%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM187^1 : 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 : n017.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 07:46:25 AM UTC 2026
% Result : Theorem 0.58s 0.44s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM187^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:45:37 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
% 0.21/0.26 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
% 0.58/0.41 % (669160)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.41 % (669170)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3226704155:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.41 % (669171)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.41 % (669171)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
% 0.58/0.41 % (669167)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=984338186:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.41 % (669165)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1904309697:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.41 % (669166)lrs+10_16_si=on:nwc=1.5:random_seed=3458355606:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.41 % (669168)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=2791822025: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)
% 0.58/0.41 % (669169)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3373545969:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.41 % (669171)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=762306316:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.41 % (669167)Instruction limit reached!
% 0.58/0.41 % (669167)------------------------------
% 0.58/0.41 % (669167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41 % (669167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41 % (669167)CaDiCaL version: 2.1.3
% 0.58/0.41 % (669167)Termination reason: Instruction limit
% 0.58/0.41 % (669167)Termination phase: shuffling
% 0.58/0.41 % (669167)Time elapsed: 0.002 s
% 0.58/0.41 % (669167)Peak memory usage: 10 MB
% 0.58/0.41 % (669167)Instructions burned: 3 (million)
% 0.58/0.41 % (669166)Instruction limit reached!
% 0.58/0.41 % (669166)------------------------------
% 0.58/0.41 % (669166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41 % (669166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41 % (669166)CaDiCaL version: 2.1.3
% 0.58/0.41 % (669166)Termination reason: Instruction limit
% 0.58/0.41 % (669166)Termination phase: shuffling
% 0.58/0.41 % (669166)Time elapsed: 0.009 s
% 0.58/0.41 % (669166)Peak memory usage: 10 MB
% 0.58/0.41 % (669166)Instructions burned: 18 (million)
% 0.58/0.41 % (669169)Instruction limit reached!
% 0.58/0.41 % (669169)------------------------------
% 0.58/0.41 % (669169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41 % (669170)Instruction limit reached!
% 0.58/0.41 % (669170)------------------------------
% 0.58/0.41 % (669170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41 % (669169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41 % (669170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41 % (669169)CaDiCaL version: 2.1.3
% 0.58/0.41 % (669169)Termination reason: Instruction limit
% 0.58/0.41 % (669169)Termination phase: Property scanning
% 0.58/0.41 % (669170)CaDiCaL version: 2.1.3
% 0.58/0.41 % (669169)Time elapsed: 0.012 s
% 0.58/0.41 % (669170)Termination reason: Instruction limit
% 0.58/0.41 % (669170)Termination phase: Property scanning
% 0.58/0.41 % (669170)Time elapsed: 0.020 s
% 0.58/0.41 % (669169)Peak memory usage: 10 MB
% 0.58/0.41 % (669170)Peak memory usage: 12 MB
% 0.58/0.41 % (669170)Instructions burned: 79 (million)
% 0.58/0.41 % (669169)Instructions burned: 25 (million)
% 0.58/0.41 % (669181)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.41 % (669179)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2212087810:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.41 % (669181)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3017905471:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.58/0.44 % (669179)Instruction limit reached!
% 0.58/0.44 % (669179)------------------------------
% 0.58/0.44 % (669179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669179)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669179)Termination reason: Instruction limit
% 0.58/0.44 % (669179)Termination phase: shuffling
% 0.58/0.44 % (669179)Time elapsed: 0.002 s
% 0.58/0.44 % (669179)Peak memory usage: 10 MB
% 0.58/0.44 % (669179)Instructions burned: 4 (million)
% 0.58/0.44 % (669181)Instruction limit reached!
% 0.58/0.44 % (669181)------------------------------
% 0.58/0.44 % (669181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669181)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669181)Termination reason: Instruction limit
% 0.58/0.44 % (669181)Termination phase: shuffling
% 0.58/0.44 % (669181)Time elapsed: 0.002 s
% 0.58/0.44 % (669181)Peak memory usage: 10 MB
% 0.58/0.44 % (669181)Instructions burned: 10 (million)
% 0.58/0.44 % (669180)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3590922324:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.44 % (669182)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3524855554:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.58/0.44 % (669180)Instruction limit reached!
% 0.58/0.44 % (669180)------------------------------
% 0.58/0.44 % (669180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669180)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669180)Termination reason: Instruction limit
% 0.58/0.44 % (669180)Termination phase: shuffling
% 0.58/0.44 % (669180)Time elapsed: 0.003 s
% 0.58/0.44 % (669180)Peak memory usage: 10 MB
% 0.58/0.44 % (669180)Instructions burned: 7 (million)
% 0.58/0.44 % (669182)Instruction limit reached!
% 0.58/0.44 % (669182)------------------------------
% 0.58/0.44 % (669182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669182)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669182)Termination reason: Instruction limit
% 0.58/0.44 % (669182)Termination phase: shuffling
% 0.58/0.44 % (669182)Time elapsed: 0.006 s
% 0.58/0.44 % (669182)Peak memory usage: 10 MB
% 0.58/0.44 % (669182)Instructions burned: 12 (million)
% 0.58/0.44 % (669187)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=867072065:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.58/0.44 % (669185)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
% 0.58/0.44 % (669185)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.44 % (669185)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1931551366:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.58/0.44 % (669189)lrs+10_1_si=on:cs=on:random_seed=2991750699:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.58/0.44 % (669190)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.58/0.44 % (669189)Instruction limit reached!
% 0.58/0.44 % (669189)------------------------------
% 0.58/0.44 % (669189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669189)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669189)Termination reason: Instruction limit
% 0.58/0.44 % (669189)Termination phase: shuffling
% 0.58/0.44 % (669189)Time elapsed: 0.005 s
% 0.58/0.44 % (669189)Peak memory usage: 10 MB
% 0.58/0.44 % (669189)Instructions burned: 10 (million)
% 0.58/0.44 % (669190)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=3102136168:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.44 % (669185)Instruction limit reached!
% 0.58/0.44 % (669185)------------------------------
% 0.58/0.44 % (669185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669185)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669185)Termination reason: Instruction limit
% 0.58/0.44 % (669185)Termination phase: shuffling
% 0.58/0.44 % (669185)Time elapsed: 0.014 s
% 0.58/0.44 % (669185)Peak memory usage: 11 MB
% 0.58/0.44 % (669185)Instructions burned: 30 (million)
% 0.58/0.44 % (669190)Instruction limit reached!
% 0.58/0.44 % (669190)------------------------------
% 0.58/0.44 % (669190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669190)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669190)Termination reason: Instruction limit
% 0.58/0.44 % (669190)Termination phase: shuffling
% 0.58/0.44 % (669190)Time elapsed: 0.002 s
% 0.58/0.44 % (669190)Peak memory usage: 10 MB
% 0.58/0.44 % (669190)Instructions burned: 3 (million)
% 0.58/0.44 % (669187)Instruction limit reached!
% 0.58/0.44 % (669187)------------------------------
% 0.58/0.44 % (669187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669187)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669187)Termination reason: Instruction limit
% 0.58/0.44 % (669187)Termination phase: Preprocessing 3
% 0.58/0.44 % (669187)Time elapsed: 0.021 s
% 0.58/0.44 % (669187)Peak memory usage: 11 MB
% 0.58/0.44 % (669187)Instructions burned: 90 (million)
% 0.58/0.44 % (669165)Instruction limit reached!
% 0.58/0.44 % (669165)------------------------------
% 0.58/0.44 % (669165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669165)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669165)Termination reason: Instruction limit
% 0.58/0.44 % (669165)Termination phase: Property scanning
% 0.58/0.44 % (669165)Time elapsed: 0.070 s
% 0.58/0.44 % (669165)Peak memory usage: 12 MB
% 0.58/0.44 % (669165)Instructions burned: 87 (million)
% 0.58/0.44 % (669198)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1398139786:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.58/0.44 % (669171)Instruction limit reached!
% 0.58/0.44 % (669171)------------------------------
% 0.58/0.44 % (669171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669171)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669171)Termination reason: Instruction limit
% 0.58/0.44 % (669171)Termination phase: Saturation
% 0.58/0.44 % (669171)Time elapsed: 0.074 s
% 0.58/0.44 % (669171)Peak memory usage: 14 MB
% 0.58/0.44 % (669171)Instructions burned: 157 (million)
% 0.58/0.44 % (669195)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3510161954:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.58/0.44 % (669198)Instruction limit reached!
% 0.58/0.44 % (669198)------------------------------
% 0.58/0.44 % (669198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669198)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669198)Termination reason: Instruction limit
% 0.58/0.44 % (669198)Termination phase: shuffling
% 0.58/0.44 % (669198)Time elapsed: 0.004 s
% 0.58/0.44 % (669198)Peak memory usage: 10 MB
% 0.58/0.44 % (669198)Instructions burned: 18 (million)
% 0.58/0.44 % (669196)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3119808560:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.58/0.44 % (669197)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3400442729:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.58/0.44 % (669199)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3236283159:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.58/0.44 % (669197)Instruction limit reached!
% 0.58/0.44 % (669197)------------------------------
% 0.58/0.44 % (669197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669197)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669197)Termination reason: Instruction limit
% 0.58/0.44 % (669197)Termination phase: Property scanning
% 0.58/0.44 % (669197)Time elapsed: 0.011 s
% 0.58/0.44 % (669197)Peak memory usage: 10 MB
% 0.58/0.44 % (669197)Instructions burned: 25 (million)
% 0.58/0.44 % (669195)Instruction limit reached!
% 0.58/0.44 % (669195)------------------------------
% 0.58/0.44 % (669195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669195)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669195)Termination reason: Instruction limit
% 0.58/0.44 % (669195)Termination phase: Property scanning
% 0.58/0.44 % (669195)Time elapsed: 0.017 s
% 0.58/0.44 % (669195)Peak memory usage: 10 MB
% 0.58/0.44 % (669195)Instructions burned: 38 (million)
% 0.58/0.44 % (669204)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=768667034:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.58/0.44 % (669204)Instruction limit reached!
% 0.58/0.44 % (669204)------------------------------
% 0.58/0.44 % (669204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669204)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669204)Termination reason: Instruction limit
% 0.58/0.44 % (669204)Termination phase: shuffling
% 0.58/0.44 % (669204)Time elapsed: 0.002 s
% 0.58/0.44 % (669204)Peak memory usage: 10 MB
% 0.58/0.44 % (669204)Instructions burned: 3 (million)
% 0.58/0.44 % (669202)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4015020776:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.58/0.44 % (669207)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2704542046:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.58/0.44 % (669208)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3467266214:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.58/0.44 % (669210)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3783899269:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.58/0.44 % (669196) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-669160-669196"...
% 0.58/0.44 % (669196)...printing done.
% 0.58/0.44 % (669202)Instruction limit reached!
% 0.58/0.44 % (669202)------------------------------
% 0.58/0.44 % (669202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669202)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669202)Termination reason: Instruction limit
% 0.58/0.44 % (669202)Termination phase: shuffling
% 0.58/0.44 % (669202)Time elapsed: 0.014 s
% 0.58/0.44 % (669202)Peak memory usage: 11 MB
% 0.58/0.44 % (669196)Refutation found. Thanks to Tanya!
% 0.58/0.44 % SZS status Theorem for theBenchmark
% 0.58/0.44 % SZS output start Proof for theBenchmark
% 0.58/0.44 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 0.58/0.44 thf(type_def_6, type, sum_sum: ($tType * $tType) > $tType).
% 0.58/0.44 thf(type_def_7, type, dtree: $tType).
% 0.58/0.44 thf(type_def_8, type, set: $tType > $tType).
% 0.58/0.44 thf(type_def_9, type, t: $tType).
% 0.58/0.44 thf(type_def_10, type, n: $tType).
% 0.58/0.44 thf(type_def_11, type, itself: $tType > $tType).
% 0.58/0.44 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.58/0.44 thf(func_def_0, type, finite_finite: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.58/0.44 thf(func_def_1, type, node: (n > set @ sum_sum @ t @ dtree > dtree)).
% 0.58/0.44 thf(func_def_2, type, cont: (dtree > set @ sum_sum @ t @ dtree)).
% 0.58/0.44 thf(func_def_3, type, root: (dtree > n)).
% 0.58/0.44 thf(func_def_4, type, unfold: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree))).
% 0.58/0.44 thf(func_def_5, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 0.58/0.44 thf(func_def_6, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 0.58/0.44 thf(func_def_7, type, id: !>[X0: $tType]:((X0 > X0))).
% 0.58/0.44 thf(func_def_8, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 0.58/0.44 thf(func_def_9, type, gram_L1451583632elle_P: set @ product_prod @ n @ set @ sum_sum @ t @ n).
% 0.58/0.44 thf(func_def_10, type, gram_L1451583635elle_S: (n > set @ sum_sum @ t @ n)).
% 0.58/0.44 thf(func_def_11, type, gram_L1231612515_deftr: (n > dtree)).
% 0.58/0.44 thf(func_def_12, type, gram_L1004374585hsubst: (dtree > dtree > dtree)).
% 0.58/0.44 thf(func_def_13, type, gram_L1905609002ubst_c: (dtree > dtree > set @ sum_sum @ t @ dtree)).
% 0.58/0.44 thf(func_def_14, type, gram_L1905609017ubst_r: (dtree > n)).
% 0.58/0.44 thf(func_def_15, type, gram_L1333338417e_inFr: (set @ n > dtree > t > $o)).
% 0.58/0.44 thf(func_def_16, type, gram_L805317441_inFr2: (set @ n > dtree > t > $o)).
% 0.58/0.44 thf(func_def_17, type, gram_L805317505_inFrr: (set @ n > dtree > t > $o)).
% 0.58/0.44 thf(func_def_18, type, gram_L830233218_inItr: (set @ n > dtree > n > $o)).
% 0.58/0.44 thf(func_def_19, type, gram_L716654942_subtr: (set @ n > dtree > dtree > $o)).
% 0.58/0.44 thf(func_def_20, type, gram_L1283001940subtr2: (set @ n > dtree > dtree > $o)).
% 0.58/0.44 thf(func_def_21, type, gram_L1614515765ubtrOf: (dtree > n > dtree)).
% 0.58/0.44 thf(func_def_22, type, gram_L864798063lle_wf: (dtree > $o)).
% 0.58/0.44 thf(func_def_23, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.58/0.44 thf(func_def_24, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.58/0.44 thf(func_def_25, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.58/0.44 thf(func_def_26, type, type: !>[X0: $tType]:(itself @ X0)).
% 0.58/0.44 thf(func_def_27, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.58/0.44 thf(func_def_28, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 0.58/0.44 thf(func_def_29, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.58/0.44 thf(func_def_30, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 0.58/0.44 thf(func_def_31, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 0.58/0.44 thf(func_def_32, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 0.58/0.44 thf(func_def_33, type, sum_map_sum: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > sum_sum @ X0 @ X2 > sum_sum @ X1 @ X3))).
% 0.58/0.44 thf(func_def_34, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 0.58/0.44 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.58/0.44 thf(func_def_36, type, tr: dtree).
% 0.58/0.44 thf(func_def_37, type, tr0: dtree).
% 0.58/0.44 thf(func_def_41, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.58/0.44 thf(func_def_42, type, vOR: ($o > $o > $o)).
% 0.58/0.44 thf(func_def_43, type, vAND: ($o > $o > $o)).
% 0.58/0.44 thf(func_def_44, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.58/0.44 thf(func_def_45, type, db1: !>[X0: $tType]:(X0)).
% 0.58/0.44 thf(func_def_46, type, db0: !>[X0: $tType]:(X0)).
% 0.58/0.44 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.58/0.44 thf(func_def_48, type, vIMP: ($o > $o > $o)).
% 0.58/0.44 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.58/0.44 thf(func_def_50, type, db4: !>[X0: $tType]:(X0)).
% 0.58/0.44 thf(func_def_51, type, db5: !>[X0: $tType]:(X0)).
% 0.58/0.44 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 0.58/0.44 thf(func_def_53, type, db3: !>[X0: $tType]:(X0)).
% 0.58/0.44 thf(func_def_54, type, db6: !>[X0: $tType]:(X0)).
% 0.58/0.44 thf(func_def_55, type, vNOT: ($o > $o)).
% 0.58/0.44 thf(func_def_56, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType]:((sum_sum @ X1 @ X2 > (X2 > X0) > X0 > X2))).
% 0.58/0.44 thf(func_def_57, type, sK1: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 0.58/0.44 thf(func_def_58, type, sK2: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X0))).
% 0.58/0.44 thf(func_def_59, type, sK3: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.58/0.44 thf(func_def_60, type, sK4: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X0))).
% 0.58/0.44 thf(func_def_61, type, sK5: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 0.58/0.44 thf(func_def_62, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X1 > X2) > set @ sum_sum @ X0 @ X1 > X1))).
% 0.58/0.44 thf(func_def_63, type, sK7: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 0.58/0.44 thf(func_def_64, type, sK8: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 0.58/0.44 thf(func_def_65, type, sK9: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 0.58/0.44 thf(func_def_66, type, sK10: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 0.58/0.44 thf(func_def_67, type, sK11: !>[X0: $tType, X1: $tType]:(((sum_sum @ X0 @ X1 > $o) > X0))).
% 0.58/0.44 thf(func_def_68, type, sK12: !>[X0: $tType, X1: $tType]:(((sum_sum @ X0 @ X1 > $o) > X1))).
% 0.58/0.44 thf(func_def_69, type, sK13: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > $o) > X1))).
% 0.58/0.44 thf(func_def_70, type, sK14: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 0.58/0.44 thf(func_def_71, type, sK15: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 0.58/0.44 thf(func_def_72, type, sK16: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 0.58/0.44 thf(func_def_73, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > X2 > sum_sum @ X1 @ X0 > X1))).
% 0.58/0.44 thf(func_def_74, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (sum_sum @ X2 @ X1 > X0) > $o > X2))).
% 0.58/0.44 thf(func_def_75, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (sum_sum @ X2 @ X1 > X0) > $o > X1))).
% 0.58/0.44 thf(f3,axiom,(
% 0.58/0.44 ! [X0 : $tType,X2 : $tType,X1 : $tType,X3 : (X1 > X0),X4 : set @ sum_sum @ X2 @ X1] : (((vimage @ X2 @ sum_sum @ X2 @ X0 @ sum_Inl @ X2 @ X0 @ (image @ sum_sum @ X2 @ X1 @ sum_sum @ X2 @ X0 @ (sum_map_sum @ X2 @ X2 @ X1 @ X0 @ id @ X2 @ X3) @ X4))) = ((vimage @ X2 @ sum_sum @ X2 @ X1 @ sum_Inl @ X2 @ X1 @ X4)))),
% 0.58/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Inl__m__oplus)).
% 0.58/0.44 thf(f30,axiom,(
% 0.58/0.44 ! [X0 : $tType] : ((^[X1 : X0] : (X1)) = id @ X0)),
% 0.58/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_id__def)).
% 0.58/0.44 thf(f265,conjecture,(
% 0.58/0.44 (((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ id @ t @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr)))) = ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr))))),
% 0.58/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.58/0.44 thf(f266,negated_conjecture,(
% 0.58/0.44 ~ (((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ id @ t @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr)))) = ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr))))),
% 0.58/0.44 inference(negated_conjecture,[status(cth)],[f265])).
% 0.58/0.44 thf(f416,plain,(
% 0.58/0.44 ! [X0 : $tType] : (id @ X0 = (^[Y0 : X0]: (Y0)))),
% 0.58/0.44 inference(fool_elimination,[],[f30])).
% 0.58/0.44 thf(f600,plain,(
% 0.58/0.44 (((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ id @ t @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr)))) != ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr))))),
% 0.58/0.44 inference(flattening,[],[f266])).
% 0.58/0.44 thf(f606,plain,(
% 0.58/0.44 ! [X2 : $tType,X0 : $tType,X1 : $tType,X4 : set @ sum_sum @ X1 @ X2,X3 : (X2 > X0)] : (((vimage @ X1 @ sum_sum @ X1 @ X0 @ sum_Inl @ X1 @ X0 @ (image @ sum_sum @ X1 @ X2 @ sum_sum @ X1 @ X0 @ (sum_map_sum @ X1 @ X1 @ X2 @ X0 @ id @ X1 @ X3) @ X4))) = ((vimage @ X1 @ sum_sum @ X1 @ X2 @ sum_Inl @ X1 @ X2 @ X4)))),
% 0.58/0.44 inference(rectify,[],[f3])).
% 0.58/0.44 thf(f759,plain,(
% 0.58/0.44 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : set @ sum_sum @ X2 @ X0,X4 : (X0 > X1)] : (((vimage @ X2 @ sum_sum @ X2 @ X1 @ sum_Inl @ X2 @ X1 @ (image @ sum_sum @ X2 @ X0 @ sum_sum @ X2 @ X1 @ (sum_map_sum @ X2 @ X2 @ X0 @ X1 @ id @ X2 @ X4) @ X3))) = ((vimage @ X2 @ sum_sum @ X2 @ X0 @ sum_Inl @ X2 @ X0 @ X3)))),
% 0.58/0.44 inference(rectify,[],[f606])).
% 0.58/0.44 thf(f794,plain,(
% 0.58/0.44 ( ! [X0 : $tType] : ((id @ X0 = (^[Y0 : X0]: (Y0)))) )),
% 0.58/0.44 inference(cnf_transformation,[],[f416])).
% 0.58/0.44 thf(f836,plain,(
% 0.58/0.44 (((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ id @ t @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr)))) != ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr))))),
% 0.58/0.44 inference(cnf_transformation,[],[f600])).
% 0.58/0.44 thf(f858,plain,(
% 0.58/0.44 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : set @ sum_sum @ X2 @ X0,X4 : (X0 > X1)] : ((((vimage @ X2 @ sum_sum @ X2 @ X1 @ sum_Inl @ X2 @ X1 @ (image @ sum_sum @ X2 @ X0 @ sum_sum @ X2 @ X1 @ (sum_map_sum @ X2 @ X2 @ X0 @ X1 @ id @ X2 @ X4) @ X3))) = ((vimage @ X2 @ sum_sum @ X2 @ X0 @ sum_Inl @ X2 @ X0 @ X3)))) )),
% 0.58/0.44 inference(cnf_transformation,[],[f759])).
% 0.58/0.44 thf(f888,plain,(
% 0.58/0.44 (((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (cont @ tr))) != ((vimage @ t @ sum_sum @ t @ dtree @ sum_Inl @ t @ dtree @ (image @ sum_sum @ t @ dtree @ sum_sum @ t @ dtree @ (sum_map_sum @ t @ t @ dtree @ dtree @ (^[Y0 : t]: (Y0)) @ (gram_L1004374585hsubst @ tr0)) @ (cont @ tr)))))),
% 0.58/0.44 inference(definition_unfolding,[],[f836,f794])).
% 0.58/0.44 thf(f894,plain,(
% 0.58/0.44 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : set @ sum_sum @ X2 @ X0,X4 : (X0 > X1)] : ((((vimage @ X2 @ sum_sum @ X2 @ X0 @ sum_Inl @ X2 @ X0 @ X3)) = ((vimage @ X2 @ sum_sum @ X2 @ X1 @ sum_Inl @ X2 @ X1 @ (image @ sum_sum @ X2 @ X0 @ sum_sum @ X2 @ X1 @ (sum_map_sum @ X2 @ X2 @ X0 @ X1 @ (^[Y0 : X2]: (Y0)) @ X4) @ X3))))) )),
% 0.58/0.44 inference(definition_unfolding,[],[f858,f794])).
% 0.58/0.44 thf(f915,plain,(
% 0.58/0.44 $false),
% 0.58/0.44 inference(forward_subsumption_resolution,[],[f888,f894])).
% 0.58/0.44 % SZS output end Proof for theBenchmark
% 0.58/0.44 % (669196)------------------------------
% 0.58/0.44 % (669196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (669196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (669196)CaDiCaL version: 2.1.3
% 0.58/0.44 % (669196)Termination reason: Refutation
% 0.58/0.44 % (669196)Time elapsed: 0.040 s
% 0.58/0.44 % (669196)Peak memory usage: 13 MB
% 0.58/0.44 % (669196)Instructions burned: 81 (million)
% 0.58/0.44 % (669160)Success in time 0.174 s
% 0.58/0.44 % Vampire exiting
%------------------------------------------------------------------------------