%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP167^2 : 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 : n015.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 08:08:38 AM UTC 2026
% Result : Theorem 2.46s 0.87s
% Output : Refutation 2.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP167^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.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 20:08:19 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
% 0.23/0.31 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
% 0.86/0.47 % (4052122)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.86/0.47 % (4052130)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=1091169956: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)
% 0.86/0.47 % (4052127)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1288417616:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.86/0.47 % (4052128)lrs+10_16_si=on:nwc=1.5:random_seed=1696524194:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.86/0.47 % (4052129)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3769448987:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.86/0.47 % (4052131)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1818868935:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.86/0.47 % (4052129)Instruction limit reached!
% 0.86/0.47 % (4052129)------------------------------
% 0.86/0.47 % (4052129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (4052129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (4052129)CaDiCaL version: 2.1.3
% 0.86/0.47 % (4052129)Termination reason: Instruction limit
% 0.86/0.47 % (4052129)Termination phase: shuffling
% 0.86/0.47 % (4052129)Time elapsed: 0.003 s
% 0.86/0.47 % (4052129)Peak memory usage: 10 MB
% 0.86/0.47 % (4052129)Instructions burned: 6 (million)
% 0.86/0.47 % (4052128)Instruction limit reached!
% 0.86/0.47 % (4052128)------------------------------
% 0.86/0.47 % (4052128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (4052128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (4052128)CaDiCaL version: 2.1.3
% 0.86/0.47 % (4052128)Termination reason: Instruction limit
% 0.86/0.47 % (4052128)Termination phase: shuffling
% 0.86/0.47 % (4052128)Time elapsed: 0.009 s
% 0.86/0.47 % (4052128)Peak memory usage: 10 MB
% 0.86/0.47 % (4052128)Instructions burned: 19 (million)
% 0.86/0.47 % (4052133)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.86/0.47 % (4052133)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
% 0.86/0.47 % (4052131)Instruction limit reached!
% 0.86/0.47 % (4052131)------------------------------
% 0.86/0.47 % (4052131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (4052131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (4052131)CaDiCaL version: 2.1.3
% 0.86/0.47 % (4052131)Termination reason: Instruction limit
% 0.86/0.47 % (4052131)Termination phase: shuffling
% 0.86/0.47 % (4052131)Time elapsed: 0.011 s
% 0.86/0.47 % (4052131)Peak memory usage: 10 MB
% 0.86/0.47 % (4052131)Instructions burned: 25 (million)
% 0.86/0.47 % (4052132)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=729570426:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.86/0.47 % (4052133)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=539701987:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.86/0.47 % (4052139)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1386949075:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.47 % (4052139)Instruction limit reached!
% 0.86/0.47 % (4052139)------------------------------
% 0.86/0.47 % (4052139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (4052139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (4052139)CaDiCaL version: 2.1.3
% 0.86/0.47 % (4052139)Termination reason: Instruction limit
% 0.86/0.47 % (4052139)Termination phase: shuffling
% 0.86/0.47 % (4052139)Time elapsed: 0.003 s
% 0.86/0.47 % (4052139)Peak memory usage: 10 MB
% 0.86/0.47 % (4052139)Instructions burned: 6 (million)
% 0.86/0.47 % (4052141)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.51 % (4052140)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=795328827:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.51 % (4052141)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3053490624:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.51 % (4052140)Instruction limit reached!
% 0.86/0.51 % (4052140)------------------------------
% 0.86/0.51 % (4052140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.51 % (4052140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.51 % (4052140)CaDiCaL version: 2.1.3
% 0.86/0.51 % (4052140)Termination reason: Instruction limit
% 0.86/0.51 % (4052140)Termination phase: shuffling
% 0.86/0.51 % (4052140)Time elapsed: 0.003 s
% 0.86/0.51 % (4052140)Peak memory usage: 10 MB
% 0.86/0.51 % (4052140)Instructions burned: 6 (million)
% 0.86/0.51 % (4052141)Instruction limit reached!
% 0.86/0.51 % (4052141)------------------------------
% 0.86/0.51 % (4052141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.51 % (4052141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.51 % (4052141)CaDiCaL version: 2.1.3
% 0.86/0.51 % (4052141)Termination reason: Instruction limit
% 0.86/0.51 % (4052141)Termination phase: shuffling
% 0.86/0.51 % (4052141)Time elapsed: 0.004 s
% 0.86/0.51 % (4052141)Peak memory usage: 10 MB
% 0.86/0.51 % (4052141)Instructions burned: 9 (million)
% 0.86/0.51 % (4052127)Instruction limit reached!
% 0.86/0.51 % (4052127)------------------------------
% 0.86/0.51 % (4052127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.51 % (4052127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.51 % (4052127)CaDiCaL version: 2.1.3
% 0.86/0.51 % (4052127)Termination reason: Instruction limit
% 0.86/0.51 % (4052127)Termination phase: Preprocessing 3
% 0.86/0.51 % (4052127)Time elapsed: 0.041 s
% 0.86/0.51 % (4052127)Peak memory usage: 12 MB
% 0.86/0.51 % (4052127)Instructions burned: 88 (million)
% 0.86/0.51 % (4052145)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1242330785:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.51 % (4052148)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
% 0.86/0.51 % (4052148)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.51 % (4052148)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2127649865:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.51 % (4052145)Instruction limit reached!
% 0.86/0.51 % (4052145)------------------------------
% 0.86/0.51 % (4052145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.51 % (4052145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.51 % (4052145)CaDiCaL version: 2.1.3
% 0.86/0.51 % (4052145)Termination reason: Instruction limit
% 0.86/0.51 % (4052145)Termination phase: shuffling
% 0.86/0.51 % (4052145)Time elapsed: 0.006 s
% 0.86/0.51 % (4052145)Peak memory usage: 10 MB
% 0.86/0.51 % (4052145)Instructions burned: 14 (million)
% 0.86/0.51 % (4052149)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=902633384:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.51 % (4052132)Instruction limit reached!
% 0.86/0.51 % (4052132)------------------------------
% 0.86/0.51 % (4052132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.51 % (4052132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.51 % (4052132)CaDiCaL version: 2.1.3
% 0.86/0.51 % (4052132)Termination reason: Instruction limit
% 0.86/0.51 % (4052132)Termination phase: Preprocessing 3
% 0.86/0.51 % (4052132)Time elapsed: 0.038 s
% 0.86/0.51 % (4052132)Peak memory usage: 11 MB
% 0.86/0.51 % (4052132)Instructions burned: 75 (million)
% 0.86/0.51 % (4052150)lrs+10_1_si=on:cs=on:random_seed=3930818903:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.86/0.51 % (4052150)Instruction limit reached!
% 0.86/0.55 % (4052150)------------------------------
% 0.86/0.55 % (4052150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.55 % (4052150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.55 % (4052150)CaDiCaL version: 2.1.3
% 0.86/0.55 % (4052150)Termination reason: Instruction limit
% 0.86/0.55 % (4052150)Termination phase: shuffling
% 0.86/0.55 % (4052150)Time elapsed: 0.004 s
% 0.86/0.55 % (4052150)Peak memory usage: 10 MB
% 0.86/0.55 % (4052150)Instructions burned: 9 (million)
% 0.86/0.55 % (4052148)Instruction limit reached!
% 0.86/0.55 % (4052148)------------------------------
% 0.86/0.55 % (4052148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.55 % (4052148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.55 % (4052148)CaDiCaL version: 2.1.3
% 0.86/0.55 % (4052148)Termination reason: Instruction limit
% 0.86/0.55 % (4052148)Termination phase: shuffling
% 0.86/0.55 % (4052148)Time elapsed: 0.014 s
% 0.86/0.55 % (4052148)Peak memory usage: 10 MB
% 0.86/0.55 % (4052148)Instructions burned: 30 (million)
% 0.86/0.55 % (4052153)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.86/0.55 % (4052153)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=884214848:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.86/0.55 % (4052155)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3117907150:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.86/0.55 % (4052153)Instruction limit reached!
% 0.86/0.55 % (4052153)------------------------------
% 0.86/0.55 % (4052153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.55 % (4052153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.55 % (4052153)CaDiCaL version: 2.1.3
% 0.86/0.55 % (4052153)Termination reason: Instruction limit
% 0.86/0.55 % (4052153)Termination phase: shuffling
% 0.86/0.55 % (4052153)Time elapsed: 0.002 s
% 0.86/0.55 % (4052153)Peak memory usage: 10 MB
% 0.86/0.55 % (4052153)Instructions burned: 3 (million)
% 0.86/0.55 % (4052155)Instruction limit reached!
% 0.86/0.55 % (4052155)------------------------------
% 0.86/0.55 % (4052155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.55 % (4052155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.55 % (4052155)CaDiCaL version: 2.1.3
% 0.86/0.55 % (4052155)Termination reason: Instruction limit
% 0.86/0.55 % (4052155)Termination phase: Property scanning
% 0.86/0.55 % (4052155)Time elapsed: 0.018 s
% 0.86/0.55 % (4052155)Peak memory usage: 10 MB
% 0.86/0.55 % (4052155)Instructions burned: 40 (million)
% 0.86/0.55 % (4052149)Instruction limit reached!
% 0.86/0.55 % (4052149)------------------------------
% 0.86/0.55 % (4052149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.55 % (4052149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.55 % (4052149)CaDiCaL version: 2.1.3
% 0.86/0.55 % (4052149)Termination reason: Instruction limit
% 0.86/0.55 % (4052149)Termination phase: Preprocessing 1
% 0.86/0.55 % (4052149)Time elapsed: 0.038 s
% 0.86/0.55 % (4052149)Peak memory usage: 11 MB
% 0.86/0.55 % (4052149)Instructions burned: 86 (million)
% 0.86/0.55 % (4052161)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3041834526:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.86/0.55 % (4052133)Instruction limit reached!
% 0.86/0.55 % (4052133)------------------------------
% 0.86/0.55 % (4052133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.55 % (4052133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.55 % (4052133)CaDiCaL version: 2.1.3
% 0.86/0.55 % (4052133)Termination reason: Instruction limit
% 0.86/0.55 % (4052133)Termination phase: Saturation
% 0.86/0.55 % (4052133)Time elapsed: 0.079 s
% 0.86/0.55 % (4052133)Peak memory usage: 13 MB
% 0.86/0.55 % (4052133)Instructions burned: 158 (million)
% 0.86/0.55 % (4052157)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3001821605:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.86/0.55 % (4052158)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2626619593:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.68/0.60 % (4052161)Instruction limit reached!
% 1.68/0.60 % (4052161)------------------------------
% 1.68/0.60 % (4052161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.60 % (4052161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.60 % (4052161)CaDiCaL version: 2.1.3
% 1.68/0.60 % (4052161)Termination reason: Instruction limit
% 1.68/0.60 % (4052161)Termination phase: shuffling
% 1.68/0.60 % (4052161)Time elapsed: 0.007 s
% 1.68/0.60 % (4052161)Peak memory usage: 10 MB
% 1.68/0.60 % (4052161)Instructions burned: 16 (million)
% 1.68/0.60 % (4052158)Instruction limit reached!
% 1.68/0.60 % (4052158)------------------------------
% 1.68/0.60 % (4052158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.60 % (4052158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.60 % (4052158)CaDiCaL version: 2.1.3
% 1.68/0.60 % (4052158)Termination reason: Instruction limit
% 1.68/0.60 % (4052158)Termination phase: shuffling
% 1.68/0.60 % (4052158)Time elapsed: 0.011 s
% 1.68/0.60 % (4052158)Peak memory usage: 10 MB
% 1.68/0.60 % (4052158)Instructions burned: 26 (million)
% 1.68/0.60 % (4052163)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2092284045:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.68/0.60 % (4052164)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=844962019:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.68/0.60 % (4052165)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2814157145: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)
% 1.68/0.60 % (4052165)Instruction limit reached!
% 1.68/0.60 % (4052165)------------------------------
% 1.68/0.60 % (4052165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.60 % (4052165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.60 % (4052165)CaDiCaL version: 2.1.3
% 1.68/0.60 % (4052165)Termination reason: Instruction limit
% 1.68/0.60 % (4052165)Termination phase: shuffling
% 1.68/0.60 % (4052165)Time elapsed: 0.003 s
% 1.68/0.60 % (4052165)Peak memory usage: 10 MB
% 1.68/0.60 % (4052165)Instructions burned: 7 (million)
% 1.68/0.60 % (4052168)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=13382636:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.68/0.60 % (4052164)Instruction limit reached!
% 1.68/0.60 % (4052164)------------------------------
% 1.68/0.60 % (4052164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.60 % (4052164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.60 % (4052164)CaDiCaL version: 2.1.3
% 1.68/0.60 % (4052164)Termination reason: Instruction limit
% 1.68/0.60 % (4052164)Termination phase: shuffling
% 1.68/0.60 % (4052164)Time elapsed: 0.007 s
% 1.68/0.60 % (4052164)Peak memory usage: 10 MB
% 1.68/0.60 % (4052164)Instructions burned: 16 (million)
% 1.68/0.60 % (4052170)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=251942751:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.68/0.60 % (4052168)Instruction limit reached!
% 1.68/0.60 % (4052168)------------------------------
% 1.68/0.60 % (4052168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.60 % (4052168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.60 % (4052168)CaDiCaL version: 2.1.3
% 1.68/0.60 % (4052168)Termination reason: Instruction limit
% 1.68/0.60 % (4052168)Termination phase: shuffling
% 1.68/0.60 % (4052168)Time elapsed: 0.012 s
% 1.68/0.60 % (4052168)Peak memory usage: 10 MB
% 1.68/0.60 % (4052168)Instructions burned: 26 (million)
% 1.68/0.60 % (4052175)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
% 1.68/0.60 % (4052175)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.68/0.60 % (4052175)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=3098216448:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.68/0.66 % (4052173)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4198492162:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.68/0.66 % (4052170)Instruction limit reached!
% 1.68/0.66 % (4052170)------------------------------
% 1.68/0.66 % (4052170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (4052170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (4052170)CaDiCaL version: 2.1.3
% 1.68/0.66 % (4052170)Termination reason: Instruction limit
% 1.68/0.66 % (4052170)Termination phase: shuffling
% 1.68/0.66 % (4052170)Time elapsed: 0.011 s
% 1.68/0.66 % (4052170)Peak memory usage: 10 MB
% 1.68/0.66 % (4052170)Instructions burned: 25 (million)
% 1.68/0.66 % (4052175)Instruction limit reached!
% 1.68/0.66 % (4052175)------------------------------
% 1.68/0.66 % (4052175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (4052175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (4052175)CaDiCaL version: 2.1.3
% 1.68/0.66 % (4052175)Termination reason: Instruction limit
% 1.68/0.66 % (4052175)Termination phase: shuffling
% 1.68/0.66 % (4052175)Time elapsed: 0.007 s
% 1.68/0.66 % (4052175)Peak memory usage: 10 MB
% 1.68/0.66 % (4052175)Instructions burned: 14 (million)
% 1.68/0.66 % (4052177)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.68/0.66 % (4052177)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=318136521:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.68/0.66 % (4052130)Instruction limit reached!
% 1.68/0.66 % (4052130)------------------------------
% 1.68/0.66 % (4052130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (4052130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (4052130)CaDiCaL version: 2.1.3
% 1.68/0.66 % (4052130)Termination reason: Instruction limit
% 1.68/0.66 % (4052130)Termination phase: Saturation
% 1.68/0.66 % (4052130)Time elapsed: 0.159 s
% 1.68/0.66 % (4052130)Peak memory usage: 16 MB
% 1.68/0.66 % (4052130)Instructions burned: 637 (million)
% 1.68/0.66 % (4052177)Instruction limit reached!
% 1.68/0.66 % (4052177)------------------------------
% 1.68/0.66 % (4052177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (4052177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (4052177)CaDiCaL version: 2.1.3
% 1.68/0.66 % (4052177)Termination reason: Instruction limit
% 1.68/0.66 % (4052177)Termination phase: shuffling
% 1.68/0.66 % (4052177)Time elapsed: 0.004 s
% 1.68/0.66 % (4052177)Peak memory usage: 10 MB
% 1.68/0.66 % (4052177)Instructions burned: 9 (million)
% 1.68/0.66 % (4052180)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=1769404956:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.68/0.66 % (4052183)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4206438127:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.68/0.66 % (4052183)Instruction limit reached!
% 1.68/0.66 % (4052183)------------------------------
% 1.68/0.66 % (4052183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.66 % (4052183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.66 % (4052183)CaDiCaL version: 2.1.3
% 1.68/0.66 % (4052183)Termination reason: Instruction limit
% 1.68/0.66 % (4052183)Termination phase: shuffling
% 1.68/0.66 % (4052183)Time elapsed: 0.006 s
% 1.68/0.66 % (4052183)Peak memory usage: 10 MB
% 1.68/0.66 % (4052183)Instructions burned: 24 (million)
% 1.68/0.66 % (4052181)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=504758299:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.68/0.66 % (4052184)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2249645339:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.68/0.66 % (4052180)Instruction limit reached!
% 1.68/0.66 % (4052180)------------------------------
% 1.68/0.66 % (4052180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (4052180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (4052180)CaDiCaL version: 2.1.3
% 2.27/0.71 % (4052180)Termination reason: Instruction limit
% 2.27/0.71 % (4052180)Termination phase: shuffling
% 2.27/0.71 % (4052180)Time elapsed: 0.014 s
% 2.27/0.71 % (4052180)Peak memory usage: 10 MB
% 2.27/0.71 % (4052180)Instructions burned: 31 (million)
% 2.27/0.71 % (4052181)Instruction limit reached!
% 2.27/0.71 % (4052181)------------------------------
% 2.27/0.71 % (4052181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (4052181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (4052181)CaDiCaL version: 2.1.3
% 2.27/0.71 % (4052181)Termination reason: Instruction limit
% 2.27/0.71 % (4052181)Termination phase: shuffling
% 2.27/0.71 % (4052181)Time elapsed: 0.004 s
% 2.27/0.71 % (4052181)Peak memory usage: 10 MB
% 2.27/0.71 % (4052181)Instructions burned: 8 (million)
% 2.27/0.71 % (4052173)Instruction limit reached!
% 2.27/0.71 % (4052173)------------------------------
% 2.27/0.71 % (4052173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (4052173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (4052173)CaDiCaL version: 2.1.3
% 2.27/0.71 % (4052173)Termination reason: Instruction limit
% 2.27/0.71 % (4052173)Termination phase: Preprocessing 3
% 2.27/0.71 % (4052173)Time elapsed: 0.037 s
% 2.27/0.71 % (4052173)Peak memory usage: 11 MB
% 2.27/0.71 % (4052173)Instructions burned: 60 (million)
% 2.27/0.71 % (4052187)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1099703533:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.27/0.71 % (4052184)Instruction limit reached!
% 2.27/0.71 % (4052184)------------------------------
% 2.27/0.71 % (4052184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (4052184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (4052184)CaDiCaL version: 2.1.3
% 2.27/0.71 % (4052184)Termination reason: Instruction limit
% 2.27/0.71 % (4052184)Termination phase: shuffling
% 2.27/0.71 % (4052184)Time elapsed: 0.009 s
% 2.27/0.71 % (4052184)Peak memory usage: 10 MB
% 2.27/0.71 % (4052184)Instructions burned: 20 (million)
% 2.27/0.71 % (4052190)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3552733693:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.27/0.71 % (4052191)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2710013924:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.27/0.71 % (4052194)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.27/0.71 % (4052194)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3501242435:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.27/0.71 % (4052194)Instruction limit reached!
% 2.27/0.71 % (4052194)------------------------------
% 2.27/0.71 % (4052194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (4052194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (4052194)CaDiCaL version: 2.1.3
% 2.27/0.71 % (4052194)Termination reason: Instruction limit
% 2.27/0.71 % (4052194)Termination phase: shuffling
% 2.27/0.71 % (4052194)Time elapsed: 0.005 s
% 2.27/0.71 % (4052194)Peak memory usage: 10 MB
% 2.27/0.71 % (4052194)Instructions burned: 9 (million)
% 2.27/0.71 % (4052157)Instruction limit reached!
% 2.27/0.71 % (4052157)------------------------------
% 2.27/0.71 % (4052157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (4052157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (4052157)CaDiCaL version: 2.1.3
% 2.27/0.71 % (4052157)Termination reason: Instruction limit
% 2.27/0.71 % (4052157)Termination phase: Saturation
% 2.27/0.71 % (4052157)Time elapsed: 0.114 s
% 2.27/0.71 % (4052157)Peak memory usage: 14 MB
% 2.27/0.71 % (4052157)Instructions burned: 251 (million)
% 2.27/0.71 % (4052193)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1067622917:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.27/0.71 % (4052198)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1817466819:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.46/0.80 % (4052199)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=2023126781: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)
% 2.46/0.80 % (4052193)Instruction limit reached!
% 2.46/0.80 % (4052193)------------------------------
% 2.46/0.80 % (4052193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (4052193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (4052193)CaDiCaL version: 2.1.3
% 2.46/0.80 % (4052193)Termination reason: Instruction limit
% 2.46/0.80 % (4052193)Termination phase: Property scanning
% 2.46/0.80 % (4052193)Time elapsed: 0.023 s
% 2.46/0.80 % (4052193)Peak memory usage: 10 MB
% 2.46/0.80 % (4052193)Instructions burned: 42 (million)
% 2.46/0.80 % (4052203)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.46/0.80 % (4052203)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=593032705:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.46/0.80 % (4052190)Instruction limit reached!
% 2.46/0.80 % (4052190)------------------------------
% 2.46/0.80 % (4052190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (4052190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (4052190)CaDiCaL version: 2.1.3
% 2.46/0.80 % (4052190)Termination reason: Instruction limit
% 2.46/0.80 % (4052190)Termination phase: Property scanning
% 2.46/0.80 % (4052190)Time elapsed: 0.064 s
% 2.46/0.80 % (4052190)Peak memory usage: 12 MB
% 2.46/0.80 % (4052190)Instructions burned: 144 (million)
% 2.46/0.80 % (4052203)Instruction limit reached!
% 2.46/0.80 % (4052203)------------------------------
% 2.46/0.80 % (4052203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (4052203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (4052203)CaDiCaL version: 2.1.3
% 2.46/0.80 % (4052203)Termination reason: Instruction limit
% 2.46/0.80 % (4052203)Termination phase: shuffling
% 2.46/0.80 % (4052203)Time elapsed: 0.003 s
% 2.46/0.80 % (4052203)Peak memory usage: 10 MB
% 2.46/0.80 % (4052203)Instructions burned: 6 (million)
% 2.46/0.80 % (4052163)Instruction limit reached!
% 2.46/0.80 % (4052163)------------------------------
% 2.46/0.80 % (4052163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (4052163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (4052163)CaDiCaL version: 2.1.3
% 2.46/0.80 % (4052163)Termination reason: Instruction limit
% 2.46/0.80 % (4052163)Termination phase: Saturation
% 2.46/0.80 % (4052163)Time elapsed: 0.150 s
% 2.46/0.80 % (4052163)Peak memory usage: 15 MB
% 2.46/0.80 % (4052163)Instructions burned: 327 (million)
% 2.46/0.80 % (4052205)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3930700201:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.46/0.80 % (4052206)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1632034715:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.46/0.80 % (4052207)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=462057137:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.46/0.80 % (4052191)Instruction limit reached!
% 2.46/0.80 % (4052191)------------------------------
% 2.46/0.80 % (4052191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (4052191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (4052191)CaDiCaL version: 2.1.3
% 2.46/0.80 % (4052191)Termination reason: Instruction limit
% 2.46/0.80 % (4052191)Termination phase: Saturation
% 2.46/0.80 % (4052191)Time elapsed: 0.091 s
% 2.46/0.80 % (4052191)Peak memory usage: 14 MB
% 2.46/0.80 % (4052191)Instructions burned: 195 (million)
% 2.46/0.80 % (4052205)Instruction limit reached!
% 2.46/0.80 % (4052205)------------------------------
% 2.46/0.80 % (4052205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (4052205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052205)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052205)Termination reason: Instruction limit
% 2.46/0.87 % (4052205)Termination phase: shuffling
% 2.46/0.87 % (4052205)Time elapsed: 0.010 s
% 2.46/0.87 % (4052205)Peak memory usage: 10 MB
% 2.46/0.87 % (4052205)Instructions burned: 23 (million)
% 2.46/0.87 % (4052206)Instruction limit reached!
% 2.46/0.87 % (4052206)------------------------------
% 2.46/0.87 % (4052206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052206)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052206)Termination reason: Instruction limit
% 2.46/0.87 % (4052206)Termination phase: shuffling
% 2.46/0.87 % (4052206)Time elapsed: 0.011 s
% 2.46/0.87 % (4052206)Peak memory usage: 10 MB
% 2.46/0.87 % (4052206)Instructions burned: 23 (million)
% 2.46/0.87 % (4052211)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=1550806117: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)
% 2.46/0.87 % (4052212)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=1273680216: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)
% 2.46/0.87 % (4052199)Instruction limit reached!
% 2.46/0.87 % (4052199)------------------------------
% 2.46/0.87 % (4052199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052199)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052199)Termination reason: Instruction limit
% 2.46/0.87 % (4052199)Termination phase: Saturation
% 2.46/0.87 % (4052199)Time elapsed: 0.078 s
% 2.46/0.87 % (4052199)Peak memory usage: 14 MB
% 2.46/0.87 % (4052199)Instructions burned: 170 (million)
% 2.46/0.87 % (4052213)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1165794991:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.46/0.87 % (4052198)Instruction limit reached!
% 2.46/0.87 % (4052198)------------------------------
% 2.46/0.87 % (4052198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052198)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052198)Termination reason: Instruction limit
% 2.46/0.87 % (4052198)Termination phase: Saturation
% 2.46/0.87 % (4052198)Time elapsed: 0.089 s
% 2.46/0.87 % (4052198)Peak memory usage: 15 MB
% 2.46/0.87 % (4052198)Instructions burned: 183 (million)
% 2.46/0.87 % (4052212)Instruction limit reached!
% 2.46/0.87 % (4052212)------------------------------
% 2.46/0.87 % (4052212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052212)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052212)Termination reason: Instruction limit
% 2.46/0.87 % (4052212)Termination phase: shuffling
% 2.46/0.87 % (4052212)Time elapsed: 0.020 s
% 2.46/0.87 % (4052212)Peak memory usage: 11 MB
% 2.46/0.87 % (4052212)Instructions burned: 47 (million)
% 2.46/0.87 % (4052216)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1855814031: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)
% 2.46/0.87 % (4052218)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.46/0.87 % (4052218)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=595617773:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.46/0.87 % (4052216)Instruction limit reached!
% 2.46/0.87 % (4052216)------------------------------
% 2.46/0.87 % (4052216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052216)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052216)Termination reason: Instruction limit
% 2.46/0.87 % (4052216)Termination phase: shuffling
% 2.46/0.87 % (4052216)Time elapsed: 0.009 s
% 2.46/0.87 % (4052216)Peak memory usage: 10 MB
% 2.46/0.87 % (4052216)Instructions burned: 21 (million)
% 2.46/0.87 % (4052220)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2367629764:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.46/0.87 % (4052220)Instruction limit reached!
% 2.46/0.87 % (4052220)------------------------------
% 2.46/0.87 % (4052220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052220)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052220)Termination reason: Instruction limit
% 2.46/0.87 % (4052220)Termination phase: shuffling
% 2.46/0.87 % (4052220)Time elapsed: 0.007 s
% 2.46/0.87 % (4052220)Peak memory usage: 10 MB
% 2.46/0.87 % (4052220)Instructions burned: 15 (million)
% 2.46/0.87 % (4052222)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=3312074592:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.46/0.87 % (4052224)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3457604835:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.46/0.87 % (4052222)Instruction limit reached!
% 2.46/0.87 % (4052222)------------------------------
% 2.46/0.87 % (4052222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052222)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052222)Termination reason: Instruction limit
% 2.46/0.87 % (4052222)Termination phase: Property scanning
% 2.46/0.87 % (4052222)Time elapsed: 0.030 s
% 2.46/0.87 % (4052222)Peak memory usage: 11 MB
% 2.46/0.87 % (4052222)Instructions burned: 66 (million)
% 2.46/0.87 % (4052224)Instruction limit reached!
% 2.46/0.87 % (4052224)------------------------------
% 2.46/0.87 % (4052224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052224)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052224)Termination reason: Instruction limit
% 2.46/0.87 % (4052224)Termination phase: Preprocessing 1
% 2.46/0.87 % (4052224)Time elapsed: 0.023 s
% 2.46/0.87 % (4052224)Peak memory usage: 11 MB
% 2.46/0.87 % (4052224)Instructions burned: 53 (million)
% 2.46/0.87 % (4052227)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2860125773:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.46/0.87 % (4052228)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=648363496:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.46/0.87 % (4052227)Instruction limit reached!
% 2.46/0.87 % (4052227)------------------------------
% 2.46/0.87 % (4052227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052227)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052227)Termination reason: Instruction limit
% 2.46/0.87 % (4052227)Termination phase: shuffling
% 2.46/0.87 % (4052227)Time elapsed: 0.015 s
% 2.46/0.87 % (4052227)Peak memory usage: 10 MB
% 2.46/0.87 % (4052227)Instructions burned: 32 (million)
% 2.46/0.87 % (4052218)Instruction limit reached!
% 2.46/0.87 % (4052218)------------------------------
% 2.46/0.87 % (4052218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052218)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052218)Termination reason: Instruction limit
% 2.46/0.87 % (4052218)Termination phase: Saturation
% 2.46/0.87 % (4052218)Time elapsed: 0.089 s
% 2.46/0.87 % (4052218)Peak memory usage: 14 MB
% 2.46/0.87 % (4052218)Instructions burned: 202 (million)
% 2.46/0.87 % (4052207)Instruction limit reached!
% 2.46/0.87 % (4052207)------------------------------
% 2.46/0.87 % (4052207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052207)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052207)Termination reason: Instruction limit
% 2.46/0.87 % (4052207)Termination phase: Saturation
% 2.46/0.87 % (4052207)Time elapsed: 0.145 s
% 2.46/0.87 % (4052207)Peak memory usage: 17 MB
% 2.46/0.87 % (4052207)Instructions burned: 317 (million)
% 2.46/0.87 % (4052231)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=2244886709:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.46/0.87 % (4052232)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1008516486:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.46/0.87 % (4052233)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.46/0.87 % (4052233)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2459264298:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.46/0.87 % (4052231)Instruction limit reached!
% 2.46/0.87 % (4052231)------------------------------
% 2.46/0.87 % (4052231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052231)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052231)Termination reason: Instruction limit
% 2.46/0.87 % (4052231)Termination phase: shuffling
% 2.46/0.87 % (4052231)Time elapsed: 0.016 s
% 2.46/0.87 % (4052231)Peak memory usage: 10 MB
% 2.46/0.87 % (4052231)Instructions burned: 36 (million)
% 2.46/0.87 % (4052232)Instruction limit reached!
% 2.46/0.87 % (4052232)------------------------------
% 2.46/0.87 % (4052232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052232)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052232)Termination reason: Instruction limit
% 2.46/0.87 % (4052232)Termination phase: Preprocessing 3
% 2.46/0.87 % (4052232)Time elapsed: 0.030 s
% 2.46/0.87 % (4052232)Peak memory usage: 11 MB
% 2.46/0.87 % (4052232)Instructions burned: 67 (million)
% 2.46/0.87 % (4052228)Instruction limit reached!
% 2.46/0.87 % (4052228)------------------------------
% 2.46/0.87 % (4052228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052237)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1910951222:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 2.46/0.87 % (4052228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052228)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052228)Termination reason: Instruction limit
% 2.46/0.87 % (4052228)Termination phase: Saturation
% 2.46/0.87 % (4052228)Time elapsed: 0.062 s
% 2.46/0.87 % (4052228)Peak memory usage: 13 MB
% 2.46/0.87 % (4052228)Instructions burned: 137 (million)
% 2.46/0.87 % (4052211) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4052122-4052211"...
% 2.46/0.87 % (4052211)...printing done.
% 2.46/0.87 % (4052211)Refutation found. Thanks to Tanya!
% 2.46/0.87 % SZS status Theorem for theBenchmark
% 2.46/0.87 % SZS output start Proof for theBenchmark
% 2.46/0.87 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 2.46/0.87 thf(type_def_6, type, char: $tType).
% 2.46/0.87 thf(type_def_7, type, list: $tType > $tType).
% 2.46/0.87 thf(type_def_8, type, bexp: $tType).
% 2.46/0.87 thf(type_def_9, type, aexp: $tType).
% 2.46/0.87 thf(type_def_10, type, set: $tType > $tType).
% 2.46/0.87 thf(type_def_11, type, nat: $tType).
% 2.46/0.87 thf(type_def_12, type, int: $tType).
% 2.46/0.87 thf(type_def_13, type, com: $tType).
% 2.46/0.87 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 2.46/0.87 thf(func_def_0, type, zero: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_1, type, group_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_2, type, monoid_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_3, type, semigroup_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_4, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_5, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_6, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_7, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_8, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_9, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_10, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_11, type, semiri456707255roduct: !>[X0: $tType]:($o)).
% 2.46/0.87 thf(func_def_12, type, aval: (aexp > (list @ char > int) > int)).
% 2.46/0.87 thf(func_def_13, type, bval: (bexp > (list @ char > int) > $o)).
% 2.46/0.87 thf(func_def_14, type, big_big_step: (product_prod @ com @ (list @ char > int) > (list @ char > int) > $o)).
% 2.46/0.87 thf(func_def_15, type, assign: (list @ char > aexp > com)).
% 2.46/0.87 thf(func_def_16, type, if: (bexp > com > com > com)).
% 2.46/0.87 thf(func_def_17, type, skip: com).
% 2.46/0.87 thf(func_def_18, type, seq: (com > com > com)).
% 2.46/0.87 thf(func_def_19, type, while: (bexp > com > com)).
% 2.46/0.87 thf(func_def_20, type, case_com: !>[X0: $tType]:((X0 > (list @ char > aexp > X0) > (com > com > X0) > (bexp > com > com > X0) > (bexp > com > X0) > com > X0))).
% 2.46/0.87 thf(func_def_21, type, rec_com: !>[X0: $tType]:((X0 > (list @ char > aexp > X0) > (com > com > X0 > X0 > X0) > (bexp > com > com > X0 > X0 > X0) > (bexp > com > X0 > X0) > com > X0))).
% 2.46/0.87 thf(func_def_22, type, size_com: (com > nat)).
% 2.46/0.87 thf(func_def_23, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 2.46/0.87 thf(func_def_24, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 2.46/0.87 thf(func_def_25, type, zero_zero: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_26, type, if2: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.46/0.87 thf(func_def_27, type, suc: (nat > nat)).
% 2.46/0.87 thf(func_def_28, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 2.46/0.87 thf(func_def_29, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.46/0.87 thf(func_def_30, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 2.46/0.87 thf(func_def_31, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.46/0.87 thf(func_def_32, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.46/0.87 thf(func_def_33, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.46/0.87 thf(func_def_34, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 2.46/0.87 thf(func_def_35, type, relati332478480decomp: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > $o)).
% 2.46/0.87 thf(func_def_36, type, relati1716060877e_flip: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > $o)).
% 2.46/0.87 thf(func_def_37, type, relati1010904253t_back: !>[X0: $tType]:((((list @ char > int) > X0 > $o) > bexp > com > nat > (list @ char > int) > X0 > $o))).
% 2.46/0.87 thf(func_def_38, type, relati1493963588_hoare: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > $o)).
% 2.46/0.87 thf(func_def_39, type, relati167478067_valid: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > $o)).
% 2.46/0.87 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.46/0.87 thf(func_def_41, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 2.46/0.87 thf(func_def_42, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.46/0.87 thf(func_def_43, type, p: ((list @ char > int) > (list @ char > int) > $o)).
% 2.46/0.87 thf(func_def_44, type, q: ((list @ char > int) > (list @ char > int) > $o)).
% 2.46/0.87 thf(func_def_45, type, c: com).
% 2.46/0.87 thf(func_def_46, type, c2: com).
% 2.46/0.87 thf(func_def_48, type, db0: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.46/0.87 thf(func_def_52, type, vOR: ($o > $o > $o)).
% 2.46/0.87 thf(func_def_53, type, db1: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_54, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.46/0.87 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 2.46/0.87 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.46/0.87 thf(func_def_57, type, vNOT: ($o > $o)).
% 2.46/0.87 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_59, type, db3: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_60, type, db4: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_61, type, db7: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_62, type, db6: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_63, type, db5: !>[X0: $tType]:(X0)).
% 2.46/0.87 thf(func_def_64, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.46/0.87 thf(func_def_65, type, vIMP: ($o > $o > $o)).
% 2.46/0.87 thf(func_def_66, type, sK0: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 2.46/0.87 thf(func_def_67, type, sK1: (com > bexp)).
% 2.46/0.87 thf(func_def_68, type, sK2: (com > com)).
% 2.46/0.87 thf(func_def_69, type, sK3: (com > com)).
% 2.46/0.87 thf(func_def_70, type, sK4: (com > bexp)).
% 2.46/0.87 thf(func_def_71, type, sK5: (com > com)).
% 2.46/0.87 thf(func_def_72, type, sK6: (com > com)).
% 2.46/0.87 thf(func_def_73, type, sK7: (com > com)).
% 2.46/0.87 thf(func_def_74, type, sK8: (com > list @ char)).
% 2.46/0.87 thf(func_def_75, type, sK9: (com > aexp)).
% 2.46/0.87 thf(func_def_76, type, sK10: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_77, type, sK11: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_78, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > $o) > product_prod @ X0 @ X2 > (X0 > X2 > X1) > X0))).
% 2.46/0.87 thf(func_def_79, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > $o) > product_prod @ X0 @ X2 > (X0 > X2 > X1) > X2))).
% 2.46/0.87 thf(func_def_80, type, sK14: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > $o) > set @ X0 > X0))).
% 2.46/0.87 thf(func_def_81, type, sK15: ((nat > (list @ char > int) > (list @ char > int) > $o) > com > bexp > nat)).
% 2.46/0.87 thf(func_def_82, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ X2 > X0 > (X1 > X2 > X0 > $o) > X1))).
% 2.46/0.87 thf(func_def_83, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ X2 > X0 > (X1 > X2 > X0 > $o) > X2))).
% 2.46/0.87 thf(func_def_84, type, sK18: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_85, type, sK19: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_86, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (product_prod @ X2 @ X1 > X0) > X1))).
% 2.46/0.87 thf(func_def_87, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (product_prod @ X2 @ X1 > X0) > X2))).
% 2.46/0.87 thf(func_def_88, type, sK22: (nat > nat)).
% 2.46/0.87 thf(func_def_89, type, sK23: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_90, type, sK24: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_91, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 2.46/0.87 thf(func_def_92, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 2.46/0.87 thf(func_def_93, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 2.46/0.87 thf(func_def_94, type, sK28: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > $o) > X0))).
% 2.46/0.87 thf(func_def_95, type, sK29: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_96, type, sK30: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_97, type, sK31: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_98, type, sK32: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_99, type, sK33: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 2.46/0.87 thf(func_def_100, type, sK34: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 2.46/0.87 thf(func_def_101, type, sK35: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat > X0))).
% 2.46/0.87 thf(func_def_102, type, sK36: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 2.46/0.87 thf(func_def_103, type, sK37: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 2.46/0.87 thf(func_def_104, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1) > (X2 > X0 > X1) > product_prod @ X2 @ X0 > X2))).
% 2.46/0.87 thf(func_def_105, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1) > (X2 > X0 > X1) > product_prod @ X2 @ X0 > X0))).
% 2.46/0.87 thf(func_def_106, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X1))).
% 2.46/0.87 thf(func_def_107, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X2))).
% 2.46/0.87 thf(func_def_108, type, sK42: (aexp > (list @ char > int) > list @ char > com > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > list @ char > int)).
% 2.46/0.87 thf(func_def_109, type, sK43: (aexp > (list @ char > int) > list @ char > com > ((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > int)).
% 2.46/0.87 thf(func_def_110, type, sK44: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.46/0.87 thf(func_def_111, type, sK45: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.46/0.87 thf(func_def_112, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X0))).
% 2.46/0.87 thf(func_def_113, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X2))).
% 2.46/0.87 thf(func_def_114, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X1))).
% 2.46/0.87 thf(func_def_115, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X3))).
% 2.46/0.87 thf(func_def_116, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X2))).
% 2.46/0.87 thf(func_def_117, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X4))).
% 2.46/0.87 thf(func_def_118, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X1))).
% 2.46/0.87 thf(func_def_119, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ X3 > $o) > X0))).
% 2.46/0.87 thf(func_def_120, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X0 @ X2 > X1))).
% 2.46/0.87 thf(func_def_121, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X0 @ X2 > X3))).
% 2.46/0.87 thf(func_def_122, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X0 @ X2 > X0))).
% 2.46/0.87 thf(func_def_123, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X0 @ X2 > X2))).
% 2.46/0.87 thf(func_def_124, type, sK58: (com > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > nat)).
% 2.46/0.87 thf(func_def_125, type, sK59: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_126, type, sK60: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_127, type, sK61: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_128, type, sK62: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_129, type, sK63: ((nat > $o) > nat)).
% 2.46/0.87 thf(func_def_130, type, sK64: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_131, type, sK65: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_132, type, sK66: ((com > $o) > bexp)).
% 2.46/0.87 thf(func_def_133, type, sK67: ((com > $o) > com)).
% 2.46/0.87 thf(func_def_134, type, sK68: ((com > $o) > com)).
% 2.46/0.87 thf(func_def_135, type, sK69: ((com > $o) > com)).
% 2.46/0.87 thf(func_def_136, type, sK70: ((com > $o) > aexp)).
% 2.46/0.87 thf(func_def_137, type, sK71: ((com > $o) > list @ char)).
% 2.46/0.87 thf(func_def_138, type, sK72: ((com > $o) > bexp)).
% 2.46/0.87 thf(func_def_139, type, sK73: ((com > $o) > com)).
% 2.46/0.87 thf(func_def_140, type, sK74: ((com > $o) > com)).
% 2.46/0.87 thf(func_def_141, type, sK75: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_142, type, sK76: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_143, type, sK77: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_144, type, sK78: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_145, type, sK79: (((list @ char > int) > (list @ char > int) > $o) > com > (nat > (list @ char > int) > (list @ char > int) > $o) > com > nat > bexp > list @ char > int)).
% 2.46/0.87 thf(func_def_146, type, sK80: (((list @ char > int) > (list @ char > int) > $o) > com > (nat > (list @ char > int) > (list @ char > int) > $o) > com > nat > bexp > list @ char > int)).
% 2.46/0.87 thf(func_def_147, type, sK81: (com > (nat > (list @ char > int) > (list @ char > int) > $o) > nat > bexp > list @ char > int)).
% 2.46/0.87 thf(func_def_148, type, sK82: (com > (nat > (list @ char > int) > (list @ char > int) > $o) > nat > bexp > nat)).
% 2.46/0.87 thf(func_def_149, type, sK83: (com > (nat > (list @ char > int) > (list @ char > int) > $o) > nat > bexp > list @ char > int)).
% 2.46/0.87 thf(func_def_150, type, sK84: ((list @ char > int) > (list @ char > int) > com > (nat > (list @ char > int) > (list @ char > int) > $o) > com > nat > bexp > list @ char > int)).
% 2.46/0.87 thf(func_def_151, type, sK85: ((list @ char > int) > (list @ char > int) > com > (nat > (list @ char > int) > (list @ char > int) > $o) > com > nat > bexp > list @ char > int)).
% 2.46/0.87 thf(func_def_152, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1 > $o) > X1 > product_prod @ X0 @ X2 > X2))).
% 2.46/0.87 thf(func_def_153, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1 > $o) > X1 > product_prod @ X0 @ X2 > X0))).
% 2.46/0.87 thf(func_def_154, type, sK88: ((list @ char > int) > com > (list @ char > int) > com > list @ char > int)).
% 2.46/0.87 thf(func_def_155, type, sK89: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 2.46/0.87 thf(func_def_156, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X4))).
% 2.46/0.87 thf(func_def_157, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X3))).
% 2.46/0.87 thf(func_def_158, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X2))).
% 2.46/0.87 thf(func_def_159, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X1))).
% 2.46/0.87 thf(func_def_160, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X0))).
% 2.46/0.87 thf(func_def_161, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > X3))).
% 2.46/0.87 thf(func_def_162, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > X5))).
% 2.46/0.87 thf(func_def_163, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > X4))).
% 2.46/0.87 thf(func_def_164, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > X2))).
% 2.46/0.87 thf(func_def_165, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > X0))).
% 2.46/0.87 thf(func_def_166, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > X1))).
% 2.46/0.87 thf(func_def_167, type, sK101: ((list @ char > int) > bexp > (list @ char > int) > com > list @ char > int)).
% 2.46/0.87 thf(func_def_168, type, sK102: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X1))).
% 2.46/0.87 thf(func_def_169, type, sK103: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X0))).
% 2.46/0.87 thf(func_def_170, type, sK104: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_171, type, sK105: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_172, type, sK106: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 2.46/0.87 thf(func_def_173, type, sK107: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.46/0.87 thf(func_def_174, type, sK108: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.46/0.87 thf(func_def_175, type, sK109: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_176, type, sK110: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_177, type, sK111: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_178, type, sK112: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_179, type, sK113: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_180, type, sK114: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_181, type, sK115: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_182, type, sK116: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_183, type, sK117: ((nat > nat > $o) > nat)).
% 2.46/0.87 thf(func_def_184, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X6 > X4))).
% 2.46/0.87 thf(func_def_185, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X6 > X6))).
% 2.46/0.87 thf(func_def_186, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X6 > X3))).
% 2.46/0.87 thf(func_def_187, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X6 > X2))).
% 2.46/0.87 thf(func_def_188, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X6 > X5))).
% 2.46/0.87 thf(func_def_189, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X6 > X0))).
% 2.46/0.87 thf(func_def_190, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ X6 > X1))).
% 2.46/0.87 thf(func_def_191, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X2 > $o) > X3))).
% 2.46/0.87 thf(func_def_192, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X2 > $o) > X1))).
% 2.46/0.87 thf(func_def_193, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X2 > $o) > X2))).
% 2.46/0.87 thf(func_def_194, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X2 > $o) > X4))).
% 2.46/0.87 thf(func_def_195, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X2 > $o) > X0))).
% 2.46/0.87 thf(func_def_196, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X2 > $o) > X5))).
% 2.46/0.87 thf(func_def_197, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X0))).
% 2.46/0.87 thf(func_def_198, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X3))).
% 2.46/0.87 thf(func_def_199, type, sK133: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X1))).
% 2.46/0.87 thf(func_def_200, type, sK134: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X2))).
% 2.46/0.87 thf(func_def_201, type, sK135: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_202, type, sK136: (com > ((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_203, type, sK137: (nat > nat)).
% 2.46/0.87 thf(func_def_204, type, sK138: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 2.46/0.87 thf(func_def_205, type, sK139: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 2.46/0.87 thf(func_def_206, type, sK140: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_207, type, sK141: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_208, type, sK142: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_209, type, sK143: (com > com > list @ char > int)).
% 2.46/0.87 thf(func_def_210, type, sK144: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ X2 > $o) > X0))).
% 2.46/0.87 thf(func_def_211, type, sK145: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ X2 > $o) > X4))).
% 2.46/0.87 thf(func_def_212, type, sK146: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ X2 > $o) > X3))).
% 2.46/0.87 thf(func_def_213, type, sK147: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ X2 > $o) > X1))).
% 2.46/0.87 thf(func_def_214, type, sK148: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ X2 > $o) > X5))).
% 2.46/0.87 thf(func_def_215, type, sK149: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ X2 > $o) > X2))).
% 2.46/0.87 thf(func_def_216, type, sK150: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X6 @ X2 > $o) > X6))).
% 2.46/0.87 thf(func_def_217, type, sK151: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X1))).
% 2.46/0.87 thf(func_def_218, type, sK152: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0))).
% 2.46/0.87 thf(func_def_219, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > set @ X2) > X2 > X1))).
% 2.46/0.87 thf(func_def_220, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > set @ X2) > X2 > X0))).
% 2.46/0.87 thf(func_def_221, type, sK155: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_222, type, sK156: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 2.46/0.87 thf(func_def_223, type, sK157: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > set @ X0 > X0))).
% 2.46/0.87 thf(func_def_224, type, sK158: ((nat > $o) > nat)).
% 2.46/0.87 thf(func_def_225, type, sK159: ((nat > $o) > nat)).
% 2.46/0.87 thf(func_def_226, type, sK160: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.46/0.87 thf(func_def_227, type, sK161: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 2.46/0.87 thf(func_def_228, type, sK162: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 2.46/0.87 thf(func_def_230, type, sK164: (((list @ char > int) > (list @ char > int) > $o) > list @ char)).
% 2.46/0.87 thf(f1,axiom,(
% 2.46/0.87 ! [X7 : ((list @ char > int) > (list @ char > int) > $o),X6 : com,X4 : ((list @ char > int) > (list @ char > int) > $o),X5 : com] : ((relati1493963588_hoare @ X4 @ X5 @ X6 @ X7) => (relati167478067_valid @ X4 @ X5 @ X6 @ X7))),
% 2.46/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_soundness)).
% 2.46/0.87 thf(f2,axiom,(
% 2.46/0.87 ! [X3 : ((list @ char > int) > (list @ char > int) > $o),X0 : ((list @ char > int) > (list @ char > int) > $o),X2 : com,X1 : com] : ((relati167478067_valid @ X0 @ X1 @ X2 @ X3) => (relati1493963588_hoare @ X0 @ X1 @ X2 @ X3))),
% 2.46/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_completeness)).
% 2.46/0.87 thf(f9,axiom,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X3 : ((list @ char > int) > (list @ char > int) > $o),X2 : com] : ((relati167478067_valid @ X0 @ X1 @ X2 @ X3) => ((relati167478067_valid @ X0 @ X1 @ skip @ (relati332478480decomp @ X0 @ X1 @ X2 @ X3)) & (relati167478067_valid @ (relati332478480decomp @ X0 @ X1 @ X2 @ X3) @ skip @ X2 @ X3)))),
% 2.46/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_ir__valid__decomp1)).
% 2.46/0.87 thf(f10,axiom,(
% 2.46/0.87 ! [X2 : ((list @ char > int) > (list @ char > int) > $o),X4 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X3 : com,X0 : ((list @ char > int) > (list @ char > int) > $o)] : (((relati167478067_valid @ X2 @ skip @ X3 @ X4) & (relati167478067_valid @ X0 @ X1 @ skip @ X2)) => (relati167478067_valid @ X0 @ X1 @ X3 @ X4))),
% 2.46/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_ir__valid__decomp2)).
% 2.46/0.87 thf(f280,conjecture,(
% 2.46/0.87 (((relati1493963588_hoare @ p @ c @ c2 @ q)) = (relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q) & (relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q)))),
% 2.46/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.46/0.87 thf(f281,negated_conjecture,(
% 2.46/0.87 ~ (((relati1493963588_hoare @ p @ c @ c2 @ q)) = (relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q) & (relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q)))),
% 2.46/0.87 inference(negated_conjecture,[status(cth)],[f280])).
% 2.46/0.87 thf(f362,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : ((list @ char > int) > (list @ char > int) > $o),X2 : com,X3 : com,X4 : ((list @ char > int) > (list @ char > int) > $o)] : (((relati167478067_valid @ X0 @ skip @ X3 @ X1) & (relati167478067_valid @ X4 @ X2 @ skip @ X0)) => (relati167478067_valid @ X4 @ X2 @ X3 @ X1))),
% 2.46/0.87 inference(rectify,[],[f10])).
% 2.46/0.87 thf(f363,plain,(
% 2.46/0.87 ! [X4 : ((list @ char > int) > (list @ char > int) > $o),X2 : com,X3 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : ((list @ char > int) > (list @ char > int) > $o)] : (((((relati167478067_valid @ X0 @ skip @ X3 @ X1)) = $true) & ($true = ((relati167478067_valid @ X4 @ X2 @ skip @ X0)))) => (((relati167478067_valid @ X4 @ X2 @ X3 @ X1)) = $true))),
% 2.46/0.87 inference(fool_elimination,[],[f362])).
% 2.46/0.87 thf(f372,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : ((list @ char > int) > (list @ char > int) > $o),X2 : com,X3 : com] : ((relati167478067_valid @ X1 @ X3 @ X2 @ X0) => (relati1493963588_hoare @ X1 @ X3 @ X2 @ X0))),
% 2.46/0.87 inference(rectify,[],[f2])).
% 2.46/0.87 thf(f373,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X3 : com,X2 : com,X1 : ((list @ char > int) > (list @ char > int) > $o)] : (($true = ((relati167478067_valid @ X1 @ X3 @ X2 @ X0))) => (((relati1493963588_hoare @ X1 @ X3 @ X2 @ X0)) = $true))),
% 2.46/0.87 inference(fool_elimination,[],[f372])).
% 2.46/0.87 thf(f436,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X2 : ((list @ char > int) > (list @ char > int) > $o),X3 : com] : ((relati1493963588_hoare @ X2 @ X3 @ X1 @ X0) => (relati167478067_valid @ X2 @ X3 @ X1 @ X0))),
% 2.46/0.87 inference(rectify,[],[f1])).
% 2.46/0.87 thf(f437,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X2 : ((list @ char > int) > (list @ char > int) > $o),X3 : com] : ((((relati1493963588_hoare @ X2 @ X3 @ X1 @ X0)) = $true) => (((relati167478067_valid @ X2 @ X3 @ X1 @ X0)) = $true))),
% 2.46/0.87 inference(fool_elimination,[],[f436])).
% 2.46/0.87 thf(f537,plain,(
% 2.46/0.87 ~ (((relati1493963588_hoare @ p @ c @ c2 @ q)) = (relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q) & (relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q)))),
% 2.46/0.87 inference(rectify,[],[f281])).
% 2.46/0.87 thf(f538,plain,(
% 2.46/0.87 ~(((((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) & (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true)) <=> (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true))),
% 2.46/0.87 inference(fool_elimination,[],[f537])).
% 2.46/0.87 thf(f545,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X2 : ((list @ char > int) > (list @ char > int) > $o),X3 : com] : ((relati167478067_valid @ X0 @ X1 @ X3 @ X2) => ((relati167478067_valid @ X0 @ X1 @ skip @ (relati332478480decomp @ X0 @ X1 @ X3 @ X2)) & (relati167478067_valid @ (relati332478480decomp @ X0 @ X1 @ X3 @ X2) @ skip @ X3 @ X2)))),
% 2.46/0.87 inference(rectify,[],[f9])).
% 2.46/0.87 thf(f546,plain,(
% 2.46/0.87 ! [X3 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X2 : ((list @ char > int) > (list @ char > int) > $o)] : (($true = ((relati167478067_valid @ X0 @ X1 @ X3 @ X2))) => ((((relati167478067_valid @ (relati332478480decomp @ X0 @ X1 @ X3 @ X2) @ skip @ X3 @ X2)) = $true) & (((relati167478067_valid @ X0 @ X1 @ skip @ (relati332478480decomp @ X0 @ X1 @ X3 @ X2))) = $true)))),
% 2.46/0.87 inference(fool_elimination,[],[f545])).
% 2.46/0.87 thf(f749,plain,(
% 2.46/0.87 ! [X4 : ((list @ char > int) > (list @ char > int) > $o),X2 : com,X3 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : ((list @ char > int) > (list @ char > int) > $o)] : ((((relati167478067_valid @ X4 @ X2 @ X3 @ X1)) = $true) | ((((relati167478067_valid @ X0 @ skip @ X3 @ X1)) != $true) | ($true != ((relati167478067_valid @ X4 @ X2 @ skip @ X0)))))),
% 2.46/0.87 inference(ennf_transformation,[],[f363])).
% 2.46/0.87 thf(f750,plain,(
% 2.46/0.87 ! [X2 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X3 : com,X4 : ((list @ char > int) > (list @ char > int) > $o),X1 : ((list @ char > int) > (list @ char > int) > $o)] : (($true != ((relati167478067_valid @ X4 @ X2 @ skip @ X0))) | (((relati167478067_valid @ X4 @ X2 @ X3 @ X1)) = $true) | (((relati167478067_valid @ X0 @ skip @ X3 @ X1)) != $true))),
% 2.46/0.87 inference(flattening,[],[f749])).
% 2.46/0.87 thf(f789,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X2 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X3 : com] : (((((relati167478067_valid @ (relati332478480decomp @ X0 @ X1 @ X3 @ X2) @ skip @ X3 @ X2)) = $true) & (((relati167478067_valid @ X0 @ X1 @ skip @ (relati332478480decomp @ X0 @ X1 @ X3 @ X2))) = $true)) | ($true != ((relati167478067_valid @ X0 @ X1 @ X3 @ X2))))),
% 2.46/0.87 inference(ennf_transformation,[],[f546])).
% 2.46/0.87 thf(f794,plain,(
% 2.46/0.87 ! [X2 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X3 : com] : ((((relati167478067_valid @ X2 @ X3 @ X1 @ X0)) = $true) | (((relati1493963588_hoare @ X2 @ X3 @ X1 @ X0)) != $true))),
% 2.46/0.87 inference(ennf_transformation,[],[f437])).
% 2.46/0.87 thf(f840,plain,(
% 2.46/0.87 ! [X1 : ((list @ char > int) > (list @ char > int) > $o),X2 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X3 : com] : ((((relati1493963588_hoare @ X1 @ X3 @ X2 @ X0)) = $true) | ($true != ((relati167478067_valid @ X1 @ X3 @ X2 @ X0))))),
% 2.46/0.87 inference(ennf_transformation,[],[f373])).
% 2.46/0.87 thf(f898,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true) <~> ((((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) & (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true))),
% 2.46/0.87 inference(ennf_transformation,[],[f538])).
% 2.46/0.87 thf(f924,plain,(
% 2.46/0.87 ! [X0 : com,X1 : ((list @ char > int) > (list @ char > int) > $o),X2 : com,X3 : ((list @ char > int) > (list @ char > int) > $o),X4 : ((list @ char > int) > (list @ char > int) > $o)] : (($true != ((relati167478067_valid @ X3 @ X0 @ skip @ X1))) | (((relati167478067_valid @ X3 @ X0 @ X2 @ X4)) = $true) | (((relati167478067_valid @ X1 @ skip @ X2 @ X4)) != $true))),
% 2.46/0.87 inference(rectify,[],[f750])).
% 2.46/0.87 thf(f937,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X2 : ((list @ char > int) > (list @ char > int) > $o),X3 : com] : (($true = ((relati167478067_valid @ X0 @ X3 @ X1 @ X2))) | ($true != ((relati1493963588_hoare @ X0 @ X3 @ X1 @ X2))))),
% 2.46/0.87 inference(rectify,[],[f794])).
% 2.46/0.87 thf(f1081,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : ((list @ char > int) > (list @ char > int) > $o),X2 : com,X3 : com] : (((((relati167478067_valid @ (relati332478480decomp @ X0 @ X2 @ X3 @ X1) @ skip @ X3 @ X1)) = $true) & (((relati167478067_valid @ X0 @ X2 @ skip @ (relati332478480decomp @ X0 @ X2 @ X3 @ X1))) = $true)) | (((relati167478067_valid @ X0 @ X2 @ X3 @ X1)) != $true))),
% 2.46/0.87 inference(rectify,[],[f789])).
% 2.46/0.87 thf(f1142,plain,(
% 2.46/0.87 ! [X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com,X2 : ((list @ char > int) > (list @ char > int) > $o),X3 : com] : (($true = ((relati1493963588_hoare @ X0 @ X3 @ X1 @ X2))) | ($true != ((relati167478067_valid @ X0 @ X3 @ X1 @ X2))))),
% 2.46/0.87 inference(rectify,[],[f840])).
% 2.46/0.87 thf(f1186,plain,(
% 2.46/0.87 (((((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) != $true) | (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) != $true)) | (((relati1493963588_hoare @ p @ c @ c2 @ q)) != $true)) & (((((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) & (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true)) | (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true))),
% 2.46/0.87 inference(nnf_transformation,[],[f898])).
% 2.46/0.87 thf(f1187,plain,(
% 2.46/0.87 ((((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) != $true) | (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) != $true) | (((relati1493963588_hoare @ p @ c @ c2 @ q)) != $true)) & (((((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) & (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true)) | (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true))),
% 2.46/0.87 inference(flattening,[],[f1186])).
% 2.46/0.87 thf(f1223,plain,(
% 2.46/0.87 ( ! [X2 : com,X3 : ((list @ char > int) > (list @ char > int) > $o),X0 : com,X1 : ((list @ char > int) > (list @ char > int) > $o),X4 : ((list @ char > int) > (list @ char > int) > $o)] : (($true != ((relati167478067_valid @ X3 @ X0 @ skip @ X1))) | (((relati167478067_valid @ X1 @ skip @ X2 @ X4)) != $true) | (((relati167478067_valid @ X3 @ X0 @ X2 @ X4)) = $true)) )),
% 2.46/0.87 inference(cnf_transformation,[],[f924])).
% 2.46/0.87 thf(f1241,plain,(
% 2.46/0.87 ( ! [X2 : ((list @ char > int) > (list @ char > int) > $o),X3 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com] : (($true != ((relati1493963588_hoare @ X0 @ X3 @ X1 @ X2))) | ($true = ((relati167478067_valid @ X0 @ X3 @ X1 @ X2)))) )),
% 2.46/0.87 inference(cnf_transformation,[],[f937])).
% 2.46/0.87 thf(f1454,plain,(
% 2.46/0.87 ( ! [X2 : com,X3 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : ((list @ char > int) > (list @ char > int) > $o)] : ((((relati167478067_valid @ X0 @ X2 @ X3 @ X1)) != $true) | (((relati167478067_valid @ X0 @ X2 @ skip @ (relati332478480decomp @ X0 @ X2 @ X3 @ X1))) = $true)) )),
% 2.46/0.87 inference(cnf_transformation,[],[f1081])).
% 2.46/0.87 thf(f1455,plain,(
% 2.46/0.87 ( ! [X2 : com,X3 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : ((list @ char > int) > (list @ char > int) > $o)] : ((((relati167478067_valid @ X0 @ X2 @ X3 @ X1)) != $true) | (((relati167478067_valid @ (relati332478480decomp @ X0 @ X2 @ X3 @ X1) @ skip @ X3 @ X1)) = $true)) )),
% 2.46/0.87 inference(cnf_transformation,[],[f1081])).
% 2.46/0.87 thf(f1531,plain,(
% 2.46/0.87 ( ! [X2 : ((list @ char > int) > (list @ char > int) > $o),X3 : com,X0 : ((list @ char > int) > (list @ char > int) > $o),X1 : com] : (($true != ((relati167478067_valid @ X0 @ X3 @ X1 @ X2))) | ($true = ((relati1493963588_hoare @ X0 @ X3 @ X1 @ X2)))) )),
% 2.46/0.87 inference(cnf_transformation,[],[f1142])).
% 2.46/0.87 thf(f1581,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true) | (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true)),
% 2.46/0.87 inference(cnf_transformation,[],[f1187])).
% 2.46/0.87 thf(f1582,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) | (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true)),
% 2.46/0.87 inference(cnf_transformation,[],[f1187])).
% 2.46/0.87 thf(f1583,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) != $true) | (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) != $true) | (((relati1493963588_hoare @ p @ c @ c2 @ q)) != $true)),
% 2.46/0.87 inference(cnf_transformation,[],[f1187])).
% 2.46/0.87 thf(f1760,definition,(
% 2.46/0.87 spl163_5 <=> (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true)),
% 2.46/0.87 introduced(definition,[new_symbols(definition,[spl163_5])],[avatar_definition])).
% 2.46/0.87 thf(f1762,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true) | ~spl163_5),
% 2.46/0.87 inference(avatar_component_clause,[],[f1760])).
% 2.46/0.87 thf(f1764,definition,(
% 2.46/0.87 spl163_6 <=> (((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true)),
% 2.46/0.87 introduced(definition,[new_symbols(definition,[spl163_6])],[avatar_definition])).
% 2.46/0.87 thf(f1765,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) != $true) | spl163_6),
% 2.46/0.87 inference(avatar_component_clause,[],[f1764])).
% 2.46/0.87 thf(f1766,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) | ~spl163_6),
% 2.46/0.87 inference(avatar_component_clause,[],[f1764])).
% 2.46/0.87 thf(f1767,plain,(
% 2.46/0.87 spl163_5 | spl163_6),
% 2.46/0.87 inference(avatar_split_clause,[],[f1582,f1764,f1760])).
% 2.46/0.87 thf(f1774,definition,(
% 2.46/0.87 spl163_8 <=> (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true)),
% 2.46/0.87 introduced(definition,[new_symbols(definition,[spl163_8])],[avatar_definition])).
% 2.46/0.87 thf(f1775,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true) | ~spl163_8),
% 2.46/0.87 inference(avatar_component_clause,[],[f1774])).
% 2.46/0.87 thf(f1776,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) != $true) | spl163_8),
% 2.46/0.87 inference(avatar_component_clause,[],[f1774])).
% 2.46/0.87 thf(f1777,plain,(
% 2.46/0.87 ~spl163_8 | ~spl163_5 | ~spl163_6),
% 2.46/0.87 inference(avatar_split_clause,[],[f1583,f1764,f1760,f1774])).
% 2.46/0.87 thf(f1868,plain,(
% 2.46/0.87 spl163_8 | spl163_5),
% 2.46/0.87 inference(avatar_split_clause,[],[f1581,f1760,f1774])).
% 2.46/0.87 thf(f1909,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) | ($true != $true) | ~spl163_6),
% 2.46/0.87 inference(superposition,[],[f1241,f1766])).
% 2.46/0.87 thf(f1910,plain,(
% 2.46/0.87 (((relati167478067_valid @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true) | ($true != $true) | ~spl163_8),
% 2.46/0.87 inference(superposition,[],[f1241,f1775])).
% 2.46/0.87 thf(f1912,plain,(
% 2.46/0.87 (((relati167478067_valid @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true) | ~spl163_8),
% 2.46/0.87 inference(trivial_inequality_removal,[],[f1910])).
% 2.46/0.87 thf(f1913,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) | ~spl163_6),
% 2.46/0.87 inference(trivial_inequality_removal,[],[f1909])).
% 2.46/0.87 thf(f1916,definition,(
% 2.46/0.87 spl163_34 <=> (((relati167478067_valid @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true)),
% 2.46/0.87 introduced(definition,[new_symbols(definition,[spl163_34])],[avatar_definition])).
% 2.46/0.87 thf(f1918,plain,(
% 2.46/0.87 (((relati167478067_valid @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true) | ~spl163_34),
% 2.46/0.87 inference(avatar_component_clause,[],[f1916])).
% 2.46/0.87 thf(f1919,plain,(
% 2.46/0.87 spl163_34 | ~spl163_8),
% 2.46/0.87 inference(avatar_split_clause,[],[f1912,f1774,f1916])).
% 2.46/0.87 thf(f1921,definition,(
% 2.46/0.87 spl163_35 <=> (((relati167478067_valid @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true)),
% 2.46/0.87 introduced(definition,[new_symbols(definition,[spl163_35])],[avatar_definition])).
% 2.46/0.87 thf(f1923,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) | ~spl163_35),
% 2.46/0.87 inference(avatar_component_clause,[],[f1921])).
% 2.46/0.87 thf(f1924,plain,(
% 2.46/0.87 spl163_35 | ~spl163_6),
% 2.46/0.87 inference(avatar_split_clause,[],[f1913,f1764,f1921])).
% 2.46/0.87 thf(f1925,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ c2 @ q)) = $true) | ~spl163_5),
% 2.46/0.87 inference(unit_resulting_resolution,[],[f1241,f1762])).
% 2.46/0.87 thf(f1929,definition,(
% 2.46/0.87 spl163_36 <=> (((relati167478067_valid @ p @ c @ c2 @ q)) = $true)),
% 2.46/0.87 introduced(definition,[new_symbols(definition,[spl163_36])],[avatar_definition])).
% 2.46/0.87 thf(f1930,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ c2 @ q)) != $true) | spl163_36),
% 2.46/0.87 inference(avatar_component_clause,[],[f1929])).
% 2.46/0.87 thf(f1931,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ c2 @ q)) = $true) | ~spl163_36),
% 2.46/0.87 inference(avatar_component_clause,[],[f1929])).
% 2.46/0.87 thf(f1932,plain,(
% 2.46/0.87 spl163_36 | ~spl163_5),
% 2.46/0.87 inference(avatar_split_clause,[],[f1925,f1760,f1929])).
% 2.46/0.87 thf(f1933,plain,(
% 2.46/0.87 (((relati167478067_valid @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) != $true) | spl163_8),
% 2.46/0.87 inference(unit_resulting_resolution,[],[f1531,f1776])).
% 2.46/0.87 thf(f1934,plain,(
% 2.46/0.87 ~spl163_34 | spl163_8),
% 2.46/0.87 inference(avatar_split_clause,[],[f1933,f1774,f1916])).
% 2.46/0.87 thf(f1959,plain,(
% 2.46/0.87 (((relati167478067_valid @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) = $true) | ~spl163_36),
% 2.46/0.87 inference(unit_resulting_resolution,[],[f1455,f1931])).
% 2.46/0.87 thf(f1963,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) | ($true != $true) | ~spl163_36),
% 2.46/0.87 inference(superposition,[],[f1454,f1931])).
% 2.46/0.87 thf(f1964,plain,(
% 2.46/0.87 ($true != $true) | (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true) | ~spl163_36),
% 2.46/0.87 inference(superposition,[],[f1531,f1931])).
% 2.46/0.87 thf(f1966,plain,(
% 2.46/0.87 (((relati1493963588_hoare @ p @ c @ c2 @ q)) = $true) | ~spl163_36),
% 2.46/0.87 inference(trivial_inequality_removal,[],[f1964])).
% 2.46/0.87 thf(f1967,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) = $true) | ~spl163_36),
% 2.46/0.87 inference(trivial_inequality_removal,[],[f1963])).
% 2.46/0.87 thf(f1968,plain,(
% 2.46/0.87 spl163_34 | ~spl163_36),
% 2.46/0.87 inference(avatar_split_clause,[],[f1959,f1929,f1916])).
% 2.46/0.87 thf(f1969,plain,(
% 2.46/0.87 spl163_35 | ~spl163_36),
% 2.46/0.87 inference(avatar_split_clause,[],[f1967,f1929,f1921])).
% 2.46/0.87 thf(f1994,plain,(
% 2.46/0.87 (((relati167478067_valid @ p @ c @ skip @ (relati332478480decomp @ p @ c @ c2 @ q))) != $true) | spl163_6),
% 2.46/0.87 inference(unit_resulting_resolution,[],[f1531,f1765])).
% 2.46/0.87 thf(f1995,plain,(
% 2.46/0.87 ~spl163_35 | spl163_6),
% 2.46/0.87 inference(avatar_split_clause,[],[f1994,f1764,f1921])).
% 2.46/0.87 thf(f1998,plain,(
% 2.46/0.87 spl163_5 | ~spl163_36),
% 2.46/0.87 inference(avatar_split_clause,[],[f1966,f1929,f1760])).
% 2.46/0.87 thf(f2906,plain,(
% 2.46/0.87 (((relati167478067_valid @ (relati332478480decomp @ p @ c @ c2 @ q) @ skip @ c2 @ q)) != $true) | (~spl163_35 | spl163_36)),
% 2.46/0.87 inference(unit_resulting_resolution,[],[f1223,f1930,f1923])).
% 2.46/0.87 thf(f2937,plain,(
% 2.46/0.87 $false | (~spl163_34 | ~spl163_35 | spl163_36)),
% 2.46/0.87 inference(forward_subsumption_resolution,[],[f2906,f1918])).
% 2.46/0.87 thf(f2938,plain,(
% 2.46/0.87 ~spl163_34 | ~spl163_35 | spl163_36),
% 2.46/0.87 inference(avatar_contradiction_clause,[],[f2937])).
% 2.46/0.87 cnf(s5, plain, spl163_5 | spl163_6, inference(sat_conversion,[],[f1767])).
% 2.46/0.87 cnf(s7, plain, ~spl163_5 | ~spl163_6 | ~spl163_8, inference(sat_conversion,[],[f1777])).
% 2.46/0.87 cnf(s28, plain, spl163_5 | spl163_8, inference(sat_conversion,[],[f1868])).
% 2.46/0.87 cnf(s36, plain, ~spl163_8 | spl163_34, inference(sat_conversion,[],[f1919])).
% 2.46/0.87 cnf(s37, plain, ~spl163_6 | spl163_35, inference(sat_conversion,[],[f1924])).
% 2.46/0.87 cnf(s40, plain, ~spl163_5 | spl163_36, inference(sat_conversion,[],[f1932])).
% 2.46/0.87 cnf(s42, plain, spl163_8 | ~spl163_34, inference(sat_conversion,[],[f1934])).
% 2.46/0.87 cnf(s46, plain, spl163_34 | ~spl163_36, inference(sat_conversion,[],[f1968])).
% 2.46/0.87 cnf(s48, plain, spl163_35 | ~spl163_36, inference(sat_conversion,[],[f1969])).
% 2.46/0.87 cnf(s59, plain, spl163_6 | ~spl163_35, inference(sat_conversion,[],[f1995])).
% 2.46/0.87 cnf(s61, plain, spl163_5 | ~spl163_36, inference(sat_conversion,[],[f1998])).
% 2.46/0.87 cnf(s222, plain, ~spl163_34 | ~spl163_35 | spl163_36, inference(sat_conversion,[],[f2938])).
% 2.46/0.87 cnf(s226, plain, spl163_5, inference(rat,[],[s222,s37,s36,s5,s28,s61])).
% 2.46/0.87 cnf(s228, plain, spl163_36, inference(rat,[],[s40,s226])).
% 2.46/0.87 cnf(s231, plain, spl163_35, inference(rat,[],[s48,s228])).
% 2.46/0.87 cnf(s232, plain, spl163_34, inference(rat,[],[s46,s228])).
% 2.46/0.87 cnf(s239, plain, spl163_6, inference(rat,[],[s59,s231])).
% 2.46/0.87 cnf(s242, plain, spl163_8, inference(rat,[],[s42,s232])).
% 2.46/0.87 cnf(s250, plain, $false, inference(rat,[],[s7,s226,s242,s239])).
% 2.46/0.87 thf(f2944,plain,(
% 2.46/0.87 $false),
% 2.46/0.87 inference(avatar_sat_refutation,[],[s250])).
% 2.46/0.87 % SZS output end Proof for theBenchmark
% 2.46/0.87 % (4052211)------------------------------
% 2.46/0.87 % (4052211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.87 % (4052211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.87 % (4052211)CaDiCaL version: 2.1.3
% 2.46/0.87 % (4052211)Termination reason: Refutation
% 2.46/0.87 % (4052211)Time elapsed: 0.177 s
% 2.46/0.87 % (4052211)Peak memory usage: 16 MB
% 2.46/0.87 % (4052211)Instructions burned: 346 (million)
% 2.46/0.87 % (4052122)Success in time 0.551 s
% 2.46/0.87 % Vampire exiting
%------------------------------------------------------------------------------