%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP098^2 : 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 : n020.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 08:08:20 AM UTC 2026
% Result : Theorem 1.89s 0.72s
% Output : Refutation 1.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP098^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n020.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Tue Sep 29 19:54:05 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running higher-order theorem proving
% 0.34/0.41 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
% 1.23/0.61 % (1510467)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.23/0.61 % (1510475)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=4166319182: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)
% 1.23/0.61 % (1510478)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.23/0.61 % (1510478)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
% 1.23/0.61 % (1510477)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2888186329:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.23/0.61 % (1510472)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1687745255:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.23/0.61 % (1510473)lrs+10_16_si=on:nwc=1.5:random_seed=3615908624:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.23/0.61 % (1510474)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3513040103:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.23/0.61 % (1510476)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3571708456:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.23/0.61 % (1510478)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=3121416181:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.23/0.61 % (1510474)Instruction limit reached!
% 1.23/0.61 % (1510474)------------------------------
% 1.23/0.61 % (1510474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.61 % (1510474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.61 % (1510474)CaDiCaL version: 2.1.3
% 1.23/0.61 % (1510474)Termination reason: Instruction limit
% 1.23/0.61 % (1510474)Termination phase: shuffling
% 1.23/0.61 % (1510474)Time elapsed: 0.004 s
% 1.23/0.61 % (1510474)Peak memory usage: 10 MB
% 1.23/0.61 % (1510474)Instructions burned: 3 (million)
% 1.23/0.61 % (1510473)Instruction limit reached!
% 1.23/0.61 % (1510473)------------------------------
% 1.23/0.61 % (1510473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.61 % (1510473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.61 % (1510473)CaDiCaL version: 2.1.3
% 1.23/0.61 % (1510473)Termination reason: Instruction limit
% 1.23/0.61 % (1510473)Termination phase: Property scanning
% 1.23/0.61 % (1510473)Time elapsed: 0.017 s
% 1.23/0.61 % (1510473)Peak memory usage: 10 MB
% 1.23/0.61 % (1510473)Instructions burned: 19 (million)
% 1.23/0.61 % (1510476)Instruction limit reached!
% 1.23/0.61 % (1510476)------------------------------
% 1.23/0.61 % (1510476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.61 % (1510476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.61 % (1510476)CaDiCaL version: 2.1.3
% 1.23/0.61 % (1510476)Termination reason: Instruction limit
% 1.23/0.61 % (1510476)Termination phase: Property scanning
% 1.23/0.61 % (1510476)Time elapsed: 0.022 s
% 1.23/0.61 % (1510476)Peak memory usage: 10 MB
% 1.23/0.61 % (1510476)Instructions burned: 25 (million)
% 1.23/0.61 % (1510486)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3937386576:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.23/0.61 % (1510487)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3212954911:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.23/0.61 % (1510486)Instruction limit reached!
% 1.23/0.61 % (1510486)------------------------------
% 1.23/0.61 % (1510486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.61 % (1510486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.61 % (1510486)CaDiCaL version: 2.1.3
% 1.23/0.61 % (1510486)Termination reason: Instruction limit
% 1.23/0.61 % (1510486)Termination phase: shuffling
% 1.23/0.61 % (1510486)Time elapsed: 0.003 s
% 1.23/0.61 % (1510486)Peak memory usage: 10 MB
% 1.23/0.61 % (1510486)Instructions burned: 2 (million)
% 1.63/0.68 % (1510487)Instruction limit reached!
% 1.63/0.68 % (1510487)------------------------------
% 1.63/0.68 % (1510487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.68 % (1510487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.68 % (1510487)CaDiCaL version: 2.1.3
% 1.63/0.68 % (1510487)Termination reason: Instruction limit
% 1.63/0.68 % (1510487)Termination phase: shuffling
% 1.63/0.68 % (1510487)Time elapsed: 0.006 s
% 1.63/0.68 % (1510487)Peak memory usage: 10 MB
% 1.63/0.68 % (1510487)Instructions burned: 5 (million)
% 1.63/0.68 % (1510488)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.68 % (1510488)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2533292359:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.63/0.68 % (1510477)Instruction limit reached!
% 1.63/0.68 % (1510477)------------------------------
% 1.63/0.68 % (1510477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.68 % (1510477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.68 % (1510477)CaDiCaL version: 2.1.3
% 1.63/0.68 % (1510477)Termination reason: Instruction limit
% 1.63/0.68 % (1510477)Termination phase: Property scanning
% 1.63/0.68 % (1510477)Time elapsed: 0.061 s
% 1.63/0.68 % (1510477)Peak memory usage: 12 MB
% 1.63/0.68 % (1510477)Instructions burned: 75 (million)
% 1.63/0.68 % (1510491)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1946141222:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.63/0.68 % (1510488)Instruction limit reached!
% 1.63/0.68 % (1510488)------------------------------
% 1.63/0.68 % (1510488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.68 % (1510488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.68 % (1510488)CaDiCaL version: 2.1.3
% 1.63/0.68 % (1510488)Termination reason: Instruction limit
% 1.63/0.68 % (1510488)Termination phase: shuffling
% 1.63/0.68 % (1510488)Time elapsed: 0.007 s
% 1.63/0.68 % (1510488)Peak memory usage: 10 MB
% 1.63/0.68 % (1510488)Instructions burned: 7 (million)
% 1.63/0.68 % (1510491)Instruction limit reached!
% 1.63/0.68 % (1510491)------------------------------
% 1.63/0.68 % (1510491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.68 % (1510491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.68 % (1510491)CaDiCaL version: 2.1.3
% 1.63/0.68 % (1510491)Termination reason: Instruction limit
% 1.63/0.68 % (1510491)Termination phase: shuffling
% 1.63/0.68 % (1510491)Time elapsed: 0.007 s
% 1.63/0.68 % (1510491)Peak memory usage: 10 MB
% 1.63/0.68 % (1510491)Instructions burned: 12 (million)
% 1.63/0.68 % (1510472)Instruction limit reached!
% 1.63/0.68 % (1510472)------------------------------
% 1.63/0.68 % (1510472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.68 % (1510472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.68 % (1510472)CaDiCaL version: 2.1.3
% 1.63/0.68 % (1510472)Termination reason: Instruction limit
% 1.63/0.68 % (1510472)Termination phase: Property scanning
% 1.63/0.68 % (1510472)Time elapsed: 0.073 s
% 1.63/0.68 % (1510472)Peak memory usage: 12 MB
% 1.63/0.68 % (1510472)Instructions burned: 88 (million)
% 1.63/0.68 % (1510492)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
% 1.63/0.68 % (1510492)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.68 % (1510492)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=769395335:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.63/0.68 % (1510495)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=3190888220:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.63/0.68 % (1510496)lrs+10_1_si=on:cs=on:random_seed=926756655:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.63/0.68 % (1510497)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.89/0.72 % (1510497)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=4129788967:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.89/0.72 % (1510496)Instruction limit reached!
% 1.89/0.72 % (1510496)------------------------------
% 1.89/0.72 % (1510496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510496)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510496)Termination reason: Instruction limit
% 1.89/0.72 % (1510496)Termination phase: shuffling
% 1.89/0.72 % (1510496)Time elapsed: 0.008 s
% 1.89/0.72 % (1510496)Peak memory usage: 10 MB
% 1.89/0.72 % (1510496)Instructions burned: 8 (million)
% 1.89/0.72 % (1510492)Instruction limit reached!
% 1.89/0.72 % (1510492)------------------------------
% 1.89/0.72 % (1510492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510492)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510492)Termination reason: Instruction limit
% 1.89/0.72 % (1510492)Termination phase: shuffling
% 1.89/0.72 % (1510492)Time elapsed: 0.026 s
% 1.89/0.72 % (1510492)Peak memory usage: 10 MB
% 1.89/0.72 % (1510492)Instructions burned: 28 (million)
% 1.89/0.72 % (1510497)Instruction limit reached!
% 1.89/0.72 % (1510497)------------------------------
% 1.89/0.72 % (1510497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510497)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510497)Termination reason: Instruction limit
% 1.89/0.72 % (1510497)Termination phase: shuffling
% 1.89/0.72 % (1510497)Time elapsed: 0.003 s
% 1.89/0.72 % (1510497)Peak memory usage: 10 MB
% 1.89/0.72 % (1510497)Instructions burned: 2 (million)
% 1.89/0.72 % (1510498)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4238592783:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.89/0.72 % (1510505)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=162981898:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.89/0.72 % (1510478)Instruction limit reached!
% 1.89/0.72 % (1510478)------------------------------
% 1.89/0.72 % (1510478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510478)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510478)Termination reason: Instruction limit
% 1.89/0.72 % (1510478)Termination phase: Saturation
% 1.89/0.72 % (1510478)Time elapsed: 0.134 s
% 1.89/0.72 % (1510478)Peak memory usage: 14 MB
% 1.89/0.72 % (1510478)Instructions burned: 158 (million)
% 1.89/0.72 % (1510503)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2312372256:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.89/0.72 % (1510505)Instruction limit reached!
% 1.89/0.72 % (1510505)------------------------------
% 1.89/0.72 % (1510505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510505)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510505)Termination reason: Instruction limit
% 1.89/0.72 % (1510505)Termination phase: shuffling
% 1.89/0.72 % (1510505)Time elapsed: 0.008 s
% 1.89/0.72 % (1510505)Peak memory usage: 10 MB
% 1.89/0.72 % (1510505)Instructions burned: 14 (million)
% 1.89/0.72 % (1510504)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=928089465:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.89/0.72 % (1510498)Instruction limit reached!
% 1.89/0.72 % (1510498)------------------------------
% 1.89/0.72 % (1510498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510498)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510498)Termination reason: Instruction limit
% 1.89/0.72 % (1510498)Termination phase: Preprocessing 3
% 1.89/0.72 % (1510498)Time elapsed: 0.034 s
% 1.89/0.72 % (1510498)Peak memory usage: 11 MB
% 1.89/0.72 % (1510498)Instructions burned: 39 (million)
% 1.89/0.72 % (1510509)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=888144128:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.89/0.72 % (1510495)Instruction limit reached!
% 1.89/0.72 % (1510495)------------------------------
% 1.89/0.72 % (1510495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510495)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510495)Termination reason: Instruction limit
% 1.89/0.72 % (1510495)Termination phase: Preprocessing 3
% 1.89/0.72 % (1510495)Time elapsed: 0.068 s
% 1.89/0.72 % (1510495)Peak memory usage: 11 MB
% 1.89/0.72 % (1510495)Instructions burned: 87 (million)
% 1.89/0.72 % (1510504)Instruction limit reached!
% 1.89/0.72 % (1510504)------------------------------
% 1.89/0.72 % (1510504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510504)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510504)Termination reason: Instruction limit
% 1.89/0.72 % (1510504)Termination phase: Property scanning
% 1.89/0.72 % (1510504)Time elapsed: 0.022 s
% 1.89/0.72 % (1510504)Peak memory usage: 10 MB
% 1.89/0.72 % (1510504)Instructions burned: 25 (million)
% 1.89/0.72 % (1510510)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3687681110:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.89/0.72 % (1510512)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3262778914: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)
% 1.89/0.72 % (1510512)Instruction limit reached!
% 1.89/0.72 % (1510512)------------------------------
% 1.89/0.72 % (1510512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510512)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510512)Termination reason: Instruction limit
% 1.89/0.72 % (1510512)Termination phase: shuffling
% 1.89/0.72 % (1510512)Time elapsed: 0.003 s
% 1.89/0.72 % (1510512)Peak memory usage: 10 MB
% 1.89/0.72 % (1510512)Instructions burned: 2 (million)
% 1.89/0.72 % (1510510)Instruction limit reached!
% 1.89/0.72 % (1510510)------------------------------
% 1.89/0.72 % (1510510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510510)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510510)Termination reason: Instruction limit
% 1.89/0.72 % (1510510)Termination phase: shuffling
% 1.89/0.72 % (1510510)Time elapsed: 0.013 s
% 1.89/0.72 % (1510510)Peak memory usage: 10 MB
% 1.89/0.72 % (1510510)Instructions burned: 15 (million)
% 1.89/0.72 % (1510514)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1664495279:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.89/0.72 % (1510515)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2457480923:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.89/0.72 % (1510518)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2466663531:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.89/0.72 % (1510519)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
% 1.89/0.72 % (1510519)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.89/0.72 % (1510515)Instruction limit reached!
% 1.89/0.72 % (1510515)------------------------------
% 1.89/0.72 % (1510515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510515)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510515)Termination reason: Instruction limit
% 1.89/0.72 % (1510515)Termination phase: Property scanning
% 1.89/0.72 % (1510515)Time elapsed: 0.020 s
% 1.89/0.72 % (1510515)Peak memory usage: 10 MB
% 1.89/0.72 % (1510515)Instructions burned: 24 (million)
% 1.89/0.72 % (1510514)Instruction limit reached!
% 1.89/0.72 % (1510514)------------------------------
% 1.89/0.72 % (1510514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510514)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510514)Termination reason: Instruction limit
% 1.89/0.72 % (1510514)Termination phase: shuffling
% 1.89/0.72 % (1510514)Time elapsed: 0.022 s
% 1.89/0.72 % (1510514)Peak memory usage: 10 MB
% 1.89/0.72 % (1510514)Instructions burned: 26 (million)
% 1.89/0.72 % (1510519)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=1229858565:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.89/0.72 % (1510519)Instruction limit reached!
% 1.89/0.72 % (1510519)------------------------------
% 1.89/0.72 % (1510519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510519)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510519)Termination reason: Instruction limit
% 1.89/0.72 % (1510519)Termination phase: shuffling
% 1.89/0.72 % (1510519)Time elapsed: 0.013 s
% 1.89/0.72 % (1510519)Peak memory usage: 10 MB
% 1.89/0.72 % (1510519)Instructions burned: 14 (million)
% 1.89/0.72 % (1510523)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.89/0.72 % (1510523)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=1588873960:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.89/0.72 % (1510524)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=4232042908:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.89/0.72 % (1510523)Instruction limit reached!
% 1.89/0.72 % (1510523)------------------------------
% 1.89/0.72 % (1510523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510523)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510523)Termination reason: Instruction limit
% 1.89/0.72 % (1510523)Termination phase: shuffling
% 1.89/0.72 % (1510523)Time elapsed: 0.008 s
% 1.89/0.72 % (1510523)Peak memory usage: 10 MB
% 1.89/0.72 % (1510523)Instructions burned: 8 (million)
% 1.89/0.72 % (1510475) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1510467-1510475"...
% 1.89/0.72 % (1510518)Instruction limit reached!
% 1.89/0.72 % (1510518)------------------------------
% 1.89/0.72 % (1510518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.72 % (1510518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.72 % (1510518)CaDiCaL version: 2.1.3
% 1.89/0.72 % (1510518)Termination reason: Instruction limit
% 1.89/0.72 % (1510518)Termination phase: Property scanning
% 1.89/0.72 % (1510518)Time elapsed: 0.046 s
% 1.89/0.72 % (1510518)Peak memory usage: 11 MB
% 1.89/0.72 % (1510518)Instructions burned: 60 (million)
% 1.89/0.72 % (1510526)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1565607284:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.89/0.72 % (1510475)...printing done.
% 1.89/0.72 % (1510475)Refutation found. Thanks to Tanya!
% 1.89/0.72 % SZS status Theorem for theBenchmark
% 1.89/0.72 % SZS output start Proof for theBenchmark
% 1.89/0.72 thf(type_def_5, type, set: $tType > $tType).
% 1.89/0.72 thf(type_def_6, type, c: $tType).
% 1.89/0.72 thf(type_def_7, type, b: $tType).
% 1.89/0.72 thf(type_def_8, type, a: $tType).
% 1.89/0.72 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.89/0.72 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_2, type, uminus: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_4, type, top: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_6, type, lattice: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 1.89/0.72 thf(func_def_9, type, order_top: !>[X0: $tType]:($o)).
% 1.89/0.73 thf(func_def_10, type, boolean_algebra: !>[X0: $tType]:($o)).
% 1.89/0.73 thf(func_def_11, type, semilattice_sup: !>[X0: $tType]:($o)).
% 1.89/0.73 thf(func_def_12, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.89/0.73 thf(func_def_13, type, bounded_lattice_top: !>[X0: $tType]:($o)).
% 1.89/0.73 thf(func_def_14, type, finite_Fpow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 1.89/0.73 thf(func_def_15, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 1.89/0.73 thf(func_def_16, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 1.89/0.73 thf(func_def_17, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 1.89/0.73 thf(func_def_18, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 1.89/0.73 thf(func_def_19, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.89/0.73 thf(func_def_20, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.89/0.73 thf(func_def_21, type, top_top: !>[X0: $tType]:(X0)).
% 1.89/0.73 thf(func_def_22, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.89/0.73 thf(func_def_23, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 1.89/0.73 thf(func_def_24, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.89/0.73 thf(func_def_25, type, f: (a > b)).
% 1.89/0.73 thf(func_def_26, type, g: (c > a)).
% 1.89/0.73 thf(func_def_27, type, h: (c > a)).
% 1.89/0.73 thf(func_def_31, type, db2: !>[X0: $tType]:(X0)).
% 1.89/0.73 thf(func_def_32, type, db1: !>[X0: $tType]:(X0)).
% 1.89/0.73 thf(func_def_33, type, db0: !>[X0: $tType]:(X0)).
% 1.89/0.73 thf(func_def_34, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.89/0.73 thf(func_def_35, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.89/0.73 thf(func_def_36, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.89/0.73 thf(func_def_37, type, vIMP: ($o > $o > $o)).
% 1.89/0.73 thf(func_def_38, type, db3: !>[X0: $tType]:(X0)).
% 1.89/0.73 thf(func_def_39, type, vAND: ($o > $o > $o)).
% 1.89/0.73 thf(func_def_40, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.89/0.73 thf(func_def_41, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.89/0.73 thf(func_def_42, type, sK2: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_43, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X2 > X0) > X1 > X2))).
% 1.89/0.73 thf(func_def_44, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X2 > X0) > X0))).
% 1.89/0.73 thf(func_def_45, type, sK5: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_46, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > set @ X1 > X1))).
% 1.89/0.73 thf(func_def_47, type, sK7: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_48, type, sK8: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > $o) > set @ X0 > X1))).
% 1.89/0.73 thf(func_def_49, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X2 > X1) > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_50, type, sK10: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > $o) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_51, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > set @ X1))).
% 1.89/0.73 thf(func_def_52, type, sK12: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X1) > X1))).
% 1.89/0.73 thf(func_def_53, type, sK13: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X1) > X1))).
% 1.89/0.73 thf(func_def_54, type, sK14: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.89/0.73 thf(func_def_55, type, sK15: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.89/0.73 thf(func_def_56, type, sK16: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.89/0.73 thf(func_def_57, type, sK17: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.89/0.73 thf(func_def_58, type, sK18: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.89/0.73 thf(func_def_59, type, sK19: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.89/0.73 thf(func_def_60, type, sK20: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.89/0.73 thf(func_def_61, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_62, type, sK22: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > set @ X0))).
% 1.89/0.73 thf(func_def_63, type, sK23: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_64, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_65, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X2) > (X1 > X0) > X0))).
% 1.89/0.73 thf(func_def_66, type, sK26: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_67, type, sK27: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_68, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X2 > X1) > (X1 > X0) > (X1 > X0) > X2))).
% 1.89/0.73 thf(func_def_69, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X2) > (X1 > X0) > X0))).
% 1.89/0.73 thf(func_def_70, type, sK30: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_71, type, sK31: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_72, type, sK32: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_73, type, sK33: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_74, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_75, type, sK35: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_76, type, sK36: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.89/0.73 thf(func_def_77, type, sK37: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_78, type, sK38: !>[X0: $tType]:((set @ X0 > X0))).
% 1.89/0.73 thf(func_def_79, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 1.89/0.73 thf(func_def_80, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > (X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_81, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X1 > X0) > (X2 > X1) > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_82, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1) > (X1 > X0) > (X2 > X1) > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_83, type, sK43: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.89/0.73 thf(func_def_84, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_85, type, sK45: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > set @ X1 > X1))).
% 1.89/0.73 thf(func_def_86, type, sK46: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_87, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_88, type, sK48: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.89/0.73 thf(func_def_89, type, sK49: !>[X0: $tType]:(X0)).
% 1.89/0.73 thf(func_def_90, type, sK50: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_91, type, sK51: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_92, type, sK52: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > X1) > set @ X0))).
% 1.89/0.73 thf(func_def_93, type, sK53: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_94, type, sK54: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_95, type, sK55: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > $o) > X1))).
% 1.89/0.73 thf(func_def_96, type, sK56: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > $o) > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_97, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_98, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_99, type, sK59: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_100, type, sK60: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.89/0.73 thf(func_def_101, type, sK61: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.89/0.73 thf(func_def_102, type, sK62: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_103, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_104, type, sK64: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_105, type, sK65: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ X0 > (X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_106, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ X0 > (X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_107, type, sK67: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_108, type, sK68: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > set @ X0 > (X0 > X1) > set @ X0))).
% 1.89/0.73 thf(func_def_109, type, sK69: !>[X0: $tType, X1: $tType]:(((set @ X1 > $o) > set @ X0 > (X0 > X1) > set @ X1))).
% 1.89/0.73 thf(func_def_110, type, sK70: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_111, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_112, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > (X1 > X0) > (X2 > X1) > X1))).
% 1.89/0.73 thf(func_def_113, type, sK73: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 1.89/0.73 thf(func_def_114, type, sK74: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 1.89/0.73 thf(func_def_115, type, sK75: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 1.89/0.73 thf(func_def_116, type, sK76: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 1.89/0.73 thf(func_def_117, type, sK77: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.89/0.73 thf(func_def_118, type, sK78: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.89/0.73 thf(func_def_119, type, sK79: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.89/0.73 thf(func_def_120, type, sK80: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.89/0.73 thf(func_def_121, type, sK81: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X0 > $o) > set @ X1 > set @ X0))).
% 1.89/0.73 thf(func_def_122, type, sK82: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (set @ X0 > $o) > set @ X1 > set @ X1))).
% 1.89/0.73 thf(func_def_123, type, sK83: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_124, type, sK84: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_125, type, sK85: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_126, type, sK86: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_127, type, sK87: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 1.89/0.73 thf(func_def_128, type, sK88: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (set @ X1 > $o) > set @ X0 > set @ X1))).
% 1.89/0.73 thf(func_def_129, type, sK89: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (set @ X1 > $o) > set @ X0 > set @ X0))).
% 1.89/0.73 thf(func_def_130, type, vNOT: ($o > $o)).
% 1.89/0.73 thf(func_def_132, type, sK91: c).
% 1.89/0.73 thf(func_def_133, type, inv_g_92: (a > c)).
% 1.89/0.73 thf(f3,axiom,(
% 1.89/0.73 ! [X1 : $tType,X2 : $tType,X0 : $tType,X4 : (X2 > X1),X5 : (X2 > X1),X3 : (X1 > X0)] : ((((comp @ X1 @ X0 @ X2 @ X3 @ X4)) = ((comp @ X1 @ X0 @ X2 @ X3 @ X5))) => ((inj_on @ X1 @ X0 @ X3 @ (sup_sup @ set @ X1 @ (image @ X2 @ X1 @ X4 @ top_top @ set @ X2) @ (image @ X2 @ X1 @ X5 @ top_top @ set @ X2))) => (X4 = X5)))),
% 1.89/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_o__inj__on)).
% 1.89/0.73 thf(f291,axiom,(
% 1.89/0.73 (inj_on @ a @ b @ f @ (sup_sup @ set @ a @ (image @ c @ a @ g @ top_top @ set @ c) @ (image @ c @ a @ h @ top_top @ set @ c)))),
% 1.89/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.89/0.73 thf(f292,axiom,(
% 1.89/0.73 (((comp @ a @ b @ c @ f @ g)) = ((comp @ a @ b @ c @ f @ h)))),
% 1.89/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 1.89/0.73 thf(f293,conjecture,(
% 1.89/0.73 (g = h)),
% 1.89/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 1.89/0.73 thf(f294,negated_conjecture,(
% 1.89/0.73 ~ (g = h)),
% 1.89/0.73 inference(negated_conjecture,[status(cth)],[f293])).
% 1.89/0.73 thf(f305,plain,(
% 1.89/0.73 (inj_on @ a @ b @ f @ (sup_sup @ set @ a @ (image @ c @ a @ g @ top_top @ set @ c) @ (image @ c @ a @ h @ top_top @ set @ c)))),
% 1.89/0.73 inference(rectify,[],[f291])).
% 1.89/0.73 thf(f306,plain,(
% 1.89/0.73 (((inj_on @ a @ b @ f @ (sup_sup @ set @ a @ (image @ c @ a @ g @ top_top @ set @ c) @ (image @ c @ a @ h @ top_top @ set @ c)))) = $true)),
% 1.89/0.73 inference(fool_elimination,[],[f305])).
% 1.89/0.73 thf(f664,plain,(
% 1.89/0.73 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X1 > X0),X5 : (X0 > X2)] : ((((comp @ X0 @ X2 @ X1 @ X5 @ X3)) = ((comp @ X0 @ X2 @ X1 @ X5 @ X4))) => ((inj_on @ X0 @ X2 @ X5 @ (sup_sup @ set @ X0 @ (image @ X1 @ X0 @ X3 @ top_top @ set @ X1) @ (image @ X1 @ X0 @ X4 @ top_top @ set @ X1))) => (X3 = X4)))),
% 1.89/0.73 inference(rectify,[],[f3])).
% 1.89/0.73 thf(f665,plain,(
% 1.89/0.73 ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X1 > X0),X5 : (X0 > X2)] : ((((comp @ X0 @ X2 @ X1 @ X5 @ X3)) = ((comp @ X0 @ X2 @ X1 @ X5 @ X4))) => ((((inj_on @ X0 @ X2 @ X5 @ (sup_sup @ set @ X0 @ (image @ X1 @ X0 @ X3 @ top_top @ set @ X1) @ (image @ X1 @ X0 @ X4 @ top_top @ set @ X1)))) = $true) => (X3 = X4)))),
% 1.89/0.73 inference(fool_elimination,[],[f664])).
% 1.89/0.73 thf(f831,plain,(
% 1.89/0.73 (g != h)),
% 1.89/0.73 inference(flattening,[],[f294])).
% 1.89/0.73 thf(f931,plain,(
% 1.89/0.73 ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X1 > X0),X5 : (X0 > X2)] : (((X3 = X4) | (((inj_on @ X0 @ X2 @ X5 @ (sup_sup @ set @ X0 @ (image @ X1 @ X0 @ X3 @ top_top @ set @ X1) @ (image @ X1 @ X0 @ X4 @ top_top @ set @ X1)))) != $true)) | (((comp @ X0 @ X2 @ X1 @ X5 @ X3)) != ((comp @ X0 @ X2 @ X1 @ X5 @ X4))))),
% 1.89/0.73 inference(ennf_transformation,[],[f665])).
% 1.89/0.73 thf(f932,plain,(
% 1.89/0.73 ! [X2 : $tType,X0 : $tType,X1 : $tType,X5 : (X0 > X2),X3 : (X1 > X0),X4 : (X1 > X0)] : ((((comp @ X0 @ X2 @ X1 @ X5 @ X3)) != ((comp @ X0 @ X2 @ X1 @ X5 @ X4))) | (X3 = X4) | (((inj_on @ X0 @ X2 @ X5 @ (sup_sup @ set @ X0 @ (image @ X1 @ X0 @ X3 @ top_top @ set @ X1) @ (image @ X1 @ X0 @ X4 @ top_top @ set @ X1)))) != $true))),
% 1.89/0.73 inference(flattening,[],[f931])).
% 1.89/0.73 thf(f1268,plain,(
% 1.89/0.73 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X2 > X1),X5 : (X2 > X1)] : ((((comp @ X1 @ X0 @ X2 @ X3 @ X4)) != ((comp @ X1 @ X0 @ X2 @ X3 @ X5))) | (X4 = X5) | (((inj_on @ X1 @ X0 @ X3 @ (sup_sup @ set @ X1 @ (image @ X2 @ X1 @ X4 @ top_top @ set @ X2) @ (image @ X2 @ X1 @ X5 @ top_top @ set @ X2)))) != $true))),
% 1.89/0.73 inference(rectify,[],[f932])).
% 1.89/0.73 thf(f1489,plain,(
% 1.89/0.73 (((inj_on @ a @ b @ f @ (sup_sup @ set @ a @ (image @ c @ a @ g @ top_top @ set @ c) @ (image @ c @ a @ h @ top_top @ set @ c)))) = $true)),
% 1.89/0.73 inference(cnf_transformation,[],[f306])).
% 1.89/0.73 thf(f1532,plain,(
% 1.89/0.73 (((comp @ a @ b @ c @ f @ g)) = ((comp @ a @ b @ c @ f @ h)))),
% 1.89/0.73 inference(cnf_transformation,[],[f292])).
% 1.89/0.73 thf(f1633,plain,(
% 1.89/0.73 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X2 > X1),X5 : (X2 > X1)] : ((((inj_on @ X1 @ X0 @ X3 @ (sup_sup @ set @ X1 @ (image @ X2 @ X1 @ X4 @ top_top @ set @ X2) @ (image @ X2 @ X1 @ X5 @ top_top @ set @ X2)))) != $true) | (((comp @ X1 @ X0 @ X2 @ X3 @ X4)) != ((comp @ X1 @ X0 @ X2 @ X3 @ X5))) | (X4 = X5)) )),
% 1.89/0.73 inference(cnf_transformation,[],[f1268])).
% 1.89/0.73 thf(f1806,plain,(
% 1.89/0.73 (g != h)),
% 1.89/0.73 inference(cnf_transformation,[],[f831])).
% 1.89/0.73 thf(f1958,definition,(
% 1.89/0.73 spl90_5 <=> (((comp @ a @ b @ c @ f @ g)) = ((comp @ a @ b @ c @ f @ h)))),
% 1.89/0.73 introduced(definition,[new_symbols(definition,[spl90_5])],[avatar_definition])).
% 1.89/0.73 thf(f1960,plain,(
% 1.89/0.73 (((comp @ a @ b @ c @ f @ g)) = ((comp @ a @ b @ c @ f @ h))) | ~spl90_5),
% 1.89/0.73 inference(avatar_component_clause,[],[f1958])).
% 1.89/0.73 thf(f1961,plain,(
% 1.89/0.73 spl90_5),
% 1.89/0.73 inference(avatar_split_clause,[],[f1532,f1958])).
% 1.89/0.73 thf(f1963,definition,(
% 1.89/0.73 spl90_6 <=> (g = h)),
% 1.89/0.73 introduced(definition,[new_symbols(definition,[spl90_6])],[avatar_definition])).
% 1.89/0.73 thf(f1965,plain,(
% 1.89/0.73 (g != h) | spl90_6),
% 1.89/0.73 inference(avatar_component_clause,[],[f1963])).
% 1.89/0.73 thf(f1966,plain,(
% 1.89/0.73 ~spl90_6),
% 1.89/0.73 inference(avatar_split_clause,[],[f1806,f1963])).
% 1.89/0.73 thf(f2008,definition,(
% 1.89/0.73 spl90_15 <=> (((inj_on @ a @ b @ f @ (sup_sup @ set @ a @ (image @ c @ a @ g @ top_top @ set @ c) @ (image @ c @ a @ h @ top_top @ set @ c)))) = $true)),
% 1.89/0.73 introduced(definition,[new_symbols(definition,[spl90_15])],[avatar_definition])).
% 1.89/0.73 thf(f2010,plain,(
% 1.89/0.73 (((inj_on @ a @ b @ f @ (sup_sup @ set @ a @ (image @ c @ a @ g @ top_top @ set @ c) @ (image @ c @ a @ h @ top_top @ set @ c)))) = $true) | ~spl90_15),
% 1.89/0.73 inference(avatar_component_clause,[],[f2008])).
% 1.89/0.73 thf(f2011,plain,(
% 1.89/0.73 spl90_15),
% 1.89/0.73 inference(avatar_split_clause,[],[f1489,f2008])).
% 1.89/0.73 thf(f3816,plain,(
% 1.89/0.73 (((comp @ a @ b @ c @ f @ g)) != ((comp @ a @ b @ c @ f @ h))) | (g = h) | ($true != $true) | ~spl90_15),
% 1.89/0.73 inference(superposition,[],[f1633,f2010])).
% 1.89/0.73 thf(f3818,plain,(
% 1.89/0.73 (g = h) | (((comp @ a @ b @ c @ f @ g)) != ((comp @ a @ b @ c @ f @ h))) | ~spl90_15),
% 1.89/0.73 inference(trivial_inequality_removal,[],[f3816])).
% 1.89/0.73 thf(f3821,plain,(
% 1.89/0.73 (((comp @ a @ b @ c @ f @ g)) != ((comp @ a @ b @ c @ f @ h))) | (spl90_6 | ~spl90_15)),
% 1.89/0.73 inference(forward_subsumption_resolution,[],[f3818,f1965])).
% 1.89/0.73 thf(f3824,plain,(
% 1.89/0.73 $false | (~spl90_5 | spl90_6 | ~spl90_15)),
% 1.89/0.73 inference(forward_subsumption_resolution,[],[f3821,f1960])).
% 1.89/0.73 thf(f3825,plain,(
% 1.89/0.73 ~spl90_5 | spl90_6 | ~spl90_15),
% 1.89/0.73 inference(avatar_contradiction_clause,[],[f3824])).
% 1.89/0.73 cnf(s5, plain, spl90_5, inference(sat_conversion,[],[f1961])).
% 1.89/0.73 cnf(s6, plain, ~spl90_6, inference(sat_conversion,[],[f1966])).
% 1.89/0.73 cnf(s15, plain, spl90_15, inference(sat_conversion,[],[f2011])).
% 1.89/0.73 cnf(s59, plain, ~spl90_5 | spl90_6 | ~spl90_15, inference(sat_conversion,[],[f3825])).
% 1.89/0.73 cnf(s60, plain, ~spl90_5, inference(rat,[],[s59,s15,s6])).
% 1.89/0.73 cnf(s62, plain, $false, inference(rat,[],[s5,s60])).
% 1.89/0.73 thf(f3826,plain,(
% 1.89/0.73 $false),
% 1.89/0.73 inference(avatar_sat_refutation,[],[s62])).
% 1.89/0.73 % SZS output end Proof for theBenchmark
% 1.89/0.73 % (1510475)------------------------------
% 1.89/0.73 % (1510475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.73 % (1510475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.73 % (1510475)CaDiCaL version: 2.1.3
% 1.89/0.73 % (1510475)Termination reason: Refutation
% 1.89/0.73 % (1510475)Time elapsed: 0.262 s
% 1.89/0.73 % (1510475)Peak memory usage: 17 MB
% 1.89/0.73 % (1510475)Instructions burned: 556 (million)
% 1.89/0.73 % (1510467)Success in time 0.306 s
% 1.89/0.73 % Vampire exiting
%------------------------------------------------------------------------------