%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP127^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:28 AM UTC 2026
% Result : Theorem 1.80s 0.70s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP127^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 % Computer : n007.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Tue Sep 29 19:55:26 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.30 Running higher-order theorem proving
% 0.25/0.37 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
% 0.81/0.57 % (3851503)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.81/0.57 % (3851509)lrs+10_16_si=on:nwc=1.5:random_seed=3554042591:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.81/0.57 % (3851512)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1836603034:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.81/0.57 % (3851514)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.81/0.57 % (3851514)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
% 0.81/0.57 % (3851509)Instruction limit reached!
% 0.81/0.57 % (3851509)------------------------------
% 0.81/0.57 % (3851509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.57 % (3851509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.57 % (3851509)CaDiCaL version: 2.1.3
% 0.81/0.57 % (3851509)Termination reason: Instruction limit
% 0.81/0.57 % (3851509)Termination phase: Property scanning
% 0.81/0.57 % (3851509)Time elapsed: 0.009 s
% 0.81/0.57 % (3851509)Peak memory usage: 10 MB
% 0.81/0.57 % (3851509)Instructions burned: 20 (million)
% 0.81/0.57 % (3851508)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1913219961:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.81/0.57 % (3851511)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=363634369: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)
% 0.81/0.57 % (3851514)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=2859603088:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.81/0.57 % (3851510)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2668135039:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.81/0.57 % (3851513)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1709409502:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.81/0.57 % (3851510)Instruction limit reached!
% 0.81/0.57 % (3851510)------------------------------
% 0.81/0.57 % (3851510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.57 % (3851510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.57 % (3851510)CaDiCaL version: 2.1.3
% 0.81/0.57 % (3851510)Termination reason: Instruction limit
% 0.81/0.57 % (3851510)Termination phase: shuffling
% 0.81/0.57 % (3851510)Time elapsed: 0.004 s
% 0.81/0.57 % (3851510)Peak memory usage: 10 MB
% 0.81/0.57 % (3851510)Instructions burned: 3 (million)
% 0.81/0.57 % (3851512)Instruction limit reached!
% 0.81/0.57 % (3851512)------------------------------
% 0.81/0.57 % (3851512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.57 % (3851512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.57 % (3851512)CaDiCaL version: 2.1.3
% 0.81/0.57 % (3851512)Termination reason: Instruction limit
% 0.81/0.57 % (3851512)Termination phase: Property scanning
% 0.81/0.57 % (3851512)Time elapsed: 0.013 s
% 0.81/0.57 % (3851512)Peak memory usage: 10 MB
% 0.81/0.57 % (3851512)Instructions burned: 25 (million)
% 0.81/0.57 % (3851523)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2902556131:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.81/0.57 % (3851523)Instruction limit reached!
% 0.81/0.57 % (3851523)------------------------------
% 0.81/0.57 % (3851523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.57 % (3851523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.57 % (3851523)CaDiCaL version: 2.1.3
% 0.81/0.57 % (3851523)Termination reason: Instruction limit
% 0.81/0.57 % (3851523)Termination phase: shuffling
% 0.81/0.57 % (3851523)Time elapsed: 0.003 s
% 0.81/0.57 % (3851523)Peak memory usage: 10 MB
% 0.81/0.57 % (3851523)Instructions burned: 5 (million)
% 0.81/0.57 % (3851517)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=976817176:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.55/0.61 % (3851517)Instruction limit reached!
% 1.55/0.61 % (3851517)------------------------------
% 1.55/0.61 % (3851517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.61 % (3851517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.61 % (3851517)CaDiCaL version: 2.1.3
% 1.55/0.61 % (3851517)Termination reason: Instruction limit
% 1.55/0.61 % (3851517)Termination phase: shuffling
% 1.55/0.61 % (3851517)Time elapsed: 0.003 s
% 1.55/0.61 % (3851517)Peak memory usage: 10 MB
% 1.55/0.61 % (3851517)Instructions burned: 2 (million)
% 1.55/0.61 % (3851524)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.55/0.61 % (3851524)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=252981181:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.55/0.61 % (3851526)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1136797596:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.55/0.61 % (3851524)Instruction limit reached!
% 1.55/0.61 % (3851524)------------------------------
% 1.55/0.61 % (3851524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.61 % (3851524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.61 % (3851524)CaDiCaL version: 2.1.3
% 1.55/0.61 % (3851524)Termination reason: Instruction limit
% 1.55/0.61 % (3851524)Termination phase: shuffling
% 1.55/0.61 % (3851524)Time elapsed: 0.010 s
% 1.55/0.61 % (3851524)Peak memory usage: 10 MB
% 1.55/0.61 % (3851524)Instructions burned: 10 (million)
% 1.55/0.61 % (3851526)Instruction limit reached!
% 1.55/0.61 % (3851526)------------------------------
% 1.55/0.61 % (3851526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.61 % (3851526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.61 % (3851526)CaDiCaL version: 2.1.3
% 1.55/0.61 % (3851526)Termination reason: Instruction limit
% 1.55/0.61 % (3851526)Termination phase: shuffling
% 1.55/0.61 % (3851526)Time elapsed: 0.006 s
% 1.55/0.61 % (3851526)Peak memory usage: 10 MB
% 1.55/0.61 % (3851526)Instructions burned: 12 (million)
% 1.55/0.61 % (3851528)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.55/0.61 % (3851528)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.55/0.61 % (3851528)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3321232418:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.55/0.61 % (3851513)Instruction limit reached!
% 1.55/0.61 % (3851513)------------------------------
% 1.55/0.61 % (3851513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.61 % (3851513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.61 % (3851513)CaDiCaL version: 2.1.3
% 1.55/0.61 % (3851513)Termination reason: Instruction limit
% 1.55/0.61 % (3851513)Termination phase: Property scanning
% 1.55/0.61 % (3851513)Time elapsed: 0.065 s
% 1.55/0.61 % (3851513)Peak memory usage: 12 MB
% 1.55/0.61 % (3851513)Instructions burned: 76 (million)
% 1.55/0.61 % (3851508)Instruction limit reached!
% 1.55/0.61 % (3851508)------------------------------
% 1.55/0.61 % (3851508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.61 % (3851508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.61 % (3851508)CaDiCaL version: 2.1.3
% 1.55/0.61 % (3851508)Termination reason: Instruction limit
% 1.55/0.61 % (3851508)Termination phase: Property scanning
% 1.55/0.61 % (3851508)Time elapsed: 0.074 s
% 1.55/0.61 % (3851508)Peak memory usage: 12 MB
% 1.55/0.61 % (3851508)Instructions burned: 88 (million)
% 1.55/0.61 % (3851531)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=4060016474:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.55/0.61 % (3851534)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.80/0.66 % (3851534)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=3274668636:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.80/0.66 % (3851532)lrs+10_1_si=on:cs=on:random_seed=906402655:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.80/0.66 % (3851534)Instruction limit reached!
% 1.80/0.66 % (3851534)------------------------------
% 1.80/0.66 % (3851534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.66 % (3851534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.66 % (3851534)CaDiCaL version: 2.1.3
% 1.80/0.66 % (3851534)Termination reason: Instruction limit
% 1.80/0.66 % (3851534)Termination phase: shuffling
% 1.80/0.66 % (3851534)Time elapsed: 0.001 s
% 1.80/0.66 % (3851534)Peak memory usage: 10 MB
% 1.80/0.66 % (3851534)Instructions burned: 2 (million)
% 1.80/0.66 % (3851528)Instruction limit reached!
% 1.80/0.66 % (3851528)------------------------------
% 1.80/0.66 % (3851528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.66 % (3851528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.66 % (3851528)CaDiCaL version: 2.1.3
% 1.80/0.66 % (3851528)Termination reason: Instruction limit
% 1.80/0.66 % (3851528)Termination phase: shuffling
% 1.80/0.66 % (3851528)Time elapsed: 0.025 s
% 1.80/0.66 % (3851528)Peak memory usage: 10 MB
% 1.80/0.66 % (3851528)Instructions burned: 28 (million)
% 1.80/0.66 % (3851532)Instruction limit reached!
% 1.80/0.66 % (3851532)------------------------------
% 1.80/0.66 % (3851532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.66 % (3851532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.66 % (3851532)CaDiCaL version: 2.1.3
% 1.80/0.66 % (3851532)Termination reason: Instruction limit
% 1.80/0.66 % (3851532)Termination phase: shuffling
% 1.80/0.66 % (3851532)Time elapsed: 0.008 s
% 1.80/0.66 % (3851532)Peak memory usage: 10 MB
% 1.80/0.66 % (3851532)Instructions burned: 8 (million)
% 1.80/0.66 % (3851539)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=238007379:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.80/0.66 % (3851536)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1899636518:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.80/0.66 % (3851531)Instruction limit reached!
% 1.80/0.66 % (3851531)------------------------------
% 1.80/0.66 % (3851531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.66 % (3851531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.66 % (3851531)CaDiCaL version: 2.1.3
% 1.80/0.66 % (3851531)Termination reason: Instruction limit
% 1.80/0.66 % (3851531)Termination phase: Preprocessing 3
% 1.80/0.66 % (3851531)Time elapsed: 0.042 s
% 1.80/0.66 % (3851531)Peak memory usage: 11 MB
% 1.80/0.66 % (3851531)Instructions burned: 87 (million)
% 1.80/0.66 % (3851540)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2656303546:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.80/0.66 % (3851541)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1208919074:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.80/0.66 % (3851539)Refutation not found, incomplete strategy
% 1.80/0.66 % (3851539)------------------------------
% 1.80/0.66 % (3851539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.66 % (3851539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.66 % (3851539)CaDiCaL version: 2.1.3
% 1.80/0.66 % (3851539)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.66 % (3851539)Time elapsed: 0.022 s
% 1.80/0.66 % (3851539)Peak memory usage: 13 MB
% 1.80/0.66 % (3851539)Instructions burned: 47 (million)
% 1.80/0.66 % (3851539)------------------------------
% 1.80/0.66 % (3851539)------------------------------
% 1.80/0.66 % (3851536)Instruction limit reached!
% 1.80/0.66 % (3851536)------------------------------
% 1.80/0.66 % (3851536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.66 % (3851536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.66 % (3851536)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851536)Termination reason: Instruction limit
% 1.80/0.70 % (3851536)Termination phase: Property scanning
% 1.80/0.70 % (3851536)Time elapsed: 0.033 s
% 1.80/0.70 % (3851536)Peak memory usage: 11 MB
% 1.80/0.70 % (3851536)Instructions burned: 38 (million)
% 1.80/0.70 % (3851541)Instruction limit reached!
% 1.80/0.70 % (3851541)------------------------------
% 1.80/0.70 % (3851541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851541)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851541)Termination reason: Instruction limit
% 1.80/0.70 % (3851541)Termination phase: shuffling
% 1.80/0.70 % (3851541)Time elapsed: 0.013 s
% 1.80/0.70 % (3851541)Peak memory usage: 10 MB
% 1.80/0.70 % (3851541)Instructions burned: 14 (million)
% 1.80/0.70 % (3851514)Instruction limit reached!
% 1.80/0.70 % (3851514)------------------------------
% 1.80/0.70 % (3851514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851514)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851514)Termination reason: Instruction limit
% 1.80/0.70 % (3851514)Termination phase: Saturation
% 1.80/0.70 % (3851514)Time elapsed: 0.145 s
% 1.80/0.70 % (3851514)Peak memory usage: 14 MB
% 1.80/0.70 % (3851514)Instructions burned: 157 (million)
% 1.80/0.70 % (3851547)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3361722610:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.80/0.70 % (3851540)Instruction limit reached!
% 1.80/0.70 % (3851540)------------------------------
% 1.80/0.70 % (3851540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851540)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851540)Termination reason: Instruction limit
% 1.80/0.70 % (3851540)Termination phase: Property scanning
% 1.80/0.70 % (3851540)Time elapsed: 0.022 s
% 1.80/0.70 % (3851540)Peak memory usage: 10 MB
% 1.80/0.70 % (3851540)Instructions burned: 25 (million)
% 1.80/0.70 % (3851544)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2097157204:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.80/0.70 % (3851547)Instruction limit reached!
% 1.80/0.70 % (3851547)------------------------------
% 1.80/0.70 % (3851547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851547)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851547)Termination reason: Instruction limit
% 1.80/0.70 % (3851547)Termination phase: Property scanning
% 1.80/0.70 % (3851547)Time elapsed: 0.009 s
% 1.80/0.70 % (3851547)Peak memory usage: 10 MB
% 1.80/0.70 % (3851547)Instructions burned: 19 (million)
% 1.80/0.70 % (3851548)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=702745898: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)
% 1.80/0.70 % (3851549)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=596908807:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.80/0.70 % (3851548)Instruction limit reached!
% 1.80/0.70 % (3851548)------------------------------
% 1.80/0.70 % (3851548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851548)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851548)Termination reason: Instruction limit
% 1.80/0.70 % (3851548)Termination phase: shuffling
% 1.80/0.70 % (3851548)Time elapsed: 0.003 s
% 1.80/0.70 % (3851548)Peak memory usage: 10 MB
% 1.80/0.70 % (3851548)Instructions burned: 2 (million)
% 1.80/0.70 % (3851554)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
% 1.80/0.70 % (3851554)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.80/0.70 % (3851550)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=537060073:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.80/0.70 % (3851552)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3055510260:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.80/0.70 % (3851554)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=71246183:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.80/0.70 % (3851554)Instruction limit reached!
% 1.80/0.70 % (3851554)------------------------------
% 1.80/0.70 % (3851554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851554)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851554)Termination reason: Instruction limit
% 1.80/0.70 % (3851554)Termination phase: shuffling
% 1.80/0.70 % (3851554)Time elapsed: 0.007 s
% 1.80/0.70 % (3851554)Peak memory usage: 10 MB
% 1.80/0.70 % (3851554)Instructions burned: 16 (million)
% 1.80/0.70 % (3851557)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.80/0.70 % (3851549)Instruction limit reached!
% 1.80/0.70 % (3851549)------------------------------
% 1.80/0.70 % (3851549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851549)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851549)Termination reason: Instruction limit
% 1.80/0.70 % (3851549)Termination phase: shuffling
% 1.80/0.70 % (3851549)Time elapsed: 0.024 s
% 1.80/0.70 % (3851549)Peak memory usage: 10 MB
% 1.80/0.70 % (3851549)Instructions burned: 27 (million)
% 1.80/0.70 % (3851550)Instruction limit reached!
% 1.80/0.70 % (3851550)------------------------------
% 1.80/0.70 % (3851550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851550)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851550)Termination reason: Instruction limit
% 1.80/0.70 % (3851550)Termination phase: Property scanning
% 1.80/0.70 % (3851550)Time elapsed: 0.021 s
% 1.80/0.70 % (3851550)Peak memory usage: 10 MB
% 1.80/0.70 % (3851550)Instructions burned: 24 (million)
% 1.80/0.70 % (3851557)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=2461982077:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.80/0.70 % (3851561)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=1340268433:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.80/0.70 % (3851557)Instruction limit reached!
% 1.80/0.70 % (3851557)------------------------------
% 1.80/0.70 % (3851557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851557)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851557)Termination reason: Instruction limit
% 1.80/0.70 % (3851557)Termination phase: shuffling
% 1.80/0.70 % (3851557)Time elapsed: 0.008 s
% 1.80/0.70 % (3851557)Peak memory usage: 10 MB
% 1.80/0.70 % (3851557)Instructions burned: 8 (million)
% 1.80/0.70 % (3851561)Instruction limit reached!
% 1.80/0.70 % (3851561)------------------------------
% 1.80/0.70 % (3851561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851561)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851561)Termination reason: Instruction limit
% 1.80/0.70 % (3851561)Termination phase: shuffling
% 1.80/0.70 % (3851561)Time elapsed: 0.018 s
% 1.80/0.70 % (3851561)Peak memory usage: 10 MB
% 1.80/0.70 % (3851561)Instructions burned: 31 (million)
% 1.80/0.70 % (3851566)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4023170844:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.80/0.70 % (3851562)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1745709767:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.80/0.70 % (3851563)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4072909514:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.80/0.70 % (3851552)Instruction limit reached!
% 1.80/0.70 % (3851552)------------------------------
% 1.80/0.70 % (3851552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851552)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851552)Termination reason: Instruction limit
% 1.80/0.70 % (3851552)Termination phase: Property scanning
% 1.80/0.70 % (3851552)Time elapsed: 0.052 s
% 1.80/0.70 % (3851552)Peak memory usage: 11 MB
% 1.80/0.70 % (3851552)Instructions burned: 61 (million)
% 1.80/0.70 % (3851562)Instruction limit reached!
% 1.80/0.70 % (3851562)------------------------------
% 1.80/0.70 % (3851562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851562)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851562)Termination reason: Instruction limit
% 1.80/0.70 % (3851562)Termination phase: shuffling
% 1.80/0.70 % (3851562)Time elapsed: 0.007 s
% 1.80/0.70 % (3851562)Peak memory usage: 10 MB
% 1.80/0.70 % (3851562)Instructions burned: 7 (million)
% 1.80/0.70 % (3851566)Instruction limit reached!
% 1.80/0.70 % (3851566)------------------------------
% 1.80/0.70 % (3851566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851566)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851566)Termination reason: Instruction limit
% 1.80/0.70 % (3851566)Termination phase: Property scanning
% 1.80/0.70 % (3851566)Time elapsed: 0.009 s
% 1.80/0.70 % (3851566)Peak memory usage: 10 MB
% 1.80/0.70 % (3851566)Instructions burned: 20 (million)
% 1.80/0.70 % (3851567)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=649209091:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.80/0.70 % (3851563)Instruction limit reached!
% 1.80/0.70 % (3851563)------------------------------
% 1.80/0.70 % (3851563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.70 % (3851563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.70 % (3851563)CaDiCaL version: 2.1.3
% 1.80/0.70 % (3851563)Termination reason: Instruction limit
% 1.80/0.70 % (3851563)Termination phase: shuffling
% 1.80/0.70 % (3851563)Time elapsed: 0.020 s
% 1.80/0.70 % (3851563)Peak memory usage: 10 MB
% 1.80/0.70 % (3851563)Instructions burned: 23 (million)
% 1.80/0.70 % (3851544) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3851503-3851544"...
% 1.80/0.70 % (3851573)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=308763755:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.80/0.70 % (3851544)...printing done.
% 1.80/0.70 % (3851571)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3775375256:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.80/0.70 % (3851544)Refutation found. Thanks to Tanya!
% 1.80/0.70 % SZS status Theorem for theBenchmark
% 1.80/0.70 % SZS output start Proof for theBenchmark
% 1.80/0.70 thf(type_def_5, type, monomo1453983439ondetT: ($tType * $tType) > $tType).
% 1.80/0.70 thf(type_def_6, type, countable_Set_cset: $tType > $tType).
% 1.80/0.70 thf(type_def_7, type, m: $tType).
% 1.80/0.70 thf(type_def_8, type, c: $tType).
% 1.80/0.70 thf(type_def_9, type, a: $tType).
% 1.80/0.70 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 1.80/0.70 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_1, type, minus: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_6, type, no_bot: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_7, type, no_top: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_8, type, linorder: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_9, type, preorder: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_10, type, order_bot: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_11, type, wellorder: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_12, type, dense_order: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_13, type, dense_linorder: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_14, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_15, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 1.80/0.70 thf(func_def_16, type, countable_Set_cin: !>[X0: $tType]:((X0 > countable_Set_cset @ X0 > $o))).
% 1.80/0.70 thf(func_def_17, type, counta2111716221insert: !>[X0: $tType]:((X0 > countable_Set_cset @ X0 > countable_Set_cset @ X0))).
% 1.80/0.70 thf(func_def_18, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 1.80/0.70 thf(func_def_19, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.80/0.70 thf(func_def_20, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.80/0.70 thf(func_def_21, type, monomo2011693592ondetM: !>[X0: $tType, X1: $tType, X2: $tType]:(((countable_Set_cset @ X0 > X1) > (X1 > (countable_Set_cset @ X0 > X1) > X1) > (countable_Set_cset @ X0 > (X0 > X1) > X1) > (countable_Set_cset @ X2 > (X2 > X1) > X1) > $o))).
% 1.80/0.70 thf(func_def_22, type, monomo759963067axioms: !>[X0: $tType, X1: $tType, X2: $tType]:(((countable_Set_cset @ X0 > X1) > (X1 > (countable_Set_cset @ X0 > X1) > X1) > (countable_Set_cset @ X0 > (X0 > X1) > X1) > (countable_Set_cset @ X2 > (X2 > X1) > X1) > $o))).
% 1.80/0.70 thf(func_def_23, type, monomo955616121nondet: !>[X0: $tType, X1: $tType, X2: $tType]:(((countable_Set_cset @ X0 > (X0 > X1) > X1) > countable_Set_cset @ X0 > (X0 > monomo1453983439ondetT @ X2 @ X1) > monomo1453983439ondetT @ X2 @ X1))).
% 1.80/0.70 thf(func_def_24, type, monomo439771545d_altc: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X1 > (X0 > X1) > X1) > (countable_Set_cset @ X2 > (X2 > X1) > X1) > $o))).
% 1.80/0.70 thf(func_def_25, type, monomo1425736922_altc3: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X1 > (X0 > X1) > X1) > (countable_Set_cset @ X2 > (X2 > X1) > X1) > $o))).
% 1.80/0.70 thf(func_def_26, type, monomo555039548axioms: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > (X1 > X0) > X0) > (countable_Set_cset @ X2 > (X2 > X0) > X0) > $o))).
% 1.80/0.70 thf(func_def_27, type, monomo109450930_state: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X1 > (X0 > X1) > X1) > ((X2 > X1) > X1) > (X2 > X1 > X1) > $o))).
% 1.80/0.70 thf(func_def_28, type, monomo1036387116e_altc: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X1 > (X0 > X1) > X1) > ((X2 > X1) > X1) > (X2 > X1 > X1) > (countable_Set_cset @ X3 > (X3 > X1) > X1) > $o))).
% 1.80/0.70 thf(func_def_29, type, monomo1324021455axioms: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X1) > X1) > (X0 > X1 > X1) > (countable_Set_cset @ X2 > (X2 > X1) > X1) > $o))).
% 1.80/0.70 thf(func_def_30, type, monomo410456285nondet: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X1) > X0 > monomo1453983439ondetT @ X2 @ X1 > monomo1453983439ondetT @ X2 @ X1))).
% 1.80/0.70 thf(func_def_31, type, monomo1975189248ondetT: !>[X0: $tType, X1: $tType]:((X0 > monomo1453983439ondetT @ X1 @ X0))).
% 1.80/0.70 thf(func_def_32, type, monomo1564381680ondetT: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > monomo1453983439ondetT @ X2 @ X0 > X1))).
% 1.80/0.70 thf(func_def_33, type, monomo1291740684ondetT: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > monomo1453983439ondetT @ X2 @ X0 > X1))).
% 1.80/0.70 thf(func_def_34, type, monomo603716163nondet: !>[X0: $tType, X1: $tType]:((monomo1453983439ondetT @ X0 @ X1 > X1))).
% 1.80/0.70 thf(func_def_35, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.80/0.70 thf(func_def_36, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.80/0.70 thf(func_def_37, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.80/0.70 thf(func_def_38, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.80/0.70 thf(func_def_39, type, f: (c > monomo1453983439ondetT @ a @ m)).
% 1.80/0.70 thf(func_def_40, type, mergec: (countable_Set_cset @ c > (c > m) > m)).
% 1.80/0.70 thf(func_def_41, type, x: c).
% 1.80/0.70 thf(func_def_43, type, vAND: ($o > $o > $o)).
% 1.80/0.70 thf(func_def_44, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.80/0.70 thf(func_def_45, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.80/0.70 thf(func_def_46, type, vNOT: ($o > $o)).
% 1.80/0.70 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 1.80/0.70 thf(func_def_48, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.80/0.70 thf(func_def_51, type, vIMP: ($o > $o > $o)).
% 1.80/0.70 thf(func_def_52, type, db1: !>[X0: $tType]:(X0)).
% 1.80/0.70 thf(func_def_53, type, vOR: ($o > $o > $o)).
% 1.80/0.70 thf(func_def_54, type, db4: !>[X0: $tType]:(X0)).
% 1.80/0.70 thf(func_def_55, type, db3: !>[X0: $tType]:(X0)).
% 1.80/0.70 thf(func_def_56, type, db2: !>[X0: $tType]:(X0)).
% 1.80/0.70 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.80/0.70 thf(func_def_58, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.36/0.70 thf(func_def_59, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.36/0.70 thf(func_def_60, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.36/0.70 thf(func_def_61, type, sK3: !>[X0: $tType]:((countable_Set_cset @ X0 > countable_Set_cset @ X0 > X0))).
% 0.36/0.70 thf(func_def_62, type, sK4: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_63, type, sK5: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_64, type, sK6: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_65, type, sK7: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_66, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_67, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_68, type, sK10: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_69, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_70, type, sK12: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_71, type, sK13: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_72, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_73, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_74, type, sK16: !>[X0: $tType]:((X0 > countable_Set_cset @ X0 > countable_Set_cset @ X0))).
% 0.36/0.70 thf(func_def_75, type, sK17: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_76, type, sK18: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_77, type, sK19: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_78, type, sK20: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_79, type, sK21: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.36/0.70 thf(func_def_80, type, sK22: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_81, type, sK23: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_82, type, sK24: !>[X0: $tType]:((X0 > X0))).
% 0.36/0.70 thf(func_def_83, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_84, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_85, type, sK27: !>[X0: $tType]:((countable_Set_cset @ X0 > X0))).
% 0.36/0.70 thf(func_def_86, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_87, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_88, type, sK30: !>[X0: $tType, X1: $tType]:(((monomo1453983439ondetT @ X0 @ X1 > $o) > X1))).
% 0.36/0.70 thf(func_def_89, type, sK31: !>[X0: $tType]:((countable_Set_cset @ X0 > countable_Set_cset @ X0 > X0))).
% 0.36/0.70 thf(func_def_90, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_91, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_92, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_93, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_94, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_95, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.36/0.70 thf(func_def_96, type, sK38: !>[X0: $tType, X1: $tType]:((monomo1453983439ondetT @ X1 @ X0 > X0))).
% 0.36/0.70 thf(func_def_97, type, sK39: !>[X0: $tType]:((countable_Set_cset @ X0 > X0 > countable_Set_cset @ X0))).
% 0.36/0.70 thf(func_def_98, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_99, type, sK41: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_100, type, sK42: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_101, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_102, type, sK44: !>[X0: $tType]:((X0 > X0))).
% 0.36/0.70 thf(func_def_103, type, sK45: !>[X0: $tType]:((countable_Set_cset @ X0 > countable_Set_cset @ X0 > X0))).
% 0.36/0.70 thf(func_def_104, type, sK46: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_105, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.36/0.70 thf(func_def_106, type, sK48: !>[X0: $tType]:((countable_Set_cset @ X0 > X0))).
% 0.36/0.70 thf(func_def_107, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > X2 > X0))).
% 0.36/0.70 thf(func_def_108, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X1 > X0) > X2))).
% 0.36/0.70 thf(func_def_109, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X0 > X1) > X2 > X0))).
% 0.36/0.70 thf(func_def_110, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X1 > X2) > X2 > X0))).
% 0.36/0.70 thf(func_def_111, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X1 > X2) > X1))).
% 0.36/0.70 thf(func_def_112, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X1 > X2) > X1))).
% 0.36/0.70 thf(f1,axiom,(
% 0.36/0.70 ! [X8 : (c > m),X7 : c] : (((mergec @ (counta2111716221insert @ c @ X7 @ bot_bot @ countable_Set_cset @ c) @ X8)) = ((X8 @ X7)))),
% 0.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_mergec__single)).
% 0.36/0.70 thf(f18,axiom,(
% 0.36/0.70 ! [X0 : $tType,X1 : $tType,X2 : $tType] : ((^[X3 : (X2 > X1), X4 : (X0 > X2), X5 : X0] : ((X3 @ (X4 @ X5)))) = comp @ X2 @ X1 @ X0)),
% 0.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_comp__apply)).
% 0.36/0.70 thf(f19,axiom,(
% 0.36/0.70 ! [X2 : $tType,X0 : $tType,X1 : $tType] : (monomo955616121nondet @ X2 @ X1 @ X0 = (^[X3 : (countable_Set_cset @ X2 > (X2 > X1) > X1), X4 : countable_Set_cset @ X2, X5 : (X2 > monomo1453983439ondetT @ X0 @ X1)] : ((monomo1975189248ondetT @ X1 @ X0 @ (X3 @ X4 @ (comp @ monomo1453983439ondetT @ X0 @ X1 @ X1 @ X2 @ monomo603716163nondet @ X0 @ X1 @ X5))))))),
% 0.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_cset__nondetM__base_Oaltc__nondet__def)).
% 0.36/0.70 thf(f32,axiom,(
% 0.36/0.70 ! [X1 : $tType,X0 : $tType,X2 : monomo1453983439ondetT @ X1 @ X0] : (X2 = ((monomo1975189248ondetT @ X0 @ X1 @ (monomo603716163nondet @ X1 @ X0 @ X2))))),
% 0.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_nondetT_Oexhaust__sel)).
% 0.36/0.70 thf(f279,conjecture,(
% 0.36/0.70 (((monomo955616121nondet @ c @ m @ a @ mergec @ (counta2111716221insert @ c @ x @ bot_bot @ countable_Set_cset @ c) @ f)) = ((f @ x)))),
% 0.36/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.36/0.70 thf(f280,negated_conjecture,(
% 0.36/0.70 ~ (((monomo955616121nondet @ c @ m @ a @ mergec @ (counta2111716221insert @ c @ x @ bot_bot @ countable_Set_cset @ c) @ f)) = ((f @ x)))),
% 0.36/0.70 inference(negated_conjecture,[status(cth)],[f279])).
% 0.36/0.70 thf(f570,plain,(
% 0.36/0.70 ! [X1 : $tType,X0 : $tType,X2 : $tType] : (comp @ X2 @ X1 @ X0 = (^[Y0 : X2 > X1]: ((^[Y1 : X0 > X2]: ((^[Y2 : X0]: (Y0 @ (Y1 @ Y2))))))))),
% 0.36/0.70 inference(fool_elimination,[],[f18])).
% 0.36/0.70 thf(f661,plain,(
% 0.36/0.70 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (monomo955616121nondet @ X0 @ X2 @ X1 = (^[X3 : (countable_Set_cset @ X0 > (X0 > X2) > X2), X4 : countable_Set_cset @ X0, X5 : (X0 > monomo1453983439ondetT @ X1 @ X2)] : ((monomo1975189248ondetT @ X2 @ X1 @ (X3 @ X4 @ (comp @ monomo1453983439ondetT @ X1 @ X2 @ X2 @ X0 @ monomo603716163nondet @ X1 @ X2 @ X5))))))),
% 0.36/0.70 inference(rectify,[],[f19])).
% 0.36/0.70 thf(f662,plain,(
% 0.36/0.70 ! [X0 : $tType,X2 : $tType,X1 : $tType] : ((^[Y0 : countable_Set_cset @ X0 > (X0 > X2) > X2]: ((^[Y1 : countable_Set_cset @ X0]: ((^[Y2 : X0 > monomo1453983439ondetT @ X1 @ X2]: (monomo1975189248ondetT @ X2 @ X1 @ (Y0 @ Y1 @ (comp @ monomo1453983439ondetT @ X1 @ X2 @ X2 @ X0 @ monomo603716163nondet @ X1 @ X2 @ Y2)))))))) = monomo955616121nondet @ X0 @ X2 @ X1)),
% 0.36/0.70 inference(fool_elimination,[],[f661])).
% 0.36/0.70 thf(f749,plain,(
% 0.36/0.70 (((monomo955616121nondet @ c @ m @ a @ mergec @ (counta2111716221insert @ c @ x @ bot_bot @ countable_Set_cset @ c) @ f)) != ((f @ x)))),
% 0.36/0.70 inference(flattening,[],[f280])).
% 0.36/0.70 thf(f752,plain,(
% 0.36/0.70 ! [X1 : $tType,X0 : $tType,X2 : monomo1453983439ondetT @ X0 @ X1] : (((monomo1975189248ondetT @ X1 @ X0 @ (monomo603716163nondet @ X0 @ X1 @ X2))) = X2)),
% 0.36/0.70 inference(rectify,[],[f32])).
% 0.36/0.70 thf(f777,plain,(
% 0.36/0.70 ! [X0 : (c > m),X1 : c] : (((X0 @ X1)) = ((mergec @ (counta2111716221insert @ c @ X1 @ bot_bot @ countable_Set_cset @ c) @ X0)))),
% 0.36/0.70 inference(rectify,[],[f1])).
% 0.36/0.70 thf(f1109,plain,(
% 0.36/0.70 ! [X0 : $tType,X1 : $tType,X2 : monomo1453983439ondetT @ X1 @ X0] : (((monomo1975189248ondetT @ X0 @ X1 @ (monomo603716163nondet @ X1 @ X0 @ X2))) = X2)),
% 0.36/0.70 inference(rectify,[],[f752])).
% 0.36/0.70 thf(f1110,plain,(
% 0.36/0.70 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (monomo955616121nondet @ X0 @ X1 @ X2 = (^[Y0 : countable_Set_cset @ X0 > (X0 > X1) > X1]: ((^[Y1 : countable_Set_cset @ X0]: ((^[Y2 : X0 > monomo1453983439ondetT @ X2 @ X1]: (monomo1975189248ondetT @ X1 @ X2 @ (Y0 @ Y1 @ (comp @ monomo1453983439ondetT @ X2 @ X1 @ X1 @ X0 @ monomo603716163nondet @ X2 @ X1 @ Y2)))))))))),
% 0.36/0.70 inference(rectify,[],[f662])).
% 0.36/0.70 thf(f1118,plain,(
% 0.36/0.70 ! [X0 : $tType,X1 : $tType,X2 : $tType] : ((^[Y0 : X2 > X0]: ((^[Y1 : X1 > X2]: ((^[Y2 : X1]: (Y0 @ (Y1 @ Y2))))))) = comp @ X2 @ X0 @ X1)),
% 0.36/0.70 inference(rectify,[],[f570])).
% 0.36/0.70 thf(f1259,plain,(
% 0.36/0.70 ( ! [X0 : (c > m),X1 : c] : ((((X0 @ X1)) = ((mergec @ (counta2111716221insert @ c @ X1 @ bot_bot @ countable_Set_cset @ c) @ X0)))) )),
% 0.36/0.70 inference(cnf_transformation,[],[f777])).
% 0.36/0.70 thf(f1319,plain,(
% 0.36/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : monomo1453983439ondetT @ X1 @ X0] : ((((monomo1975189248ondetT @ X0 @ X1 @ (monomo603716163nondet @ X1 @ X0 @ X2))) = X2)) )),
% 0.36/0.70 inference(cnf_transformation,[],[f1109])).
% 0.36/0.70 thf(f1322,plain,(
% 0.36/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((monomo955616121nondet @ X0 @ X1 @ X2 = (^[Y0 : countable_Set_cset @ X0 > (X0 > X1) > X1]: ((^[Y1 : countable_Set_cset @ X0]: ((^[Y2 : X0 > monomo1453983439ondetT @ X2 @ X1]: (monomo1975189248ondetT @ X1 @ X2 @ (Y0 @ Y1 @ (comp @ monomo1453983439ondetT @ X2 @ X1 @ X1 @ X0 @ monomo603716163nondet @ X2 @ X1 @ Y2)))))))))) )),
% 0.36/0.70 inference(cnf_transformation,[],[f1110])).
% 0.36/0.70 thf(f1335,plain,(
% 0.36/0.70 (((monomo955616121nondet @ c @ m @ a @ mergec @ (counta2111716221insert @ c @ x @ bot_bot @ countable_Set_cset @ c) @ f)) != ((f @ x)))),
% 0.36/0.70 inference(cnf_transformation,[],[f749])).
% 0.36/0.70 thf(f1336,plain,(
% 0.36/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : (((^[Y0 : X2 > X0]: ((^[Y1 : X1 > X2]: ((^[Y2 : X1]: (Y0 @ (Y1 @ Y2))))))) = comp @ X2 @ X0 @ X1)) )),
% 0.36/0.70 inference(cnf_transformation,[],[f1118])).
% 0.36/0.70 thf(f1457,plain,(
% 0.36/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((monomo955616121nondet @ X0 @ X1 @ X2 = (^[Y0 : countable_Set_cset @ X0 > (X0 > X1) > X1]: ((^[Y1 : countable_Set_cset @ X0]: ((^[Y2 : X0 > monomo1453983439ondetT @ X2 @ X1]: (monomo1975189248ondetT @ X1 @ X2 @ (Y0 @ Y1 @ ((^[Y3 : monomo1453983439ondetT @ X2 @ X1 > X1]: ((^[Y4 : X0 > monomo1453983439ondetT @ X2 @ X1]: ((^[Y5 : X0]: (Y3 @ (Y4 @ Y5))))))) @ monomo603716163nondet @ X2 @ X1 @ Y2)))))))))) )),
% 0.36/0.70 inference(definition_unfolding,[],[f1322,f1336])).
% 0.36/0.70 thf(f1473,plain,(
% 0.36/0.70 (((f @ x)) != (((^[Y0 : countable_Set_cset @ c > (c > m) > m]: ((^[Y1 : countable_Set_cset @ c]: ((^[Y2 : c > monomo1453983439ondetT @ a @ m]: (monomo1975189248ondetT @ m @ a @ (Y0 @ Y1 @ ((^[Y3 : monomo1453983439ondetT @ a @ m > m]: ((^[Y4 : c > monomo1453983439ondetT @ a @ m]: ((^[Y5 : c]: (Y3 @ (Y4 @ Y5))))))) @ monomo603716163nondet @ a @ m @ Y2)))))))) @ mergec @ (counta2111716221insert @ c @ x @ bot_bot @ countable_Set_cset @ c) @ f)))),
% 0.36/0.70 inference(definition_unfolding,[],[f1335,f1457])).
% 0.36/0.70 thf(f1536,plain,(
% 0.36/0.70 (((f @ x)) != ((monomo1975189248ondetT @ m @ a @ (mergec @ (counta2111716221insert @ c @ x @ bot_bot @ countable_Set_cset @ c) @ (^[Y0 : c]: (monomo603716163nondet @ a @ m @ (f @ Y0)))))))),
% 0.36/0.70 inference(beta-eta_normalization,[],[f1473])).
% 0.36/0.70 thf(f1769,plain,(
% 0.36/0.70 (((f @ x)) != ((monomo1975189248ondetT @ m @ a @ ((^[Y0 : c]: (monomo603716163nondet @ a @ m @ (f @ Y0))) @ x))))),
% 0.36/0.70 inference(superposition,[],[f1536,f1259])).
% 0.36/0.70 thf(f1770,plain,(
% 0.36/0.70 (((f @ x)) != ((monomo1975189248ondetT @ m @ a @ (monomo603716163nondet @ a @ m @ (f @ x)))))),
% 0.36/0.70 inference(beta-eta_normalization,[],[f1769])).
% 0.36/0.70 thf(f1910,plain,(
% 0.36/0.70 (((f @ x)) != ((f @ x)))),
% 0.36/0.70 inference(superposition,[],[f1770,f1319])).
% 0.36/0.70 thf(f1911,plain,(
% 0.36/0.70 $false),
% 0.36/0.70 inference(trivial_inequality_removal,[],[f1910])).
% 0.36/0.70 % SZS output end Proof for theBenchmark
% 0.36/0.70 % (3851544)------------------------------
% 0.36/0.70 % (3851544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.70 % (3851544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.70 % (3851544)CaDiCaL version: 2.1.3
% 0.36/0.70 % (3851544)Termination reason: Refutation
% 0.36/0.70 % (3851544)Time elapsed: 0.105 s
% 0.36/0.70 % (3851544)Peak memory usage: 14 MB
% 0.36/0.70 % (3851544)Instructions burned: 115 (million)
% 0.36/0.70 % (3851503)Success in time 0.315 s
% 0.36/0.70 % Vampire exiting
%------------------------------------------------------------------------------