%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP040^2 : 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 : n016.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 08:08:04 AM UTC 2026
% Result : ContradictoryAxioms 1.13s 0.51s
% Output : Refutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP040^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n016.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:45:20 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.23/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.46 % (816930)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.30/0.46 % (816936)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4291227528:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.30/0.46 % (816937)lrs+10_16_si=on:nwc=1.5:random_seed=1785204583:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.30/0.46 % (816941)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=583373536:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.30/0.46 % (816937)Instruction limit reached!
% 0.30/0.46 % (816937)------------------------------
% 0.30/0.46 % (816937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.46 % (816937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.46 % (816937)CaDiCaL version: 2.1.3
% 0.30/0.46 % (816937)Termination reason: Instruction limit
% 0.30/0.46 % (816937)Termination phase: shuffling
% 0.30/0.46 % (816937)Time elapsed: 0.009 s
% 0.30/0.46 % (816937)Peak memory usage: 10 MB
% 0.30/0.46 % (816937)Instructions burned: 19 (million)
% 0.30/0.46 % (816942)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.30/0.46 % (816942)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.30/0.46 % (816938)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=708648070:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.30/0.46 % (816939)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=1381323083:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.30/0.46 % (816940)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=143621900:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.30/0.46 % (816942)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=1491524651:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.30/0.46 % (816936)Instruction limit reached!
% 0.30/0.46 % (816936)------------------------------
% 0.30/0.46 % (816936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.46 % (816936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.46 % (816936)CaDiCaL version: 2.1.3
% 0.30/0.46 % (816936)Termination reason: Instruction limit
% 0.30/0.46 % (816936)Termination phase: Preprocessing 3
% 0.30/0.46 % (816936)Time elapsed: 0.024 s
% 0.30/0.46 % (816936)Peak memory usage: 12 MB
% 0.30/0.46 % (816936)Instructions burned: 89 (million)
% 0.30/0.46 % (816938)Instruction limit reached!
% 0.30/0.46 % (816938)------------------------------
% 0.30/0.46 % (816938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.46 % (816938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.46 % (816938)CaDiCaL version: 2.1.3
% 0.30/0.46 % (816938)Termination reason: Instruction limit
% 0.30/0.46 % (816938)Termination phase: shuffling
% 0.30/0.46 % (816938)Time elapsed: 0.004 s
% 0.30/0.46 % (816938)Peak memory usage: 10 MB
% 0.30/0.46 % (816938)Instructions burned: 4 (million)
% 0.30/0.46 % (816946)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=685262988:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.30/0.46 % (816951)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3356346167:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.30/0.46 % (816940)Instruction limit reached!
% 0.30/0.46 % (816940)------------------------------
% 0.30/0.46 % (816940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.46 % (816940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.46 % (816940)CaDiCaL version: 2.1.3
% 0.30/0.46 % (816940)Termination reason: Instruction limit
% 0.30/0.46 % (816940)Termination phase: shuffling
% 0.30/0.46 % (816940)Time elapsed: 0.014 s
% 0.30/0.46 % (816940)Peak memory usage: 10 MB
% 0.30/0.46 % (816940)Instructions burned: 26 (million)
% 0.30/0.46 % (816946)Instruction limit reached!
% 1.13/0.51 % (816946)------------------------------
% 1.13/0.51 % (816946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816951)Instruction limit reached!
% 1.13/0.51 % (816951)------------------------------
% 1.13/0.51 % (816951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816946)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816946)Termination reason: Instruction limit
% 1.13/0.51 % (816946)Termination phase: shuffling
% 1.13/0.51 % (816951)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816946)Time elapsed: 0.002 s
% 1.13/0.51 % (816951)Termination reason: Instruction limit
% 1.13/0.51 % (816951)Termination phase: shuffling
% 1.13/0.51 % (816946)Peak memory usage: 10 MB
% 1.13/0.51 % (816951)Time elapsed: 0.002 s
% 1.13/0.51 % (816946)Instructions burned: 4 (million)
% 1.13/0.51 % (816951)Peak memory usage: 10 MB
% 1.13/0.51 % (816951)Instructions burned: 9 (million)
% 1.13/0.51 % (816952)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.13/0.51 % (816952)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2967411062:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.13/0.51 % (816941)Instruction limit reached!
% 1.13/0.51 % (816941)------------------------------
% 1.13/0.51 % (816941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816941)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816941)Termination reason: Instruction limit
% 1.13/0.51 % (816941)Termination phase: Preprocessing 1
% 1.13/0.51 % (816941)Time elapsed: 0.036 s
% 1.13/0.51 % (816941)Peak memory usage: 11 MB
% 1.13/0.51 % (816941)Instructions burned: 76 (million)
% 1.13/0.51 % (816955)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1428202738:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.13/0.51 % (816952)Instruction limit reached!
% 1.13/0.51 % (816952)------------------------------
% 1.13/0.51 % (816952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816952)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816952)Termination reason: Instruction limit
% 1.13/0.51 % (816952)Termination phase: shuffling
% 1.13/0.51 % (816952)Time elapsed: 0.004 s
% 1.13/0.51 % (816952)Peak memory usage: 10 MB
% 1.13/0.51 % (816952)Instructions burned: 7 (million)
% 1.13/0.51 % (816955)Instruction limit reached!
% 1.13/0.51 % (816955)------------------------------
% 1.13/0.51 % (816955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816955)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816955)Termination reason: Instruction limit
% 1.13/0.51 % (816955)Termination phase: shuffling
% 1.13/0.51 % (816955)Time elapsed: 0.003 s
% 1.13/0.51 % (816955)Peak memory usage: 10 MB
% 1.13/0.51 % (816955)Instructions burned: 14 (million)
% 1.13/0.51 % (816956)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.13/0.51 % (816956)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.13/0.51 % (816956)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=50167849:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.13/0.51 % (816957)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=2320237654:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.13/0.51 % (816962)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3887919049:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.13/0.51 % (816961)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.13/0.51 % (816959)lrs+10_1_si=on:cs=on:random_seed=2477778548:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.13/0.51 % (816961)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=217768087:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.13/0.51 % (816961)Instruction limit reached!
% 1.13/0.51 % (816961)------------------------------
% 1.13/0.51 % (816961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816961)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816961)Termination reason: Instruction limit
% 1.13/0.51 % (816961)Termination phase: shuffling
% 1.13/0.51 % (816961)Time elapsed: 0.002 s
% 1.13/0.51 % (816961)Peak memory usage: 10 MB
% 1.13/0.51 % (816961)Instructions burned: 3 (million)
% 1.13/0.51 % (816959)Instruction limit reached!
% 1.13/0.51 % (816959)------------------------------
% 1.13/0.51 % (816959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816959)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816959)Termination reason: Instruction limit
% 1.13/0.51 % (816959)Termination phase: shuffling
% 1.13/0.51 % (816959)Time elapsed: 0.004 s
% 1.13/0.51 % (816959)Peak memory usage: 10 MB
% 1.13/0.51 % (816959)Instructions burned: 8 (million)
% 1.13/0.51 % (816956)Instruction limit reached!
% 1.13/0.51 % (816956)------------------------------
% 1.13/0.51 % (816956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816956)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816956)Termination reason: Instruction limit
% 1.13/0.51 % (816956)Termination phase: shuffling
% 1.13/0.51 % (816956)Time elapsed: 0.014 s
% 1.13/0.51 % (816956)Peak memory usage: 11 MB
% 1.13/0.51 % (816956)Instructions burned: 30 (million)
% 1.13/0.51 % (816962)Instruction limit reached!
% 1.13/0.51 % (816962)------------------------------
% 1.13/0.51 % (816962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816962)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816962)Termination reason: Instruction limit
% 1.13/0.51 % (816962)Termination phase: shuffling
% 1.13/0.51 % (816962)Time elapsed: 0.010 s
% 1.13/0.51 % (816962)Peak memory usage: 11 MB
% 1.13/0.51 % (816962)Instructions burned: 40 (million)
% 1.13/0.51 % (816971)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3967966070:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.13/0.51 % (816970)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2353536356:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.13/0.51 % (816969)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1584711787:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.13/0.51 % (816957)Instruction limit reached!
% 1.13/0.51 % (816957)------------------------------
% 1.13/0.51 % (816957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816957)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816957)Termination reason: Instruction limit
% 1.13/0.51 % (816957)Termination phase: Preprocessing 1
% 1.13/0.51 % (816957)Time elapsed: 0.040 s
% 1.13/0.51 % (816957)Peak memory usage: 11 MB
% 1.13/0.51 % (816957)Instructions burned: 88 (million)
% 1.13/0.51 % (816970)Instruction limit reached!
% 1.13/0.51 % (816970)------------------------------
% 1.13/0.51 % (816970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816970)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816970)Termination reason: Instruction limit
% 1.13/0.51 % (816970)Termination phase: shuffling
% 1.13/0.51 % (816970)Time elapsed: 0.008 s
% 1.13/0.51 % (816970)Peak memory usage: 10 MB
% 1.13/0.51 % (816970)Instructions burned: 18 (million)
% 1.13/0.51 % (816968)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3089290050:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.13/0.51 % (816969)Instruction limit reached!
% 1.13/0.51 % (816969)------------------------------
% 1.13/0.51 % (816969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816969)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816969)Termination reason: Instruction limit
% 1.13/0.51 % (816969)Termination phase: shuffling
% 1.13/0.51 % (816969)Time elapsed: 0.015 s
% 1.13/0.51 % (816969)Peak memory usage: 10 MB
% 1.13/0.51 % (816969)Instructions burned: 31 (million)
% 1.13/0.51 % (816976)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2596246161:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.13/0.51 % (816977)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2391581005: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)
% 1.13/0.51 % (816977)Instruction limit reached!
% 1.13/0.51 % (816977)------------------------------
% 1.13/0.51 % (816977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816977)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816977)Termination reason: Instruction limit
% 1.13/0.51 % (816977)Termination phase: shuffling
% 1.13/0.51 % (816977)Time elapsed: 0.002 s
% 1.13/0.51 % (816977)Peak memory usage: 10 MB
% 1.13/0.51 % (816977)Instructions burned: 3 (million)
% 1.13/0.51 % (816979)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2825907654:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.13/0.51 % (816976)Instruction limit reached!
% 1.13/0.51 % (816976)------------------------------
% 1.13/0.51 % (816976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816976)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816976)Termination reason: Instruction limit
% 1.13/0.51 % (816976)Termination phase: shuffling
% 1.13/0.51 % (816976)Time elapsed: 0.008 s
% 1.13/0.51 % (816976)Peak memory usage: 10 MB
% 1.13/0.51 % (816976)Instructions burned: 16 (million)
% 1.13/0.51 % (816979)Instruction limit reached!
% 1.13/0.51 % (816979)------------------------------
% 1.13/0.51 % (816979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816979)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816979)Termination reason: Instruction limit
% 1.13/0.51 % (816979)Termination phase: shuffling
% 1.13/0.51 % (816979)Time elapsed: 0.013 s
% 1.13/0.51 % (816979)Peak memory usage: 10 MB
% 1.13/0.51 % (816979)Instructions burned: 26 (million)
% 1.13/0.51 % (816982)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1626864039:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.13/0.51 % (816971) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-816930-816971"...
% 1.13/0.51 % (816984)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=488569416:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.13/0.51 % (816971)...printing done.
% 1.13/0.51 % (816971)Refutation found. Thanks to Tanya!
% 1.13/0.51 % SZS status ContradictoryAxioms for theBenchmark
% 1.13/0.51 % SZS output start Proof for theBenchmark
% 1.13/0.51 thf(type_def_5, type, denota1663640101rp_ext: ($tType * $tType * $tType * $tType) > $tType).
% 1.13/0.51 thf(type_def_6, type, finite_Cartesian_vec: ($tType * $tType) > $tType).
% 1.13/0.51 thf(type_def_7, type, product_unit: $tType).
% 1.13/0.51 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 1.13/0.51 thf(type_def_9, type, formula: ($tType * $tType * $tType) > $tType).
% 1.13/0.51 thf(type_def_10, type, sum_sum: ($tType * $tType) > $tType).
% 1.13/0.51 thf(type_def_11, type, ode: ($tType * $tType) > $tType).
% 1.13/0.51 thf(type_def_12, type, real: $tType).
% 1.13/0.51 thf(type_def_13, type, set: $tType > $tType).
% 1.13/0.51 thf(type_def_14, type, d: $tType).
% 1.13/0.51 thf(type_def_15, type, c: $tType).
% 1.13/0.51 thf(type_def_16, type, b: $tType).
% 1.13/0.51 thf(type_def_17, type, a: $tType).
% 1.13/0.51 thf(type_def_18, type, sTfun: ($tType * $tType) > $tType).
% 1.13/0.51 thf(func_def_0, type, cARD_1: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_1, type, ordere890947078_space: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_2, type, type: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_3, type, zero: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_4, type, uminus: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_5, type, ord: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_6, type, order: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_7, type, group_add: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_8, type, finite_finite: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_9, type, linorder: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_10, type, preorder: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_11, type, boolean_algebra: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_12, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_13, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_14, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_15, type, lattic1601792062up_add: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_16, type, euclid1678468529ng_gcd: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_17, type, euclid1155270486miring: !>[X0: $tType]:($o)).
% 1.13/0.51 thf(func_def_18, type, coinci1993344360de_fml: !>[X0: $tType, X1: $tType, X2: $tType]:((formula @ X0 @ X1 @ X2 > $o))).
% 1.13/0.51 thf(func_def_19, type, denotational_ODE_sem: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > ode @ X0 @ X2 > finite_Cartesian_vec @ real @ X2 > finite_Cartesian_vec @ real @ X2))).
% 1.13/0.51 thf(func_def_20, type, denota811733865E_vars: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > ode @ X0 @ X2 > set @ X2))).
% 1.13/0.51 thf(func_def_21, type, denotational_VSagree: !>[X0: $tType]:((finite_Cartesian_vec @ real @ X0 > finite_Cartesian_vec @ real @ X0 > set @ X0 > $o))).
% 1.13/0.51 thf(func_def_22, type, denotational_Vagree: !>[X0: $tType]:((product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0 > product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0 > set @ sum_sum @ X0 @ X0 > $o))).
% 1.13/0.51 thf(func_def_23, type, denota1738237502rete_v: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > ode @ X0 @ X2 > product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 > finite_Cartesian_vec @ real @ X2 > product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2))).
% 1.13/0.51 thf(func_def_24, type, denota2028625979_v_rel: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit @ product_prod @ ode @ X0 @ X2 @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 > product_prod @ denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit @ product_prod @ ode @ X0 @ X2 @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 > $o))).
% 1.13/0.51 thf(func_def_25, type, denotational_fml_sem: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > formula @ X0 @ X1 @ X2 > set @ product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2))).
% 1.13/0.51 thf(func_def_26, type, denotational_mk_v: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > ode @ X0 @ X2 > product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 > finite_Cartesian_vec @ real @ X2 > product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2))).
% 1.13/0.51 thf(func_def_27, type, denotational_mk_xode: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > ode @ X0 @ X2 > finite_Cartesian_vec @ real @ X2 > product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2))).
% 1.13/0.51 thf(func_def_28, type, denotational_repd: !>[X0: $tType]:((product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0 > X0 > real > product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0))).
% 1.13/0.51 thf(func_def_29, type, denotational_repv: !>[X0: $tType]:((product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0 > X0 > real > product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0))).
% 1.13/0.51 thf(func_def_30, type, denotational_semBV: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > ode @ X0 @ X2 > set @ sum_sum @ X2 @ X2))).
% 1.13/0.51 thf(func_def_31, type, finite1614961371matrix: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > finite_Cartesian_vec @ finite_Cartesian_vec @ X0 @ X2 @ X3 > finite_Cartesian_vec @ finite_Cartesian_vec @ X1 @ X2 @ X3))).
% 1.13/0.51 thf(func_def_32, type, finite1990238425lambda: !>[X0: $tType, X1: $tType]:(((X0 > X1) > finite_Cartesian_vec @ X1 @ X0))).
% 1.13/0.51 thf(func_def_33, type, finite1433825200ec_nth: !>[X0: $tType, X1: $tType]:((finite_Cartesian_vec @ X0 @ X1 > X1 > X0))).
% 1.13/0.51 thf(func_def_34, type, pi: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ (X0 > X1)))).
% 1.13/0.51 thf(func_def_35, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 1.13/0.51 thf(func_def_36, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.13/0.51 thf(func_def_37, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.13/0.51 thf(func_def_38, type, initia1685620758es_ode: !>[X0: $tType]:(((real > X0) > (real > X0 > X0) > set @ real > set @ X0 > $o))).
% 1.13/0.51 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.13/0.51 thf(func_def_40, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.13/0.51 thf(func_def_41, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.13/0.51 thf(func_def_42, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.13/0.51 thf(func_def_43, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.13/0.51 thf(func_def_44, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.13/0.51 thf(func_def_45, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 1.13/0.51 thf(func_def_46, type, set_or331188842AtMost: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 1.13/0.51 thf(func_def_47, type, static_BVO: !>[X0: $tType, X1: $tType]:((ode @ X0 @ X1 > set @ sum_sum @ X1 @ X1))).
% 1.13/0.51 thf(func_def_48, type, static_FVF: !>[X0: $tType, X1: $tType, X2: $tType]:((formula @ X0 @ X1 @ X2 > set @ sum_sum @ X2 @ X2))).
% 1.13/0.51 thf(func_def_49, type, static_FVO: !>[X0: $tType, X1: $tType]:((ode @ X0 @ X1 > set @ X1))).
% 1.13/0.51 thf(func_def_50, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 1.13/0.51 thf(func_def_51, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 1.13/0.51 thf(func_def_52, type, equiv: !>[X0: $tType, X1: $tType, X2: $tType]:((formula @ X0 @ X1 @ X2 > formula @ X0 @ X1 @ X2 > formula @ X0 @ X1 @ X2))).
% 1.13/0.51 thf(func_def_53, type, fsafe: !>[X0: $tType, X1: $tType, X2: $tType]:((formula @ X0 @ X1 @ X2 > $o))).
% 1.13/0.51 thf(func_def_54, type, osafe: !>[X0: $tType, X1: $tType]:((ode @ X0 @ X1 > $o))).
% 1.13/0.51 thf(func_def_55, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 1.13/0.51 thf(func_def_56, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.13/0.51 thf(func_def_57, type, i: denota1663640101rp_ext @ a @ b @ c @ product_unit).
% 1.13/0.51 thf(func_def_58, type, ode2: ode @ a @ c).
% 1.13/0.51 thf(func_def_59, type, oDEa: ode @ a @ c).
% 1.13/0.51 thf(func_def_60, type, p: formula @ a @ b @ c).
% 1.13/0.51 thf(func_def_61, type, phi: formula @ a @ b @ c).
% 1.13/0.51 thf(func_def_62, type, aa: finite_Cartesian_vec @ real @ c).
% 1.13/0.51 thf(func_def_63, type, ab: finite_Cartesian_vec @ real @ c).
% 1.13/0.51 thf(func_def_64, type, ba: finite_Cartesian_vec @ real @ c).
% 1.13/0.51 thf(func_def_65, type, bb: finite_Cartesian_vec @ real @ c).
% 1.13/0.51 thf(func_def_66, type, i2: c).
% 1.13/0.51 thf(func_def_67, type, sol: (real > finite_Cartesian_vec @ real @ c)).
% 1.13/0.51 thf(func_def_68, type, t: real).
% 1.13/0.51 thf(func_def_69, type, x: real).
% 1.13/0.51 thf(func_def_73, type, db0: !>[X0: $tType]:(X0)).
% 1.13/0.51 thf(func_def_74, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.13/0.51 thf(func_def_75, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.13/0.51 thf(func_def_76, type, vIMP: ($o > $o > $o)).
% 1.13/0.51 thf(func_def_77, type, db1: !>[X0: $tType]:(X0)).
% 1.13/0.51 thf(func_def_78, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.13/0.51 thf(func_def_79, type, vAND: ($o > $o > $o)).
% 1.13/0.51 thf(func_def_80, type, vOR: ($o > $o > $o)).
% 1.13/0.51 thf(func_def_81, type, vNOT: ($o > $o)).
% 1.13/0.51 thf(func_def_82, type, db2: !>[X0: $tType]:(X0)).
% 1.13/0.51 thf(func_def_83, type, db3: !>[X0: $tType]:(X0)).
% 1.13/0.51 thf(func_def_84, type, db4: !>[X0: $tType]:(X0)).
% 1.13/0.51 thf(func_def_85, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.13/0.51 thf(func_def_86, type, sK0: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 1.13/0.51 thf(func_def_87, type, sK1: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 1.13/0.51 thf(func_def_88, type, sK2: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X1))).
% 1.13/0.51 thf(func_def_89, type, sK3: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X0))).
% 1.13/0.51 thf(func_def_90, type, sK4: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 1.13/0.51 thf(func_def_91, type, sK5: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 1.13/0.51 thf(func_def_92, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X1))).
% 1.13/0.51 thf(func_def_93, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X4))).
% 1.13/0.51 thf(func_def_94, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X2))).
% 1.13/0.51 thf(func_def_95, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X0))).
% 1.13/0.51 thf(func_def_96, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X3))).
% 1.13/0.51 thf(func_def_97, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X5 @ X0 > X0))).
% 1.13/0.51 thf(func_def_98, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X5 @ X0 > X3))).
% 1.13/0.51 thf(func_def_99, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X5 @ X0 > X2))).
% 1.13/0.51 thf(func_def_100, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X5 @ X0 > X4))).
% 1.13/0.51 thf(func_def_101, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X5 @ X0 > X5))).
% 1.13/0.51 thf(func_def_102, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X5 @ X0 > X1))).
% 1.13/0.51 thf(func_def_103, type, sK17: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.13/0.51 thf(func_def_104, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.13/0.51 thf(func_def_105, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ X3 > X3))).
% 1.13/0.51 thf(func_def_106, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ X3 > X4))).
% 1.13/0.51 thf(func_def_107, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ X3 > X5))).
% 1.13/0.51 thf(func_def_108, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ X3 > X0))).
% 1.13/0.51 thf(func_def_109, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ X3 > X2))).
% 1.13/0.51 thf(func_def_110, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ X3 > X6))).
% 1.13/0.51 thf(func_def_111, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ X3 > X1))).
% 1.13/0.51 thf(func_def_112, type, sK26: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X0))).
% 1.13/0.51 thf(func_def_113, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 1.13/0.51 thf(func_def_114, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > set @ X1 > X1))).
% 1.13/0.51 thf(func_def_115, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.13/0.51 thf(func_def_116, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > $o > (sum_sum @ X1 @ X2 > X0) > X1))).
% 1.13/0.51 thf(func_def_117, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > $o > (sum_sum @ X1 @ X2 > X0) > X2))).
% 1.13/0.51 thf(func_def_118, type, sK32: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 1.13/0.51 thf(func_def_119, type, sK33: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 1.13/0.51 thf(func_def_120, type, sK34: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.13/0.51 thf(func_def_121, type, sK35: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.13/0.51 thf(func_def_122, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 1.13/0.51 thf(func_def_123, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 1.13/0.51 thf(func_def_124, type, sK38: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.13/0.51 thf(func_def_125, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.13/0.51 thf(func_def_126, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X3))).
% 1.13/0.51 thf(func_def_127, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X2))).
% 1.13/0.51 thf(func_def_128, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X0))).
% 1.13/0.51 thf(func_def_129, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X1))).
% 1.13/0.51 thf(func_def_130, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X5))).
% 1.13/0.51 thf(func_def_131, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X4))).
% 1.13/0.51 thf(func_def_132, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 1.13/0.51 thf(func_def_133, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 1.13/0.51 thf(func_def_134, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 1.13/0.51 thf(func_def_135, type, sK49: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.13/0.51 thf(func_def_136, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.13/0.51 thf(func_def_137, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:((ode @ X0 @ X1 > finite_Cartesian_vec @ real @ X1 > product_prod @ finite_Cartesian_vec @ real @ X1 @ finite_Cartesian_vec @ real @ X1 > denota1663640101rp_ext @ X0 @ X2 @ X1 @ product_unit > product_prod @ finite_Cartesian_vec @ real @ X1 @ finite_Cartesian_vec @ real @ X1))).
% 1.13/0.51 thf(func_def_138, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X2))).
% 1.13/0.51 thf(func_def_139, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X0))).
% 1.13/0.51 thf(func_def_140, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X1))).
% 1.13/0.51 thf(func_def_141, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X1))).
% 1.13/0.51 thf(func_def_142, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X0))).
% 1.13/0.51 thf(func_def_143, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X3))).
% 1.13/0.51 thf(func_def_144, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X2))).
% 1.13/0.51 thf(func_def_145, type, sK59: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.13/0.51 thf(func_def_146, type, sK60: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > set @ X1) > X0))).
% 1.13/0.51 thf(func_def_147, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > set @ X0 > (X0 > set @ X1) > X0))).
% 1.13/0.51 thf(func_def_148, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X3 > $o) > X0))).
% 1.13/0.51 thf(func_def_149, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X3 > $o) > X4))).
% 1.13/0.51 thf(func_def_150, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X3 > $o) > X1))).
% 1.13/0.51 thf(func_def_151, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X3 > $o) > X2))).
% 1.13/0.51 thf(func_def_152, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X3 > $o) > X5))).
% 1.13/0.51 thf(func_def_153, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X3 > $o) > X3))).
% 1.13/0.51 thf(func_def_154, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X5 @ X3 > $o) > X6))).
% 1.13/0.51 thf(func_def_155, type, sK69: !>[X0: $tType, X1: $tType]:(((sum_sum @ X0 @ X1 > $o) > X0))).
% 1.13/0.51 thf(func_def_156, type, sK70: !>[X0: $tType, X1: $tType]:(((sum_sum @ X0 @ X1 > $o) > X1))).
% 1.13/0.51 thf(func_def_157, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > X1))).
% 1.13/0.51 thf(func_def_158, type, sK72: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 1.13/0.51 thf(func_def_159, type, sK73: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 1.13/0.51 thf(func_def_160, type, sK74: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X0))).
% 1.13/0.51 thf(func_def_161, type, sK75: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X1))).
% 1.13/0.51 thf(func_def_162, type, sK76: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 1.13/0.51 thf(func_def_163, type, sK77: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.13/0.51 thf(func_def_164, type, sK78: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > set @ X0) > set @ X1 > X1))).
% 1.13/0.51 thf(func_def_165, type, sK79: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.13/0.51 thf(func_def_166, type, sK80: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.13/0.51 thf(func_def_167, type, sK81: !>[X0: $tType]:((set @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.13/0.51 thf(func_def_168, type, sK82: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0) > set @ X1))).
% 1.13/0.51 thf(func_def_169, type, sK83: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.13/0.51 thf(func_def_170, type, sK84: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 1.13/0.51 thf(func_def_171, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X4))).
% 1.13/0.51 thf(func_def_172, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X1))).
% 1.13/0.51 thf(func_def_173, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X0))).
% 1.13/0.51 thf(func_def_174, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X3))).
% 1.13/0.51 thf(func_def_175, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X2))).
% 1.13/0.51 thf(func_def_176, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X3))).
% 1.13/0.51 thf(func_def_177, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X0))).
% 1.13/0.51 thf(func_def_178, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X1))).
% 1.13/0.51 thf(func_def_179, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X2))).
% 1.13/0.51 thf(func_def_180, type, sK94: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > X1))).
% 1.13/0.51 thf(func_def_181, type, sK95: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 1.13/0.51 thf(func_def_182, type, sK96: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 1.13/0.51 thf(func_def_183, type, sK97: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.13/0.51 thf(func_def_184, type, sK98: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > set @ X1 > X1))).
% 1.13/0.51 thf(func_def_185, type, sK99: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > set @ X1) > X0))).
% 1.13/0.51 thf(func_def_186, type, sK100: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > X1) > X0))).
% 1.13/0.51 thf(func_def_187, type, sK101: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.13/0.51 thf(func_def_188, type, sK102: !>[X0: $tType, X1: $tType]:((finite_Cartesian_vec @ X0 @ X1 > (X1 > X0) > X1))).
% 1.13/0.51 thf(func_def_189, type, sK103: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > set @ X1))).
% 1.13/0.51 thf(f1,axiom,(
% 1.13/0.51 ! [X2 : $tType,X1 : $tType,X0 : $tType,X6 : X0,X8 : ode @ X1 @ X0,X7 : denota1663640101rp_ext @ X1 @ X2 @ X0 @ product_unit] : ((member @ X0 @ X6 @ (denota811733865E_vars @ X1 @ X2 @ X0 @ X7 @ X8)) => (member @ X0 @ X6 @ (static_FVO @ X1 @ X0 @ X8)))),
% 1.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_ode__to__fvo)).
% 1.13/0.51 thf(f323,axiom,(
% 1.13/0.51 (member @ c @ i2 @ (denota811733865E_vars @ a @ b @ c @ i @ oDEa))),
% 1.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 1.13/0.51 thf(f324,axiom,(
% 1.13/0.51 ~(member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))),
% 1.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 1.13/0.51 thf(f497,plain,(
% 1.13/0.51 (member @ c @ i2 @ (denota811733865E_vars @ a @ b @ c @ i @ oDEa))),
% 1.13/0.51 inference(rectify,[],[f323])).
% 1.13/0.51 thf(f498,plain,(
% 1.13/0.51 (((member @ c @ i2 @ (denota811733865E_vars @ a @ b @ c @ i @ oDEa))) = $true)),
% 1.13/0.51 inference(fool_elimination,[],[f497])).
% 1.13/0.51 thf(f771,plain,(
% 1.13/0.51 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2,X4 : ode @ X1 @ X2,X5 : denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit] : ((member @ X2 @ X3 @ (denota811733865E_vars @ X1 @ X0 @ X2 @ X5 @ X4)) => (member @ X2 @ X3 @ (static_FVO @ X1 @ X2 @ X4)))),
% 1.13/0.51 inference(rectify,[],[f1])).
% 1.13/0.51 thf(f772,plain,(
% 1.13/0.51 ! [X2 : $tType,X1 : $tType,X0 : $tType,X3 : X2,X5 : denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit,X4 : ode @ X1 @ X2] : (($true = ((member @ X2 @ X3 @ (denota811733865E_vars @ X1 @ X0 @ X2 @ X5 @ X4)))) => (((member @ X2 @ X3 @ (static_FVO @ X1 @ X2 @ X4))) = $true))),
% 1.13/0.51 inference(fool_elimination,[],[f771])).
% 1.13/0.51 thf(f841,plain,(
% 1.13/0.51 ~(member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))),
% 1.13/0.51 inference(rectify,[],[f324])).
% 1.13/0.51 thf(f842,plain,(
% 1.13/0.51 ~ (((member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))) = $true)),
% 1.13/0.51 inference(fool_elimination,[],[f841])).
% 1.13/0.51 thf(f923,plain,(
% 1.13/0.51 (((member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))) != $true)),
% 1.13/0.51 inference(flattening,[],[f842])).
% 1.13/0.51 thf(f1104,plain,(
% 1.13/0.51 ! [X2 : $tType,X1 : $tType,X0 : $tType,X3 : X2,X5 : denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit,X4 : ode @ X1 @ X2] : ((((member @ X2 @ X3 @ (static_FVO @ X1 @ X2 @ X4))) = $true) | ($true != ((member @ X2 @ X3 @ (denota811733865E_vars @ X1 @ X0 @ X2 @ X5 @ X4)))))),
% 1.13/0.51 inference(ennf_transformation,[],[f772])).
% 1.13/0.51 thf(f1285,plain,(
% 1.13/0.51 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X0,X4 : denota1663640101rp_ext @ X1 @ X2 @ X0 @ product_unit,X5 : ode @ X1 @ X0] : ((((member @ X0 @ X3 @ (static_FVO @ X1 @ X0 @ X5))) = $true) | (((member @ X0 @ X3 @ (denota811733865E_vars @ X1 @ X2 @ X0 @ X4 @ X5))) != $true))),
% 1.13/0.51 inference(rectify,[],[f1104])).
% 1.13/0.51 thf(f1506,plain,(
% 1.13/0.51 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X0,X4 : denota1663640101rp_ext @ X1 @ X2 @ X0 @ product_unit,X5 : ode @ X1 @ X0] : ((((member @ X0 @ X3 @ (denota811733865E_vars @ X1 @ X2 @ X0 @ X4 @ X5))) != $true) | (((member @ X0 @ X3 @ (static_FVO @ X1 @ X0 @ X5))) = $true)) )),
% 1.13/0.51 inference(cnf_transformation,[],[f1285])).
% 1.13/0.51 thf(f1512,plain,(
% 1.13/0.51 (((member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))) != $true)),
% 1.13/0.51 inference(cnf_transformation,[],[f923])).
% 1.13/0.51 thf(f1656,plain,(
% 1.13/0.51 (((member @ c @ i2 @ (denota811733865E_vars @ a @ b @ c @ i @ oDEa))) = $true)),
% 1.13/0.51 inference(cnf_transformation,[],[f498])).
% 1.13/0.51 thf(f2139,definition,(
% 1.13/0.51 spl104_14 <=> (((member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))) = $true)),
% 1.13/0.51 introduced(definition,[new_symbols(definition,[spl104_14])],[avatar_definition])).
% 1.13/0.51 thf(f2141,plain,(
% 1.13/0.51 (((member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))) != $true) | spl104_14),
% 1.13/0.51 inference(avatar_component_clause,[],[f2139])).
% 1.13/0.51 thf(f2185,plain,(
% 1.13/0.51 ~spl104_14),
% 1.13/0.51 inference(avatar_split_clause,[],[f1512,f2139])).
% 1.13/0.51 thf(f2999,plain,(
% 1.13/0.51 ($true != $true) | (((member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))) = $true)),
% 1.13/0.51 inference(superposition,[],[f1506,f1656])).
% 1.13/0.51 thf(f3003,plain,(
% 1.13/0.51 (((member @ c @ i2 @ (static_FVO @ a @ c @ oDEa))) = $true)),
% 1.13/0.51 inference(trivial_inequality_removal,[],[f2999])).
% 1.13/0.51 thf(f3005,plain,(
% 1.13/0.51 $false | spl104_14),
% 1.13/0.51 inference(forward_subsumption_resolution,[],[f3003,f2141])).
% 1.13/0.51 thf(f3006,plain,(
% 1.13/0.51 spl104_14),
% 1.13/0.51 inference(avatar_contradiction_clause,[],[f3005])).
% 1.13/0.51 cnf(s18, plain, ~spl104_14, inference(sat_conversion,[],[f2185])).
% 1.13/0.51 cnf(s26, plain, spl104_14, inference(sat_conversion,[],[f3006])).
% 1.13/0.51 cnf(s28, plain, $false, inference(rat,[],[s18,s26])).
% 1.13/0.51 thf(f3007,plain,(
% 1.13/0.51 $false),
% 1.13/0.51 inference(avatar_sat_refutation,[],[s28])).
% 1.13/0.51 % SZS output end Proof for theBenchmark
% 1.13/0.51 % (816971)------------------------------
% 1.13/0.51 % (816971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.51 % (816971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.51 % (816971)CaDiCaL version: 2.1.3
% 1.13/0.51 % (816971)Termination reason: Refutation
% 1.13/0.51 % (816971)Time elapsed: 0.064 s
% 1.13/0.51 % (816971)Peak memory usage: 15 MB
% 1.13/0.51 % (816971)Instructions burned: 223 (million)
% 1.13/0.51 % (816930)Success in time 0.203 s
% 1.13/0.51 % Vampire exiting
%------------------------------------------------------------------------------