%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP166^2 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:38 AM UTC 2026
% Result : Theorem 0.29s 0.46s
% Output : Refutation 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP166^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:04:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.19/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.45 % (2138374)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.29/0.45 % (2138383)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=480090729:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.29/0.45 % (2138385)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.29/0.45 % (2138385)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
% 0.29/0.45 % (2138383)Instruction limit reached!
% 0.29/0.45 % (2138383)------------------------------
% 0.29/0.45 % (2138383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.45 % (2138383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.45 % (2138383)CaDiCaL version: 2.1.3
% 0.29/0.45 % (2138383)Termination reason: Instruction limit
% 0.29/0.45 % (2138383)Termination phase: shuffling
% 0.29/0.45 % (2138383)Time elapsed: 0.006 s
% 0.29/0.45 % (2138383)Peak memory usage: 10 MB
% 0.29/0.45 % (2138383)Instructions burned: 24 (million)
% 0.29/0.45 % (2138379)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2811886613:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.29/0.45 % (2138380)lrs+10_16_si=on:nwc=1.5:random_seed=2168779625:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.29/0.45 % (2138381)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4031292214:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.29/0.45 % (2138382)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=1948149971: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)
% 0.29/0.45 % (2138385)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=2851956080:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.29/0.45 % (2138381)Instruction limit reached!
% 0.29/0.45 % (2138381)------------------------------
% 0.29/0.45 % (2138381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.45 % (2138381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.45 % (2138381)CaDiCaL version: 2.1.3
% 0.29/0.45 % (2138381)Termination reason: Instruction limit
% 0.29/0.45 % (2138381)Termination phase: shuffling
% 0.29/0.45 % (2138381)Time elapsed: 0.002 s
% 0.29/0.45 % (2138381)Peak memory usage: 10 MB
% 0.29/0.45 % (2138381)Instructions burned: 3 (million)
% 0.29/0.45 % (2138380)Instruction limit reached!
% 0.29/0.45 % (2138380)------------------------------
% 0.29/0.45 % (2138380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.45 % (2138380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.45 % (2138380)CaDiCaL version: 2.1.3
% 0.29/0.45 % (2138380)Termination reason: Instruction limit
% 0.29/0.45 % (2138380)Termination phase: shuffling
% 0.29/0.45 % (2138380)Time elapsed: 0.008 s
% 0.29/0.45 % (2138380)Peak memory usage: 10 MB
% 0.29/0.45 % (2138380)Instructions burned: 18 (million)
% 0.29/0.45 % (2138392)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=531387189:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.29/0.45 % (2138392)Instruction limit reached!
% 0.29/0.45 % (2138392)------------------------------
% 0.29/0.45 % (2138392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.45 % (2138392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.45 % (2138392)CaDiCaL version: 2.1.3
% 0.29/0.45 % (2138392)Termination reason: Instruction limit
% 0.29/0.45 % (2138392)Termination phase: shuffling
% 0.29/0.45 % (2138392)Time elapsed: 0.001 s
% 0.29/0.45 % (2138392)Peak memory usage: 10 MB
% 0.29/0.45 % (2138392)Instructions burned: 3 (million)
% 0.29/0.45 % (2138384)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=823978588:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.29/0.45 % (2138393)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=692014375:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.29/0.46 % (2138394)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.29/0.46 % (2138397)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2735539673:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.29/0.46 % (2138393)Instruction limit reached!
% 0.29/0.46 % (2138393)------------------------------
% 0.29/0.46 % (2138393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138393)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138393)Termination reason: Instruction limit
% 0.29/0.46 % (2138393)Termination phase: shuffling
% 0.29/0.46 % (2138393)Time elapsed: 0.003 s
% 0.29/0.46 % (2138393)Peak memory usage: 10 MB
% 0.29/0.46 % (2138393)Instructions burned: 6 (million)
% 0.29/0.46 % (2138397)Instruction limit reached!
% 0.29/0.46 % (2138397)------------------------------
% 0.29/0.46 % (2138397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138397)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138397)Termination reason: Instruction limit
% 0.29/0.46 % (2138397)Termination phase: shuffling
% 0.29/0.46 % (2138397)Time elapsed: 0.003 s
% 0.29/0.46 % (2138397)Peak memory usage: 10 MB
% 0.29/0.46 % (2138397)Instructions burned: 12 (million)
% 0.29/0.46 % (2138394)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2134101975:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.29/0.46 % (2138394)Instruction limit reached!
% 0.29/0.46 % (2138394)------------------------------
% 0.29/0.46 % (2138394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138394)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138394)Termination reason: Instruction limit
% 0.29/0.46 % (2138394)Termination phase: shuffling
% 0.29/0.46 % (2138394)Time elapsed: 0.004 s
% 0.29/0.46 % (2138394)Peak memory usage: 10 MB
% 0.29/0.46 % (2138394)Instructions burned: 8 (million)
% 0.29/0.46 % (2138402)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=1199130093:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.29/0.46 % (2138400)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
% 0.29/0.46 % (2138400)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.29/0.46 % (2138379)Instruction limit reached!
% 0.29/0.46 % (2138379)------------------------------
% 0.29/0.46 % (2138379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138379)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138379)Termination reason: Instruction limit
% 0.29/0.46 % (2138379)Termination phase: Property scanning
% 0.29/0.46 % (2138379)Time elapsed: 0.041 s
% 0.29/0.46 % (2138379)Peak memory usage: 12 MB
% 0.29/0.46 % (2138379)Instructions burned: 87 (million)
% 0.29/0.46 % (2138400)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1339421119:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.29/0.46 % (2138403)lrs+10_1_si=on:cs=on:random_seed=2722565613:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.29/0.46 % (2138403)Instruction limit reached!
% 0.29/0.46 % (2138403)------------------------------
% 0.29/0.46 % (2138403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138403)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138403)Termination reason: Instruction limit
% 0.29/0.46 % (2138403)Termination phase: shuffling
% 0.29/0.46 % (2138403)Time elapsed: 0.004 s
% 0.29/0.46 % (2138403)Peak memory usage: 10 MB
% 0.29/0.46 % (2138403)Instructions burned: 8 (million)
% 0.29/0.46 % (2138405)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.29/0.46 % (2138402)Instruction limit reached!
% 0.29/0.46 % (2138402)------------------------------
% 0.29/0.46 % (2138402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138402)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138402)Termination reason: Instruction limit
% 0.29/0.46 % (2138402)Termination phase: Preprocessing 1
% 0.29/0.46 % (2138402)Time elapsed: 0.021 s
% 0.29/0.46 % (2138402)Peak memory usage: 11 MB
% 0.29/0.46 % (2138402)Instructions burned: 89 (million)
% 0.29/0.46 % (2138400)Instruction limit reached!
% 0.29/0.46 % (2138400)------------------------------
% 0.29/0.46 % (2138400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138400)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138400)Termination reason: Instruction limit
% 0.29/0.46 % (2138400)Termination phase: shuffling
% 0.29/0.46 % (2138400)Time elapsed: 0.014 s
% 0.29/0.46 % (2138400)Peak memory usage: 11 MB
% 0.29/0.46 % (2138400)Instructions burned: 30 (million)
% 0.29/0.46 % (2138405)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=1386692163:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.29/0.46 % (2138405)Instruction limit reached!
% 0.29/0.46 % (2138405)------------------------------
% 0.29/0.46 % (2138405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138405)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138405)Termination reason: Instruction limit
% 0.29/0.46 % (2138405)Termination phase: shuffling
% 0.29/0.46 % (2138405)Time elapsed: 0.002 s
% 0.29/0.46 % (2138405)Peak memory usage: 10 MB
% 0.29/0.46 % (2138405)Instructions burned: 3 (million)
% 0.29/0.46 % (2138409)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1345461033:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.29/0.46 % (2138385)Instruction limit reached!
% 0.29/0.46 % (2138385)------------------------------
% 0.29/0.46 % (2138385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138385)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138385)Termination reason: Instruction limit
% 0.29/0.46 % (2138385)Termination phase: Saturation
% 0.29/0.46 % (2138385)Time elapsed: 0.072 s
% 0.29/0.46 % (2138385)Peak memory usage: 14 MB
% 0.29/0.46 % (2138385)Instructions burned: 158 (million)
% 0.29/0.46 % (2138408)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=781589485:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.29/0.46 % (2138384)Instruction limit reached!
% 0.29/0.46 % (2138384)------------------------------
% 0.29/0.46 % (2138384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138384)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138384)Termination reason: Instruction limit
% 0.29/0.46 % (2138384)Termination phase: Preprocessing 3
% 0.29/0.46 % (2138384)Time elapsed: 0.063 s
% 0.29/0.46 % (2138384)Peak memory usage: 12 MB
% 0.29/0.46 % (2138384)Instructions burned: 76 (million)
% 0.29/0.46 % (2138410)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4200790308:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.29/0.46 % (2138412)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=180143889:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.29/0.46 % (2138412)Instruction limit reached!
% 0.29/0.46 % (2138412)------------------------------
% 0.29/0.46 % (2138412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138412)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138412)Termination reason: Instruction limit
% 0.29/0.46 % (2138412)Termination phase: shuffling
% 0.29/0.46 % (2138412)Time elapsed: 0.008 s
% 0.29/0.46 % (2138412)Peak memory usage: 10 MB
% 0.29/0.46 % (2138412)Instructions burned: 17 (million)
% 0.29/0.46 % (2138410)Instruction limit reached!
% 0.29/0.46 % (2138410)------------------------------
% 0.29/0.46 % (2138410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138410)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138410)Termination reason: Instruction limit
% 0.29/0.46 % (2138410)Termination phase: shuffling
% 0.29/0.46 % (2138410)Time elapsed: 0.012 s
% 0.29/0.46 % (2138410)Peak memory usage: 10 MB
% 0.29/0.46 % (2138410)Instructions burned: 27 (million)
% 0.29/0.46 % (2138408)Instruction limit reached!
% 0.29/0.46 % (2138408)------------------------------
% 0.29/0.46 % (2138408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138408)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138408)Termination reason: Instruction limit
% 0.29/0.46 % (2138408)Termination phase: Property scanning
% 0.29/0.46 % (2138408)Time elapsed: 0.017 s
% 0.29/0.46 % (2138408)Peak memory usage: 11 MB
% 0.29/0.46 % (2138408)Instructions burned: 38 (million)
% 0.29/0.46 % (2138415)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=647416874:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.29/0.46 % (2138382) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2138374-2138382"...
% 0.29/0.46 % (2138382)...printing done.
% 0.29/0.46 % (2138382)Refutation found. Thanks to Tanya!
% 0.29/0.46 % SZS status Theorem for theBenchmark
% 0.29/0.46 % SZS output start Proof for theBenchmark
% 0.29/0.46 thf(type_def_5, type, tuple_isomorphism: ($tType * $tType * $tType) > $tType).
% 0.29/0.46 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 0.29/0.46 thf(type_def_7, type, typerep: $tType).
% 0.29/0.46 thf(type_def_8, type, literal: $tType).
% 0.29/0.46 thf(type_def_9, type, sum_sum: ($tType * $tType) > $tType).
% 0.29/0.46 thf(type_def_10, type, option: $tType > $tType).
% 0.29/0.46 thf(type_def_11, type, char: $tType).
% 0.29/0.46 thf(type_def_12, type, list: $tType > $tType).
% 0.29/0.46 thf(type_def_13, type, bexp: $tType).
% 0.29/0.46 thf(type_def_14, type, aexp: $tType).
% 0.29/0.46 thf(type_def_15, type, set: $tType > $tType).
% 0.29/0.46 thf(type_def_16, type, nat: $tType).
% 0.29/0.46 thf(type_def_17, type, int: $tType).
% 0.29/0.46 thf(type_def_18, type, com: $tType).
% 0.29/0.46 thf(type_def_19, type, sTfun: ($tType * $tType) > $tType).
% 0.29/0.46 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_3, type, neg_numeral: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_5, type, monoid_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_6, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_7, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_8, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_9, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_10, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_11, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_12, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_13, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_14, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_15, type, semiri456707255roduct: !>[X0: $tType]:($o)).
% 0.29/0.46 thf(func_def_16, type, bval: (bexp > (list @ char > int) > $o)).
% 0.29/0.46 thf(func_def_17, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 0.29/0.46 thf(func_def_18, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 0.29/0.46 thf(func_def_19, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 0.29/0.46 thf(func_def_20, type, bNF_Greatest_image2p: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X0 > X2 > $o) > X1 > X3 > $o))).
% 0.29/0.46 thf(func_def_21, type, bNF_Gr1317331620lImage: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > set @ product_prod @ X1 @ X1))).
% 0.29/0.46 thf(func_def_22, type, bNF_Gr2107612801vImage: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > set @ product_prod @ X0 @ X0))).
% 0.29/0.46 thf(func_def_23, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 0.29/0.46 thf(func_def_24, type, basic_BNF_size_sum: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > sum_sum @ X0 @ X1 > nat))).
% 0.29/0.46 thf(func_def_25, type, big_big_step: (product_prod @ com @ (list @ char > int) > (list @ char > int) > $o)).
% 0.29/0.46 thf(func_def_26, type, assign: (list @ char > aexp > com)).
% 0.29/0.46 thf(func_def_27, type, if: (bexp > com > com > com)).
% 0.29/0.46 thf(func_def_28, type, skip: com).
% 0.29/0.46 thf(func_def_29, type, seq: (com > com > com)).
% 0.29/0.46 thf(func_def_30, type, while: (bexp > com > com)).
% 0.29/0.46 thf(func_def_31, type, size_com: (com > nat)).
% 0.29/0.46 thf(func_def_32, type, unique455577585es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 0.29/0.46 thf(func_def_33, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.29/0.46 thf(func_def_34, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_35, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.29/0.46 thf(func_def_36, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 0.29/0.46 thf(func_def_37, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 0.29/0.46 thf(func_def_38, type, lexn: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > nat > set @ product_prod @ list @ X0 @ list @ X0))).
% 0.29/0.46 thf(func_def_39, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 0.29/0.46 thf(func_def_40, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.29/0.46 thf(func_def_41, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 0.29/0.46 thf(func_def_42, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 0.29/0.46 thf(func_def_43, type, set_Cons: !>[X0: $tType]:((set @ X0 > set @ list @ X0 > set @ list @ X0))).
% 0.29/0.46 thf(func_def_44, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.29/0.46 thf(func_def_45, type, suc: (nat > nat)).
% 0.29/0.46 thf(func_def_46, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.29/0.46 thf(func_def_47, type, none: !>[X0: $tType]:(option @ X0)).
% 0.29/0.46 thf(func_def_48, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 0.29/0.46 thf(func_def_49, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 0.29/0.46 thf(func_def_50, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 0.29/0.46 thf(func_def_51, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.29/0.46 thf(func_def_52, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.29/0.46 thf(func_def_53, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.29/0.46 thf(func_def_54, type, tuple_742722141rphism: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > product_prod @ X1 @ X2) > (product_prod @ X1 @ X2 > X0) > tuple_isomorphism @ X0 @ X1 @ X2))).
% 0.29/0.46 thf(func_def_55, type, tuple_1907371454rphism: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > nat) > (X1 > nat) > (X2 > nat) > tuple_isomorphism @ X0 @ X1 @ X2 > nat))).
% 0.29/0.46 thf(func_def_56, type, relati1716060877e_flip: (((list @ char > int) > (list @ char > int) > $o) > (list @ char > int) > (list @ char > int) > $o)).
% 0.29/0.46 thf(func_def_57, type, relati1010904253t_back: !>[X0: $tType]:((((list @ char > int) > X0 > $o) > bexp > com > nat > (list @ char > int) > X0 > $o))).
% 0.29/0.46 thf(func_def_58, type, relati1493963588_hoare: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > $o)).
% 0.29/0.46 thf(func_def_59, type, relati167478067_valid: (((list @ char > int) > (list @ char > int) > $o) > com > com > ((list @ char > int) > (list @ char > int) > $o) > $o)).
% 0.29/0.46 thf(func_def_60, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.29/0.46 thf(func_def_61, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 0.29/0.46 thf(func_def_62, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 0.29/0.46 thf(func_def_63, type, typerep2: (literal > list @ typerep > typerep)).
% 0.29/0.46 thf(func_def_64, type, size_typerep: (typerep > nat)).
% 0.29/0.46 thf(func_def_65, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.29/0.46 thf(func_def_66, type, p: ((list @ char > int) > (list @ char > int) > $o)).
% 0.29/0.46 thf(func_def_67, type, q: ((list @ char > int) > (list @ char > int) > $o)).
% 0.29/0.46 thf(func_def_68, type, b: bexp).
% 0.29/0.46 thf(func_def_69, type, c: com).
% 0.29/0.46 thf(func_def_70, type, c2: com).
% 0.29/0.46 thf(func_def_71, type, k: nat).
% 0.29/0.46 thf(func_def_72, type, ka: nat).
% 0.29/0.46 thf(func_def_73, type, s: (list @ char > int)).
% 0.29/0.46 thf(func_def_74, type, s_a: (list @ char > int)).
% 0.29/0.46 thf(func_def_75, type, s2: (list @ char > int)).
% 0.29/0.46 thf(func_def_76, type, sa: (list @ char > int)).
% 0.29/0.46 thf(func_def_77, type, t: (list @ char > int)).
% 0.29/0.46 thf(func_def_78, type, t_a: (list @ char > int)).
% 0.29/0.46 thf(func_def_79, type, t2: (list @ char > int)).
% 0.29/0.46 thf(func_def_80, type, ta: (list @ char > int)).
% 0.29/0.46 thf(func_def_81, type, u: (list @ char > int)).
% 0.29/0.46 thf(func_def_82, type, ua: (list @ char > int)).
% 0.29/0.46 thf(func_def_86, type, vAND: ($o > $o > $o)).
% 0.29/0.46 thf(func_def_87, type, db1: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_88, type, db0: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_89, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.29/0.46 thf(func_def_90, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.29/0.46 thf(func_def_91, type, db3: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_92, type, db4: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_93, type, db2: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_94, type, db5: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_95, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.29/0.46 thf(func_def_96, type, db6: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_97, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.29/0.46 thf(func_def_98, type, vIMP: ($o > $o > $o)).
% 0.29/0.46 thf(func_def_99, type, db7: !>[X0: $tType]:(X0)).
% 0.29/0.46 thf(func_def_100, type, vNOT: ($o > $o)).
% 0.29/0.46 thf(func_def_101, type, vOR: ($o > $o > $o)).
% 0.29/0.46 thf(func_def_102, type, sP0: ((com > $o) > $o)).
% 0.29/0.46 thf(func_def_103, type, sK1: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_104, type, sK2: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_105, type, sK3: (nat > nat)).
% 0.29/0.46 thf(func_def_106, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > $o) > (X1 > X0) > X1))).
% 0.29/0.46 thf(func_def_107, type, sK5: (com > (nat > (list @ char > int) > (list @ char > int) > $o) > bexp > nat)).
% 0.29/0.46 thf(func_def_108, type, sK6: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_109, type, sK7: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_110, type, sK8: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_111, type, sK9: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_112, type, sK10: ((com > $o) > com)).
% 0.29/0.46 thf(func_def_113, type, sK11: ((com > $o) > bexp)).
% 0.29/0.46 thf(func_def_114, type, sK12: ((com > $o) > com)).
% 0.29/0.46 thf(func_def_115, type, sK13: ((com > $o) > com)).
% 0.29/0.46 thf(func_def_116, type, sK14: ((com > $o) > com)).
% 0.29/0.46 thf(func_def_117, type, sK15: ((com > $o) > bexp)).
% 0.29/0.46 thf(func_def_118, type, sK16: ((com > $o) > com)).
% 0.29/0.46 thf(func_def_119, type, sK17: ((com > $o) > list @ char)).
% 0.29/0.46 thf(func_def_120, type, sK18: ((com > $o) > aexp)).
% 0.29/0.46 thf(func_def_121, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X3 > X3))).
% 0.29/0.46 thf(func_def_122, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X3 > X0))).
% 0.29/0.46 thf(func_def_123, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X3 > X1))).
% 0.29/0.46 thf(func_def_124, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X3 > X4))).
% 0.29/0.46 thf(func_def_125, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X3 > X2))).
% 0.29/0.46 thf(func_def_126, type, sK24: (com > com)).
% 0.29/0.46 thf(func_def_127, type, sK25: (com > com)).
% 0.29/0.46 thf(func_def_128, type, sK26: (com > com)).
% 0.29/0.46 thf(func_def_129, type, sK27: (com > com)).
% 0.29/0.46 thf(func_def_130, type, sK28: (com > bexp)).
% 0.29/0.46 thf(func_def_131, type, sK29: (com > bexp)).
% 0.29/0.46 thf(func_def_132, type, sK30: (com > com)).
% 0.29/0.46 thf(func_def_133, type, sK31: (com > aexp)).
% 0.29/0.46 thf(func_def_134, type, sK32: (com > list @ char)).
% 0.29/0.46 thf(func_def_135, type, sK33: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.29/0.46 thf(func_def_136, type, sK34: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.29/0.46 thf(func_def_137, type, sK35: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat > X0))).
% 0.29/0.46 thf(func_def_138, type, sK36: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 0.29/0.46 thf(func_def_139, type, sK37: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 0.29/0.46 thf(func_def_140, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X6))).
% 0.29/0.46 thf(func_def_141, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X5))).
% 0.29/0.46 thf(func_def_142, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X3))).
% 0.29/0.46 thf(func_def_143, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X4))).
% 0.29/0.46 thf(func_def_144, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X0))).
% 0.29/0.46 thf(func_def_145, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X1))).
% 0.29/0.46 thf(func_def_146, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X0 @ X5 > $o) > X2))).
% 0.29/0.46 thf(func_def_147, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X3))).
% 0.29/0.46 thf(func_def_148, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X2))).
% 0.29/0.46 thf(func_def_149, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X0))).
% 0.29/0.46 thf(func_def_150, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X1))).
% 0.29/0.46 thf(func_def_151, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X2 > (X3 > X2) > (X3 > X1 > $o) > (X1 > X0) > X0 > X3))).
% 0.29/0.46 thf(func_def_152, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X2 > (X3 > X2) > (X3 > X1 > $o) > (X1 > X0) > X0 > X1))).
% 0.29/0.46 thf(func_def_153, type, sK51: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 0.29/0.46 thf(func_def_154, type, sK52: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 0.29/0.46 thf(func_def_155, type, sK53: !>[X0: $tType]:((nat > list @ X0))).
% 0.29/0.46 thf(func_def_156, type, sK54: (com > bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > nat)).
% 0.29/0.46 thf(func_def_157, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X0))).
% 0.29/0.46 thf(func_def_158, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X2))).
% 0.29/0.46 thf(func_def_159, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X1))).
% 0.29/0.46 thf(func_def_160, type, sK58: (com > (list @ char > int) > (list @ char > int) > bexp > list @ char > int)).
% 0.29/0.46 thf(func_def_161, type, sK59: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_162, type, sK60: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_163, type, sK61: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_164, type, sK62: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_165, type, sK63: ((nat > $o) > nat)).
% 0.29/0.46 thf(func_def_166, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 0.29/0.46 thf(func_def_167, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 0.29/0.46 thf(func_def_168, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 0.29/0.46 thf(func_def_169, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 0.29/0.46 thf(func_def_170, type, sK68: ((list @ char > int) > (list @ char > int) > list @ char > int)).
% 0.29/0.46 thf(func_def_171, type, sK69: ((list @ char > int) > (list @ char > int) > list @ char > int)).
% 0.29/0.46 thf(func_def_172, type, sK70: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.29/0.46 thf(func_def_173, type, sK71: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.29/0.46 thf(func_def_174, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ X0 > $o) > X2))).
% 0.29/0.46 thf(func_def_175, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ X0 > $o) > X0))).
% 0.29/0.46 thf(func_def_176, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ X0 > $o) > X4))).
% 0.29/0.46 thf(func_def_177, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ X0 > $o) > X3))).
% 0.29/0.46 thf(func_def_178, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ X0 > $o) > X5))).
% 0.29/0.46 thf(func_def_179, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ X0 > $o) > X1))).
% 0.29/0.46 thf(func_def_180, type, sK78: !>[X0: $tType]:((option @ X0 > (X0 > $o) > X0))).
% 0.29/0.46 thf(func_def_181, type, sK79: ((nat > $o) > nat)).
% 0.29/0.46 thf(func_def_182, type, sK80: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_183, type, sK81: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_184, type, sK82: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 0.29/0.46 thf(func_def_185, type, sK83: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 0.29/0.46 thf(func_def_186, type, sK84: ((nat > $o) > nat)).
% 0.29/0.46 thf(func_def_187, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X0))).
% 0.29/0.46 thf(func_def_188, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X2))).
% 0.29/0.46 thf(func_def_189, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X1))).
% 0.29/0.46 thf(func_def_190, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X4))).
% 0.29/0.46 thf(func_def_191, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ X3 > $o) > X3))).
% 0.29/0.46 thf(func_def_192, type, sK90: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_193, type, sK91: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_194, type, sK92: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_195, type, sK93: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_196, type, sK94: ((nat > nat > $o) > nat)).
% 0.29/0.46 thf(func_def_197, type, sK95: (bexp > com > (nat > (list @ char > int) > (list @ char > int) > $o) > com > ((list @ char > int) > (list @ char > int) > $o) > nat > list @ char > int)).
% 0.29/0.46 thf(func_def_198, type, sK96: (bexp > com > (nat > (list @ char > int) > (list @ char > int) > $o) > com > ((list @ char > int) > (list @ char > int) > $o) > nat > list @ char > int)).
% 0.29/0.46 thf(func_def_199, type, sK97: (bexp > com > (nat > (list @ char > int) > (list @ char > int) > $o) > com > (list @ char > int) > nat > (list @ char > int) > list @ char > int)).
% 0.29/0.46 thf(func_def_200, type, sK98: (bexp > com > (nat > (list @ char > int) > (list @ char > int) > $o) > com > (list @ char > int) > nat > (list @ char > int) > list @ char > int)).
% 0.29/0.46 thf(func_def_201, type, sK99: (bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > nat > list @ char > int)).
% 0.29/0.46 thf(func_def_202, type, sK100: (bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > nat > list @ char > int)).
% 0.29/0.46 thf(func_def_203, type, sK101: (bexp > (nat > (list @ char > int) > (list @ char > int) > $o) > com > nat > nat)).
% 0.29/0.46 thf(func_def_204, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 0.29/0.46 thf(func_def_205, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 0.29/0.46 thf(func_def_206, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 0.29/0.46 thf(func_def_207, type, sK105: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 0.29/0.46 thf(func_def_208, type, sK106: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 0.29/0.46 thf(func_def_209, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X0 > X0))).
% 0.29/0.46 thf(func_def_210, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X0 > X5))).
% 0.29/0.46 thf(func_def_211, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X0 > X1))).
% 0.29/0.46 thf(func_def_212, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X0 > X3))).
% 0.29/0.46 thf(func_def_213, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X0 > X4))).
% 0.29/0.46 thf(func_def_214, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X0 > X2))).
% 0.29/0.46 thf(func_def_215, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X5 > X3))).
% 0.29/0.46 thf(func_def_216, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X5 > X4))).
% 0.29/0.46 thf(func_def_217, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X5 > X6))).
% 0.29/0.46 thf(func_def_218, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X5 > X5))).
% 0.29/0.46 thf(func_def_219, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X5 > X2))).
% 0.29/0.46 thf(func_def_220, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X5 > X0))).
% 0.29/0.46 thf(func_def_221, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X5 > X1))).
% 0.29/0.46 thf(func_def_222, type, sK120: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > set @ product_prod @ X0 @ X0 > list @ X0))).
% 0.29/0.46 thf(func_def_223, type, sK121: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 0.29/0.46 thf(func_def_224, type, sK122: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 0.29/0.46 thf(func_def_225, type, sK123: ((list @ char > int) > com > (list @ char > int) > com > list @ char > int)).
% 0.29/0.46 thf(func_def_226, type, sK124: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_227, type, sK125: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_228, type, sK126: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_229, type, sK127: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_230, type, sK128: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.29/0.46 thf(func_def_231, type, sK129: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0))).
% 0.29/0.46 thf(func_def_232, type, sK130: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.29/0.46 thf(func_def_233, type, sK131: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 0.29/0.46 thf(func_def_234, type, sK132: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 0.29/0.46 thf(func_def_235, type, sK133: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.29/0.46 thf(func_def_236, type, sK134: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.29/0.46 thf(func_def_237, type, sK135: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_238, type, sK136: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_239, type, sK137: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_240, type, sK138: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_241, type, sK139: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.29/0.46 thf(func_def_242, type, sK140: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.29/0.46 thf(func_def_243, type, sK141: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X1))).
% 0.29/0.46 thf(func_def_244, type, sK142: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X0))).
% 0.29/0.46 thf(func_def_245, type, sK143: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_246, type, sK144: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_247, type, sK145: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_248, type, sK146: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_249, type, sK147: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 0.29/0.46 thf(func_def_250, type, sK148: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > com > list @ char > int)).
% 0.29/0.46 thf(func_def_251, type, sK149: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_252, type, sK150: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_253, type, sK151: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.29/0.46 thf(func_def_254, type, sK152: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_255, type, sK153: (((list @ char > int) > (list @ char > int) > $o) > ((list @ char > int) > (list @ char > int) > $o) > list @ char > int)).
% 0.29/0.46 thf(func_def_256, type, sK154: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_257, type, sK155: (com > com > list @ char > int)).
% 0.29/0.46 thf(func_def_258, type, sK156: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 0.29/0.46 thf(func_def_259, type, sK157: (nat > nat)).
% 0.29/0.46 thf(func_def_261, type, inv_suc_159: (nat > nat)).
% 0.29/0.46 thf(f1,axiom,(
% 0.29/0.46 (bval @ b @ sa)),
% 0.29/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Suc_Oprems_I6_J)).
% 0.29/0.46 thf(f3,axiom,(
% 0.29/0.46 (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)),
% 0.29/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Suc_Oprems_I3_J)).
% 0.29/0.46 thf(f4,axiom,(
% 0.29/0.46 (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)),
% 0.29/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_Suc_Oprems_I4_J)).
% 0.29/0.46 thf(f5,axiom,(
% 0.29/0.46 (relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)),
% 0.29/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_Suc_Oprems_I7_J)).
% 0.29/0.46 thf(f289,conjecture,(
% 0.29/0.46 ? [X0 : (list @ char > int),X1 : (list @ char > int)] : ((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1) & (bval @ b @ X0) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a))),
% 0.29/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.29/0.46 thf(f290,negated_conjecture,(
% 0.29/0.46 ~ ? [X0 : (list @ char > int),X1 : (list @ char > int)] : ((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1) & (bval @ b @ X0) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a))),
% 0.29/0.46 inference(negated_conjecture,[status(cth)],[f289])).
% 0.29/0.46 thf(f433,plain,(
% 0.29/0.46 ~ ? [X0 : (list @ char > int),X1 : (list @ char > int)] : ((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1) & (bval @ b @ X0) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta) & (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a))),
% 0.29/0.46 inference(rectify,[],[f290])).
% 0.29/0.46 thf(f434,plain,(
% 0.29/0.46 ~ ? [X0 : (list @ char > int),X1 : (list @ char > int)] : ((((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) = $true) & (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a)) = $true) & (((bval @ b @ X0)) = $true) & (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta)) = $true))),
% 0.29/0.46 inference(fool_elimination,[],[f433])).
% 0.29/0.46 thf(f473,plain,(
% 0.29/0.46 (relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)),
% 0.29/0.46 inference(rectify,[],[f5])).
% 0.29/0.46 thf(f474,plain,(
% 0.29/0.46 (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $true)),
% 0.29/0.46 inference(fool_elimination,[],[f473])).
% 0.29/0.46 thf(f528,plain,(
% 0.29/0.46 (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)),
% 0.29/0.46 inference(rectify,[],[f4])).
% 0.29/0.46 thf(f529,plain,(
% 0.29/0.46 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) = $true)),
% 0.29/0.46 inference(fool_elimination,[],[f528])).
% 0.29/0.46 thf(f585,plain,(
% 0.29/0.46 (big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)),
% 0.29/0.46 inference(rectify,[],[f3])).
% 0.29/0.46 thf(f586,plain,(
% 0.29/0.46 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) = $true)),
% 0.29/0.46 inference(fool_elimination,[],[f585])).
% 0.29/0.46 thf(f619,plain,(
% 0.29/0.46 (bval @ b @ sa)),
% 0.29/0.46 inference(rectify,[],[f1])).
% 0.29/0.46 thf(f620,plain,(
% 0.29/0.46 (((bval @ b @ sa)) = $true)),
% 0.29/0.46 inference(fool_elimination,[],[f619])).
% 0.29/0.46 thf(f886,plain,(
% 0.29/0.46 ! [X0 : (list @ char > int),X1 : (list @ char > int)] : ((((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta)) != $true) | (((bval @ b @ X0)) != $true) | (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) != $true))),
% 0.29/0.46 inference(ennf_transformation,[],[f434])).
% 0.29/0.46 thf(f1206,plain,(
% 0.29/0.46 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) = $true)),
% 0.29/0.46 inference(cnf_transformation,[],[f529])).
% 0.29/0.46 thf(f1258,plain,(
% 0.29/0.46 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) = $true)),
% 0.29/0.46 inference(cnf_transformation,[],[f586])).
% 0.29/0.46 thf(f1303,plain,(
% 0.29/0.46 (((bval @ b @ sa)) = $true)),
% 0.29/0.46 inference(cnf_transformation,[],[f620])).
% 0.29/0.46 thf(f1335,plain,(
% 0.29/0.46 (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $true)),
% 0.29/0.46 inference(cnf_transformation,[],[f474])).
% 0.29/0.46 thf(f1389,plain,(
% 0.29/0.46 ( ! [X0 : (list @ char > int),X1 : (list @ char > int)] : ((((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ X0 @ X1)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ X1) @ t_a)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ X0) @ ta)) != $true) | (((bval @ b @ X0)) != $true)) )),
% 0.29/0.46 inference(cnf_transformation,[],[f886])).
% 0.29/0.46 thf(f1855,definition,(
% 0.29/0.46 spl158_20 <=> (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) = $true)),
% 0.29/0.46 introduced(definition,[new_symbols(definition,[spl158_20])],[avatar_definition])).
% 0.29/0.46 thf(f1857,plain,(
% 0.29/0.46 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) = $true) | ~spl158_20),
% 0.29/0.46 inference(avatar_component_clause,[],[f1855])).
% 0.29/0.46 thf(f1858,plain,(
% 0.29/0.46 spl158_20),
% 0.29/0.46 inference(avatar_split_clause,[],[f1206,f1855])).
% 0.29/0.46 thf(f1865,definition,(
% 0.29/0.46 spl158_22 <=> (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) = $true)),
% 0.29/0.46 introduced(definition,[new_symbols(definition,[spl158_22])],[avatar_definition])).
% 0.29/0.46 thf(f1867,plain,(
% 0.29/0.46 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) = $true) | ~spl158_22),
% 0.29/0.46 inference(avatar_component_clause,[],[f1865])).
% 0.29/0.46 thf(f1868,plain,(
% 0.29/0.46 spl158_22),
% 0.29/0.46 inference(avatar_split_clause,[],[f1258,f1865])).
% 0.29/0.46 thf(f1910,definition,(
% 0.29/0.46 spl158_31 <=> (((bval @ b @ sa)) = $true)),
% 0.29/0.46 introduced(definition,[new_symbols(definition,[spl158_31])],[avatar_definition])).
% 0.29/0.46 thf(f1912,plain,(
% 0.29/0.46 (((bval @ b @ sa)) = $true) | ~spl158_31),
% 0.29/0.46 inference(avatar_component_clause,[],[f1910])).
% 0.29/0.46 thf(f1913,plain,(
% 0.29/0.46 spl158_31),
% 0.29/0.46 inference(avatar_split_clause,[],[f1303,f1910])).
% 0.29/0.46 thf(f1915,definition,(
% 0.29/0.46 spl158_32 <=> (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $true)),
% 0.29/0.46 introduced(definition,[new_symbols(definition,[spl158_32])],[avatar_definition])).
% 0.29/0.46 thf(f1917,plain,(
% 0.29/0.46 (((relati1010904253t_back @ (list @ char > int) @ p @ b @ c @ (suc @ ka) @ sa @ s_a)) = $true) | ~spl158_32),
% 0.29/0.46 inference(avatar_component_clause,[],[f1915])).
% 0.29/0.46 thf(f1918,plain,(
% 0.29/0.46 spl158_32),
% 0.29/0.46 inference(avatar_split_clause,[],[f1335,f1915])).
% 0.29/0.46 thf(f2166,plain,(
% 0.29/0.46 ($true != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) != $true) | (((bval @ b @ sa)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) != $true) | ~spl158_32),
% 0.29/0.46 inference(superposition,[],[f1389,f1917])).
% 0.29/0.46 thf(f2167,plain,(
% 0.29/0.46 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c @ sa) @ ta)) != $true) | (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) != $true) | (((bval @ b @ sa)) != $true) | ~spl158_32),
% 0.29/0.46 inference(trivial_inequality_removal,[],[f2166])).
% 0.29/0.46 thf(f2168,plain,(
% 0.29/0.46 (((big_big_step @ (product_Pair @ com @ (list @ char > int) @ c2 @ s_a) @ t_a)) != $true) | (((bval @ b @ sa)) != $true) | (~spl158_22 | ~spl158_32)),
% 0.29/0.46 inference(forward_subsumption_resolution,[],[f2167,f1867])).
% 0.29/0.46 thf(f2169,plain,(
% 0.29/0.46 (((bval @ b @ sa)) != $true) | (~spl158_20 | ~spl158_22 | ~spl158_32)),
% 0.29/0.46 inference(forward_subsumption_resolution,[],[f2168,f1857])).
% 0.29/0.46 thf(f2170,plain,(
% 0.29/0.46 $false | (~spl158_20 | ~spl158_22 | ~spl158_31 | ~spl158_32)),
% 0.29/0.46 inference(forward_subsumption_resolution,[],[f2169,f1912])).
% 0.29/0.46 thf(f2171,plain,(
% 0.29/0.46 ~spl158_20 | ~spl158_22 | ~spl158_31 | ~spl158_32),
% 0.29/0.46 inference(avatar_contradiction_clause,[],[f2170])).
% 0.29/0.46 cnf(s19, plain, spl158_20, inference(sat_conversion,[],[f1858])).
% 0.29/0.46 cnf(s21, plain, spl158_22, inference(sat_conversion,[],[f1868])).
% 0.29/0.46 cnf(s30, plain, spl158_31, inference(sat_conversion,[],[f1913])).
% 0.29/0.46 cnf(s31, plain, spl158_32, inference(sat_conversion,[],[f1918])).
% 0.29/0.46 cnf(s64, plain, ~spl158_20 | ~spl158_22 | ~spl158_31 | ~spl158_32, inference(sat_conversion,[],[f2171])).
% 0.29/0.46 cnf(s65, plain, ~spl158_20, inference(rat,[],[s64,s31,s30,s21])).
% 0.29/0.46 cnf(s66, plain, $false, inference(rat,[],[s19,s65])).
% 0.29/0.46 thf(f2172,plain,(
% 0.29/0.46 $false),
% 0.29/0.46 inference(avatar_sat_refutation,[],[s66])).
% 0.29/0.46 % SZS output end Proof for theBenchmark
% 0.29/0.46 % (2138382)------------------------------
% 0.29/0.46 % (2138382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2138382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2138382)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2138382)Termination reason: Refutation
% 0.29/0.46 % (2138382)Time elapsed: 0.102 s
% 0.29/0.46 % (2138382)Peak memory usage: 15 MB
% 0.29/0.46 % (2138382)Instructions burned: 208 (million)
% 0.29/0.46 % (2138374)Success in time 0.164 s
% 0.29/0.46 % Vampire exiting
%------------------------------------------------------------------------------