%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT137^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 07:48:24 AM UTC 2026
% Result : Theorem 0.93s 0.52s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT137^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 18:02:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.19/0.28 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
% 0.93/0.50 % (1646809)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.93/0.50 % (1646814)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=261657120:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.93/0.50 % (1646815)lrs+10_16_si=on:nwc=1.5:random_seed=1954045344:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.93/0.50 % (1646815)Instruction limit reached!
% 0.93/0.50 % (1646815)------------------------------
% 0.93/0.50 % (1646815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (1646815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (1646815)CaDiCaL version: 2.1.3
% 0.93/0.50 % (1646815)Termination reason: Instruction limit
% 0.93/0.50 % (1646815)Termination phase: Property scanning
% 0.93/0.50 % (1646815)Time elapsed: 0.010 s
% 0.93/0.50 % (1646815)Peak memory usage: 10 MB
% 0.93/0.50 % (1646815)Instructions burned: 20 (million)
% 0.93/0.50 % (1646817)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=4925020: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)
% 0.93/0.50 % (1646820)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.93/0.50 % (1646823)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1236995699:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.50 % (1646818)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1987934202:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.93/0.50 % (1646816)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2525251867:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.93/0.50 % (1646823)Instruction limit reached!
% 0.93/0.50 % (1646823)------------------------------
% 0.93/0.50 % (1646823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (1646823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (1646823)CaDiCaL version: 2.1.3
% 0.93/0.50 % (1646823)Termination reason: Instruction limit
% 0.93/0.50 % (1646823)Termination phase: shuffling
% 0.93/0.50 % (1646823)Time elapsed: 0.002 s
% 0.93/0.50 % (1646823)Peak memory usage: 10 MB
% 0.93/0.50 % (1646823)Instructions burned: 3 (million)
% 0.93/0.50 % (1646816)Instruction limit reached!
% 0.93/0.50 % (1646816)------------------------------
% 0.93/0.50 % (1646816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (1646816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (1646816)CaDiCaL version: 2.1.3
% 0.93/0.50 % (1646816)Termination reason: Instruction limit
% 0.93/0.50 % (1646816)Termination phase: shuffling
% 0.93/0.50 % (1646816)Time elapsed: 0.002 s
% 0.93/0.50 % (1646816)Peak memory usage: 10 MB
% 0.93/0.50 % (1646816)Instructions burned: 3 (million)
% 0.93/0.50 % (1646820)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
% 0.93/0.50 % (1646819)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2058413392:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.93/0.50 % (1646820)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=1654542044:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.93/0.50 % (1646818)Instruction limit reached!
% 0.93/0.50 % (1646818)------------------------------
% 0.93/0.50 % (1646818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (1646818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (1646818)CaDiCaL version: 2.1.3
% 0.93/0.50 % (1646818)Termination reason: Instruction limit
% 0.93/0.50 % (1646818)Termination phase: Property scanning
% 0.93/0.50 % (1646818)Time elapsed: 0.011 s
% 0.93/0.50 % (1646818)Peak memory usage: 10 MB
% 0.93/0.50 % (1646818)Instructions burned: 25 (million)
% 0.93/0.50 % (1646829)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.93/0.52 % (1646814)Instruction limit reached!
% 0.93/0.52 % (1646814)------------------------------
% 0.93/0.52 % (1646814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646814)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646814)Termination reason: Instruction limit
% 0.93/0.52 % (1646814)Termination phase: Saturation
% 0.93/0.52 % (1646814)Time elapsed: 0.050 s
% 0.93/0.52 % (1646814)Peak memory usage: 12 MB
% 0.93/0.52 % (1646814)Instructions burned: 88 (million)
% 0.93/0.52 % (1646829)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=741873268:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.93/0.52 % (1646828)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=473313507:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.93/0.52 % (1646829)Instruction limit reached!
% 0.93/0.52 % (1646829)------------------------------
% 0.93/0.52 % (1646829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646829)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646829)Termination reason: Instruction limit
% 0.93/0.52 % (1646829)Termination phase: shuffling
% 0.93/0.52 % (1646829)Time elapsed: 0.004 s
% 0.93/0.52 % (1646829)Peak memory usage: 10 MB
% 0.93/0.52 % (1646829)Instructions burned: 8 (million)
% 0.93/0.52 % (1646828)Instruction limit reached!
% 0.93/0.52 % (1646828)------------------------------
% 0.93/0.52 % (1646828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646828)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646828)Termination reason: Instruction limit
% 0.93/0.52 % (1646828)Termination phase: shuffling
% 0.93/0.52 % (1646828)Time elapsed: 0.003 s
% 0.93/0.52 % (1646828)Peak memory usage: 10 MB
% 0.93/0.52 % (1646828)Instructions burned: 7 (million)
% 0.93/0.52 % (1646833)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=782499430:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 0.93/0.52 % (1646834)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
% 0.93/0.52 % (1646834)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.93/0.52 % (1646833)Instruction limit reached!
% 0.93/0.52 % (1646833)------------------------------
% 0.93/0.52 % (1646833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646833)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646833)Termination reason: Instruction limit
% 0.93/0.52 % (1646833)Termination phase: shuffling
% 0.93/0.52 % (1646833)Time elapsed: 0.006 s
% 0.93/0.52 % (1646833)Peak memory usage: 10 MB
% 0.93/0.52 % (1646833)Instructions burned: 12 (million)
% 0.93/0.52 % (1646834)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4223969299:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.93/0.52 % (1646838)lrs+10_1_si=on:cs=on:random_seed=176220027:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.93/0.52 % (1646834)Instruction limit reached!
% 0.93/0.52 % (1646834)------------------------------
% 0.93/0.52 % (1646834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646834)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646834)Termination reason: Instruction limit
% 0.93/0.52 % (1646834)Termination phase: shuffling
% 0.93/0.52 % (1646834)Time elapsed: 0.016 s
% 0.93/0.52 % (1646834)Peak memory usage: 10 MB
% 0.93/0.52 % (1646834)Instructions burned: 29 (million)
% 0.93/0.52 % (1646837)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=393004602:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.93/0.52 % (1646838)Instruction limit reached!
% 0.93/0.52 % (1646838)------------------------------
% 0.93/0.52 % (1646838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646838)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646838)Termination reason: Instruction limit
% 0.93/0.52 % (1646838)Termination phase: shuffling
% 0.93/0.52 % (1646838)Time elapsed: 0.006 s
% 0.93/0.52 % (1646838)Peak memory usage: 10 MB
% 0.93/0.52 % (1646838)Instructions burned: 11 (million)
% 0.93/0.52 % (1646819)Instruction limit reached!
% 0.93/0.52 % (1646819)------------------------------
% 0.93/0.52 % (1646819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646819)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646819)Termination reason: Instruction limit
% 0.93/0.52 % (1646819)Termination phase: Property scanning
% 0.93/0.52 % (1646819)Time elapsed: 0.063 s
% 0.93/0.52 % (1646819)Peak memory usage: 12 MB
% 0.93/0.52 % (1646819)Instructions burned: 75 (million)
% 0.93/0.52 % (1646842)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.93/0.52 % (1646846)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3670222963:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.93/0.52 % (1646842)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=2209190066:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.93/0.52 % (1646842)Instruction limit reached!
% 0.93/0.52 % (1646842)------------------------------
% 0.93/0.52 % (1646842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646842)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646842)Termination reason: Instruction limit
% 0.93/0.52 % (1646842)Termination phase: shuffling
% 0.93/0.52 % (1646842)Time elapsed: 0.002 s
% 0.93/0.52 % (1646842)Peak memory usage: 9 MB
% 0.93/0.52 % (1646842)Instructions burned: 3 (million)
% 0.93/0.52 % (1646847)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2330126641:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.93/0.52 % (1646846)Instruction limit reached!
% 0.93/0.52 % (1646846)------------------------------
% 0.93/0.52 % (1646846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646846)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646846)Termination reason: Instruction limit
% 0.93/0.52 % (1646846)Termination phase: Property scanning
% 0.93/0.52 % (1646846)Time elapsed: 0.017 s
% 0.93/0.52 % (1646846)Peak memory usage: 11 MB
% 0.93/0.52 % (1646846)Instructions burned: 39 (million)
% 0.93/0.52 % (1646852)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2006233237:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.93/0.52 % (1646848)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=250486940:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.93/0.52 % (1646852)Instruction limit reached!
% 0.93/0.52 % (1646852)------------------------------
% 0.93/0.52 % (1646852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646852)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646852)Termination reason: Instruction limit
% 0.93/0.52 % (1646852)Termination phase: Property scanning
% 0.93/0.52 % (1646852)Time elapsed: 0.009 s
% 0.93/0.52 % (1646852)Peak memory usage: 10 MB
% 0.93/0.52 % (1646852)Instructions burned: 16 (million)
% 0.93/0.52 % (1646854)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=358851500:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.93/0.52 % (1646837)Instruction limit reached!
% 0.93/0.52 % (1646837)------------------------------
% 0.93/0.52 % (1646837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646837)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646837)Termination reason: Instruction limit
% 0.93/0.52 % (1646837)Termination phase: Property scanning
% 0.93/0.52 % (1646837)Time elapsed: 0.057 s
% 0.93/0.52 % (1646837)Peak memory usage: 11 MB
% 0.93/0.52 % (1646837)Instructions burned: 86 (million)
% 0.93/0.52 % (1646847)Refutation not found, incomplete strategy
% 0.93/0.52 % (1646847)------------------------------
% 0.93/0.52 % (1646847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646847)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646847)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.52 % (1646847)Time elapsed: 0.031 s
% 0.93/0.52 % (1646847)Peak memory usage: 13 MB
% 0.93/0.52 % (1646847)Instructions burned: 61 (million)
% 0.93/0.52 % (1646847)------------------------------
% 0.93/0.52 % (1646847)------------------------------
% 0.93/0.52 % (1646848)Instruction limit reached!
% 0.93/0.52 % (1646848)------------------------------
% 0.93/0.52 % (1646848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.52 % (1646848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.52 % (1646848)CaDiCaL version: 2.1.3
% 0.93/0.52 % (1646848)Termination reason: Instruction limit
% 0.93/0.52 % (1646848)Termination phase: SInE selection
% 0.93/0.52 % (1646817) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1646809-1646817"...
% 0.93/0.52 % (1646848)Time elapsed: 0.022 s
% 0.93/0.52 % (1646848)Peak memory usage: 10 MB
% 0.93/0.52 % (1646848)Instructions burned: 26 (million)
% 0.93/0.52 % (1646817)...printing done.
% 0.93/0.52 % (1646817)Refutation found. Thanks to Tanya!
% 0.93/0.52 % SZS status Theorem for theBenchmark
% 0.93/0.52 % SZS output start Proof for theBenchmark
% 0.93/0.52 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 0.93/0.52 thf(type_def_6, type, extended_enat: $tType).
% 0.93/0.52 thf(type_def_7, type, list: $tType > $tType).
% 0.93/0.52 thf(type_def_8, type, num: $tType).
% 0.93/0.52 thf(type_def_9, type, nat: $tType).
% 0.93/0.52 thf(type_def_10, type, itself: $tType > $tType).
% 0.93/0.52 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.93/0.52 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_1, type, one: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_2, type, numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_3, type, ring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_4, type, uminus: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_5, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_6, type, ring_char_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_7, type, neg_numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_8, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_9, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_10, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_11, type, ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_12, type, semiring_char_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_13, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_14, type, comm_semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_15, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_16, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_17, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_18, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_19, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_20, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_21, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_22, type, ordere236663937imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_23, type, ordere223160158up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_24, type, strict2144017051up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_25, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.93/0.52 thf(func_def_26, type, coindu493225792length: !>[X0: $tType]:((nat > coindu1593790203_llist @ X0 > extended_enat))).
% 0.93/0.52 thf(func_def_27, type, coindu1542816657of_aux: !>[X0: $tType]:((list @ X0 > coindu1593790203_llist @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_28, type, coindu1121789889_LCons: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.93/0.52 thf(func_def_29, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 0.93/0.52 thf(func_def_30, type, coindu1079202755ist_of: !>[X0: $tType]:((list @ X0 > coindu1593790203_llist @ X0))).
% 0.93/0.52 thf(func_def_31, type, coindu567634248member: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > $o))).
% 0.93/0.52 thf(func_def_32, type, one_one: !>[X0: $tType]:(X0)).
% 0.93/0.52 thf(func_def_33, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.93/0.52 thf(func_def_34, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.93/0.52 thf(func_def_35, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.93/0.52 thf(func_def_36, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 0.93/0.52 thf(func_def_37, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 0.93/0.52 thf(func_def_38, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_39, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.93/0.52 thf(func_def_40, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 0.93/0.52 thf(func_def_41, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 0.93/0.52 thf(func_def_42, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.93/0.52 thf(func_def_43, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.93/0.52 thf(func_def_44, type, sublists: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.93/0.52 thf(func_def_45, type, upt: (nat > nat > list @ nat)).
% 0.93/0.52 thf(func_def_46, type, suc: (nat > nat)).
% 0.93/0.52 thf(func_def_47, type, nat_triangle: (nat > nat)).
% 0.93/0.52 thf(func_def_48, type, bitM: (num > num)).
% 0.93/0.52 thf(func_def_49, type, inc: (num > num)).
% 0.93/0.52 thf(func_def_50, type, neg_numeral_dbl: !>[X0: $tType]:((X0 > X0))).
% 0.93/0.52 thf(func_def_51, type, neg_numeral_dbl_dec: !>[X0: $tType]:((X0 > X0))).
% 0.93/0.52 thf(func_def_52, type, neg_numeral_sub: !>[X0: $tType]:((num > num > X0))).
% 0.93/0.52 thf(func_def_53, type, bit0: (num > num)).
% 0.93/0.52 thf(func_def_54, type, one2: num).
% 0.93/0.52 thf(func_def_55, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 0.93/0.52 thf(func_def_56, type, ring_1_iszero: !>[X0: $tType]:((X0 > $o))).
% 0.93/0.52 thf(func_def_57, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.93/0.52 thf(func_def_58, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.93/0.52 thf(func_def_59, type, prefixes: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.93/0.52 thf(func_def_60, type, ma: nat).
% 0.93/0.52 thf(func_def_61, type, na: nat).
% 0.93/0.52 thf(func_def_65, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.93/0.52 thf(func_def_66, type, db2: !>[X0: $tType]:(X0)).
% 0.93/0.52 thf(func_def_67, type, db0: !>[X0: $tType]:(X0)).
% 0.93/0.52 thf(func_def_68, type, db1: !>[X0: $tType]:(X0)).
% 0.93/0.52 thf(func_def_69, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.93/0.52 thf(func_def_70, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.93/0.52 thf(func_def_71, type, vOR: ($o > $o > $o)).
% 0.93/0.52 thf(func_def_72, type, vAND: ($o > $o > $o)).
% 0.93/0.52 thf(func_def_73, type, db5: !>[X0: $tType]:(X0)).
% 0.93/0.52 thf(func_def_74, type, db3: !>[X0: $tType]:(X0)).
% 0.93/0.52 thf(func_def_75, type, db4: !>[X0: $tType]:(X0)).
% 0.93/0.52 thf(func_def_76, type, vNOT: ($o > $o)).
% 0.93/0.52 thf(func_def_77, type, sP0: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.93/0.52 thf(func_def_78, type, sK1: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_79, type, sK2: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_80, type, sK3: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_81, type, sK4: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_82, type, sK5: !>[X0: $tType]:((list @ X0 > X0))).
% 0.93/0.52 thf(func_def_83, type, sK6: !>[X0: $tType]:((list @ X0 > X0))).
% 0.93/0.52 thf(func_def_84, type, sK7: !>[X0: $tType]:((list @ X0 > X0))).
% 0.93/0.52 thf(func_def_85, type, sK8: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_86, type, sK9: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat))).
% 0.93/0.52 thf(func_def_87, type, sK10: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat))).
% 0.93/0.52 thf(func_def_88, type, sK11: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat > X0 > X0))).
% 0.93/0.52 thf(func_def_89, type, sK12: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_90, type, sK13: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_91, type, sK14: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_92, type, sK15: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_93, type, sK16: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_94, type, sK17: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_95, type, sK18: ((list @ nat > $o) > list @ nat)).
% 0.93/0.52 thf(func_def_96, type, sK19: ((list @ nat > $o) > nat)).
% 0.93/0.52 thf(func_def_97, type, sK20: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_98, type, sK21: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_99, type, sK22: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_100, type, sK23: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_101, type, sK24: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_102, type, sK25: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_103, type, sK26: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_104, type, sK27: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_105, type, sK28: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_106, type, sK29: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_107, type, sK30: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_108, type, sK31: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_109, type, sK32: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_110, type, sK33: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_111, type, sK34: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_112, type, sK35: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_113, type, sK36: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_114, type, sK37: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.93/0.52 thf(func_def_115, type, sK38: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_116, type, sK39: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.93/0.52 thf(func_def_117, type, sK40: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_118, type, sK41: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_119, type, sK42: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.93/0.52 thf(func_def_120, type, sK43: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.93/0.52 thf(func_def_121, type, sK44: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_122, type, sK45: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_123, type, sK46: ((num > $o) > num)).
% 0.93/0.52 thf(func_def_124, type, sK47: (nat > nat > nat)).
% 0.93/0.52 thf(func_def_125, type, sK48: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.93/0.52 thf(func_def_126, type, sK49: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.93/0.52 thf(func_def_127, type, sK50: !>[X0: $tType]:((X0 > X0))).
% 0.93/0.52 thf(func_def_128, type, sK51: ((extended_enat > $o) > extended_enat)).
% 0.93/0.52 thf(func_def_129, type, sK52: (list @ nat > nat)).
% 0.93/0.52 thf(func_def_130, type, sK53: (list @ nat > list @ nat)).
% 0.93/0.52 thf(func_def_131, type, sK54: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.93/0.52 thf(func_def_132, type, sK55: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_133, type, sK56: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.93/0.52 thf(func_def_134, type, sK57: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 0.93/0.52 thf(func_def_135, type, sK58: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.93/0.52 thf(func_def_136, type, sK59: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_137, type, sK60: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.93/0.52 thf(func_def_138, type, sK61: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 0.93/0.52 thf(func_def_139, type, sK62: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.93/0.52 thf(func_def_140, type, sK63: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.93/0.52 thf(func_def_141, type, sK64: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 0.93/0.52 thf(func_def_142, type, sK65: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_143, type, sK66: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.93/0.52 thf(func_def_144, type, sK67: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.93/0.52 thf(func_def_145, type, sK68: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_146, type, sK69: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.93/0.52 thf(func_def_147, type, sK70: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.93/0.52 thf(func_def_148, type, sK71: (nat > nat > nat)).
% 0.93/0.52 thf(func_def_149, type, sK72: ((nat > $o) > nat)).
% 0.93/0.52 thf(func_def_150, type, sK73: !>[X0: $tType]:((list @ X0 > X0))).
% 0.93/0.52 thf(func_def_151, type, sK74: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_152, type, sK75: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_153, type, sK76: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_154, type, sK77: !>[X0: $tType]:((list @ X0 > X0))).
% 0.93/0.52 thf(func_def_155, type, sK78: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_156, type, sK79: ((nat > nat > $o) > nat)).
% 0.93/0.52 thf(func_def_157, type, sK80: ((nat > nat > $o) > nat)).
% 0.93/0.52 thf(func_def_158, type, sK81: ((nat > nat > $o) > nat)).
% 0.93/0.52 thf(func_def_159, type, sK82: ((nat > nat > $o) > nat)).
% 0.93/0.52 thf(func_def_160, type, sK83: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.93/0.52 thf(func_def_161, type, sK84: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_162, type, sK85: !>[X0: $tType]:((list @ X0 > X0))).
% 0.93/0.52 thf(func_def_163, type, sK86: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_164, type, sK87: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_165, type, sK88: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_166, type, sK89: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_167, type, sK90: !>[X0: $tType]:((X0 > X0))).
% 0.93/0.52 thf(func_def_168, type, sK91: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_169, type, sK92: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.93/0.52 thf(func_def_170, type, sK93: !>[X0: $tType]:((X0 > X0))).
% 0.93/0.52 thf(func_def_171, type, sK94: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.93/0.52 thf(func_def_172, type, sK95: ((nat > $o) > nat)).
% 0.93/0.52 thf(func_def_173, type, sK96: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.93/0.52 thf(func_def_174, type, sK97: (nat > (nat > $o) > nat)).
% 0.93/0.52 thf(func_def_175, type, sK98: (nat > (nat > $o) > nat)).
% 0.93/0.52 thf(func_def_176, type, sK99: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.93/0.52 thf(func_def_177, type, sK100: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.93/0.52 thf(func_def_178, type, sK101: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_179, type, sK102: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.93/0.52 thf(func_def_180, type, sK103: (nat > nat > nat)).
% 0.93/0.52 thf(func_def_181, type, sK104: (nat > nat > nat)).
% 0.93/0.52 thf(func_def_182, type, sK105: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.93/0.52 thf(func_def_184, type, inv_suc_107: (nat > nat)).
% 0.93/0.52 thf(func_def_185, type, inv_coindu1079202755ist_of_108: !>[X0: $tType]:((coindu1593790203_llist @ X0 > list @ X0))).
% 0.93/0.52 thf(func_def_186, type, inv_plus_plus_109: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.93/0.52 thf(func_def_187, type, inv_plus_plus_110: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.93/0.52 thf(f2,axiom,(
% 0.93/0.52 ! [X1 : nat,X0 : nat] : (((plus_plus @ nat @ X0 @ (suc @ X1))) = ((suc @ (plus_plus @ nat @ X0 @ X1))))),
% 0.93/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_add__Suc__right)).
% 0.93/0.52 thf(f9,axiom,(
% 0.93/0.52 ! [X1 : nat,X0 : nat] : (((plus_plus @ nat @ (suc @ X0) @ X1)) = ((plus_plus @ nat @ X0 @ (suc @ X1))))),
% 0.93/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_add__Suc__shift)).
% 0.93/0.52 thf(f30,axiom,(
% 0.93/0.52 ! [X1 : nat,X0 : nat] : ((ord_less @ nat @ X0 @ X1) => (((upt @ X0 @ X1)) = ((cons @ nat @ X0 @ (upt @ (suc @ X0) @ X1)))))),
% 0.93/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_upt__conv__Cons)).
% 0.93/0.52 thf(f92,axiom,(
% 0.93/0.52 ! [X1 : nat,X0 : nat] : (ord_less @ nat @ X0 @ (suc @ (plus_plus @ nat @ X1 @ X0)))),
% 0.93/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_less__add__Suc2)).
% 0.93/0.52 thf(f291,conjecture,(
% 0.93/0.52 (((coindu1079202755ist_of @ nat @ (cons @ nat @ ma @ (upt @ (suc @ ma) @ (plus_plus @ nat @ na @ (suc @ ma)))))) = ((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ (suc @ na) @ ma)))))),
% 0.93/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.93/0.52 thf(f292,negated_conjecture,(
% 0.93/0.52 ~ (((coindu1079202755ist_of @ nat @ (cons @ nat @ ma @ (upt @ (suc @ ma) @ (plus_plus @ nat @ na @ (suc @ ma)))))) = ((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ (suc @ na) @ ma)))))),
% 0.93/0.52 inference(negated_conjecture,[status(cth)],[f291])).
% 0.93/0.52 thf(f321,plain,(
% 0.93/0.52 ! [X0 : nat,X1 : nat] : ((ord_less @ nat @ X1 @ X0) => (((cons @ nat @ X1 @ (upt @ (suc @ X1) @ X0))) = ((upt @ X1 @ X0))))),
% 0.93/0.52 inference(rectify,[],[f30])).
% 0.93/0.52 thf(f322,plain,(
% 0.93/0.52 ! [X1 : nat,X0 : nat] : ((((ord_less @ nat @ X1 @ X0)) = $true) => (((cons @ nat @ X1 @ (upt @ (suc @ X1) @ X0))) = ((upt @ X1 @ X0))))),
% 0.93/0.52 inference(fool_elimination,[],[f321])).
% 0.93/0.52 thf(f721,plain,(
% 0.93/0.52 ! [X0 : nat,X1 : nat] : (ord_less @ nat @ X1 @ (suc @ (plus_plus @ nat @ X0 @ X1)))),
% 0.93/0.52 inference(rectify,[],[f92])).
% 0.93/0.52 thf(f722,plain,(
% 0.93/0.52 ! [X1 : nat,X0 : nat] : (((ord_less @ nat @ X1 @ (suc @ (plus_plus @ nat @ X0 @ X1)))) = $true)),
% 0.93/0.52 inference(fool_elimination,[],[f721])).
% 0.93/0.52 thf(f773,plain,(
% 0.93/0.52 ! [X1 : nat,X0 : nat] : (((suc @ (plus_plus @ nat @ X1 @ X0))) = ((plus_plus @ nat @ X1 @ (suc @ X0))))),
% 0.93/0.52 inference(rectify,[],[f2])).
% 0.93/0.52 thf(f806,plain,(
% 0.93/0.52 (((coindu1079202755ist_of @ nat @ (cons @ nat @ ma @ (upt @ (suc @ ma) @ (plus_plus @ nat @ na @ (suc @ ma)))))) != ((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ (suc @ na) @ ma)))))),
% 0.93/0.53 inference(flattening,[],[f292])).
% 0.93/0.53 thf(f860,plain,(
% 0.93/0.53 ! [X1 : nat,X0 : nat] : ((((cons @ nat @ X1 @ (upt @ (suc @ X1) @ X0))) = ((upt @ X1 @ X0))) | (((ord_less @ nat @ X1 @ X0)) != $true))),
% 0.93/0.53 inference(ennf_transformation,[],[f322])).
% 0.93/0.53 thf(f1082,plain,(
% 0.93/0.53 ! [X0 : nat,X1 : nat] : ((((upt @ X0 @ X1)) = ((cons @ nat @ X0 @ (upt @ (suc @ X0) @ X1)))) | (((ord_less @ nat @ X0 @ X1)) != $true))),
% 0.93/0.53 inference(rectify,[],[f860])).
% 0.93/0.53 thf(f1110,plain,(
% 0.93/0.53 ! [X0 : nat,X1 : nat] : (((ord_less @ nat @ X0 @ (suc @ (plus_plus @ nat @ X1 @ X0)))) = $true)),
% 0.93/0.53 inference(rectify,[],[f722])).
% 0.93/0.53 thf(f1180,plain,(
% 0.93/0.53 ! [X0 : nat,X1 : nat] : (((plus_plus @ nat @ X1 @ (suc @ X0))) = ((plus_plus @ nat @ (suc @ X1) @ X0)))),
% 0.93/0.53 inference(rectify,[],[f9])).
% 0.93/0.53 thf(f1188,plain,(
% 0.93/0.53 ! [X0 : nat,X1 : nat] : (((plus_plus @ nat @ X0 @ (suc @ X1))) = ((suc @ (plus_plus @ nat @ X0 @ X1))))),
% 0.93/0.53 inference(rectify,[],[f773])).
% 0.93/0.53 thf(f1334,plain,(
% 0.93/0.53 ( ! [X0 : nat,X1 : nat] : ((((upt @ X0 @ X1)) = ((cons @ nat @ X0 @ (upt @ (suc @ X0) @ X1)))) | (((ord_less @ nat @ X0 @ X1)) != $true)) )),
% 0.93/0.53 inference(cnf_transformation,[],[f1082])).
% 0.93/0.53 thf(f1373,plain,(
% 0.93/0.53 ( ! [X0 : nat,X1 : nat] : ((((ord_less @ nat @ X0 @ (suc @ (plus_plus @ nat @ X1 @ X0)))) = $true)) )),
% 0.93/0.53 inference(cnf_transformation,[],[f1110])).
% 0.93/0.53 thf(f1391,plain,(
% 0.93/0.53 (((coindu1079202755ist_of @ nat @ (cons @ nat @ ma @ (upt @ (suc @ ma) @ (plus_plus @ nat @ na @ (suc @ ma)))))) != ((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ (suc @ na) @ ma)))))),
% 0.93/0.53 inference(cnf_transformation,[],[f806])).
% 0.93/0.53 thf(f1534,plain,(
% 0.93/0.53 ( ! [X0 : nat,X1 : nat] : ((((plus_plus @ nat @ X1 @ (suc @ X0))) = ((plus_plus @ nat @ (suc @ X1) @ X0)))) )),
% 0.93/0.53 inference(cnf_transformation,[],[f1180])).
% 0.93/0.53 thf(f1550,plain,(
% 0.93/0.53 ( ! [X0 : nat,X1 : nat] : ((((plus_plus @ nat @ X0 @ (suc @ X1))) = ((suc @ (plus_plus @ nat @ X0 @ X1))))) )),
% 0.93/0.53 inference(cnf_transformation,[],[f1188])).
% 0.93/0.53 thf(f1840,definition,(
% 0.93/0.53 spl106_30 <=> (((coindu1079202755ist_of @ nat @ (cons @ nat @ ma @ (upt @ (suc @ ma) @ (plus_plus @ nat @ na @ (suc @ ma)))))) = ((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ (suc @ na) @ ma)))))),
% 0.93/0.53 introduced(definition,[new_symbols(definition,[spl106_30])],[avatar_definition])).
% 0.93/0.53 thf(f1842,plain,(
% 0.93/0.53 (((coindu1079202755ist_of @ nat @ (cons @ nat @ ma @ (upt @ (suc @ ma) @ (plus_plus @ nat @ na @ (suc @ ma)))))) != ((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ (suc @ na) @ ma))))) | spl106_30),
% 0.93/0.53 inference(avatar_component_clause,[],[f1840])).
% 0.93/0.53 thf(f1843,plain,(
% 0.93/0.53 ~spl106_30),
% 0.93/0.53 inference(avatar_split_clause,[],[f1391,f1840])).
% 0.93/0.53 thf(f2272,plain,(
% 0.93/0.53 (((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ (suc @ na) @ ma)))) != ((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ na @ (suc @ ma)))))) | ($true != ((ord_less @ nat @ ma @ (plus_plus @ nat @ na @ (suc @ ma))))) | spl106_30),
% 0.93/0.53 inference(superposition,[],[f1842,f1334])).
% 0.93/0.53 thf(f2283,plain,(
% 0.93/0.53 (((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ na @ (suc @ ma))))) != ((coindu1079202755ist_of @ nat @ (upt @ ma @ (plus_plus @ nat @ na @ (suc @ ma)))))) | ($true != ((ord_less @ nat @ ma @ (plus_plus @ nat @ na @ (suc @ ma))))) | spl106_30),
% 0.93/0.53 inference(forward_demodulation,[],[f2272,f1534])).
% 0.93/0.53 thf(f2284,plain,(
% 0.93/0.53 ($true != ((ord_less @ nat @ ma @ (plus_plus @ nat @ na @ (suc @ ma))))) | spl106_30),
% 0.93/0.53 inference(trivial_inequality_removal,[],[f2283])).
% 0.93/0.53 thf(f2290,definition,(
% 0.93/0.53 spl106_50 <=> ($true = ((ord_less @ nat @ ma @ (plus_plus @ nat @ na @ (suc @ ma)))))),
% 0.93/0.53 introduced(definition,[new_symbols(definition,[spl106_50])],[avatar_definition])).
% 0.93/0.53 thf(f2292,plain,(
% 0.93/0.53 ($true != ((ord_less @ nat @ ma @ (plus_plus @ nat @ na @ (suc @ ma))))) | spl106_50),
% 0.93/0.53 inference(avatar_component_clause,[],[f2290])).
% 0.93/0.53 thf(f2293,plain,(
% 0.93/0.53 ~spl106_50 | spl106_30),
% 0.93/0.53 inference(avatar_split_clause,[],[f2284,f1840,f2290])).
% 0.93/0.53 thf(f2299,plain,(
% 0.93/0.53 ($true != ((ord_less @ nat @ ma @ (suc @ (plus_plus @ nat @ na @ ma))))) | spl106_50),
% 0.93/0.53 inference(superposition,[],[f2292,f1550])).
% 0.93/0.53 thf(f2300,plain,(
% 0.93/0.53 $false | spl106_50),
% 0.93/0.53 inference(forward_subsumption_resolution,[],[f2299,f1373])).
% 0.93/0.53 thf(f2301,plain,(
% 0.93/0.53 spl106_50),
% 0.93/0.53 inference(avatar_contradiction_clause,[],[f2300])).
% 0.93/0.53 cnf(s30, plain, ~spl106_30, inference(sat_conversion,[],[f1843])).
% 0.93/0.53 cnf(s49, plain, spl106_30 | ~spl106_50, inference(sat_conversion,[],[f2293])).
% 0.93/0.53 cnf(s51, plain, spl106_50, inference(sat_conversion,[],[f2301])).
% 0.93/0.53 cnf(s52, plain, spl106_30, inference(rat,[],[s49,s51])).
% 0.93/0.53 cnf(s53, plain, $false, inference(rat,[],[s30,s52])).
% 0.93/0.53 thf(f2302,plain,(
% 0.93/0.53 $false),
% 0.93/0.53 inference(avatar_sat_refutation,[],[s53])).
% 0.93/0.53 % SZS output end Proof for theBenchmark
% 0.93/0.53 % (1646817)------------------------------
% 0.93/0.53 % (1646817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.53 % (1646817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.53 % (1646817)CaDiCaL version: 2.1.3
% 0.93/0.53 % (1646817)Termination reason: Refutation
% 0.93/0.53 % (1646817)Time elapsed: 0.144 s
% 0.93/0.53 % (1646817)Peak memory usage: 14 MB
% 0.93/0.53 % (1646817)Instructions burned: 157 (million)
% 0.93/0.53 % (1646809)Success in time 0.231 s
% 0.93/0.53 % Vampire exiting
%------------------------------------------------------------------------------