%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT192^1 : 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 07:48:31 AM UTC 2026
% Result : Theorem 1.45s 0.55s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT192^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 18:10:07 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.26 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
% 0.71/0.40 % (1652849)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.40 % (1652858)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=845342506:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.40 % (1652860)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.40 % (1652860)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
% 0.71/0.40 % (1652858)Instruction limit reached!
% 0.71/0.40 % (1652858)------------------------------
% 0.71/0.40 % (1652858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1652858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1652858)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1652858)Termination reason: Instruction limit
% 0.71/0.40 % (1652858)Termination phase: Property scanning
% 0.71/0.40 % (1652858)Time elapsed: 0.006 s
% 0.71/0.40 % (1652858)Peak memory usage: 10 MB
% 0.71/0.40 % (1652858)Instructions burned: 27 (million)
% 0.71/0.40 % (1652854)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1812443644:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.40 % (1652855)lrs+10_16_si=on:nwc=1.5:random_seed=2221914482:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.40 % (1652856)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1787655160:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.40 % (1652857)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=2941332223: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)
% 0.71/0.40 % (1652859)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3364847672:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.40 % (1652860)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=1580532900:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.40 % (1652856)Instruction limit reached!
% 0.71/0.40 % (1652856)------------------------------
% 0.71/0.40 % (1652856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1652856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1652856)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1652856)Termination reason: Instruction limit
% 0.71/0.40 % (1652856)Termination phase: shuffling
% 0.71/0.40 % (1652856)Time elapsed: 0.002 s
% 0.71/0.40 % (1652856)Peak memory usage: 10 MB
% 0.71/0.40 % (1652856)Instructions burned: 3 (million)
% 0.71/0.40 % (1652863)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2049560922:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.40 % (1652855)Instruction limit reached!
% 0.71/0.40 % (1652855)------------------------------
% 0.71/0.40 % (1652855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1652855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1652855)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1652855)Termination reason: Instruction limit
% 0.71/0.40 % (1652855)Termination phase: Property scanning
% 0.71/0.40 % (1652855)Time elapsed: 0.010 s
% 0.71/0.40 % (1652855)Peak memory usage: 10 MB
% 0.71/0.40 % (1652855)Instructions burned: 20 (million)
% 0.71/0.40 % (1652863)Instruction limit reached!
% 0.71/0.40 % (1652863)------------------------------
% 0.71/0.40 % (1652863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1652863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1652863)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1652863)Termination reason: Instruction limit
% 0.71/0.40 % (1652863)Termination phase: shuffling
% 0.71/0.40 % (1652863)Time elapsed: 0.0000 s
% 0.71/0.40 % (1652863)Peak memory usage: 10 MB
% 0.71/0.40 % (1652863)Instructions burned: 2 (million)
% 0.71/0.40 % (1652871)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.43 % (1652871)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3711458990:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.43 % (1652869)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2366689582:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.43 % (1652871)Instruction limit reached!
% 0.71/0.43 % (1652871)------------------------------
% 0.71/0.43 % (1652871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (1652871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (1652871)CaDiCaL version: 2.1.3
% 0.71/0.43 % (1652871)Termination reason: Instruction limit
% 0.71/0.43 % (1652871)Termination phase: shuffling
% 0.71/0.43 % (1652871)Time elapsed: 0.003 s
% 0.71/0.43 % (1652871)Peak memory usage: 10 MB
% 0.71/0.43 % (1652871)Instructions burned: 11 (million)
% 0.71/0.43 % (1652869)Instruction limit reached!
% 0.71/0.43 % (1652869)------------------------------
% 0.71/0.43 % (1652869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (1652869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (1652869)CaDiCaL version: 2.1.3
% 0.71/0.43 % (1652869)Termination reason: Instruction limit
% 0.71/0.43 % (1652869)Termination phase: shuffling
% 0.71/0.43 % (1652869)Time elapsed: 0.003 s
% 0.71/0.43 % (1652869)Peak memory usage: 10 MB
% 0.71/0.43 % (1652869)Instructions burned: 5 (million)
% 0.71/0.43 % (1652875)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
% 0.71/0.43 % (1652875)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.43 % (1652875)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=703487929:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.43 % (1652872)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1360007451:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.43 % (1652859)Instruction limit reached!
% 0.71/0.43 % (1652859)------------------------------
% 0.71/0.43 % (1652859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (1652859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (1652859)CaDiCaL version: 2.1.3
% 0.71/0.43 % (1652859)Termination reason: Instruction limit
% 0.71/0.43 % (1652859)Termination phase: Function definition elimination
% 0.71/0.43 % (1652859)Time elapsed: 0.036 s
% 0.71/0.43 % (1652859)Peak memory usage: 12 MB
% 0.71/0.43 % (1652859)Instructions burned: 76 (million)
% 0.71/0.43 % (1652854)Instruction limit reached!
% 0.71/0.43 % (1652854)------------------------------
% 0.71/0.43 % (1652854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (1652854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (1652854)CaDiCaL version: 2.1.3
% 0.71/0.43 % (1652854)Termination reason: Instruction limit
% 0.71/0.43 % (1652854)Termination phase: Property scanning
% 0.71/0.43 % (1652854)Time elapsed: 0.041 s
% 0.71/0.43 % (1652854)Peak memory usage: 12 MB
% 0.71/0.43 % (1652854)Instructions burned: 88 (million)
% 0.71/0.43 % (1652875)Instruction limit reached!
% 0.71/0.43 % (1652875)------------------------------
% 0.71/0.43 % (1652875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (1652875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (1652875)CaDiCaL version: 2.1.3
% 0.71/0.43 % (1652875)Termination reason: Instruction limit
% 0.71/0.43 % (1652875)Termination phase: shuffling
% 0.71/0.43 % (1652875)Time elapsed: 0.007 s
% 0.71/0.43 % (1652875)Peak memory usage: 10 MB
% 0.71/0.43 % (1652875)Instructions burned: 29 (million)
% 0.71/0.43 % (1652876)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=2936946550:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.43 % (1652872)Instruction limit reached!
% 0.71/0.43 % (1652872)------------------------------
% 0.71/0.43 % (1652872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.47 % (1652872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.47 % (1652872)CaDiCaL version: 2.1.3
% 0.71/0.47 % (1652872)Termination reason: Instruction limit
% 0.71/0.47 % (1652872)Termination phase: shuffling
% 0.71/0.47 % (1652872)Time elapsed: 0.011 s
% 0.71/0.47 % (1652872)Peak memory usage: 10 MB
% 0.71/0.47 % (1652872)Instructions burned: 15 (million)
% 0.71/0.47 % (1652880)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.47 % (1652880)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=2368813024:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.47 % (1652880)Instruction limit reached!
% 0.71/0.47 % (1652880)------------------------------
% 0.71/0.47 % (1652880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.47 % (1652880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.47 % (1652880)CaDiCaL version: 2.1.3
% 0.71/0.47 % (1652880)Termination reason: Instruction limit
% 0.71/0.47 % (1652880)Termination phase: shuffling
% 0.71/0.47 % (1652880)Time elapsed: 0.001 s
% 0.71/0.47 % (1652880)Peak memory usage: 10 MB
% 0.71/0.47 % (1652880)Instructions burned: 4 (million)
% 0.71/0.47 % (1652881)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1637303397:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.71/0.47 % (1652879)lrs+10_1_si=on:cs=on:random_seed=721782836:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.47 % (1652885)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1388914795:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.71/0.47 % (1652883)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1062106015:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.71/0.47 % (1652879)Instruction limit reached!
% 0.71/0.47 % (1652879)------------------------------
% 0.71/0.47 % (1652879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.47 % (1652879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.47 % (1652879)CaDiCaL version: 2.1.3
% 0.71/0.47 % (1652879)Termination reason: Instruction limit
% 0.71/0.47 % (1652879)Termination phase: shuffling
% 0.71/0.47 % (1652879)Time elapsed: 0.008 s
% 0.71/0.47 % (1652879)Peak memory usage: 10 MB
% 0.71/0.47 % (1652879)Instructions burned: 9 (million)
% 0.71/0.47 % (1652885)Instruction limit reached!
% 0.71/0.47 % (1652885)------------------------------
% 0.71/0.47 % (1652885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.47 % (1652885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.47 % (1652885)CaDiCaL version: 2.1.3
% 0.71/0.47 % (1652885)Termination reason: Instruction limit
% 0.71/0.47 % (1652885)Termination phase: Property scanning
% 0.71/0.47 % (1652885)Time elapsed: 0.007 s
% 0.71/0.47 % (1652885)Peak memory usage: 10 MB
% 0.71/0.47 % (1652885)Instructions burned: 28 (million)
% 0.71/0.47 % (1652881)Instruction limit reached!
% 0.71/0.47 % (1652881)------------------------------
% 0.71/0.47 % (1652881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.47 % (1652881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.47 % (1652881)CaDiCaL version: 2.1.3
% 0.71/0.47 % (1652881)Termination reason: Instruction limit
% 0.71/0.47 % (1652881)Termination phase: Preprocessing 3
% 0.71/0.47 % (1652881)Time elapsed: 0.018 s
% 0.71/0.47 % (1652881)Peak memory usage: 11 MB
% 0.71/0.47 % (1652881)Instructions burned: 38 (million)
% 0.71/0.47 % (1652890)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=944909236:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.47 % (1652860)Instruction limit reached!
% 0.71/0.47 % (1652860)------------------------------
% 0.71/0.47 % (1652860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.47 % (1652860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.47 % (1652860)CaDiCaL version: 2.1.3
% 0.71/0.47 % (1652860)Termination reason: Instruction limit
% 0.71/0.47 % (1652860)Termination phase: Saturation
% 1.45/0.54 % (1652860)Time elapsed: 0.078 s
% 1.45/0.54 % (1652860)Peak memory usage: 14 MB
% 1.45/0.54 % (1652860)Instructions burned: 158 (million)
% 1.45/0.54 % (1652876)Instruction limit reached!
% 1.45/0.54 % (1652876)------------------------------
% 1.45/0.54 % (1652876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (1652876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (1652876)CaDiCaL version: 2.1.3
% 1.45/0.54 % (1652876)Termination reason: Instruction limit
% 1.45/0.54 % (1652876)Termination phase: Preprocessing 3
% 1.45/0.54 % (1652876)Time elapsed: 0.037 s
% 1.45/0.54 % (1652876)Peak memory usage: 11 MB
% 1.45/0.54 % (1652876)Instructions burned: 86 (million)
% 1.45/0.54 % (1652890)Instruction limit reached!
% 1.45/0.54 % (1652890)------------------------------
% 1.45/0.54 % (1652890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (1652890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (1652890)CaDiCaL version: 2.1.3
% 1.45/0.54 % (1652890)Termination reason: Instruction limit
% 1.45/0.54 % (1652890)Termination phase: shuffling
% 1.45/0.54 % (1652890)Time elapsed: 0.004 s
% 1.45/0.54 % (1652890)Peak memory usage: 10 MB
% 1.45/0.54 % (1652890)Instructions burned: 14 (million)
% 1.45/0.54 % (1652891)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=245090530:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.45/0.54 % (1652896)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1110583550:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.54 % (1652892)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4086835859:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.45/0.54 % (1652894)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1365785376:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.45/0.54 % (1652896)Instruction limit reached!
% 1.45/0.54 % (1652896)------------------------------
% 1.45/0.54 % (1652896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (1652896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (1652896)CaDiCaL version: 2.1.3
% 1.45/0.54 % (1652896)Termination reason: Instruction limit
% 1.45/0.54 % (1652896)Termination phase: Property scanning
% 1.45/0.54 % (1652896)Time elapsed: 0.006 s
% 1.45/0.54 % (1652896)Peak memory usage: 10 MB
% 1.45/0.54 % (1652896)Instructions burned: 24 (million)
% 1.45/0.54 % (1652895)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1003385501:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.45/0.54 % (1652894)Instruction limit reached!
% 1.45/0.54 % (1652894)------------------------------
% 1.45/0.54 % (1652894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (1652894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (1652894)CaDiCaL version: 2.1.3
% 1.45/0.54 % (1652894)Termination reason: Instruction limit
% 1.45/0.54 % (1652894)Termination phase: shuffling
% 1.45/0.54 % (1652894)Time elapsed: 0.002 s
% 1.45/0.54 % (1652894)Peak memory usage: 10 MB
% 1.45/0.54 % (1652894)Instructions burned: 2 (million)
% 1.45/0.54 % (1652892)Instruction limit reached!
% 1.45/0.54 % (1652892)------------------------------
% 1.45/0.54 % (1652892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (1652892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (1652892)CaDiCaL version: 2.1.3
% 1.45/0.54 % (1652892)Termination reason: Instruction limit
% 1.45/0.54 % (1652892)Termination phase: shuffling
% 1.45/0.54 % (1652892)Time elapsed: 0.007 s
% 1.45/0.54 % (1652892)Peak memory usage: 10 MB
% 1.45/0.54 % (1652892)Instructions burned: 15 (million)
% 1.45/0.54 % (1652902)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1715322483:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.45/0.54 % (1652895)Instruction limit reached!
% 1.45/0.54 % (1652895)------------------------------
% 1.45/0.54 % (1652895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (1652895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652895)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652895)Termination reason: Instruction limit
% 1.45/0.55 % (1652895)Termination phase: shuffling
% 1.45/0.55 % (1652895)Time elapsed: 0.013 s
% 1.45/0.55 % (1652895)Peak memory usage: 10 MB
% 1.45/0.55 % (1652895)Instructions burned: 28 (million)
% 1.45/0.55 % (1652903)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.45/0.55 % (1652903)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.45/0.55 % (1652904)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.45/0.55 % (1652903)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3886946214:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.45/0.55 % (1652904)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=10595048:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.45/0.55 % (1652902)Instruction limit reached!
% 1.45/0.55 % (1652902)------------------------------
% 1.45/0.55 % (1652902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652902)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652902)Termination reason: Instruction limit
% 1.45/0.55 % (1652902)Termination phase: Property scanning
% 1.45/0.55 % (1652902)Time elapsed: 0.015 s
% 1.45/0.55 % (1652902)Peak memory usage: 11 MB
% 1.45/0.55 % (1652902)Instructions burned: 62 (million)
% 1.45/0.55 % (1652903)Instruction limit reached!
% 1.45/0.55 % (1652903)------------------------------
% 1.45/0.55 % (1652903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652903)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652903)Termination reason: Instruction limit
% 1.45/0.55 % (1652903)Termination phase: shuffling
% 1.45/0.55 % (1652903)Time elapsed: 0.007 s
% 1.45/0.55 % (1652903)Peak memory usage: 10 MB
% 1.45/0.55 % (1652903)Instructions burned: 15 (million)
% 1.45/0.55 % (1652904)Instruction limit reached!
% 1.45/0.55 % (1652904)------------------------------
% 1.45/0.55 % (1652904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652904)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652904)Termination reason: Instruction limit
% 1.45/0.55 % (1652904)Termination phase: shuffling
% 1.45/0.55 % (1652904)Time elapsed: 0.009 s
% 1.45/0.55 % (1652904)Peak memory usage: 10 MB
% 1.45/0.55 % (1652904)Instructions burned: 18 (million)
% 1.45/0.55 % (1652906)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=92064462:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.45/0.55 % (1652909)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1759462652:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.55 % (1652909)Instruction limit reached!
% 1.45/0.55 % (1652909)------------------------------
% 1.45/0.55 % (1652909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652909)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652909)Termination reason: Instruction limit
% 1.45/0.55 % (1652909)Termination phase: shuffling
% 1.45/0.55 % (1652909)Time elapsed: 0.002 s
% 1.45/0.55 % (1652909)Peak memory usage: 10 MB
% 1.45/0.55 % (1652909)Instructions burned: 10 (million)
% 1.45/0.55 % (1652910)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2780809381:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.55 % (1652906)Instruction limit reached!
% 1.45/0.55 % (1652906)------------------------------
% 1.45/0.55 % (1652906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652906)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652906)Termination reason: Instruction limit
% 1.45/0.55 % (1652906)Termination phase: shuffling
% 1.45/0.55 % (1652906)Time elapsed: 0.014 s
% 1.45/0.55 % (1652906)Peak memory usage: 10 MB
% 1.45/0.55 % (1652906)Instructions burned: 32 (million)
% 1.45/0.55 % (1652914)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3087993598:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.45/0.55 % (1652912)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4146472975:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.45/0.55 % (1652910)Instruction limit reached!
% 1.45/0.55 % (1652910)------------------------------
% 1.45/0.55 % (1652910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652910)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652910)Termination reason: Instruction limit
% 1.45/0.55 % (1652910)Termination phase: shuffling
% 1.45/0.55 % (1652910)Time elapsed: 0.011 s
% 1.45/0.55 % (1652910)Peak memory usage: 10 MB
% 1.45/0.55 % (1652910)Instructions burned: 24 (million)
% 1.45/0.55 % (1652912)Instruction limit reached!
% 1.45/0.55 % (1652912)------------------------------
% 1.45/0.55 % (1652912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652912)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652912)Termination reason: Instruction limit
% 1.45/0.55 % (1652912)Termination phase: Property scanning
% 1.45/0.55 % (1652912)Time elapsed: 0.010 s
% 1.45/0.55 % (1652912)Peak memory usage: 10 MB
% 1.45/0.55 % (1652912)Instructions burned: 20 (million)
% 1.45/0.55 % (1652916)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=444371025:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.45/0.55 % (1652919)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=930725229:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.45/0.55 % (1652920)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4176229897:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.45/0.55 % (1652883)Instruction limit reached!
% 1.45/0.55 % (1652883)------------------------------
% 1.45/0.55 % (1652883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652883)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652883)Termination reason: Instruction limit
% 1.45/0.55 % (1652883)Termination phase: Saturation
% 1.45/0.55 % (1652883)Time elapsed: 0.124 s
% 1.45/0.55 % (1652883)Peak memory usage: 14 MB
% 1.45/0.55 % (1652883)Instructions burned: 249 (million)
% 1.45/0.55 % (1652920)Instruction limit reached!
% 1.45/0.55 % (1652920)------------------------------
% 1.45/0.55 % (1652920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652920)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652920)Termination reason: Instruction limit
% 1.45/0.55 % (1652920)Termination phase: Preprocessing 3
% 1.45/0.55 % (1652920)Time elapsed: 0.020 s
% 1.45/0.55 % (1652920)Peak memory usage: 11 MB
% 1.45/0.55 % (1652920)Instructions burned: 43 (million)
% 1.45/0.55 % (1652924)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.45/0.55 % (1652924)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4225438150:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.45/0.55 % (1652924)Instruction limit reached!
% 1.45/0.55 % (1652924)------------------------------
% 1.45/0.55 % (1652924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652924)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652924)Termination reason: Instruction limit
% 1.45/0.55 % (1652924)Termination phase: shuffling
% 1.45/0.55 % (1652924)Time elapsed: 0.004 s
% 1.45/0.55 % (1652924)Peak memory usage: 10 MB
% 1.45/0.55 % (1652924)Instructions burned: 8 (million)
% 1.45/0.55 % (1652925)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2912524162:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.45/0.55 % (1652891) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1652849-1652891"...
% 1.45/0.55 % (1652891)...printing done.
% 1.45/0.55 % (1652891)Refutation found. Thanks to Tanya!
% 1.45/0.55 % SZS status Theorem for theBenchmark
% 1.45/0.55 % SZS output start Proof for theBenchmark
% 1.45/0.55 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 1.45/0.55 thf(type_def_6, type, set: $tType > $tType).
% 1.45/0.55 thf(type_def_7, type, itself: $tType > $tType).
% 1.45/0.55 thf(type_def_8, type, a: $tType).
% 1.45/0.55 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.45/0.55 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.45/0.55 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.45/0.55 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.45/0.55 thf(func_def_3, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.45/0.55 thf(func_def_4, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.45/0.55 thf(func_def_5, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.45/0.55 thf(func_def_6, type, coindu328551480prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 1.45/0.55 thf(func_def_7, type, coinductive_gen_lset: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > set @ X0))).
% 1.45/0.55 thf(func_def_8, type, coinductive_lappend: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_9, type, coindu351974385stinct: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 1.45/0.55 thf(func_def_10, type, coinductive_lfilter: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_11, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 1.45/0.55 thf(func_def_12, type, coinductive_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_13, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_14, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 1.45/0.55 thf(func_def_15, type, coindu1259883913_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coinductive_llist @ X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 1.45/0.55 thf(func_def_16, type, coinductive_lhd: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_17, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 1.45/0.55 thf(func_def_18, type, coinductive_lset: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0))).
% 1.45/0.55 thf(func_def_19, type, coinductive_lmember: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > $o))).
% 1.45/0.55 thf(func_def_20, type, coindu1478340336prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 1.45/0.55 thf(func_def_21, type, coindu63249387sorted: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 1.45/0.55 thf(func_def_22, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 1.45/0.55 thf(func_def_23, type, undefined: !>[X0: $tType]:(X0)).
% 1.45/0.55 thf(func_def_24, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.45/0.55 thf(func_def_25, type, lMirro427583474mirror: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_26, type, lMirro999291890or_aux: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_27, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.45/0.55 thf(func_def_28, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.45/0.55 thf(func_def_29, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.45/0.55 thf(func_def_30, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.45/0.55 thf(func_def_31, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.45/0.55 thf(func_def_32, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.45/0.55 thf(func_def_33, type, acc: coinductive_llist @ a).
% 1.45/0.55 thf(func_def_34, type, x: a).
% 1.45/0.55 thf(func_def_35, type, xs: coinductive_llist @ a).
% 1.45/0.55 thf(func_def_39, type, vOR: ($o > $o > $o)).
% 1.45/0.55 thf(func_def_40, type, db0: !>[X0: $tType]:(X0)).
% 1.45/0.55 thf(func_def_41, type, db1: !>[X0: $tType]:(X0)).
% 1.45/0.55 thf(func_def_42, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.45/0.55 thf(func_def_43, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.45/0.55 thf(func_def_44, type, vAND: ($o > $o > $o)).
% 1.45/0.55 thf(func_def_45, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.45/0.55 thf(func_def_46, type, vIMP: ($o > $o > $o)).
% 1.45/0.55 thf(func_def_47, type, vNOT: ($o > $o)).
% 1.45/0.55 thf(func_def_48, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.45/0.55 thf(func_def_49, type, db2: !>[X0: $tType]:(X0)).
% 1.45/0.55 thf(func_def_50, type, db3: !>[X0: $tType]:(X0)).
% 1.45/0.55 thf(func_def_51, type, db5: !>[X0: $tType]:(X0)).
% 1.45/0.55 thf(func_def_52, type, db4: !>[X0: $tType]:(X0)).
% 1.45/0.55 thf(func_def_53, type, sK0: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.45/0.55 thf(func_def_54, type, sK1: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_55, type, sK2: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_56, type, sK3: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_57, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.45/0.55 thf(func_def_58, type, sK5: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.45/0.55 thf(func_def_59, type, sK6: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_60, type, sK7: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_61, type, sK8: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_62, type, sK9: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_63, type, sK10: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_64, type, sK11: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 1.45/0.55 thf(func_def_65, type, sK12: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.45/0.55 thf(func_def_66, type, sK13: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_67, type, sK14: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > X0))).
% 1.45/0.55 thf(func_def_68, type, sK15: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_69, type, sK16: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.45/0.55 thf(func_def_70, type, sK17: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.45/0.55 thf(func_def_71, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.45/0.55 thf(func_def_72, type, sK19: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.45/0.55 thf(func_def_73, type, sK20: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_74, type, sK21: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_75, type, sK22: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_76, type, sK23: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_77, type, sK24: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > (X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_78, type, sK25: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > (X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_79, type, sK26: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_80, type, sK27: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 1.45/0.55 thf(func_def_81, type, sK28: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_82, type, sK29: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_83, type, sK30: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_84, type, sK31: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 1.45/0.55 thf(func_def_85, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.45/0.55 thf(func_def_86, type, sK33: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_87, type, sK34: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_88, type, sK35: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_89, type, sK36: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_90, type, sK37: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_91, type, sK38: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_92, type, sK39: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_93, type, sK40: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_94, type, sK41: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_95, type, sK42: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_96, type, sK43: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_97, type, sK44: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_98, type, sK45: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.45/0.55 thf(func_def_99, type, sK46: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.45/0.55 thf(func_def_100, type, sK47: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_101, type, sK48: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_102, type, sK49: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.45/0.55 thf(func_def_103, type, sK50: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_104, type, sK51: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_105, type, sK52: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_106, type, sK53: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_107, type, sK54: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_108, type, sK55: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_109, type, sK56: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_110, type, sK57: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_111, type, sK58: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_112, type, sK59: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_113, type, sK60: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 1.45/0.55 thf(func_def_114, type, sK61: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_115, type, sK62: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.45/0.55 thf(func_def_116, type, sK63: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_117, type, sK64: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 1.45/0.55 thf(func_def_118, type, sK65: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_119, type, sK66: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_120, type, sK67: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(func_def_121, type, sK68: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.45/0.55 thf(func_def_122, type, sK69: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 1.45/0.55 thf(func_def_123, type, sK70: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_124, type, sK71: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_125, type, sK72: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_126, type, sK73: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_127, type, sK74: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_128, type, sK75: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 1.45/0.55 thf(func_def_129, type, sK76: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 1.45/0.55 thf(f1,axiom,(
% 1.45/0.55 ! [X0 : $tType,X5 : coinductive_llist @ X0,X3 : coinductive_llist @ X0,X4 : X0] : (((lMirro999291890or_aux @ X0 @ X3 @ (coinductive_LCons @ X0 @ X4 @ X5))) = ((coinductive_LCons @ X0 @ X4 @ (lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ X4 @ X3) @ X5))))),
% 1.45/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_lmirror__aux__simps_I2_J)).
% 1.45/0.55 thf(f3,axiom,(
% 1.45/0.55 ! [X0 : $tType,X3 : coinductive_llist @ X0,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0] : (((lMirro999291890or_aux @ X0 @ (coinductive_lappend @ X0 @ X1 @ X2) @ X3)) = ((coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ X1 @ X3) @ X2)))),
% 1.45/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_lmirror__aux__acc)).
% 1.45/0.55 thf(f4,axiom,(
% 1.45/0.55 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (((coinductive_lappend @ X0 @ coinductive_LNil @ X0 @ X1)) = X1)),
% 1.45/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_lappend__code_I1_J)).
% 1.45/0.55 thf(f271,conjecture,(
% 1.45/0.55 (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) = ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ acc)))))),
% 1.45/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.45/0.55 thf(f272,negated_conjecture,(
% 1.45/0.55 ~ (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) = ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ acc)))))),
% 1.45/0.55 inference(negated_conjecture,[status(cth)],[f271])).
% 1.45/0.55 thf(f729,plain,(
% 1.45/0.55 (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ acc)))))),
% 1.45/0.55 inference(flattening,[],[f272])).
% 1.45/0.55 thf(f739,plain,(
% 1.45/0.55 ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : coinductive_llist @ X0,X3 : coinductive_llist @ X0] : (((lMirro999291890or_aux @ X0 @ (coinductive_lappend @ X0 @ X2 @ X3) @ X1)) = ((coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1) @ X3)))),
% 1.45/0.55 inference(rectify,[],[f3])).
% 1.45/0.55 thf(f748,plain,(
% 1.45/0.55 ! [X0 : $tType,X1 : coinductive_llist @ X0,X3 : X0,X2 : coinductive_llist @ X0] : (((lMirro999291890or_aux @ X0 @ X2 @ (coinductive_LCons @ X0 @ X3 @ X1))) = ((coinductive_LCons @ X0 @ X3 @ (lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ X3 @ X2) @ X1))))),
% 1.45/0.55 inference(rectify,[],[f1])).
% 1.45/0.55 thf(f1020,plain,(
% 1.45/0.55 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : X0,X3 : coinductive_llist @ X0] : (((coinductive_LCons @ X0 @ X2 @ (lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ X2 @ X3) @ X1))) = ((lMirro999291890or_aux @ X0 @ X3 @ (coinductive_LCons @ X0 @ X2 @ X1))))),
% 1.45/0.55 inference(rectify,[],[f748])).
% 1.45/0.55 thf(f1103,plain,(
% 1.45/0.55 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0,X3 : coinductive_llist @ X0] : (((coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ X1 @ X2) @ X3)) = ((lMirro999291890or_aux @ X0 @ (coinductive_lappend @ X0 @ X1 @ X3) @ X2)))),
% 1.45/0.55 inference(rectify,[],[f739])).
% 1.45/0.55 thf(f1205,plain,(
% 1.45/0.55 ( ! [X0 : $tType,X2 : X0,X3 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((coinductive_LCons @ X0 @ X2 @ (lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ X2 @ X3) @ X1))) = ((lMirro999291890or_aux @ X0 @ X3 @ (coinductive_LCons @ X0 @ X2 @ X1))))) )),
% 1.45/0.55 inference(cnf_transformation,[],[f1020])).
% 1.45/0.55 thf(f1347,plain,(
% 1.45/0.55 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X3 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ X1 @ X2) @ X3)) = ((lMirro999291890or_aux @ X0 @ (coinductive_lappend @ X0 @ X1 @ X3) @ X2)))) )),
% 1.45/0.55 inference(cnf_transformation,[],[f1103])).
% 1.45/0.55 thf(f1385,plain,(
% 1.45/0.55 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lappend @ X0 @ coinductive_LNil @ X0 @ X1)) = X1)) )),
% 1.45/0.55 inference(cnf_transformation,[],[f4])).
% 1.45/0.55 thf(f1404,plain,(
% 1.45/0.55 (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ acc)))))),
% 1.45/0.55 inference(cnf_transformation,[],[f729])).
% 1.45/0.55 thf(f2139,plain,(
% 1.45/0.55 ( ! [X1 : $tType,X2 : coinductive_llist @ X1,X0 : coinductive_llist @ X1] : ((((lMirro999291890or_aux @ X1 @ X0 @ X2)) = ((coinductive_lappend @ X1 @ (lMirro999291890or_aux @ X1 @ coinductive_LNil @ X1 @ X2) @ X0)))) )),
% 1.45/0.55 inference(superposition,[],[f1347,f1385])).
% 1.45/0.55 thf(f2720,plain,(
% 1.45/0.55 (((lMirro999291890or_aux @ a @ acc @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (lMirro999291890or_aux @ a @ (coinductive_LCons @ a @ x @ acc) @ xs))))),
% 1.45/0.55 inference(superposition,[],[f1404,f2139])).
% 1.45/0.55 thf(f2736,plain,(
% 1.45/0.55 $false),
% 1.45/0.55 inference(forward_subsumption_resolution,[],[f2720,f1205])).
% 1.45/0.55 % SZS output end Proof for theBenchmark
% 1.45/0.55 % (1652891)------------------------------
% 1.45/0.55 % (1652891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (1652891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (1652891)CaDiCaL version: 2.1.3
% 1.45/0.55 % (1652891)Termination reason: Refutation
% 1.45/0.55 % (1652891)Time elapsed: 0.137 s
% 1.45/0.55 % (1652891)Peak memory usage: 14 MB
% 1.45/0.55 % (1652891)Instructions burned: 180 (million)
% 1.45/0.55 % (1652849)Success in time 0.275 s
% 1.45/0.55 % Vampire exiting
%------------------------------------------------------------------------------