%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP106^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:22 AM UTC 2026
% Result : Theorem 0.91s 0.58s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP106^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 % Computer : n004.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 19:54:52 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 Running higher-order theorem proving
% 0.23/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/0.48 % (1759421)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.91/0.48 % (1759431)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=685710156:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.91/0.48 % (1759432)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.91/0.48 % (1759432)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
% 0.91/0.48 % (1759427)lrs+10_16_si=on:nwc=1.5:random_seed=2643344094:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.91/0.48 % (1759426)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4123464232:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.91/0.48 % (1759428)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3146774527:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.91/0.48 % (1759430)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=531147091:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.91/0.48 % (1759429)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=4075995592: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)
% 0.91/0.48 % (1759432)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=3742555768:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.91/0.48 % (1759428)Instruction limit reached!
% 0.91/0.48 % (1759428)------------------------------
% 0.91/0.48 % (1759428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48 % (1759428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48 % (1759428)CaDiCaL version: 2.1.3
% 0.91/0.48 % (1759428)Termination reason: Instruction limit
% 0.91/0.48 % (1759428)Termination phase: shuffling
% 0.91/0.48 % (1759428)Time elapsed: 0.003 s
% 0.91/0.48 % (1759428)Peak memory usage: 10 MB
% 0.91/0.48 % (1759428)Instructions burned: 7 (million)
% 0.91/0.48 % (1759427)Instruction limit reached!
% 0.91/0.48 % (1759427)------------------------------
% 0.91/0.48 % (1759427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48 % (1759427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48 % (1759427)CaDiCaL version: 2.1.3
% 0.91/0.48 % (1759427)Termination reason: Instruction limit
% 0.91/0.48 % (1759427)Termination phase: shuffling
% 0.91/0.48 % (1759427)Time elapsed: 0.009 s
% 0.91/0.48 % (1759427)Peak memory usage: 10 MB
% 0.91/0.48 % (1759427)Instructions burned: 20 (million)
% 0.91/0.48 % (1759431)Instruction limit reached!
% 0.91/0.48 % (1759431)------------------------------
% 0.91/0.48 % (1759431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48 % (1759431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48 % (1759431)CaDiCaL version: 2.1.3
% 0.91/0.48 % (1759431)Termination reason: Instruction limit
% 0.91/0.48 % (1759431)Termination phase: shuffling
% 0.91/0.48 % (1759431)Time elapsed: 0.017 s
% 0.91/0.48 % (1759431)Peak memory usage: 11 MB
% 0.91/0.48 % (1759431)Instructions burned: 76 (million)
% 0.91/0.48 % (1759430)Instruction limit reached!
% 0.91/0.48 % (1759430)------------------------------
% 0.91/0.48 % (1759430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48 % (1759430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48 % (1759430)CaDiCaL version: 2.1.3
% 0.91/0.48 % (1759430)Termination reason: Instruction limit
% 0.91/0.48 % (1759430)Termination phase: shuffling
% 0.91/0.48 % (1759430)Time elapsed: 0.010 s
% 0.91/0.48 % (1759430)Peak memory usage: 10 MB
% 0.91/0.48 % (1759430)Instructions burned: 24 (million)
% 0.91/0.48 % (1759442)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.91/0.48 % (1759442)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3747329175:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.91/0.52 % (1759440)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=135017805:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.91/0.52 % (1759442)Instruction limit reached!
% 0.91/0.52 % (1759442)------------------------------
% 0.91/0.52 % (1759442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52 % (1759442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52 % (1759442)CaDiCaL version: 2.1.3
% 0.91/0.52 % (1759442)Termination reason: Instruction limit
% 0.91/0.52 % (1759442)Termination phase: shuffling
% 0.91/0.52 % (1759442)Time elapsed: 0.003 s
% 0.91/0.52 % (1759442)Peak memory usage: 10 MB
% 0.91/0.52 % (1759442)Instructions burned: 14 (million)
% 0.91/0.52 % (1759440)Instruction limit reached!
% 0.91/0.52 % (1759440)------------------------------
% 0.91/0.52 % (1759440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52 % (1759440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52 % (1759440)CaDiCaL version: 2.1.3
% 0.91/0.52 % (1759440)Termination reason: Instruction limit
% 0.91/0.52 % (1759440)Termination phase: shuffling
% 0.91/0.52 % (1759440)Time elapsed: 0.002 s
% 0.91/0.52 % (1759440)Peak memory usage: 10 MB
% 0.91/0.52 % (1759440)Instructions burned: 4 (million)
% 0.91/0.52 % (1759441)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4284680790:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.91/0.52 % (1759443)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1894595853:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.91/0.52 % (1759441)Instruction limit reached!
% 0.91/0.52 % (1759441)------------------------------
% 0.91/0.52 % (1759441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52 % (1759441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52 % (1759441)CaDiCaL version: 2.1.3
% 0.91/0.52 % (1759441)Termination reason: Instruction limit
% 0.91/0.52 % (1759441)Termination phase: shuffling
% 0.91/0.52 % (1759441)Time elapsed: 0.003 s
% 0.91/0.52 % (1759441)Peak memory usage: 10 MB
% 0.91/0.52 % (1759441)Instructions burned: 6 (million)
% 0.91/0.52 % (1759446)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
% 0.91/0.52 % (1759446)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.91/0.52 % (1759446)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=573666247:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.91/0.52 % (1759443)Instruction limit reached!
% 0.91/0.52 % (1759443)------------------------------
% 0.91/0.52 % (1759443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52 % (1759443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52 % (1759443)CaDiCaL version: 2.1.3
% 0.91/0.52 % (1759443)Termination reason: Instruction limit
% 0.91/0.52 % (1759443)Termination phase: shuffling
% 0.91/0.52 % (1759443)Time elapsed: 0.006 s
% 0.91/0.52 % (1759443)Peak memory usage: 10 MB
% 0.91/0.52 % (1759443)Instructions burned: 13 (million)
% 0.91/0.52 % (1759446)Instruction limit reached!
% 0.91/0.52 % (1759446)------------------------------
% 0.91/0.52 % (1759446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52 % (1759446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52 % (1759446)CaDiCaL version: 2.1.3
% 0.91/0.52 % (1759446)Termination reason: Instruction limit
% 0.91/0.52 % (1759446)Termination phase: shuffling
% 0.91/0.52 % (1759446)Time elapsed: 0.008 s
% 0.91/0.52 % (1759446)Peak memory usage: 10 MB
% 0.91/0.52 % (1759446)Instructions burned: 33 (million)
% 0.91/0.52 % (1759447)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=3793315483:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.91/0.52 % (1759452)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.91/0.52 % (1759426)Instruction limit reached!
% 0.91/0.55 % (1759426)------------------------------
% 0.91/0.55 % (1759426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.55 % (1759426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.55 % (1759426)CaDiCaL version: 2.1.3
% 0.91/0.55 % (1759426)Termination reason: Instruction limit
% 0.91/0.55 % (1759426)Termination phase: Property scanning
% 0.91/0.55 % (1759426)Time elapsed: 0.051 s
% 0.91/0.55 % (1759426)Peak memory usage: 11 MB
% 0.91/0.55 % (1759426)Instructions burned: 88 (million)
% 0.91/0.55 % (1759454)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=268031992:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.91/0.55 % (1759452)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=2809074043:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.91/0.55 % (1759450)lrs+10_1_si=on:cs=on:random_seed=2370328974:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.91/0.55 % (1759452)Instruction limit reached!
% 0.91/0.55 % (1759452)------------------------------
% 0.91/0.55 % (1759452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.55 % (1759452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.55 % (1759452)CaDiCaL version: 2.1.3
% 0.91/0.55 % (1759452)Termination reason: Instruction limit
% 0.91/0.55 % (1759452)Termination phase: shuffling
% 0.91/0.55 % (1759452)Time elapsed: 0.002 s
% 0.91/0.55 % (1759452)Peak memory usage: 10 MB
% 0.91/0.55 % (1759452)Instructions burned: 3 (million)
% 0.91/0.55 % (1759454)Instruction limit reached!
% 0.91/0.55 % (1759454)------------------------------
% 0.91/0.55 % (1759454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.55 % (1759454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.55 % (1759454)CaDiCaL version: 2.1.3
% 0.91/0.55 % (1759454)Termination reason: Instruction limit
% 0.91/0.55 % (1759454)Termination phase: Property scanning
% 0.91/0.55 % (1759454)Time elapsed: 0.008 s
% 0.91/0.55 % (1759454)Peak memory usage: 10 MB
% 0.91/0.55 % (1759454)Instructions burned: 38 (million)
% 0.91/0.55 % (1759450)Instruction limit reached!
% 0.91/0.55 % (1759450)------------------------------
% 0.91/0.55 % (1759450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.55 % (1759450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.55 % (1759450)CaDiCaL version: 2.1.3
% 0.91/0.55 % (1759450)Termination reason: Instruction limit
% 0.91/0.55 % (1759450)Termination phase: shuffling
% 0.91/0.55 % (1759450)Time elapsed: 0.008 s
% 0.91/0.55 % (1759450)Peak memory usage: 10 MB
% 0.91/0.55 % (1759450)Instructions burned: 9 (million)
% 0.91/0.55 % (1759432)Instruction limit reached!
% 0.91/0.55 % (1759432)------------------------------
% 0.91/0.55 % (1759432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.55 % (1759432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.55 % (1759432)CaDiCaL version: 2.1.3
% 0.91/0.55 % (1759432)Termination reason: Instruction limit
% 0.91/0.55 % (1759432)Termination phase: Saturation
% 0.91/0.55 % (1759432)Time elapsed: 0.071 s
% 0.91/0.55 % (1759432)Peak memory usage: 13 MB
% 0.91/0.55 % (1759432)Instructions burned: 158 (million)
% 0.91/0.55 % (1759461)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=774357583:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.55 % (1759461)Instruction limit reached!
% 0.91/0.55 % (1759461)------------------------------
% 0.91/0.55 % (1759461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.55 % (1759461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.55 % (1759461)CaDiCaL version: 2.1.3
% 0.91/0.55 % (1759461)Termination reason: Instruction limit
% 0.91/0.55 % (1759461)Termination phase: shuffling
% 0.91/0.55 % (1759461)Time elapsed: 0.004 s
% 0.91/0.55 % (1759461)Peak memory usage: 10 MB
% 0.91/0.55 % (1759461)Instructions burned: 16 (million)
% 0.91/0.55 % (1759447)Instruction limit reached!
% 0.91/0.55 % (1759447)------------------------------
% 0.91/0.55 % (1759447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.55 % (1759447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759447)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759447)Termination reason: Instruction limit
% 0.91/0.58 % (1759447)Termination phase: Preprocessing 1
% 0.91/0.58 % (1759447)Time elapsed: 0.037 s
% 0.91/0.58 % (1759447)Peak memory usage: 10 MB
% 0.91/0.58 % (1759447)Instructions burned: 87 (million)
% 0.91/0.58 % (1759459)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1301353834:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.91/0.58 % (1759466)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4230098667: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)
% 0.91/0.58 % (1759466)Instruction limit reached!
% 0.91/0.58 % (1759466)------------------------------
% 0.91/0.58 % (1759466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759466)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759466)Termination reason: Instruction limit
% 0.91/0.58 % (1759466)Termination phase: shuffling
% 0.91/0.58 % (1759466)Time elapsed: 0.003 s
% 0.91/0.58 % (1759466)Peak memory usage: 10 MB
% 0.91/0.58 % (1759466)Instructions burned: 13 (million)
% 0.91/0.58 % (1759462)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2379478271:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.91/0.58 % (1759465)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3096032090:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.58 % (1759460)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1849538495:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.91/0.58 % (1759465)Instruction limit reached!
% 0.91/0.58 % (1759465)------------------------------
% 0.91/0.58 % (1759465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759465)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759465)Termination reason: Instruction limit
% 0.91/0.58 % (1759465)Termination phase: shuffling
% 0.91/0.58 % (1759465)Time elapsed: 0.006 s
% 0.91/0.58 % (1759465)Peak memory usage: 10 MB
% 0.91/0.58 % (1759465)Instructions burned: 14 (million)
% 0.91/0.58 % (1759471)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=342231021:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.91/0.58 % (1759467)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1943470965:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.91/0.58 % (1759471)Instruction limit reached!
% 0.91/0.58 % (1759471)------------------------------
% 0.91/0.58 % (1759471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759471)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759471)Termination reason: Instruction limit
% 0.91/0.58 % (1759471)Termination phase: shuffling
% 0.91/0.58 % (1759471)Time elapsed: 0.005 s
% 0.91/0.58 % (1759471)Peak memory usage: 10 MB
% 0.91/0.58 % (1759471)Instructions burned: 24 (million)
% 0.91/0.58 % (1759460)Instruction limit reached!
% 0.91/0.58 % (1759460)------------------------------
% 0.91/0.58 % (1759460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759460)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759460)Termination reason: Instruction limit
% 0.91/0.58 % (1759460)Termination phase: shuffling
% 0.91/0.58 % (1759460)Time elapsed: 0.020 s
% 0.91/0.58 % (1759460)Peak memory usage: 10 MB
% 0.91/0.58 % (1759460)Instructions burned: 25 (million)
% 0.91/0.58 % (1759477)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
% 0.91/0.58 % (1759477)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.91/0.58 % (1759477)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=4064730140:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.58 % (1759474)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1942450695:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.91/0.58 % (1759477)Instruction limit reached!
% 0.91/0.58 % (1759477)------------------------------
% 0.91/0.58 % (1759477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759477)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759477)Termination reason: Instruction limit
% 0.91/0.58 % (1759477)Termination phase: shuffling
% 0.91/0.58 % (1759477)Time elapsed: 0.003 s
% 0.91/0.58 % (1759477)Peak memory usage: 10 MB
% 0.91/0.58 % (1759477)Instructions burned: 15 (million)
% 0.91/0.58 % (1759467)Instruction limit reached!
% 0.91/0.58 % (1759467)------------------------------
% 0.91/0.58 % (1759467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759467)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759467)Termination reason: Instruction limit
% 0.91/0.58 % (1759467)Termination phase: shuffling
% 0.91/0.58 % (1759467)Time elapsed: 0.022 s
% 0.91/0.58 % (1759467)Peak memory usage: 10 MB
% 0.91/0.58 % (1759467)Instructions burned: 26 (million)
% 0.91/0.58 % (1759478)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.91/0.58 % (1759481)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=3462932726:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.91/0.58 % (1759478)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=1881125440:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.91/0.58 % (1759481)Instruction limit reached!
% 0.91/0.58 % (1759481)------------------------------
% 0.91/0.58 % (1759481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759481)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759481)Termination reason: Instruction limit
% 0.91/0.58 % (1759481)Termination phase: shuffling
% 0.91/0.58 % (1759481)Time elapsed: 0.009 s
% 0.91/0.58 % (1759481)Peak memory usage: 10 MB
% 0.91/0.58 % (1759481)Instructions burned: 34 (million)
% 0.91/0.58 % (1759478)Instruction limit reached!
% 0.91/0.58 % (1759478)------------------------------
% 0.91/0.58 % (1759478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759478)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759478)Termination reason: Instruction limit
% 0.91/0.58 % (1759478)Termination phase: shuffling
% 0.91/0.58 % (1759478)Time elapsed: 0.004 s
% 0.91/0.58 % (1759478)Peak memory usage: 10 MB
% 0.91/0.58 % (1759478)Instructions burned: 9 (million)
% 0.91/0.58 % (1759474)Instruction limit reached!
% 0.91/0.58 % (1759474)------------------------------
% 0.91/0.58 % (1759474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759474)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759474)Termination reason: Instruction limit
% 0.91/0.58 % (1759474)Termination phase: Preprocessing 1
% 0.91/0.58 % (1759474)Time elapsed: 0.025 s
% 0.91/0.58 % (1759474)Peak memory usage: 10 MB
% 0.91/0.58 % (1759474)Instructions burned: 60 (million)
% 0.91/0.58 % (1759482)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=151901479:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.91/0.58 % (1759485)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=617647907:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.91/0.58 % (1759482)Instruction limit reached!
% 0.91/0.58 % (1759482)------------------------------
% 0.91/0.58 % (1759482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759482)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759482)Termination reason: Instruction limit
% 0.91/0.58 % (1759482)Termination phase: shuffling
% 0.91/0.58 % (1759482)Time elapsed: 0.004 s
% 0.91/0.58 % (1759482)Peak memory usage: 10 MB
% 0.91/0.58 % (1759482)Instructions burned: 9 (million)
% 0.91/0.58 % (1759459)Refutation not found, incomplete strategy
% 0.91/0.58 % (1759459)------------------------------
% 0.91/0.58 % (1759459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759459)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759459)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.58 % (1759459)Time elapsed: 0.064 s
% 0.91/0.58 % (1759459)Peak memory usage: 14 MB
% 0.91/0.58 % (1759459)Instructions burned: 127 (million)
% 0.91/0.58 % (1759459)------------------------------
% 0.91/0.58 % (1759459)------------------------------
% 0.91/0.58 % (1759485)Instruction limit reached!
% 0.91/0.58 % (1759485)------------------------------
% 0.91/0.58 % (1759485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759485)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759485)Termination reason: Instruction limit
% 0.91/0.58 % (1759485)Termination phase: shuffling
% 0.91/0.58 % (1759485)Time elapsed: 0.006 s
% 0.91/0.58 % (1759485)Peak memory usage: 10 MB
% 0.91/0.58 % (1759485)Instructions burned: 25 (million)
% 0.91/0.58 % (1759486)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2802897557:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.91/0.58 % (1759487)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2573107579:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 0.91/0.58 % (1759486)Instruction limit reached!
% 0.91/0.58 % (1759486)------------------------------
% 0.91/0.58 % (1759486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759486)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759486)Termination reason: Instruction limit
% 0.91/0.58 % (1759486)Termination phase: shuffling
% 0.91/0.58 % (1759486)Time elapsed: 0.009 s
% 0.91/0.58 % (1759486)Peak memory usage: 10 MB
% 0.91/0.58 % (1759486)Instructions burned: 21 (million)
% 0.91/0.58 % (1759429) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1759421-1759429"...
% 0.91/0.58 % (1759490)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=699744447:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 0.91/0.58 % (1759491)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3372204778:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 0.91/0.58 % (1759429)...printing done.
% 0.91/0.58 % (1759429)Refutation found. Thanks to Tanya!
% 0.91/0.58 % SZS status Theorem for theBenchmark
% 0.91/0.58 % SZS output start Proof for theBenchmark
% 0.91/0.58 thf(type_def_5, type, partia1265057091ct_ext: ($tType * $tType) > $tType).
% 0.91/0.58 thf(type_def_6, type, eq_eq_object_ext: ($tType * $tType) > $tType).
% 0.91/0.58 thf(type_def_7, type, monoid_ext: ($tType * $tType) > $tType).
% 0.91/0.58 thf(type_def_8, type, ring_ext: ($tType * $tType) > $tType).
% 0.91/0.58 thf(type_def_9, type, product_unit: $tType).
% 0.91/0.58 thf(type_def_10, type, product_prod: ($tType * $tType) > $tType).
% 0.91/0.58 thf(type_def_11, type, set: $tType > $tType).
% 0.91/0.58 thf(type_def_12, type, nat: $tType).
% 0.91/0.58 thf(type_def_13, type, int: $tType).
% 0.91/0.58 thf(type_def_14, type, b: $tType).
% 0.91/0.58 thf(type_def_15, type, a: $tType).
% 0.91/0.58 thf(type_def_16, type, sTfun: ($tType * $tType) > $tType).
% 0.91/0.58 thf(func_def_0, type, group_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_1, type, semiring_1: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_2, type, ab_group_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_3, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_4, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_5, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_6, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_7, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_8, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_9, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_10, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.91/0.58 thf(func_def_11, type, partial_carrier: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ X1 > set @ X0))).
% 0.91/0.58 thf(func_def_12, type, units: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > set @ X0))).
% 0.91/0.58 thf(func_def_13, type, comm_group: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > $o))).
% 0.91/0.58 thf(func_def_14, type, group: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > $o))).
% 0.91/0.58 thf(func_def_15, type, mult: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > X0 > X0 > X0))).
% 0.91/0.58 thf(func_def_16, type, one: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > X0))).
% 0.91/0.58 thf(func_def_17, type, units_of: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ product_unit))).
% 0.91/0.58 thf(func_def_18, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.91/0.58 thf(func_def_19, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.91/0.58 thf(func_def_20, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.91/0.58 thf(func_def_21, type, suc: (nat > nat)).
% 0.91/0.58 thf(func_def_22, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 0.91/0.58 thf(func_def_23, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.91/0.58 thf(func_def_24, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.91/0.58 thf(func_def_25, type, a_inv: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > X0))).
% 0.91/0.58 thf(func_def_26, type, a_minus: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > X0 > X0))).
% 0.91/0.58 thf(func_def_27, type, abelian_group: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > $o))).
% 0.91/0.58 thf(func_def_28, type, add_pow: !>[X0: $tType, X1: $tType, X2: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X2 > X0 > X0))).
% 0.91/0.58 thf(func_def_29, type, field: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > $o))).
% 0.91/0.58 thf(func_def_30, type, add: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > X0 > X0))).
% 0.91/0.58 thf(func_def_31, type, more: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X1))).
% 0.91/0.58 thf(func_def_32, type, zero: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0))).
% 0.91/0.58 thf(func_def_33, type, semiring: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > $o))).
% 0.91/0.58 thf(func_def_34, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.91/0.58 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.91/0.58 thf(func_def_36, type, r: partia1265057091ct_ext @ a @ monoid_ext @ a @ ring_ext @ a @ b).
% 0.91/0.58 thf(func_def_37, type, r2: a).
% 0.91/0.58 thf(func_def_38, type, r3: a).
% 0.91/0.58 thf(func_def_39, type, r4: a).
% 0.91/0.58 thf(func_def_40, type, rel: partia1265057091ct_ext @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit).
% 0.91/0.58 thf(func_def_41, type, s: a).
% 0.91/0.58 thf(func_def_42, type, s2: a).
% 0.91/0.58 thf(func_def_43, type, s3: a).
% 0.91/0.58 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 0.91/0.58 thf(func_def_48, type, db1: !>[X0: $tType]:(X0)).
% 0.91/0.58 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.91/0.58 thf(func_def_50, type, db2: !>[X0: $tType]:(X0)).
% 0.91/0.58 thf(func_def_51, type, sP0: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ ring_ext @ X1 @ X0 > $o))).
% 0.91/0.58 thf(func_def_52, type, sP1: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ ring_ext @ X1 @ X0 > $o))).
% 0.91/0.58 thf(func_def_53, type, sP2: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > $o))).
% 0.91/0.58 thf(func_def_54, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > $o) > X2))).
% 0.91/0.58 thf(func_def_55, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > $o) > X0))).
% 0.91/0.58 thf(func_def_56, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > $o) > X3))).
% 0.91/0.58 thf(func_def_57, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > $o) > X1))).
% 0.91/0.58 thf(func_def_58, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X0))).
% 0.91/0.58 thf(func_def_59, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X3))).
% 0.91/0.58 thf(func_def_60, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X1))).
% 0.91/0.58 thf(func_def_61, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X2))).
% 0.91/0.58 thf(func_def_62, type, sK11: (a > a)).
% 0.91/0.58 thf(func_def_63, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X2))).
% 0.91/0.58 thf(func_def_64, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X3))).
% 0.91/0.58 thf(func_def_65, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X5))).
% 0.91/0.58 thf(func_def_66, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X0))).
% 0.91/0.58 thf(func_def_67, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X4))).
% 0.91/0.58 thf(func_def_68, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X1))).
% 0.91/0.58 thf(func_def_69, type, sK18: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.91/0.58 thf(func_def_70, type, sK19: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_71, type, sK20: (a > a)).
% 0.91/0.58 thf(func_def_72, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X4))).
% 0.91/0.58 thf(func_def_73, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X3))).
% 0.91/0.58 thf(func_def_74, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X1))).
% 0.91/0.58 thf(func_def_75, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X2))).
% 0.91/0.58 thf(func_def_76, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X0))).
% 0.91/0.58 thf(func_def_77, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X3))).
% 0.91/0.58 thf(func_def_78, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X2))).
% 0.91/0.58 thf(func_def_79, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X5))).
% 0.91/0.58 thf(func_def_80, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X0))).
% 0.91/0.58 thf(func_def_81, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X4))).
% 0.91/0.58 thf(func_def_82, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X1))).
% 0.91/0.58 thf(func_def_83, type, sK32: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ ring_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_84, type, sK33: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ ring_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_85, type, sK34: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ ring_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_86, type, sK35: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ ring_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_87, type, sK36: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ ring_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_88, type, sK37: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0))).
% 0.91/0.58 thf(func_def_89, type, sK38: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0))).
% 0.91/0.58 thf(func_def_90, type, sK39: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0))).
% 0.91/0.58 thf(func_def_91, type, sK40: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0))).
% 0.91/0.58 thf(func_def_92, type, sK41: ((nat > $o) > nat)).
% 0.91/0.58 thf(func_def_93, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.91/0.58 thf(func_def_94, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.91/0.58 thf(func_def_95, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 0.91/0.58 thf(func_def_96, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 0.91/0.58 thf(func_def_97, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 0.91/0.58 thf(func_def_98, type, sK47: (a > a)).
% 0.91/0.58 thf(func_def_99, type, sK48: (a > a)).
% 0.91/0.58 thf(func_def_100, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X0))).
% 0.91/0.58 thf(func_def_101, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X3))).
% 0.91/0.58 thf(func_def_102, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X5))).
% 0.91/0.58 thf(func_def_103, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X1))).
% 0.91/0.58 thf(func_def_104, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X4))).
% 0.91/0.58 thf(func_def_105, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X2))).
% 0.91/0.58 thf(func_def_106, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X0 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X6))).
% 0.91/0.58 thf(func_def_107, type, sK56: (a > a)).
% 0.91/0.58 thf(func_def_108, type, sK57: (a > a)).
% 0.91/0.58 thf(func_def_109, type, sK58: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > X0 > X0))).
% 0.91/0.58 thf(func_def_110, type, sK59: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.91/0.58 thf(func_def_111, type, sK60: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.91/0.58 thf(func_def_112, type, sK61: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.91/0.58 thf(func_def_113, type, sK62: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.91/0.58 thf(func_def_114, type, sK63: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.91/0.58 thf(func_def_115, type, sK64: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.91/0.58 thf(func_def_116, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X2))).
% 0.91/0.58 thf(func_def_117, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X1))).
% 0.91/0.58 thf(func_def_118, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X0))).
% 0.91/0.58 thf(func_def_119, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X2 > $o) > X0))).
% 0.91/0.58 thf(func_def_120, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X2 > $o) > X2))).
% 0.91/0.58 thf(func_def_121, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X2 > $o) > X4))).
% 0.91/0.58 thf(func_def_122, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X2 > $o) > X1))).
% 0.91/0.58 thf(func_def_123, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ X2 > $o) > X3))).
% 0.91/0.58 thf(func_def_124, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X5 > X4))).
% 0.91/0.58 thf(func_def_125, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X5 > X1))).
% 0.91/0.58 thf(func_def_126, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X5 > X6))).
% 0.91/0.58 thf(func_def_127, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X5 > X2))).
% 0.91/0.58 thf(func_def_128, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X5 > X3))).
% 0.91/0.58 thf(func_def_129, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X5 > X5))).
% 0.91/0.58 thf(func_def_130, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X5 > X0))).
% 0.91/0.58 thf(func_def_131, type, sK80: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_132, type, sK81: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_133, type, sK82: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_134, type, sK83: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_135, type, sK84: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_136, type, sK85: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_137, type, sK86: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_138, type, sK87: a).
% 0.91/0.58 thf(func_def_139, type, sK88: !>[X0: $tType, X1: $tType]:((X1 > partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1))).
% 0.91/0.58 thf(func_def_140, type, sK89: !>[X0: $tType, X1: $tType]:((partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > X0))).
% 0.91/0.58 thf(func_def_141, type, sK90: a).
% 0.91/0.58 thf(func_def_142, type, vNOT: ($o > $o)).
% 0.91/0.58 thf(f5,axiom,(
% 0.91/0.58 ! [X2 : a,X0 : a,X3 : a,X1 : a] : ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel)) => ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X2 @ X3) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel)) => (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X0) @ (mult @ a @ ring_ext @ a @ b @ r @ X1 @ X2)) @ (mult @ a @ ring_ext @ a @ b @ r @ X1 @ X3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))))),
% 0.91/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_closed__rel__add)).
% 0.91/0.58 thf(f11,axiom,(
% 0.91/0.58 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))),
% 0.91/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_f5)).
% 0.91/0.58 thf(f12,axiom,(
% 0.91/0.58 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))),
% 0.91/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_f4)).
% 0.91/0.58 thf(f276,conjecture,(
% 0.91/0.58 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4)) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4))) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3))) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))),
% 0.91/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.91/0.58 thf(f277,negated_conjecture,(
% 0.91/0.58 ~(member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4)) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4))) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3))) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))),
% 0.91/0.58 inference(negated_conjecture,[status(cth)],[f276])).
% 0.91/0.58 thf(f476,plain,(
% 0.91/0.58 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))),
% 0.91/0.58 inference(rectify,[],[f12])).
% 0.91/0.58 thf(f477,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)),
% 0.91/0.58 inference(fool_elimination,[],[f476])).
% 0.91/0.58 thf(f526,plain,(
% 0.91/0.58 ! [X0 : a,X1 : a,X2 : a,X3 : a] : ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X3) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel)) => ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X2) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel)) => (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ X2 @ X1) @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X0)) @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X2)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))))),
% 0.91/0.58 inference(rectify,[],[f5])).
% 0.91/0.58 thf(f527,plain,(
% 0.91/0.58 ! [X1 : a,X2 : a,X3 : a,X0 : a] : ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X3) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true) => ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X2) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true) => (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ X2 @ X1) @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X0)) @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X2)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)))),
% 0.91/0.58 inference(fool_elimination,[],[f526])).
% 0.91/0.58 thf(f628,plain,(
% 0.91/0.58 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))),
% 0.91/0.58 inference(rectify,[],[f11])).
% 0.91/0.58 thf(f629,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)),
% 0.91/0.58 inference(fool_elimination,[],[f628])).
% 0.91/0.58 thf(f664,plain,(
% 0.91/0.58 ~(member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4)) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4))) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3))) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))),
% 0.91/0.58 inference(rectify,[],[f277])).
% 0.91/0.58 thf(f665,plain,(
% 0.91/0.58 ~ (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4)) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4))) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3))) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)),
% 0.91/0.58 inference(fool_elimination,[],[f664])).
% 0.91/0.58 thf(f756,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4)) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4))) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3))) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true)),
% 0.91/0.58 inference(flattening,[],[f665])).
% 0.91/0.58 thf(f889,plain,(
% 0.91/0.58 ! [X1 : a,X2 : a,X3 : a,X0 : a] : (((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ X2 @ X1) @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X0)) @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X2)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X2) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true)) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X3) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true))),
% 0.91/0.58 inference(ennf_transformation,[],[f527])).
% 0.91/0.58 thf(f890,plain,(
% 0.91/0.58 ! [X0 : a,X1 : a,X3 : a,X2 : a] : ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ X2 @ X1) @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X0)) @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X2)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X3) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X2) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true))),
% 0.91/0.58 inference(flattening,[],[f889])).
% 0.91/0.58 thf(f1207,plain,(
% 0.91/0.58 ! [X0 : a,X1 : a,X2 : a,X3 : a] : ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X1) @ (mult @ a @ ring_ext @ a @ b @ r @ X2 @ X0)) @ (mult @ a @ ring_ext @ a @ b @ r @ X2 @ X3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X2) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X3) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true))),
% 0.91/0.58 inference(rectify,[],[f890])).
% 0.91/0.58 thf(f1480,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)),
% 0.91/0.58 inference(cnf_transformation,[],[f629])).
% 0.91/0.58 thf(f1498,plain,(
% 0.91/0.58 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ X3 @ X1) @ (mult @ a @ ring_ext @ a @ b @ r @ X2 @ X0)) @ (mult @ a @ ring_ext @ a @ b @ r @ X2 @ X3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X3) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X2) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true)) )),
% 0.91/0.58 inference(cnf_transformation,[],[f1207])).
% 0.91/0.58 thf(f1581,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)),
% 0.91/0.58 inference(cnf_transformation,[],[f477])).
% 0.91/0.58 thf(f1620,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4)) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4))) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3))) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true)),
% 0.91/0.58 inference(cnf_transformation,[],[f756])).
% 0.91/0.58 thf(f1805,definition,(
% 0.91/0.58 spl91_21 <=> (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4)) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4))) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3))) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)),
% 0.91/0.58 introduced(definition,[new_symbols(definition,[spl91_21])],[avatar_definition])).
% 0.91/0.58 thf(f1807,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (add @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4)) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4))) @ (mult @ a @ ring_ext @ a @ b @ r @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3))) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | spl91_21),
% 0.91/0.58 inference(avatar_component_clause,[],[f1805])).
% 0.91/0.58 thf(f1808,plain,(
% 0.91/0.58 ~spl91_21),
% 0.91/0.58 inference(avatar_split_clause,[],[f1620,f1805])).
% 0.91/0.58 thf(f1814,definition,(
% 0.91/0.58 spl91_23 <=> (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)),
% 0.91/0.58 introduced(definition,[new_symbols(definition,[spl91_23])],[avatar_definition])).
% 0.91/0.58 thf(f1816,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true) | ~spl91_23),
% 0.91/0.58 inference(avatar_component_clause,[],[f1814])).
% 0.91/0.58 thf(f1817,plain,(
% 0.91/0.58 spl91_23),
% 0.91/0.58 inference(avatar_split_clause,[],[f1581,f1814])).
% 0.91/0.58 thf(f1838,definition,(
% 0.91/0.58 spl91_28 <=> (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true)),
% 0.91/0.58 introduced(definition,[new_symbols(definition,[spl91_28])],[avatar_definition])).
% 0.91/0.58 thf(f1840,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) = $true) | ~spl91_28),
% 0.91/0.58 inference(avatar_component_clause,[],[f1838])).
% 0.91/0.58 thf(f1841,plain,(
% 0.91/0.58 spl91_28),
% 0.91/0.58 inference(avatar_split_clause,[],[f1480,f1838])).
% 0.91/0.58 thf(f2986,plain,(
% 0.91/0.58 ($true != $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | spl91_21),
% 0.91/0.58 inference(superposition,[],[f1807,f1498])).
% 0.91/0.58 thf(f2987,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | spl91_21),
% 0.91/0.58 inference(trivial_inequality_removal,[],[f2986])).
% 0.91/0.58 thf(f2988,plain,(
% 0.91/0.58 (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r4) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)) @ (partial_carrier @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit @ rel))) != $true) | (spl91_21 | ~spl91_23)),
% 0.91/0.58 inference(forward_subsumption_resolution,[],[f2987,f1816])).
% 0.91/0.58 thf(f2989,plain,(
% 0.91/0.58 $false | (spl91_21 | ~spl91_23 | ~spl91_28)),
% 0.91/0.58 inference(forward_subsumption_resolution,[],[f2988,f1840])).
% 0.91/0.58 thf(f2990,plain,(
% 0.91/0.58 spl91_21 | ~spl91_23 | ~spl91_28),
% 0.91/0.58 inference(avatar_contradiction_clause,[],[f2989])).
% 0.91/0.58 cnf(s18, plain, ~spl91_21, inference(sat_conversion,[],[f1808])).
% 0.91/0.58 cnf(s20, plain, spl91_23, inference(sat_conversion,[],[f1817])).
% 0.91/0.58 cnf(s25, plain, spl91_28, inference(sat_conversion,[],[f1841])).
% 0.91/0.58 cnf(s143, plain, spl91_21 | ~spl91_23 | ~spl91_28, inference(sat_conversion,[],[f2990])).
% 0.91/0.58 cnf(s147, plain, spl91_21, inference(rat,[],[s143,s25,s20])).
% 0.91/0.58 cnf(s148, plain, $false, inference(rat,[],[s18,s147])).
% 0.91/0.58 thf(f2991,plain,(
% 0.91/0.58 $false),
% 0.91/0.58 inference(avatar_sat_refutation,[],[s148])).
% 0.91/0.58 % SZS output end Proof for theBenchmark
% 0.91/0.58 % (1759429)------------------------------
% 0.91/0.58 % (1759429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.58 % (1759429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.58 % (1759429)CaDiCaL version: 2.1.3
% 0.91/0.58 % (1759429)Termination reason: Refutation
% 0.91/0.58 % (1759429)Time elapsed: 0.172 s
% 0.91/0.58 % (1759429)Peak memory usage: 15 MB
% 0.91/0.58 % (1759429)Instructions burned: 376 (million)
% 0.91/0.58 % (1759421)Success in time 0.233 s
% 0.91/0.58 % Vampire exiting
%------------------------------------------------------------------------------