @ (sK6 @ sK97) @ (sK5 @ sK97))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_38])],[avatar_definition])).
% 3.51/0.98 thf(f2023,plain,(
% 3.51/0.98 ($true != ((pa @ (sK6 @ sK97) @ (sK5 @ sK97)))) | spl175_38),
% 3.51/0.98 inference(avatar_component_clause,[],[f2022])).
% 3.51/0.98 thf(f2024,plain,(
% 3.51/0.98 ($true = ((pa @ (sK6 @ sK97) @ (sK5 @ sK97)))) | ~spl175_38),
% 3.51/0.98 inference(avatar_component_clause,[],[f2022])).
% 3.51/0.98 thf(f2027,definition,(
% 3.51/0.98 spl175_39 <=> ($true = ((exec @ (sK5 @ sK97) @ body @ (sK4 @ sK97))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_39])],[avatar_definition])).
% 3.51/0.98 thf(f2029,plain,(
% 3.51/0.98 ($true = ((exec @ (sK5 @ sK97) @ body @ (sK4 @ sK97)))) | ~spl175_39),
% 3.51/0.98 inference(avatar_component_clause,[],[f2027])).
% 3.51/0.98 thf(f2041,plain,(
% 3.51/0.98 ( ! [X2 : state,X1 : a] : (($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X2 @ sK97) @ r))) | ($true = ((termi @ body @ X2))) | (((pa @ X1 @ X2)) != $true)) ) | ~spl175_1),
% 3.51/0.98 inference(forward_demodulation,[],[f1667,f1740])).
% 3.51/0.98 thf(f2051,definition,(
% 3.51/0.98 spl175_42 <=> ($true = ((termi @ body @ (sK7 @ sK97))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_42])],[avatar_definition])).
% 3.51/0.98 thf(f2053,plain,(
% 3.51/0.98 ($true = ((termi @ body @ (sK7 @ sK97)))) | ~spl175_42),
% 3.51/0.98 inference(avatar_component_clause,[],[f2051])).
% 3.51/0.98 thf(f2066,plain,(
% 3.51/0.98 ( ! [X3 : state,X4 : state,X5 : a] : (($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ X4 @ sK97) @ r))) | ($true = ((qa @ X5 @ X3))) | ($true != ((exec @ X4 @ body @ X3))) | ($true != ((pa @ X5 @ X4)))) ) | ~spl175_1),
% 3.51/0.98 inference(forward_demodulation,[],[f1668,f1740])).
% 3.51/0.98 thf(f2092,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((termi @ body @ sK97))) | ($true != ((pa @ X0 @ sK97))) | ($true != $true) | ($true != ((qa @ (sK6 @ sK97) @ (sK4 @ sK97))))) ) | ~spl175_42),
% 3.51/0.98 inference(superposition,[],[f1651,f2053])).
% 3.51/0.98 thf(f2110,definition,(
% 3.51/0.98 spl175_47 <=> ($true = ((qa @ (sK6 @ sK97) @ (sK4 @ sK97))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_47])],[avatar_definition])).
% 3.51/0.98 thf(f2111,plain,(
% 3.51/0.98 ($true = ((qa @ (sK6 @ sK97) @ (sK4 @ sK97)))) | ~spl175_47),
% 3.51/0.98 inference(avatar_component_clause,[],[f2110])).
% 3.51/0.98 thf(f2112,plain,(
% 3.51/0.98 ($true != ((qa @ (sK6 @ sK97) @ (sK4 @ sK97)))) | spl175_47),
% 3.51/0.98 inference(avatar_component_clause,[],[f2110])).
% 3.51/0.98 thf(f2125,definition,(
% 3.51/0.98 spl175_50 <=> ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK97) @ sK97) @ r)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_50])],[avatar_definition])).
% 3.51/0.98 thf(f2147,definition,(
% 3.51/0.98 spl175_52 <=> ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_52])],[avatar_definition])).
% 3.51/0.98 thf(f2148,plain,(
% 3.51/0.98 ($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r))) | spl175_52),
% 3.51/0.98 inference(avatar_component_clause,[],[f2147])).
% 3.51/0.98 thf(f2149,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r))) | ~spl175_52),
% 3.51/0.98 inference(avatar_component_clause,[],[f2147])).
% 3.51/0.98 thf(f2359,definition,(
% 3.51/0.98 spl175_67 <=> ! [X0 : a] : (($true = ((qa @ X0 @ sK98))) | ($true != ((pa @ X0 @ sK97))))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_67])],[avatar_definition])).
% 3.51/0.98 thf(f2360,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK97))) | ($true = ((qa @ X0 @ sK98)))) ) | ~spl175_67),
% 3.51/0.98 inference(avatar_component_clause,[],[f2359])).
% 3.51/0.98 thf(f2443,plain,(
% 3.51/0.98 ($true = ((termi @ body @ (sK7 @ sK97)))) | (~spl175_1 | ~spl175_36 | ~spl175_52)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f2041,f2016,f2149])).
% 3.51/0.98 thf(f2448,plain,(
% 3.51/0.98 spl175_42 | ~spl175_1 | ~spl175_36 | ~spl175_52),
% 3.51/0.98 inference(avatar_split_clause,[],[f2443,f2147,f2014,f1738,f2051])).
% 3.51/0.98 thf(f2519,plain,(
% 3.51/0.98 ($true != ((pa @ sK99 @ sK97))) | (spl175_5 | ~spl175_67)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f2360,f1759])).
% 3.51/0.98 thf(f2533,plain,(
% 3.51/0.98 $false | (spl175_5 | ~spl175_10 | ~spl175_67)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f2519,f1784])).
% 3.51/0.98 thf(f2534,plain,(
% 3.51/0.98 spl175_5 | ~spl175_10 | ~spl175_67),
% 3.51/0.98 inference(avatar_contradiction_clause,[],[f2533])).
% 3.51/0.98 thf(f2717,plain,(
% 3.51/0.98 ($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK97) @ sK97) @ r))) | (~spl175_1 | ~spl175_38 | ~spl175_39 | spl175_47)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f2066,f2024,f2029,f2112])).
% 3.51/0.98 thf(f2724,plain,(
% 3.51/0.98 ~spl175_50 | ~spl175_1 | ~spl175_38 | ~spl175_39 | spl175_47),
% 3.51/0.98 inference(avatar_split_clause,[],[f2717,f2110,f2027,f2022,f1738,f2125])).
% 3.51/0.98 thf(f2750,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r))) | (spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_47)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1655,f1759,f1784,f1789,f2111])).
% 3.51/0.98 thf(f2752,plain,(
% 3.51/0.98 ($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97)))) | (spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_47)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1656,f1784,f1759,f1789,f2111])).
% 3.51/0.98 thf(f2764,plain,(
% 3.51/0.98 spl175_36 | spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_47),
% 3.51/0.98 inference(avatar_split_clause,[],[f2752,f2110,f1787,f1782,f1757,f2014])).
% 3.51/0.98 thf(f2766,plain,(
% 3.51/0.98 spl175_52 | spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_47),
% 3.51/0.98 inference(avatar_split_clause,[],[f2750,f2110,f1787,f1782,f1757,f2147])).
% 3.51/0.98 thf(f2778,definition,(
% 3.51/0.98 (x != sK95) | (x != sK97) | ($true != ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97))))),
% 3.51/0.98 introduced(theory,[theory_tautology_sat_conflict])).
% 3.51/0.98 thf(f2783,plain,(
% 3.51/0.98 ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | ($true = ((termi @ body @ sK95))) | ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ~spl175_2),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f1909])).
% 3.51/0.98 thf(f2799,plain,(
% 3.51/0.98 ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | (~spl175_2 | spl175_7)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f1860,f1768])).
% 3.51/0.98 thf(f2815,plain,(
% 3.51/0.98 ($true = ((exec @ sK95 @ body @ sK98))) | (~spl175_11 | ~spl175_34)),
% 3.51/0.98 inference(backward_demodulation,[],[f1789,f1999])).
% 3.51/0.98 thf(f2817,plain,(
% 3.51/0.98 ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | (~spl175_34 | ~spl175_38)),
% 3.51/0.98 inference(backward_demodulation,[],[f2024,f1999])).
% 3.51/0.98 thf(f2818,plain,(
% 3.51/0.98 ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | (~spl175_34 | ~spl175_39)),
% 3.51/0.98 inference(backward_demodulation,[],[f2029,f1999])).
% 3.51/0.98 thf(f2834,definition,(
% 3.51/0.98 spl175_87 <=> ($true = ((exec @ sK95 @ body @ sK98)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_87])],[avatar_definition])).
% 3.51/0.98 thf(f2836,plain,(
% 3.51/0.98 ($true = ((exec @ sK95 @ body @ sK98))) | ~spl175_87),
% 3.51/0.98 inference(avatar_component_clause,[],[f2834])).
% 3.51/0.98 thf(f2837,plain,(
% 3.51/0.98 spl175_87 | ~spl175_11 | ~spl175_34),
% 3.51/0.98 inference(avatar_split_clause,[],[f2815,f1997,f1787,f2834])).
% 3.51/0.98 thf(f2861,plain,(
% 3.51/0.98 spl175_24 | ~spl175_34 | ~spl175_39),
% 3.51/0.98 inference(avatar_split_clause,[],[f2818,f2027,f1997,f1915])).
% 3.51/0.98 thf(f2862,plain,(
% 3.51/0.98 spl175_19 | ~spl175_34 | ~spl175_38),
% 3.51/0.98 inference(avatar_split_clause,[],[f2817,f2022,f1997,f1868])).
% 3.51/0.98 thf(f2870,plain,(
% 3.51/0.98 ($true = ((termi @ body @ sK95))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r))) | ($true != $true) | ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ~spl175_2),
% 3.51/0.98 inference(superposition,[],[f1641,f1744])).
% 3.51/0.98 thf(f2888,definition,(
% 3.51/0.98 spl175_92 <=> ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_92])],[avatar_definition])).
% 3.51/0.98 thf(f2896,definition,(
% 3.51/0.98 spl175_93 <=> ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_93])],[avatar_definition])).
% 3.51/0.98 thf(f2897,plain,(
% 3.51/0.98 ($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | spl175_93),
% 3.51/0.98 inference(avatar_component_clause,[],[f2896])).
% 3.51/0.98 thf(f2905,definition,(
% 3.51/0.98 (x != sK95) | (x != sK97) | ($true != ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | ($true = ((exec @ (sK5 @ sK97) @ body @ (sK4 @ sK97))))),
% 3.51/0.98 introduced(theory,[theory_tautology_sat_conflict])).
% 3.51/0.98 thf(f2938,plain,(
% 3.51/0.98 ($true = ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | (~spl175_34 | ~spl175_47)),
% 3.51/0.98 inference(forward_demodulation,[],[f2111,f1999])).
% 3.51/0.98 thf(f2951,plain,(
% 3.51/0.98 spl175_18 | spl175_19 | ~spl175_2 | spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f2799,f1766,f1742,f1868,f1864])).
% 3.51/0.98 thf(f2959,plain,(
% 3.51/0.98 ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | (~spl175_2 | spl175_7)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f2783,f1768])).
% 3.51/0.98 thf(f2978,plain,(
% 3.51/0.98 spl175_23 | ~spl175_34 | ~spl175_47),
% 3.51/0.98 inference(avatar_split_clause,[],[f2938,f2110,f1997,f1904])).
% 3.51/0.98 thf(f2995,plain,(
% 3.51/0.98 spl175_18 | spl175_24 | ~spl175_2 | spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f2959,f1766,f1742,f1915,f1864])).
% 3.51/0.98 thf(f3006,definition,(
% 3.51/0.98 spl175_94 <=> ! [X0 : a] : ($true != ((pa @ X0 @ sK95)))),
% 3.51/0.98 introduced(definition,[new_symbols(definition,[spl175_94])],[avatar_definition])).
% 3.51/0.98 thf(f3007,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK95)))) ) | ~spl175_94),
% 3.51/0.98 inference(avatar_component_clause,[],[f3006])).
% 3.51/0.98 thf(f3110,plain,(
% 3.51/0.98 ($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | (~spl175_34 | spl175_52)),
% 3.51/0.98 inference(forward_demodulation,[],[f2148,f1999])).
% 3.51/0.98 thf(f3111,plain,(
% 3.51/0.98 ~spl175_93 | ~spl175_34 | spl175_52),
% 3.51/0.98 inference(avatar_split_clause,[],[f3110,f2147,f1997,f2896])).
% 3.51/0.98 thf(f3118,plain,(
% 3.51/0.98 ($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | (~spl175_6 | ~spl175_18 | spl175_21)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1843,f1890,f1866])).
% 3.51/0.98 thf(f3140,plain,(
% 3.51/0.98 ~spl175_93 | ~spl175_6 | ~spl175_18 | spl175_21),
% 3.51/0.98 inference(avatar_split_clause,[],[f3118,f1889,f1864,f1761,f2896])).
% 3.51/0.98 thf(f3186,plain,(
% 3.51/0.98 ($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | (~spl175_2 | spl175_7 | spl175_93)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1652,f1744,f1768,f2897])).
% 3.51/0.98 thf(f3189,plain,(
% 3.51/0.98 ~spl175_23 | ~spl175_2 | spl175_7 | spl175_93),
% 3.51/0.98 inference(avatar_split_clause,[],[f3186,f2896,f1766,f1742,f1904])).
% 3.51/0.98 thf(f3193,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((qa @ (sK6 @ sK97) @ (sK4 @ sK97)))) | ($true != ((pa @ X0 @ sK97))) | ($true = ((termi @ body @ sK97)))) ) | ~spl175_42),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f2092])).
% 3.51/0.98 thf(f3215,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((qa @ (sK6 @ sK97) @ (sK4 @ sK97)))) | ($true = ((termi @ body @ sK97))) | ($true != ((pa @ X0 @ sK95)))) ) | (~spl175_34 | ~spl175_42)),
% 3.51/0.98 inference(forward_demodulation,[],[f3193,f1999])).
% 3.51/0.98 thf(f3251,plain,(
% 3.51/0.98 ($true = ((termi @ body @ (sK7 @ sK95)))) | (~spl175_1 | ~spl175_34 | ~spl175_36 | ~spl175_52)),
% 3.51/0.98 inference(forward_demodulation,[],[f2443,f1999])).
% 3.51/0.98 thf(f3263,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK95))) | ($true = ((termi @ body @ sK97))) | ($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95))))) ) | (~spl175_34 | ~spl175_42)),
% 3.51/0.98 inference(forward_demodulation,[],[f3215,f1999])).
% 3.51/0.98 thf(f3289,plain,(
% 3.51/0.98 spl175_21 | ~spl175_1 | ~spl175_34 | ~spl175_36 | ~spl175_52),
% 3.51/0.98 inference(avatar_split_clause,[],[f3251,f2147,f2014,f1997,f1738,f1889])).
% 3.51/0.98 thf(f3303,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK95))) | ($true = ((termi @ body @ sK95))) | ($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95))))) ) | (~spl175_34 | ~spl175_42)),
% 3.51/0.98 inference(forward_demodulation,[],[f3263,f1999])).
% 3.51/0.98 thf(f3320,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK95))) | ($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95))))) ) | (spl175_7 | ~spl175_34 | ~spl175_42)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3303,f1768])).
% 3.51/0.98 thf(f3329,plain,(
% 3.51/0.98 spl175_94 | ~spl175_23 | spl175_7 | ~spl175_34 | ~spl175_42),
% 3.51/0.98 inference(avatar_split_clause,[],[f3320,f2051,f1997,f1766,f1904,f3006])).
% 3.51/0.98 thf(f3341,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != $true) | ($true = ((termi @ body @ sK95))) | ($true != ((pa @ X0 @ sK95))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r)))) ) | ~spl175_21),
% 3.51/0.98 inference(superposition,[],[f1639,f1891])).
% 3.51/0.98 thf(f3343,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK95))) | ($true != $true) | ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | ($true = ((termi @ body @ sK95)))) ) | ~spl175_21),
% 3.51/0.98 inference(superposition,[],[f1645,f1891])).
% 3.51/0.98 thf(f3345,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | ($true != $true) | ($true != ((pa @ X0 @ sK95))) | ($true = ((termi @ body @ sK95)))) ) | ~spl175_21),
% 3.51/0.98 inference(superposition,[],[f1651,f1891])).
% 3.51/0.98 thf(f3347,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((termi @ body @ sK95))) | ($true != $true) | ($true != ((pa @ X0 @ sK95))) | ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95))))) ) | ~spl175_21),
% 3.51/0.98 inference(superposition,[],[f1657,f1891])).
% 3.51/0.98 thf(f3359,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK95))) | ($true = ((termi @ body @ sK95))) | ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95))))) ) | ~spl175_21),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3343])).
% 3.51/0.98 thf(f3360,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | ($true != ((pa @ X0 @ sK95))) | ($true = ((termi @ body @ sK95)))) ) | ~spl175_21),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3345])).
% 3.51/0.98 thf(f3361,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((termi @ body @ sK95))) | ($true != ((pa @ X0 @ sK95))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r)))) ) | ~spl175_21),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3341])).
% 3.51/0.98 thf(f3363,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | ($true != ((pa @ X0 @ sK95))) | ($true = ((termi @ body @ sK95)))) ) | ~spl175_21),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3347])).
% 3.51/0.98 thf(f3370,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | ($true != ((pa @ X0 @ sK95)))) ) | (spl175_7 | ~spl175_21)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3360,f1768])).
% 3.51/0.98 thf(f3371,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK95))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r)))) ) | (spl175_7 | ~spl175_21)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3361,f1768])).
% 3.51/0.98 thf(f3374,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != ((pa @ X0 @ sK95))) | ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95))))) ) | (spl175_7 | ~spl175_21)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3363,f1768])).
% 3.51/0.98 thf(f3375,plain,(
% 3.51/0.98 spl175_94 | ~spl175_23 | spl175_7 | ~spl175_21),
% 3.51/0.98 inference(avatar_split_clause,[],[f3370,f1889,f1766,f1904,f3006])).
% 3.51/0.98 thf(f3376,plain,(
% 3.51/0.98 spl175_92 | spl175_94 | spl175_7 | ~spl175_21),
% 3.51/0.98 inference(avatar_split_clause,[],[f3371,f1889,f1766,f3006,f2888])).
% 3.51/0.98 thf(f3377,plain,(
% 3.51/0.98 spl175_24 | spl175_94 | spl175_7 | ~spl175_21),
% 3.51/0.98 inference(avatar_split_clause,[],[f3374,f1889,f1766,f3006,f1915])).
% 3.51/0.98 thf(f3417,plain,(
% 3.51/0.98 ($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | (~spl175_34 | spl175_47)),
% 3.51/0.98 inference(forward_demodulation,[],[f2112,f1999])).
% 3.51/0.98 thf(f3420,plain,(
% 3.51/0.98 ($true != ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | (~spl175_34 | spl175_38)),
% 3.51/0.98 inference(forward_demodulation,[],[f2023,f1999])).
% 3.51/0.98 thf(f3427,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | ($true != ((pa @ X0 @ sK95)))) ) | (spl175_7 | ~spl175_21)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3359,f1768])).
% 3.51/0.98 thf(f3441,plain,(
% 3.51/0.98 ~spl175_23 | ~spl175_34 | spl175_47),
% 3.51/0.98 inference(avatar_split_clause,[],[f3417,f2110,f1997,f1904])).
% 3.51/0.98 thf(f3443,plain,(
% 3.51/0.98 ~spl175_19 | ~spl175_34 | spl175_38),
% 3.51/0.98 inference(avatar_split_clause,[],[f3420,f2022,f1997,f1868])).
% 3.51/0.98 thf(f3446,plain,(
% 3.51/0.98 spl175_94 | spl175_19 | spl175_7 | ~spl175_21),
% 3.51/0.98 inference(avatar_split_clause,[],[f3427,f1889,f1766,f1868,f3006])).
% 3.51/0.98 thf(f3524,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r))) | ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ($true = ((termi @ body @ sK95))) | ~spl175_2),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f2870])).
% 3.51/0.98 thf(f3646,plain,(
% 3.51/0.98 ($true = ((termi @ body @ sK95))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | ($true != $true) | ~spl175_2),
% 3.51/0.98 inference(superposition,[],[f1640,f1744])).
% 3.51/0.98 thf(f3648,plain,(
% 3.51/0.98 ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | ($true != $true) | ($true = ((termi @ body @ sK95))) | ~spl175_2),
% 3.51/0.98 inference(superposition,[],[f1646,f1744])).
% 3.51/0.98 thf(f3650,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | ($true = ((termi @ body @ sK95))) | ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | ($true != $true) | ~spl175_2),
% 3.51/0.98 inference(superposition,[],[f1658,f1744])).
% 3.51/0.98 thf(f3655,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | ($true = ((termi @ body @ sK95))) | ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | ~spl175_2),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3650])).
% 3.51/0.98 thf(f3658,plain,(
% 3.51/0.98 ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | ($true = ((termi @ body @ sK95))) | ~spl175_2),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3648])).
% 3.51/0.98 thf(f3659,plain,(
% 3.51/0.98 ($true = ((termi @ body @ sK95))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | ~spl175_2),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3646])).
% 3.51/0.98 thf(f3660,plain,(
% 3.51/0.98 ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | (~spl175_2 | spl175_7)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3655,f1768])).
% 3.51/0.98 thf(f3662,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | ($true = ((pa @ (sK6 @ sK95) @ (sK5 @ sK95)))) | (~spl175_2 | spl175_7)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3658,f1768])).
% 3.51/0.98 thf(f3663,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK95) @ sK95) @ r))) | (~spl175_2 | spl175_7)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3659,f1768])).
% 3.51/0.98 thf(f3664,plain,(
% 3.51/0.98 spl175_93 | spl175_24 | ~spl175_2 | spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f3660,f1766,f1742,f1915,f2896])).
% 3.51/0.98 thf(f3666,plain,(
% 3.51/0.98 spl175_19 | spl175_93 | ~spl175_2 | spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f3662,f1766,f1742,f2896,f1868])).
% 3.51/0.98 thf(f3667,plain,(
% 3.51/0.98 spl175_93 | spl175_92 | ~spl175_2 | spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f3663,f1766,f1742,f2888,f2896])).
% 3.51/0.98 thf(f3691,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r))) | ($true != ((pa @ X0 @ sK97))) | ($true = ((qa @ X0 @ sK98))) | ($true != $true) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK97) @ sK97) @ r)))) ) | ~spl175_11),
% 3.51/0.98 inference(superposition,[],[f1643,f1789])).
% 3.51/0.98 thf(f3692,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != $true) | ($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97)))) | ($true != ((pa @ X0 @ sK97))) | ($true = ((qa @ X0 @ sK98))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK97) @ sK97) @ r)))) ) | ~spl175_11),
% 3.51/0.98 inference(superposition,[],[f1644,f1789])).
% 3.51/0.98 thf(f3693,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != $true) | ($true != ((pa @ X0 @ sK97))) | ($true = ((qa @ X0 @ sK98))) | ($true = ((pa @ (sK6 @ sK97) @ (sK5 @ sK97)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r)))) ) | ~spl175_11),
% 3.51/0.98 inference(superposition,[],[f1649,f1789])).
% 3.51/0.98 thf(f3694,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true != $true) | ($true = ((pa @ (sK6 @ sK97) @ (sK5 @ sK97)))) | ($true != ((pa @ X0 @ sK97))) | ($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97)))) | ($true = ((qa @ X0 @ sK98)))) ) | ~spl175_11),
% 3.51/0.98 inference(superposition,[],[f1650,f1789])).
% 3.51/0.98 thf(f3695,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r))) | ($true != $true) | ($true = ((qa @ X0 @ sK98))) | ($true != ((pa @ X0 @ sK97))) | ($true = ((exec @ (sK5 @ sK97) @ body @ (sK4 @ sK97))))) ) | ~spl175_11),
% 3.51/0.98 inference(superposition,[],[f1661,f1789])).
% 3.51/0.98 thf(f3696,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97)))) | ($true != ((pa @ X0 @ sK97))) | ($true != $true) | ($true = ((exec @ (sK5 @ sK97) @ body @ (sK4 @ sK97)))) | ($true = ((qa @ X0 @ sK98)))) ) | ~spl175_11),
% 3.51/0.98 inference(superposition,[],[f1662,f1789])).
% 3.51/0.98 thf(f3698,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((exec @ (sK5 @ sK97) @ body @ (sK4 @ sK97)))) | ($true = ((qa @ X0 @ sK98))) | ($true != ((pa @ X0 @ sK97))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r)))) ) | ~spl175_11),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3695])).
% 3.51/0.98 thf(f3699,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((qa @ X0 @ sK98))) | ($true != ((pa @ X0 @ sK97))) | ($true = ((exec @ (sK5 @ sK97) @ body @ (sK4 @ sK97)))) | ($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97))))) ) | ~spl175_11),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3696])).
% 3.51/0.98 thf(f3701,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((pa @ (sK6 @ sK97) @ (sK5 @ sK97)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r))) | ($true = ((qa @ X0 @ sK98))) | ($true != ((pa @ X0 @ sK97)))) ) | ~spl175_11),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3693])).
% 3.51/0.98 thf(f3703,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK97) @ sK97) @ r))) | ($true = ((qa @ X0 @ sK98))) | ($true != ((pa @ X0 @ sK97))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK7 @ sK97) @ sK97) @ r)))) ) | ~spl175_11),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3691])).
% 3.51/0.98 thf(f3704,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK97) @ sK97) @ r))) | ($true = ((qa @ X0 @ sK98))) | ($true != ((pa @ X0 @ sK97)))) ) | ~spl175_11),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3692])).
% 3.51/0.98 thf(f3705,plain,(
% 3.51/0.98 ( ! [X0 : a] : (($true = ((pa @ (sK8 @ sK97) @ (sK7 @ sK97)))) | ($true = ((qa @ X0 @ sK98))) | ($true = ((pa @ (sK6 @ sK97) @ (sK5 @ sK97)))) | ($true != ((pa @ X0 @ sK97)))) ) | ~spl175_11),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3694])).
% 3.51/0.98 thf(f3706,plain,(
% 3.51/0.98 spl175_67 | spl175_52 | spl175_39 | ~spl175_11),
% 3.51/0.98 inference(avatar_split_clause,[],[f3698,f1787,f2027,f2147,f2359])).
% 3.51/0.98 thf(f3707,plain,(
% 3.51/0.98 spl175_67 | spl175_39 | spl175_36 | ~spl175_11),
% 3.51/0.98 inference(avatar_split_clause,[],[f3699,f1787,f2014,f2027,f2359])).
% 3.51/0.98 thf(f3708,plain,(
% 3.51/0.98 spl175_67 | spl175_38 | spl175_52 | ~spl175_11),
% 3.51/0.98 inference(avatar_split_clause,[],[f3701,f1787,f2147,f2022,f2359])).
% 3.51/0.98 thf(f3709,plain,(
% 3.51/0.98 spl175_50 | spl175_52 | spl175_67 | ~spl175_11),
% 3.51/0.98 inference(avatar_split_clause,[],[f3703,f1787,f2359,f2147,f2125])).
% 3.51/0.98 thf(f3710,plain,(
% 3.51/0.98 spl175_67 | spl175_36 | spl175_50 | ~spl175_11),
% 3.51/0.98 inference(avatar_split_clause,[],[f3704,f1787,f2125,f2014,f2359])).
% 3.51/0.98 thf(f3711,plain,(
% 3.51/0.98 spl175_36 | spl175_67 | spl175_38 | ~spl175_11),
% 3.51/0.98 inference(avatar_split_clause,[],[f3705,f1787,f2022,f2359,f2014])).
% 3.51/0.98 thf(f3733,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r))) | (spl175_5 | ~spl175_21 | ~spl175_35 | ~spl175_87)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1642,f2005,f1891,f2836,f1759])).
% 3.51/0.98 thf(f3735,plain,(
% 3.51/0.98 ($true != ((qa @ (sK6 @ sK95) @ (sK4 @ sK95)))) | (spl175_5 | ~spl175_21 | ~spl175_35 | ~spl175_87)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1654,f2005,f1891,f2836,f1759])).
% 3.51/0.98 thf(f3736,plain,(
% 3.51/0.98 ($true = ((exec @ (sK5 @ sK95) @ body @ (sK4 @ sK95)))) | (spl175_5 | ~spl175_21 | ~spl175_35 | ~spl175_87)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1660,f2005,f1891,f2836,f1759])).
% 3.51/0.98 thf(f3750,plain,(
% 3.51/0.98 ~spl175_23 | spl175_5 | ~spl175_21 | ~spl175_35 | ~spl175_87),
% 3.51/0.98 inference(avatar_split_clause,[],[f3735,f2834,f2003,f1889,f1757,f1904])).
% 3.51/0.98 thf(f3751,plain,(
% 3.51/0.98 spl175_24 | spl175_5 | ~spl175_21 | ~spl175_35 | ~spl175_87),
% 3.51/0.98 inference(avatar_split_clause,[],[f3736,f2834,f2003,f1889,f1757,f1915])).
% 3.51/0.98 thf(f3752,plain,(
% 3.51/0.98 spl175_92 | spl175_5 | ~spl175_21 | ~spl175_35 | ~spl175_87),
% 3.51/0.98 inference(avatar_split_clause,[],[f3733,f2834,f2003,f1889,f1757,f2888])).
% 3.51/0.98 thf(f3879,plain,(
% 3.51/0.98 ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK97) @ sK97) @ r))) | (spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1642,f1784,f1759,f1789,f2053])).
% 3.51/0.98 thf(f3881,plain,(
% 3.51/0.98 ($true = ((pa @ (sK6 @ sK97) @ (sK5 @ sK97)))) | (spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1648,f1759,f1784,f1789,f2053])).
% 3.51/0.98 thf(f3883,plain,(
% 3.51/0.98 ($true != ((qa @ (sK6 @ sK97) @ (sK4 @ sK97)))) | (spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1654,f1784,f1759,f1789,f2053])).
% 3.51/0.98 thf(f3885,plain,(
% 3.51/0.98 ($true = ((exec @ (sK5 @ sK97) @ body @ (sK4 @ sK97)))) | (spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1660,f1784,f1759,f1789,f2053])).
% 3.51/0.98 thf(f3915,plain,(
% 3.51/0.98 ~spl175_47 | spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42),
% 3.51/0.98 inference(avatar_split_clause,[],[f3883,f2051,f1787,f1782,f1757,f2110])).
% 3.51/0.98 thf(f3919,plain,(
% 3.51/0.98 spl175_50 | spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42),
% 3.51/0.98 inference(avatar_split_clause,[],[f3879,f2051,f1787,f1782,f1757,f2125])).
% 3.51/0.98 thf(f3948,plain,(
% 3.51/0.98 ($true != $true) | (~spl175_2 | ~spl175_94)),
% 3.51/0.98 inference(superposition,[],[f3007,f1744])).
% 3.51/0.98 thf(f3952,plain,(
% 3.51/0.98 $false | (~spl175_2 | ~spl175_94)),
% 3.51/0.98 inference(trivial_inequality_removal,[],[f3948])).
% 3.51/0.98 thf(f3953,plain,(
% 3.51/0.98 ~spl175_2 | ~spl175_94),
% 3.51/0.98 inference(avatar_contradiction_clause,[],[f3952])).
% 3.51/0.98 thf(f4562,plain,(
% 3.51/0.98 ($true != ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r))) | (~spl175_6 | ~spl175_19 | spl175_23 | ~spl175_24)),
% 3.51/0.98 inference(unit_resulting_resolution,[],[f1943,f1906,f1870,f1917])).
% 3.51/0.98 thf(f4588,plain,(
% 3.51/0.98 ~spl175_92 | ~spl175_6 | ~spl175_19 | spl175_23 | ~spl175_24),
% 3.51/0.98 inference(avatar_split_clause,[],[f4562,f1915,f1904,f1868,f1761,f2888])).
% 3.51/0.98 thf(f4630,plain,(
% 3.51/0.98 spl175_39 | spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42),
% 3.51/0.98 inference(avatar_split_clause,[],[f3885,f2051,f1787,f1782,f1757,f2027])).
% 3.51/0.98 thf(f4648,plain,(
% 3.51/0.98 ($true = ((pa @ (sK8 @ sK95) @ (sK7 @ sK95)))) | ($true = ((member @ product_prod @ state @ state @ (product_Pair @ state @ state @ (sK5 @ sK95) @ sK95) @ r))) | (~spl175_2 | spl175_7)),
% 3.51/0.98 inference(forward_subsumption_resolution,[],[f3524,f1768])).
% 3.51/0.98 thf(f4667,plain,(
% 3.51/0.98 spl175_92 | spl175_18 | ~spl175_2 | spl175_7),
% 3.51/0.98 inference(avatar_split_clause,[],[f4648,f1766,f1742,f1864,f2888])).
% 3.51/0.98 thf(f4698,plain,(
% 3.51/0.98 spl175_38 | spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42),
% 3.51/0.98 inference(avatar_split_clause,[],[f3881,f2051,f1787,f1782,f1757,f2022])).
% 3.51/0.98 cnf(s1, plain, spl175_1 | spl175_2, inference(sat_conversion,[],[f1745])).
% 3.51/0.98 cnf(s4, plain, ~spl175_5 | spl175_6, inference(sat_conversion,[],[f1764])).
% 3.51/0.98 cnf(s5, plain, spl175_1 | ~spl175_7, inference(sat_conversion,[],[f1769])).
% 3.51/0.98 cnf(s8, plain, ~spl175_5 | ~spl175_7, inference(sat_conversion,[],[f1780])).
% 3.51/0.98 cnf(s9, plain, ~spl175_7 | spl175_10, inference(sat_conversion,[],[f1785])).
% 3.51/0.98 cnf(s10, plain, ~spl175_7 | spl175_11, inference(sat_conversion,[],[f1790])).
% 3.51/0.98 cnf(s12, plain, spl175_2 | spl175_11, inference(sat_conversion,[],[f1796])).
% 3.51/0.98 cnf(s13, plain, spl175_6 | spl175_11, inference(sat_conversion,[],[f1797])).
% 3.51/0.98 cnf(s15, plain, spl175_2 | ~spl175_5, inference(sat_conversion,[],[f1803])).
% 3.51/0.98 cnf(s17, plain, spl175_6 | spl175_10, inference(sat_conversion,[],[f1809])).
% 3.51/0.98 cnf(s18, plain, spl175_1 | spl175_6, inference(sat_conversion,[],[f1810])).
% 3.51/0.98 cnf(s19, plain, spl175_2 | spl175_10, inference(sat_conversion,[],[f1811])).
% 3.51/0.98 cnf(s26, plain, ~spl175_2 | spl175_7 | spl175_18 | ~spl175_23, inference(sat_conversion,[],[f1907])).
% 3.51/0.98 cnf(s39, plain, ~spl175_1 | ~spl175_6 | spl175_34, inference(sat_conversion,[],[f2000])).
% 3.51/0.98 cnf(s40, plain, ~spl175_10 | ~spl175_34 | spl175_35, inference(sat_conversion,[],[f2006])).
% 3.51/0.98 cnf(s80, plain, ~spl175_1 | ~spl175_36 | spl175_42 | ~spl175_52, inference(sat_conversion,[],[f2448])).
% 3.51/0.98 cnf(s98, plain, spl175_5 | ~spl175_10 | ~spl175_67, inference(sat_conversion,[],[f2534])).
% 3.51/0.98 cnf(s120, plain, ~spl175_1 | ~spl175_38 | ~spl175_39 | spl175_47 | ~spl175_50, inference(sat_conversion,[],[f2724])).
% 3.51/0.98 cnf(s121, plain, spl175_5 | ~spl175_10 | ~spl175_11 | spl175_36 | ~spl175_47, inference(sat_conversion,[],[f2764])).
% 3.51/0.98 cnf(s122, plain, spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_47 | spl175_52, inference(sat_conversion,[],[f2766])).
% 3.51/0.98 cnf(s133, plain, ~spl175_1 | ~spl175_6 | ~spl175_18 | spl175_36, inference(sat_conversion,[],[f2778])).
% 3.51/0.98 cnf(s155, plain, ~spl175_11 | ~spl175_34 | spl175_87, inference(sat_conversion,[],[f2837])).
% 3.51/0.98 cnf(s163, plain, spl175_24 | ~spl175_34 | ~spl175_39, inference(sat_conversion,[],[f2861])).
% 3.51/0.98 cnf(s164, plain, spl175_19 | ~spl175_34 | ~spl175_38, inference(sat_conversion,[],[f2862])).
% 3.51/0.98 cnf(s176, plain, ~spl175_1 | ~spl175_6 | ~spl175_24 | spl175_39, inference(sat_conversion,[],[f2905])).
% 3.51/0.98 cnf(s181, plain, ~spl175_2 | spl175_7 | spl175_18 | spl175_19, inference(sat_conversion,[],[f2951])).
% 3.51/0.98 cnf(s187, plain, spl175_23 | ~spl175_34 | ~spl175_47, inference(sat_conversion,[],[f2978])).
% 3.51/0.98 cnf(s196, plain, ~spl175_2 | spl175_7 | spl175_18 | spl175_24, inference(sat_conversion,[],[f2995])).
% 3.51/0.98 cnf(s228, plain, ~spl175_34 | spl175_52 | ~spl175_93, inference(sat_conversion,[],[f3111])).
% 3.51/0.98 cnf(s229, plain, ~spl175_6 | ~spl175_18 | spl175_21 | ~spl175_93, inference(sat_conversion,[],[f3140])).
% 3.51/0.98 cnf(s246, plain, ~spl175_2 | spl175_7 | ~spl175_23 | spl175_93, inference(sat_conversion,[],[f3189])).
% 3.51/0.98 cnf(s272, plain, ~spl175_1 | spl175_21 | ~spl175_34 | ~spl175_36 | ~spl175_52, inference(sat_conversion,[],[f3289])).
% 3.51/0.98 cnf(s288, plain, spl175_7 | ~spl175_23 | ~spl175_34 | ~spl175_42 | spl175_94, inference(sat_conversion,[],[f3329])).
% 3.51/0.98 cnf(s299, plain, spl175_7 | ~spl175_21 | ~spl175_23 | spl175_94, inference(sat_conversion,[],[f3375])).
% 3.51/0.98 cnf(s300, plain, spl175_7 | ~spl175_21 | spl175_92 | spl175_94, inference(sat_conversion,[],[f3376])).
% 3.51/0.98 cnf(s301, plain, spl175_7 | ~spl175_21 | spl175_24 | spl175_94, inference(sat_conversion,[],[f3377])).
% 3.51/0.98 cnf(s307, plain, ~spl175_23 | ~spl175_34 | spl175_47, inference(sat_conversion,[],[f3441])).
% 3.51/0.98 cnf(s308, plain, ~spl175_19 | ~spl175_34 | spl175_38, inference(sat_conversion,[],[f3443])).
% 3.51/0.98 cnf(s310, plain, spl175_7 | spl175_19 | ~spl175_21 | spl175_94, inference(sat_conversion,[],[f3446])).
% 3.51/0.98 cnf(s423, plain, ~spl175_2 | spl175_7 | spl175_24 | spl175_93, inference(sat_conversion,[],[f3664])).
% 3.51/0.98 cnf(s425, plain, ~spl175_2 | spl175_7 | spl175_19 | spl175_93, inference(sat_conversion,[],[f3666])).
% 3.51/0.98 cnf(s426, plain, ~spl175_2 | spl175_7 | spl175_92 | spl175_93, inference(sat_conversion,[],[f3667])).
% 3.51/0.98 cnf(s434, plain, ~spl175_11 | spl175_39 | spl175_52 | spl175_67, inference(sat_conversion,[],[f3706])).
% 3.51/0.98 cnf(s435, plain, ~spl175_11 | spl175_36 | spl175_39 | spl175_67, inference(sat_conversion,[],[f3707])).
% 3.51/0.98 cnf(s436, plain, ~spl175_11 | spl175_38 | spl175_52 | spl175_67, inference(sat_conversion,[],[f3708])).
% 3.51/0.98 cnf(s439, plain, ~spl175_11 | spl175_50 | spl175_52 | spl175_67, inference(sat_conversion,[],[f3709])).
% 3.51/0.98 cnf(s440, plain, ~spl175_11 | spl175_36 | spl175_50 | spl175_67, inference(sat_conversion,[],[f3710])).
% 3.51/0.98 cnf(s441, plain, ~spl175_11 | spl175_36 | spl175_38 | spl175_67, inference(sat_conversion,[],[f3711])).
% 3.51/0.98 cnf(s450, plain, spl175_5 | ~spl175_21 | ~spl175_23 | ~spl175_35 | ~spl175_87, inference(sat_conversion,[],[f3750])).
% 3.51/0.98 cnf(s451, plain, spl175_5 | ~spl175_21 | spl175_24 | ~spl175_35 | ~spl175_87, inference(sat_conversion,[],[f3751])).
% 3.51/0.98 cnf(s452, plain, spl175_5 | ~spl175_21 | ~spl175_35 | ~spl175_87 | spl175_92, inference(sat_conversion,[],[f3752])).
% 3.51/0.98 cnf(s479, plain, spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42 | ~spl175_47, inference(sat_conversion,[],[f3915])).
% 3.51/0.98 cnf(s482, plain, spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_42 | spl175_50, inference(sat_conversion,[],[f3919])).
% 3.51/0.98 cnf(s493, plain, ~spl175_2 | ~spl175_94, inference(sat_conversion,[],[f3953])).
% 3.51/0.98 cnf(s553, plain, ~spl175_6 | ~spl175_19 | spl175_23 | ~spl175_24 | ~spl175_92, inference(sat_conversion,[],[f4588])).
% 3.51/0.98 cnf(s567, plain, spl175_5 | ~spl175_10 | ~spl175_11 | spl175_39 | ~spl175_42, inference(sat_conversion,[],[f4630])).
% 3.51/0.98 cnf(s598, plain, ~spl175_2 | spl175_7 | spl175_18 | spl175_92, inference(sat_conversion,[],[f4667])).
% 3.51/0.98 cnf(s614, plain, spl175_5 | ~spl175_10 | ~spl175_11 | spl175_38 | ~spl175_42, inference(sat_conversion,[],[f4698])).
% 3.51/0.98 cnf(s640, plain, spl175_18 | spl175_1, inference(rat,[],[s553,s598,s26,s181,s196,s18,s5,s1])).
% 3.51/0.98 cnf(s641, plain, spl175_92 | spl175_1, inference(rat,[],[s229,s426,s300,s18,s5,s493,s1,s640])).
% 3.51/0.98 cnf(s642, plain, spl175_24 | spl175_1, inference(rat,[],[s229,s423,s301,s18,s5,s493,s1,s640])).
% 3.51/0.98 cnf(s643, plain, ~spl175_23 | spl175_1, inference(rat,[],[s229,s299,s246,s18,s5,s493,s1,s640])).
% 3.51/0.98 cnf(s644, plain, spl175_1, inference(rat,[],[s229,s425,s310,s553,s643,s642,s641,s640,s493,s1,s5,s18])).
% 3.51/0.98 cnf(s645, plain, spl175_92 | ~spl175_18 | spl175_7 | ~spl175_6 | ~spl175_2, inference(rat,[],[s229,s426,s300,s493])).
% 3.51/0.98 cnf(s646, plain, spl175_24 | ~spl175_18 | spl175_7 | ~spl175_6 | ~spl175_2, inference(rat,[],[s229,s423,s301,s493])).
% 3.51/0.98 cnf(s647, plain, ~spl175_23 | ~spl175_36 | spl175_7 | ~spl175_34 | ~spl175_2, inference(rat,[],[s228,s80,s246,s288,s493,s644])).
% 3.51/0.98 cnf(s648, plain, ~spl175_18 | spl175_7 | ~spl175_6 | ~spl175_2, inference(rat,[],[s229,s425,s310,s553,s647,s646,s645,s133,s493,s39,s644])).
% 3.51/0.98 cnf(s649, plain, spl175_7 | ~spl175_6 | ~spl175_2, inference(rat,[],[s553,s598,s26,s181,s196,s648])).
% 3.51/0.98 cnf(s650, plain, ~spl175_24 | spl175_23 | ~spl175_19 | ~spl175_36 | ~spl175_35 | spl175_67 | spl175_5 | ~spl175_11 | ~spl175_6, inference(rat,[],[s272,s439,s452,s120,s553,s176,s155,s308,s187,s39,s644])).
% 3.51/0.98 cnf(s651, plain, spl175_24 | ~spl175_36 | ~spl175_35 | spl175_67 | spl175_5 | ~spl175_11 | ~spl175_34, inference(rat,[],[s272,s434,s451,s163,s155,s644])).
% 3.51/0.98 cnf(s652, plain, ~spl175_23 | ~spl175_36 | spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_34, inference(rat,[],[s272,s122,s450,s307,s155,s40,s644])).
% 3.51/0.98 cnf(s653, plain, ~spl175_36 | spl175_5 | ~spl175_10 | ~spl175_11 | ~spl175_6, inference(rat,[],[s80,s436,s614,s164,s650,s652,s651,s98,s40,s39,s644])).
% 3.51/0.98 cnf(s654, plain, ~spl175_6 | ~spl175_2, inference(rat,[],[s120,s440,s441,s435,s121,s653,s98,s8,s9,s10,s649,s644])).
% 3.51/0.98 cnf(s655, plain, ~spl175_42 | ~spl175_10 | spl175_5 | ~spl175_11, inference(rat,[],[s120,s567,s614,s479,s482,s644])).
% 3.51/0.98 cnf(s656, plain, spl175_52 | spl175_6, inference(rat,[],[s120,s436,s434,s122,s439,s13,s98,s17,s4,s644])).
% 3.51/0.98 cnf(s657, plain, spl175_6, inference(rat,[],[s120,s440,s441,s435,s121,s80,s656,s655,s98,s4,s13,s17,s644])).
% 3.51/0.98 cnf(s659, plain, ~spl175_2, inference(rat,[],[s654,s657])).
% 3.51/0.98 cnf(s660, plain, spl175_10, inference(rat,[],[s19,s659])).
% 3.51/0.98 cnf(s661, plain, ~spl175_5, inference(rat,[],[s15,s659])).
% 3.51/0.98 cnf(s662, plain, spl175_11, inference(rat,[],[s12,s659])).
% 3.51/0.98 cnf(s664, plain, ~spl175_67, inference(rat,[],[s98,s661,s660])).
% 3.51/0.98 cnf(s671, plain, ~spl175_36, inference(rat,[],[s653,s657,s662,s660,s661])).
% 3.51/0.98 cnf(s684, plain, ~spl175_47, inference(rat,[],[s121,s660,s662,s661,s671])).
% 3.51/0.98 cnf(s685, plain, spl175_39, inference(rat,[],[s435,s664,s662,s671])).
% 3.51/0.98 cnf(s686, plain, spl175_38, inference(rat,[],[s441,s664,s662,s671])).
% 3.51/0.98 cnf(s687, plain, spl175_50, inference(rat,[],[s440,s664,s662,s671])).
% 3.51/0.98 cnf(s693, plain, $false, inference(rat,[],[s120,s685,s684,s644,s686,s687])).
% 3.51/0.98 thf(f4720,plain,(
% 3.51/0.98 $false),
% 3.51/0.98 inference(avatar_sat_refutation,[],[s693])).
% 3.51/0.98 % SZS output end Proof for theBenchmark
% 3.51/0.98 % (1770209)------------------------------
% 3.51/0.98 % (1770209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.98 % (1770209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.98 % (1770209)CaDiCaL version: 2.1.3
% 3.51/0.98 % (1770209)Termination reason: Refutation
% 3.51/0.98 % (1770209)Time elapsed: 0.309 s
% 3.51/0.98 % (1770209)Peak memory usage: 17 MB
% 3.51/0.98 % (1770209)Instructions burned: 533 (million)
% 3.51/0.98 % (1770122)Success in time 0.677 s
% 3.51/0.98 % Vampire exiting
%------------------------------------------------------------------------------