%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP065^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:08:11 AM UTC 2026
% Result : Theorem 0.94s 0.49s
% Output : Refutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP065^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:45:25 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.31 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.94/0.46 % (1218514)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.94/0.46 % (1218523)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1970204820:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.94/0.46 % (1218525)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.94/0.46 % (1218525)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
% 0.94/0.46 % (1218523)Instruction limit reached!
% 0.94/0.46 % (1218523)------------------------------
% 0.94/0.46 % (1218523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (1218523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (1218523)CaDiCaL version: 2.1.3
% 0.94/0.46 % (1218523)Termination reason: Instruction limit
% 0.94/0.46 % (1218523)Termination phase: shuffling
% 0.94/0.46 % (1218523)Time elapsed: 0.006 s
% 0.94/0.46 % (1218523)Peak memory usage: 10 MB
% 0.94/0.46 % (1218523)Instructions burned: 25 (million)
% 0.94/0.46 % (1218519)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1044402511:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.94/0.46 % (1218520)lrs+10_16_si=on:nwc=1.5:random_seed=3591401613:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.94/0.46 % (1218521)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=825291136:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.94/0.46 % (1218522)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=3225539955: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)
% 0.94/0.46 % (1218524)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2903703521:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.94/0.46 % (1218525)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=1236845545:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.94/0.46 % (1218521)Instruction limit reached!
% 0.94/0.46 % (1218521)------------------------------
% 0.94/0.46 % (1218521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (1218521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (1218521)CaDiCaL version: 2.1.3
% 0.94/0.46 % (1218521)Termination reason: Instruction limit
% 0.94/0.46 % (1218521)Termination phase: shuffling
% 0.94/0.46 % (1218521)Time elapsed: 0.002 s
% 0.94/0.46 % (1218521)Peak memory usage: 10 MB
% 0.94/0.46 % (1218521)Instructions burned: 3 (million)
% 0.94/0.46 % (1218520)Instruction limit reached!
% 0.94/0.46 % (1218520)------------------------------
% 0.94/0.46 % (1218520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (1218520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (1218520)CaDiCaL version: 2.1.3
% 0.94/0.46 % (1218520)Termination reason: Instruction limit
% 0.94/0.46 % (1218520)Termination phase: shuffling
% 0.94/0.46 % (1218520)Time elapsed: 0.009 s
% 0.94/0.46 % (1218520)Peak memory usage: 10 MB
% 0.94/0.46 % (1218520)Instructions burned: 19 (million)
% 0.94/0.46 % (1218529)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1615478515:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.94/0.46 % (1218529)Instruction limit reached!
% 0.94/0.46 % (1218529)------------------------------
% 0.94/0.46 % (1218529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (1218529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (1218529)CaDiCaL version: 2.1.3
% 0.94/0.46 % (1218529)Termination reason: Instruction limit
% 0.94/0.46 % (1218529)Termination phase: shuffling
% 0.94/0.46 % (1218529)Time elapsed: 0.002 s
% 0.94/0.46 % (1218529)Peak memory usage: 10 MB
% 0.94/0.46 % (1218529)Instructions burned: 3 (million)
% 0.94/0.46 % (1218534)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3892514758:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.94/0.49 % (1218534)Instruction limit reached!
% 0.94/0.49 % (1218534)------------------------------
% 0.94/0.49 % (1218534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218534)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218534)Termination reason: Instruction limit
% 0.94/0.49 % (1218534)Termination phase: shuffling
% 0.94/0.49 % (1218534)Time elapsed: 0.003 s
% 0.94/0.49 % (1218534)Peak memory usage: 10 MB
% 0.94/0.49 % (1218534)Instructions burned: 5 (million)
% 0.94/0.49 % (1218535)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.94/0.49 % (1218535)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3215159966:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.94/0.49 % (1218535)Instruction limit reached!
% 0.94/0.49 % (1218535)------------------------------
% 0.94/0.49 % (1218535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218535)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218535)Termination reason: Instruction limit
% 0.94/0.49 % (1218535)Termination phase: shuffling
% 0.94/0.49 % (1218535)Time elapsed: 0.004 s
% 0.94/0.49 % (1218535)Peak memory usage: 10 MB
% 0.94/0.49 % (1218535)Instructions burned: 8 (million)
% 0.94/0.49 % (1218524)Instruction limit reached!
% 0.94/0.49 % (1218524)------------------------------
% 0.94/0.49 % (1218524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218524)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218524)Termination reason: Instruction limit
% 0.94/0.49 % (1218524)Termination phase: Preprocessing 2
% 0.94/0.49 % (1218524)Time elapsed: 0.035 s
% 0.94/0.49 % (1218524)Peak memory usage: 11 MB
% 0.94/0.49 % (1218524)Instructions burned: 76 (million)
% 0.94/0.49 % (1218539)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
% 0.94/0.49 % (1218538)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1469745588:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.94/0.49 % (1218539)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.94/0.49 % (1218519)Instruction limit reached!
% 0.94/0.49 % (1218519)------------------------------
% 0.94/0.49 % (1218519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218519)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218519)Termination reason: Instruction limit
% 0.94/0.49 % (1218519)Termination phase: Preprocessing 3
% 0.94/0.49 % (1218519)Time elapsed: 0.042 s
% 0.94/0.49 % (1218519)Peak memory usage: 12 MB
% 0.94/0.49 % (1218519)Instructions burned: 89 (million)
% 0.94/0.49 % (1218539)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2139061247:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.94/0.49 % (1218538)Instruction limit reached!
% 0.94/0.49 % (1218538)------------------------------
% 0.94/0.49 % (1218538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218538)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218538)Termination reason: Instruction limit
% 0.94/0.49 % (1218538)Termination phase: shuffling
% 0.94/0.49 % (1218538)Time elapsed: 0.006 s
% 0.94/0.49 % (1218538)Peak memory usage: 10 MB
% 0.94/0.49 % (1218538)Instructions burned: 13 (million)
% 0.94/0.49 % (1218541)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=3868309378:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.94/0.49 % (1218542)lrs+10_1_si=on:cs=on:random_seed=334330128:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.94/0.49 % (1218544)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.94/0.49 % (1218539)Instruction limit reached!
% 0.94/0.49 % (1218539)------------------------------
% 0.94/0.49 % (1218539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218539)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218539)Termination reason: Instruction limit
% 0.94/0.49 % (1218539)Termination phase: shuffling
% 0.94/0.49 % (1218539)Time elapsed: 0.014 s
% 0.94/0.49 % (1218539)Peak memory usage: 10 MB
% 0.94/0.49 % (1218539)Instructions burned: 29 (million)
% 0.94/0.49 % (1218544)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=746538778:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.94/0.49 % (1218542)Instruction limit reached!
% 0.94/0.49 % (1218542)------------------------------
% 0.94/0.49 % (1218542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218542)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218542)Termination reason: Instruction limit
% 0.94/0.49 % (1218542)Termination phase: shuffling
% 0.94/0.49 % (1218542)Time elapsed: 0.007 s
% 0.94/0.49 % (1218542)Peak memory usage: 10 MB
% 0.94/0.49 % (1218542)Instructions burned: 14 (million)
% 0.94/0.49 % (1218546)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=193752998:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.94/0.49 % (1218544)Instruction limit reached!
% 0.94/0.49 % (1218544)------------------------------
% 0.94/0.49 % (1218544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218544)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218544)Termination reason: Instruction limit
% 0.94/0.49 % (1218544)Termination phase: shuffling
% 0.94/0.49 % (1218544)Time elapsed: 0.004 s
% 0.94/0.49 % (1218544)Peak memory usage: 10 MB
% 0.94/0.49 % (1218544)Instructions burned: 9 (million)
% 0.94/0.49 % (1218525)Instruction limit reached!
% 0.94/0.49 % (1218525)------------------------------
% 0.94/0.49 % (1218525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218525)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218525)Termination reason: Instruction limit
% 0.94/0.49 % (1218525)Termination phase: Property scanning
% 0.94/0.49 % (1218525)Time elapsed: 0.073 s
% 0.94/0.49 % (1218525)Peak memory usage: 13 MB
% 0.94/0.49 % (1218525)Instructions burned: 159 (million)
% 0.94/0.49 % (1218546)Instruction limit reached!
% 0.94/0.49 % (1218546)------------------------------
% 0.94/0.49 % (1218546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218546)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218546)Termination reason: Instruction limit
% 0.94/0.49 % (1218546)Termination phase: Property scanning
% 0.94/0.49 % (1218546)Time elapsed: 0.010 s
% 0.94/0.49 % (1218546)Peak memory usage: 11 MB
% 0.94/0.49 % (1218546)Instructions burned: 40 (million)
% 0.94/0.49 % (1218549)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2643110713:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.94/0.49 % (1218551)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2823299721:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.94/0.49 % (1218553)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=490207867:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.49 % (1218554)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=121631581:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.94/0.49 % (1218541)Instruction limit reached!
% 0.94/0.49 % (1218541)------------------------------
% 0.94/0.49 % (1218541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218541)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218541)Termination reason: Instruction limit
% 0.94/0.49 % (1218541)Termination phase: Property scanning
% 0.94/0.49 % (1218541)Time elapsed: 0.038 s
% 0.94/0.49 % (1218541)Peak memory usage: 11 MB
% 0.94/0.49 % (1218541)Instructions burned: 87 (million)
% 0.94/0.49 % (1218553)Instruction limit reached!
% 0.94/0.49 % (1218553)------------------------------
% 0.94/0.49 % (1218553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218553)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218553)Termination reason: Instruction limit
% 0.94/0.49 % (1218553)Termination phase: shuffling
% 0.94/0.49 % (1218553)Time elapsed: 0.007 s
% 0.94/0.49 % (1218553)Peak memory usage: 11 MB
% 0.94/0.49 % (1218553)Instructions burned: 14 (million)
% 0.94/0.49 % (1218551)Instruction limit reached!
% 0.94/0.49 % (1218551)------------------------------
% 0.94/0.49 % (1218551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218551)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218551)Termination reason: Instruction limit
% 0.94/0.49 % (1218551)Termination phase: shuffling
% 0.94/0.49 % (1218551)Time elapsed: 0.012 s
% 0.94/0.49 % (1218551)Peak memory usage: 11 MB
% 0.94/0.49 % (1218551)Instructions burned: 25 (million)
% 0.94/0.49 % (1218555)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2694948874:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.49 % (1218555)Instruction limit reached!
% 0.94/0.49 % (1218555)------------------------------
% 0.94/0.49 % (1218555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218555)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218555)Termination reason: Instruction limit
% 0.94/0.49 % (1218555)Termination phase: shuffling
% 0.94/0.49 % (1218555)Time elapsed: 0.007 s
% 0.94/0.49 % (1218555)Peak memory usage: 10 MB
% 0.94/0.49 % (1218555)Instructions burned: 15 (million)
% 0.94/0.49 % (1218560)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3533614813:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.94/0.49 % (1218561)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=946331968:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.94/0.49 % (1218560)Instruction limit reached!
% 0.94/0.49 % (1218560)------------------------------
% 0.94/0.49 % (1218560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218563)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1526372539:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.94/0.49 % (1218560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218560)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218560)Termination reason: Instruction limit
% 0.94/0.49 % (1218560)Termination phase: shuffling
% 0.94/0.49 % (1218560)Time elapsed: 0.002 s
% 0.94/0.49 % (1218560)Peak memory usage: 10 MB
% 0.94/0.49 % (1218560)Instructions burned: 3 (million)
% 0.94/0.49 % (1218549) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1218514-1218549"...
% 0.94/0.49 % (1218522) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1218514-1218522"...
% 0.94/0.49 % (1218549)...printing done.
% 0.94/0.49 % (1218549)Refutation found. Thanks to Tanya!
% 0.94/0.49 % SZS status Theorem for theBenchmark
% 0.94/0.49 % SZS output start Proof for theBenchmark
% 0.94/0.49 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 0.94/0.49 thf(type_def_6, type, multiset: $tType > $tType).
% 0.94/0.49 thf(type_def_7, type, list: $tType > $tType).
% 0.94/0.49 thf(type_def_8, type, tree: $tType > $tType).
% 0.94/0.49 thf(type_def_9, type, set: $tType > $tType).
% 0.94/0.49 thf(type_def_10, type, b: $tType).
% 0.94/0.49 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.94/0.49 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.94/0.49 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 0.94/0.49 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 0.94/0.49 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 0.94/0.49 thf(func_def_4, type, preorder: !>[X0: $tType]:($o)).
% 0.94/0.49 thf(func_def_5, type, heapIm818251801eapify: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_6, type, heapIm721255937_empty: !>[X0: $tType]:((tree @ X0 > $o))).
% 0.94/0.49 thf(func_def_7, type, heapIm874063447f_list: !>[X0: $tType]:((list @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_8, type, heapIm1271749598e_left: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_9, type, heapIm1912108042t_tree: !>[X0: $tType]:((list @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_10, type, heapIm1434396069_right: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_11, type, heapIm748920189ftDown: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_12, type, heap: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 0.94/0.49 thf(func_def_13, type, heap_axioms: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 0.94/0.49 thf(func_def_14, type, e: !>[X0: $tType]:(tree @ X0)).
% 0.94/0.49 thf(func_def_15, type, t: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_16, type, case_Tree: !>[X0: $tType, X1: $tType]:((X0 > (X1 > tree @ X1 > tree @ X1 > X0) > tree @ X1 > X0))).
% 0.94/0.49 thf(func_def_17, type, pred_Tree: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > $o))).
% 0.94/0.49 thf(func_def_18, type, rec_Tree: !>[X0: $tType, X1: $tType]:((X0 > (X1 > tree @ X1 > tree @ X1 > X0 > X0 > X0) > tree @ X1 > X0))).
% 0.94/0.49 thf(func_def_19, type, in_tree: !>[X0: $tType]:((X0 > tree @ X0 > $o))).
% 0.94/0.49 thf(func_def_20, type, is_heap: !>[X0: $tType]:((tree @ X0 > $o))).
% 0.94/0.49 thf(func_def_21, type, multiset2: !>[X0: $tType]:((tree @ X0 > multiset @ X0))).
% 0.94/0.49 thf(func_def_22, type, val: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_23, type, lattic929149872er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 0.94/0.49 thf(func_def_24, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.94/0.49 thf(func_def_25, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 0.94/0.49 thf(func_def_26, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.94/0.49 thf(func_def_27, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 0.94/0.49 thf(func_def_28, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 0.94/0.49 thf(func_def_29, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.94/0.49 thf(func_def_30, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.94/0.49 thf(func_def_31, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.94/0.49 thf(func_def_32, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 0.94/0.49 thf(func_def_33, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 0.94/0.49 thf(func_def_34, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.94/0.49 thf(func_def_35, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.94/0.49 thf(func_def_36, type, add_mset: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0))).
% 0.94/0.49 thf(func_def_37, type, linorder_part: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > list @ X0 > product_prod @ list @ X0 @ product_prod @ list @ X0 @ list @ X0))).
% 0.94/0.49 thf(func_def_38, type, set_mset: !>[X0: $tType]:((multiset @ X0 > set @ X0))).
% 0.94/0.49 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.94/0.49 thf(func_def_40, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.94/0.49 thf(func_def_41, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.94/0.49 thf(func_def_42, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.94/0.49 thf(func_def_43, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 0.94/0.49 thf(func_def_44, type, collection: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > $o))).
% 0.94/0.49 thf(func_def_45, type, set2: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > X0 > set @ X1))).
% 0.94/0.49 thf(func_def_46, type, removeMax: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > $o))).
% 0.94/0.49 thf(func_def_47, type, ssort: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > product_prod @ X1 @ X0) > X0 > list @ X1 > list @ X1))).
% 0.94/0.49 thf(func_def_48, type, ssort_dom: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > product_prod @ X1 @ X0) > product_prod @ X0 @ list @ X1 > $o))).
% 0.94/0.49 thf(func_def_49, type, removeMax_axioms: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > $o))).
% 0.94/0.49 thf(func_def_50, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.94/0.49 thf(func_def_51, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.94/0.49 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 0.94/0.49 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.94/0.49 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.94/0.49 thf(func_def_58, type, vOR: ($o > $o > $o)).
% 0.94/0.49 thf(func_def_59, type, db0: !>[X0: $tType]:(X0)).
% 0.94/0.49 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.94/0.49 thf(func_def_61, type, db5: !>[X0: $tType]:(X0)).
% 0.94/0.49 thf(func_def_62, type, db4: !>[X0: $tType]:(X0)).
% 0.94/0.49 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 0.94/0.49 thf(func_def_64, type, db2: !>[X0: $tType]:(X0)).
% 0.94/0.49 thf(func_def_65, type, db1: !>[X0: $tType]:(X0)).
% 0.94/0.49 thf(func_def_66, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.94/0.49 thf(func_def_67, type, vIMP: ($o > $o > $o)).
% 0.94/0.49 thf(func_def_68, type, vNOT: ($o > $o)).
% 0.94/0.49 thf(func_def_69, type, db7: !>[X0: $tType]:(X0)).
% 0.94/0.49 thf(func_def_70, type, sP0: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 0.94/0.49 thf(func_def_71, type, sP1: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 0.94/0.49 thf(func_def_72, type, sP2: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 0.94/0.49 thf(func_def_73, type, sK3: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_74, type, sK4: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_75, type, sK5: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_76, type, sK6: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_77, type, sK7: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_78, type, sK8: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_79, type, sK9: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_80, type, sK10: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_81, type, sK11: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_82, type, sK12: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_83, type, sK13: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_84, type, sK14: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_85, type, sK15: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_86, type, sK16: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_87, type, sK17: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_88, type, sK18: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_89, type, sK19: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_90, type, sK20: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_91, type, sK21: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_92, type, sK22: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_93, type, sK23: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_94, type, sK24: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_95, type, sK25: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_96, type, sK26: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_97, type, sK27: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_98, type, sK28: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_99, type, sK29: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_100, type, sK30: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_101, type, sK31: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_102, type, sK32: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_103, type, sK33: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_104, type, sK34: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_105, type, sK35: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_106, type, sK36: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_107, type, sK37: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_108, type, sK38: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_109, type, sK39: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_110, type, sK40: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_111, type, sK41: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_112, type, sK42: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_113, type, sK43: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_114, type, sK44: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_115, type, sK45: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_116, type, sK46: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_117, type, sK47: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_118, type, sK48: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_119, type, sK49: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_120, type, sK50: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_121, type, sK51: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_122, type, sK52: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_123, type, sK53: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_124, type, sK54: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_125, type, sK55: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_126, type, sK56: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_127, type, sK57: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_128, type, sK58: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_129, type, sK59: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 0.94/0.49 thf(func_def_130, type, sK60: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 0.94/0.49 thf(func_def_131, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.94/0.49 thf(func_def_132, type, sK62: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_133, type, sK63: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_134, type, sK64: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_135, type, sK65: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_136, type, sK66: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_137, type, sK67: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_138, type, sK68: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_139, type, sK69: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_140, type, sK70: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_141, type, sK71: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_142, type, sK72: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_143, type, sK73: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_144, type, sK74: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_145, type, sK75: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_146, type, sK76: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_147, type, sK77: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_148, type, sK78: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_149, type, sK79: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_150, type, sK80: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_151, type, sK81: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_152, type, sK82: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_153, type, sK83: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_154, type, sK84: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_155, type, sK85: !>[X0: $tType]:((tree @ X0 > X0))).
% 0.94/0.49 thf(func_def_156, type, sK86: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(func_def_157, type, sK87: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 0.94/0.49 thf(f1,axiom,(
% 0.94/0.49 ! [X0 : $tType] : (heapIm721255937_empty @ X0 = (^[X4 : tree @ X0] : ((X4 = e @ X0))))),
% 0.94/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_hs__is__empty__def)).
% 0.94/0.49 thf(f269,conjecture,(
% 0.94/0.49 (heapIm721255937_empty @ b @ e @ b)),
% 0.94/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.94/0.49 thf(f270,negated_conjecture,(
% 0.94/0.49 ~(heapIm721255937_empty @ b @ e @ b)),
% 0.94/0.49 inference(negated_conjecture,[status(cth)],[f269])).
% 0.94/0.49 thf(f315,plain,(
% 0.94/0.49 ! [X0 : $tType] : (heapIm721255937_empty @ X0 = (^[X1 : tree @ X0] : ((e @ X0 = X1))))),
% 0.94/0.49 inference(rectify,[],[f1])).
% 0.94/0.49 thf(f316,plain,(
% 0.94/0.49 ! [X0 : $tType] : (heapIm721255937_empty @ X0 = (^[Y0 : tree @ X0]: (e @ X0 = Y0)))),
% 0.94/0.49 inference(fool_elimination,[],[f315])).
% 0.94/0.49 thf(f319,plain,(
% 0.94/0.49 ~(heapIm721255937_empty @ b @ e @ b)),
% 0.94/0.49 inference(rectify,[],[f270])).
% 0.94/0.49 thf(f320,plain,(
% 0.94/0.49 ~ (((heapIm721255937_empty @ b @ e @ b)) = $true)),
% 0.94/0.49 inference(fool_elimination,[],[f319])).
% 0.94/0.49 thf(f696,plain,(
% 0.94/0.49 (((heapIm721255937_empty @ b @ e @ b)) != $true)),
% 0.94/0.49 inference(flattening,[],[f320])).
% 0.94/0.49 thf(f767,plain,(
% 0.94/0.49 ( ! [X0 : $tType] : ((heapIm721255937_empty @ X0 = (^[Y0 : tree @ X0]: (e @ X0 = Y0)))) )),
% 0.94/0.49 inference(cnf_transformation,[],[f316])).
% 0.94/0.49 thf(f769,plain,(
% 0.94/0.49 (((heapIm721255937_empty @ b @ e @ b)) != $true)),
% 0.94/0.49 inference(cnf_transformation,[],[f696])).
% 0.94/0.49 thf(f774,plain,(
% 0.94/0.49 ($true != (((^[Y0 : tree @ b]: (e @ b = Y0)) @ e @ b)))),
% 0.94/0.49 inference(definition_unfolding,[],[f769,f767])).
% 0.94/0.49 thf(f775,plain,(
% 0.94/0.49 ($true != ((e @ b = e @ b)))),
% 0.94/0.49 inference(beta-eta_normalization,[],[f774])).
% 0.94/0.49 thf(f776,plain,(
% 0.94/0.49 (e @ b != e @ b)),
% 0.94/0.49 inference(equality_proxy_clausification,[],[f775])).
% 0.94/0.49 thf(f777,plain,(
% 0.94/0.49 $false),
% 0.94/0.49 inference(trivial_inequality_removal,[],[f776])).
% 0.94/0.49 % SZS output end Proof for theBenchmark
% 0.94/0.49 % (1218549)------------------------------
% 0.94/0.49 % (1218549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (1218549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (1218549)CaDiCaL version: 2.1.3
% 0.94/0.49 % (1218549)Termination reason: Refutation
% 0.94/0.49 % (1218549)Time elapsed: 0.039 s
% 0.94/0.49 % (1218549)Peak memory usage: 13 MB
% 0.94/0.49 % (1218549)Instructions burned: 82 (million)
% 0.94/0.49 % (1218514)Success in time 0.171 s
% 0.94/0.49 % Vampire exiting
%------------------------------------------------------------------------------