%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM167^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:23 AM UTC 2026
% Result : Theorem 1.49s 0.61s
% Output : Refutation 1.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM167^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n018.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 17:50:12 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.28 Running higher-order theorem proving
% 0.26/0.38 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
% 0.76/0.57 % (414471)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.57 % (414483)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.57 % (414483)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
% 0.76/0.57 % (414483)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=8873799:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.57 % (414477)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2521603454:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.57 % (414478)lrs+10_16_si=on:nwc=1.5:random_seed=517171641:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.57 % (414479)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1959910218:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.57 % (414481)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2293794921:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.57 % (414482)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2142088568:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.57 % (414480)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=2402845805: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)
% 0.76/0.57 % (414479)Instruction limit reached!
% 0.76/0.57 % (414479)------------------------------
% 0.76/0.57 % (414479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.57 % (414479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.57 % (414479)CaDiCaL version: 2.1.3
% 0.76/0.57 % (414479)Termination reason: Instruction limit
% 0.76/0.57 % (414479)Termination phase: shuffling
% 0.76/0.57 % (414479)Time elapsed: 0.004 s
% 0.76/0.57 % (414479)Peak memory usage: 10 MB
% 0.76/0.57 % (414479)Instructions burned: 4 (million)
% 0.76/0.57 % (414478)Instruction limit reached!
% 0.76/0.57 % (414478)------------------------------
% 0.76/0.57 % (414478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.57 % (414478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.57 % (414478)CaDiCaL version: 2.1.3
% 0.76/0.57 % (414478)Termination reason: Instruction limit
% 0.76/0.57 % (414478)Termination phase: shuffling
% 0.76/0.57 % (414478)Time elapsed: 0.016 s
% 0.76/0.57 % (414478)Peak memory usage: 10 MB
% 0.76/0.57 % (414478)Instructions burned: 18 (million)
% 0.76/0.57 % (414481)Instruction limit reached!
% 0.76/0.57 % (414481)------------------------------
% 0.76/0.57 % (414481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.57 % (414481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.57 % (414481)CaDiCaL version: 2.1.3
% 0.76/0.57 % (414481)Termination reason: Instruction limit
% 0.76/0.57 % (414481)Termination phase: Property scanning
% 0.76/0.57 % (414481)Time elapsed: 0.021 s
% 0.76/0.57 % (414481)Peak memory usage: 10 MB
% 0.76/0.57 % (414481)Instructions burned: 24 (million)
% 0.76/0.57 % (414491)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2574815438:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.57 % (414491)Instruction limit reached!
% 0.76/0.57 % (414491)------------------------------
% 0.76/0.57 % (414491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.57 % (414491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.57 % (414491)CaDiCaL version: 2.1.3
% 0.76/0.57 % (414491)Termination reason: Instruction limit
% 0.76/0.57 % (414491)Termination phase: shuffling
% 0.76/0.57 % (414491)Time elapsed: 0.001 s
% 0.76/0.57 % (414491)Peak memory usage: 10 MB
% 0.76/0.57 % (414491)Instructions burned: 2 (million)
% 0.76/0.57 % (414495)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=444867102:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.57 % (414493)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.49/0.61 % (414495)Instruction limit reached!
% 1.49/0.61 % (414495)------------------------------
% 1.49/0.61 % (414495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414495)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414495)Termination reason: Instruction limit
% 1.49/0.61 % (414495)Termination phase: shuffling
% 1.49/0.61 % (414495)Time elapsed: 0.007 s
% 1.49/0.61 % (414495)Peak memory usage: 10 MB
% 1.49/0.61 % (414495)Instructions burned: 14 (million)
% 1.49/0.61 % (414492)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1314076967:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.49/0.61 % (414493)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4046395203:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.49/0.61 % (414492)Instruction limit reached!
% 1.49/0.61 % (414492)------------------------------
% 1.49/0.61 % (414492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414492)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414492)Termination reason: Instruction limit
% 1.49/0.61 % (414492)Termination phase: shuffling
% 1.49/0.61 % (414492)Time elapsed: 0.005 s
% 1.49/0.61 % (414492)Peak memory usage: 10 MB
% 1.49/0.61 % (414492)Instructions burned: 5 (million)
% 1.49/0.61 % (414493)Instruction limit reached!
% 1.49/0.61 % (414493)------------------------------
% 1.49/0.61 % (414493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414493)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414493)Termination reason: Instruction limit
% 1.49/0.61 % (414493)Termination phase: shuffling
% 1.49/0.61 % (414493)Time elapsed: 0.009 s
% 1.49/0.61 % (414493)Peak memory usage: 10 MB
% 1.49/0.61 % (414493)Instructions burned: 9 (million)
% 1.49/0.61 % (414482)Instruction limit reached!
% 1.49/0.61 % (414482)------------------------------
% 1.49/0.61 % (414482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414482)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414482)Termination reason: Instruction limit
% 1.49/0.61 % (414482)Termination phase: Property scanning
% 1.49/0.61 % (414482)Time elapsed: 0.067 s
% 1.49/0.61 % (414482)Peak memory usage: 12 MB
% 1.49/0.61 % (414482)Instructions burned: 77 (million)
% 1.49/0.61 % (414499)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
% 1.49/0.61 % (414499)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.49/0.61 % (414477)Instruction limit reached!
% 1.49/0.61 % (414477)------------------------------
% 1.49/0.61 % (414477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414477)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414477)Termination reason: Instruction limit
% 1.49/0.61 % (414477)Termination phase: Property scanning
% 1.49/0.61 % (414477)Time elapsed: 0.075 s
% 1.49/0.61 % (414477)Peak memory usage: 12 MB
% 1.49/0.61 % (414477)Instructions burned: 87 (million)
% 1.49/0.61 % (414499)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2839519211:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.49/0.61 % (414500)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=1669257254:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.49/0.61 % (414499)Instruction limit reached!
% 1.49/0.61 % (414499)------------------------------
% 1.49/0.61 % (414499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414499)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414499)Termination reason: Instruction limit
% 1.49/0.61 % (414499)Termination phase: shuffling
% 1.49/0.61 % (414499)Time elapsed: 0.014 s
% 1.49/0.61 % (414499)Peak memory usage: 10 MB
% 1.49/0.61 % (414499)Instructions burned: 28 (million)
% 1.49/0.61 % (414502)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.49/0.61 % (414501)lrs+10_1_si=on:cs=on:random_seed=846348247:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.49/0.61 % (414502)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=772893316:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.49/0.61 % (414502)Instruction limit reached!
% 1.49/0.61 % (414502)------------------------------
% 1.49/0.61 % (414502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414502)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414502)Termination reason: Instruction limit
% 1.49/0.61 % (414502)Termination phase: shuffling
% 1.49/0.61 % (414502)Time elapsed: 0.002 s
% 1.49/0.61 % (414502)Peak memory usage: 10 MB
% 1.49/0.61 % (414502)Instructions burned: 2 (million)
% 1.49/0.61 % (414501)Instruction limit reached!
% 1.49/0.61 % (414501)------------------------------
% 1.49/0.61 % (414501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414501)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414501)Termination reason: Instruction limit
% 1.49/0.61 % (414501)Termination phase: shuffling
% 1.49/0.61 % (414501)Time elapsed: 0.008 s
% 1.49/0.61 % (414501)Peak memory usage: 10 MB
% 1.49/0.61 % (414501)Instructions burned: 8 (million)
% 1.49/0.61 % (414504)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=315483359:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.49/0.61 % (414506)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1827854425:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.49/0.61 % (414500)Instruction limit reached!
% 1.49/0.61 % (414500)------------------------------
% 1.49/0.61 % (414500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414500)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414500)Termination reason: Instruction limit
% 1.49/0.61 % (414500)Termination phase: Property scanning
% 1.49/0.61 % (414500)Time elapsed: 0.038 s
% 1.49/0.61 % (414500)Peak memory usage: 11 MB
% 1.49/0.61 % (414500)Instructions burned: 92 (million)
% 1.49/0.61 % (414483)Instruction limit reached!
% 1.49/0.61 % (414483)------------------------------
% 1.49/0.61 % (414483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414483)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414483)Termination reason: Instruction limit
% 1.49/0.61 % (414483)Termination phase: Saturation
% 1.49/0.61 % (414483)Time elapsed: 0.137 s
% 1.49/0.61 % (414483)Peak memory usage: 13 MB
% 1.49/0.61 % (414483)Instructions burned: 157 (million)
% 1.49/0.61 % (414513)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=12086606:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.49/0.61 % (414510)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=625210597:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.49/0.61 % (414509)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4086788712:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.49/0.61 % (414504)Instruction limit reached!
% 1.49/0.61 % (414504)------------------------------
% 1.49/0.61 % (414504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414504)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414504)Termination reason: Instruction limit
% 1.49/0.61 % (414504)Termination phase: Preprocessing 3
% 1.49/0.61 % (414504)Time elapsed: 0.033 s
% 1.49/0.61 % (414504)Peak memory usage: 11 MB
% 1.49/0.61 % (414504)Instructions burned: 38 (million)
% 1.49/0.61 % (414510)Instruction limit reached!
% 1.49/0.61 % (414510)------------------------------
% 1.49/0.61 % (414510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414510)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414510)Termination reason: Instruction limit
% 1.49/0.61 % (414510)Termination phase: shuffling
% 1.49/0.61 % (414510)Time elapsed: 0.013 s
% 1.49/0.61 % (414510)Peak memory usage: 10 MB
% 1.49/0.61 % (414510)Instructions burned: 14 (million)
% 1.49/0.61 % (414509)Instruction limit reached!
% 1.49/0.61 % (414509)------------------------------
% 1.49/0.61 % (414509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414509)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414509)Termination reason: Instruction limit
% 1.49/0.61 % (414509)Termination phase: Property scanning
% 1.49/0.61 % (414509)Time elapsed: 0.023 s
% 1.49/0.61 % (414509)Peak memory usage: 10 MB
% 1.49/0.61 % (414509)Instructions burned: 25 (million)
% 1.49/0.61 % (414514)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3589979453:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.49/0.61 % (414480) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-414471-414480"...
% 1.49/0.61 % (414506) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-414471-414506"...
% 1.49/0.61 % (414506)...printing done.
% 1.49/0.61 % (414480)...printing done.
% 1.49/0.61 % (414519)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4136785575:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.49/0.61 % (414506)Refutation found. Thanks to Tanya!
% 1.49/0.61 % SZS status Theorem for theBenchmark
% 1.49/0.61 % SZS output start Proof for theBenchmark
% 1.49/0.61 thf(type_def_5, type, binDag_Mirabelle_dag: $tType).
% 1.49/0.61 thf(type_def_6, type, simpl_ref: $tType).
% 1.49/0.61 thf(type_def_7, type, set: $tType > $tType).
% 1.49/0.61 thf(type_def_8, type, itself: $tType > $tType).
% 1.49/0.61 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.49/0.61 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_2, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_3, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_5, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_6, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_7, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_8, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_9, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_10, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_11, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_12, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_13, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_14, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_15, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_16, type, bounded_lattice_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_17, type, bounde1808546759up_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_18, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.49/0.61 thf(func_def_19, type, binDag_Mirabelle_DAG: (binDag_Mirabelle_dag > $o)).
% 1.49/0.61 thf(func_def_20, type, binDag_Mirabelle_Dag: (simpl_ref > (simpl_ref > simpl_ref) > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag > $o)).
% 1.49/0.61 thf(func_def_21, type, binDag476092410e_Node: (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 1.49/0.61 thf(func_def_22, type, binDag_Mirabelle_Tip: binDag_Mirabelle_dag).
% 1.49/0.61 thf(func_def_23, type, binDag1297733282se_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0) > binDag_Mirabelle_dag > X0))).
% 1.49/0.61 thf(func_def_24, type, binDag1442713106ec_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0 > X0 > X0) > binDag_Mirabelle_dag > X0))).
% 1.49/0.61 thf(func_def_25, type, binDag1380252983set_of: (binDag_Mirabelle_dag > set @ simpl_ref)).
% 1.49/0.61 thf(func_def_26, type, binDag786255756subdag: (binDag_Mirabelle_dag > binDag_Mirabelle_dag > $o)).
% 1.49/0.61 thf(func_def_27, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 1.49/0.61 thf(func_def_28, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 1.49/0.61 thf(func_def_29, type, comm_monoid: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 1.49/0.61 thf(func_def_30, type, monoid: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 1.49/0.61 thf(func_def_31, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.49/0.61 thf(func_def_32, type, semilattice_neutr: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 1.49/0.61 thf(func_def_33, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.49/0.61 thf(func_def_34, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.49/0.61 thf(func_def_35, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.49/0.61 thf(func_def_36, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.49/0.61 thf(func_def_37, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.49/0.61 thf(func_def_38, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 1.49/0.61 thf(func_def_39, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.49/0.61 thf(func_def_40, type, pow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 1.49/0.61 thf(func_def_41, type, bind: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ X1))).
% 1.49/0.61 thf(func_def_42, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.49/0.61 thf(func_def_43, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 1.49/0.61 thf(func_def_44, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 1.49/0.61 thf(func_def_45, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 1.49/0.61 thf(func_def_46, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 1.49/0.61 thf(func_def_47, type, simpl_Null: simpl_ref).
% 1.49/0.61 thf(func_def_48, type, pred_chain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 1.49/0.61 thf(func_def_49, type, pred_maxchain: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > set @ X0 > $o))).
% 1.49/0.61 thf(func_def_50, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.49/0.61 thf(func_def_51, type, l: (simpl_ref > simpl_ref)).
% 1.49/0.61 thf(func_def_52, type, p: simpl_ref).
% 1.49/0.61 thf(func_def_53, type, r: (simpl_ref > simpl_ref)).
% 1.49/0.61 thf(func_def_54, type, t: binDag_Mirabelle_dag).
% 1.49/0.61 thf(func_def_58, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.49/0.61 thf(func_def_59, type, vNOT: ($o > $o)).
% 1.49/0.61 thf(func_def_60, type, vOR: ($o > $o > $o)).
% 1.49/0.61 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 1.49/0.61 thf(func_def_62, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.49/0.61 thf(func_def_63, type, vAND: ($o > $o > $o)).
% 1.49/0.61 thf(func_def_64, type, db1: !>[X0: $tType]:(X0)).
% 1.49/0.61 thf(func_def_65, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.49/0.61 thf(func_def_66, type, db2: !>[X0: $tType]:(X0)).
% 1.49/0.61 thf(func_def_67, type, db3: !>[X0: $tType]:(X0)).
% 1.49/0.61 thf(func_def_68, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.49/0.61 thf(func_def_69, type, vIMP: ($o > $o > $o)).
% 1.49/0.61 thf(func_def_70, type, sK0: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.49/0.61 thf(func_def_71, type, sK1: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.49/0.61 thf(func_def_72, type, sK2: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.49/0.61 thf(func_def_73, type, sK3: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.49/0.61 thf(func_def_74, type, sK4: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.49/0.61 thf(func_def_75, type, sK5: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 1.49/0.61 thf(func_def_76, type, sK6: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 1.49/0.61 thf(func_def_77, type, sK7: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 1.49/0.61 thf(func_def_78, type, sK8: ((binDag_Mirabelle_dag > $o) > simpl_ref)).
% 1.49/0.61 thf(func_def_79, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.49/0.61 thf(func_def_80, type, sK10: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 1.49/0.61 thf(func_def_81, type, sK11: (binDag_Mirabelle_dag > simpl_ref)).
% 1.49/0.61 thf(func_def_82, type, sK12: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 1.49/0.61 thf(f1,axiom,(
% 1.49/0.61 ! [X4 : binDag_Mirabelle_dag,X2 : (simpl_ref > simpl_ref),X3 : (simpl_ref > simpl_ref)] : (((binDag_Mirabelle_Dag @ simpl_Null @ X2 @ X3 @ X4)) = (X4 = binDag_Mirabelle_Tip))),
% 1.49/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Dag__Null)).
% 1.49/0.61 thf(f3,axiom,(
% 1.49/0.61 ! [X3 : binDag_Mirabelle_dag,X2 : (simpl_ref > simpl_ref),X1 : (simpl_ref > simpl_ref),X0 : simpl_ref] : ((X0 != simpl_Null) => ~(binDag_Mirabelle_Dag @ X0 @ (fun_upd @ simpl_ref @ simpl_ref @ X1 @ X0 @ X0) @ X2 @ X3))),
% 1.49/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Dag__upd__same__l__lemma)).
% 1.49/0.61 thf(f294,conjecture,(
% 1.49/0.61 ((t = binDag_Mirabelle_Tip) & (p = simpl_Null) = ((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)))),
% 1.49/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.49/0.61 thf(f295,negated_conjecture,(
% 1.49/0.61 ~ ((t = binDag_Mirabelle_Tip) & (p = simpl_Null) = ((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)))),
% 1.49/0.61 inference(negated_conjecture,[status(cth)],[f294])).
% 1.49/0.61 thf(f442,plain,(
% 1.49/0.61 ! [X0 : binDag_Mirabelle_dag,X1 : (simpl_ref > simpl_ref),X2 : (simpl_ref > simpl_ref)] : (((binDag_Mirabelle_Dag @ simpl_Null @ X1 @ X2 @ X0)) = (binDag_Mirabelle_Tip = X0))),
% 1.49/0.61 inference(rectify,[],[f1])).
% 1.49/0.61 thf(f443,plain,(
% 1.49/0.61 ! [X2 : (simpl_ref > simpl_ref),X0 : binDag_Mirabelle_dag,X1 : (simpl_ref > simpl_ref)] : (((binDag_Mirabelle_Tip = X0)) = ((binDag_Mirabelle_Dag @ simpl_Null @ X1 @ X2 @ X0)))),
% 1.49/0.61 inference(fool_elimination,[],[f442])).
% 1.49/0.61 thf(f466,plain,(
% 1.49/0.61 ! [X0 : binDag_Mirabelle_dag,X1 : (simpl_ref > simpl_ref),X2 : (simpl_ref > simpl_ref),X3 : simpl_ref] : ((simpl_Null != X3) => ~(binDag_Mirabelle_Dag @ X3 @ (fun_upd @ simpl_ref @ simpl_ref @ X2 @ X3 @ X3) @ X1 @ X0))),
% 1.49/0.61 inference(rectify,[],[f3])).
% 1.49/0.61 thf(f467,plain,(
% 1.49/0.61 ! [X0 : binDag_Mirabelle_dag,X1 : (simpl_ref > simpl_ref),X2 : (simpl_ref > simpl_ref),X3 : simpl_ref] : ((simpl_Null != X3) => ~ ($true = ((binDag_Mirabelle_Dag @ X3 @ (fun_upd @ simpl_ref @ simpl_ref @ X2 @ X3 @ X3) @ X1 @ X0))))),
% 1.49/0.61 inference(fool_elimination,[],[f466])).
% 1.49/0.61 thf(f503,plain,(
% 1.49/0.61 ~ (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = (((simpl_Null = p) & (binDag_Mirabelle_Tip = t))))),
% 1.49/0.61 inference(fool_elimination,[],[f295])).
% 1.49/0.61 thf(f797,plain,(
% 1.49/0.61 (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) != (((simpl_Null = p) & (binDag_Mirabelle_Tip = t))))),
% 1.49/0.61 inference(flattening,[],[f503])).
% 1.49/0.61 thf(f800,plain,(
% 1.49/0.61 ! [X3 : simpl_ref,X2 : (simpl_ref > simpl_ref),X0 : binDag_Mirabelle_dag,X1 : (simpl_ref > simpl_ref)] : ((simpl_Null != X3) => ($true != ((binDag_Mirabelle_Dag @ X3 @ (fun_upd @ simpl_ref @ simpl_ref @ X2 @ X3 @ X3) @ X1 @ X0))))),
% 1.49/0.61 inference(flattening,[],[f467])).
% 1.49/0.61 thf(f834,plain,(
% 1.49/0.61 ! [X1 : (simpl_ref > simpl_ref),X3 : simpl_ref,X2 : (simpl_ref > simpl_ref),X0 : binDag_Mirabelle_dag] : ((simpl_Null = X3) | ($true != ((binDag_Mirabelle_Dag @ X3 @ (fun_upd @ simpl_ref @ simpl_ref @ X2 @ X3 @ X3) @ X1 @ X0))))),
% 1.49/0.61 inference(ennf_transformation,[],[f800])).
% 1.49/0.61 thf(f866,plain,(
% 1.49/0.61 ! [X0 : (simpl_ref > simpl_ref),X1 : simpl_ref,X2 : (simpl_ref > simpl_ref),X3 : binDag_Mirabelle_dag] : ((simpl_Null = X1) | ($true != ((binDag_Mirabelle_Dag @ X1 @ (fun_upd @ simpl_ref @ simpl_ref @ X2 @ X1 @ X1) @ X0 @ X3))))),
% 1.49/0.61 inference(rectify,[],[f834])).
% 1.49/0.61 thf(f870,plain,(
% 1.49/0.61 ! [X0 : (simpl_ref > simpl_ref),X1 : binDag_Mirabelle_dag,X2 : (simpl_ref > simpl_ref)] : (((binDag_Mirabelle_Tip = X1)) = ((binDag_Mirabelle_Dag @ simpl_Null @ X2 @ X0 @ X1)))),
% 1.49/0.61 inference(rectify,[],[f443])).
% 1.49/0.61 thf(f888,plain,(
% 1.49/0.61 (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) != (((simpl_Null = p) & (binDag_Mirabelle_Tip = t))))),
% 1.49/0.61 inference(cnf_transformation,[],[f797])).
% 1.49/0.61 thf(f915,plain,(
% 1.49/0.61 ( ! [X2 : (simpl_ref > simpl_ref),X3 : binDag_Mirabelle_dag,X0 : (simpl_ref > simpl_ref),X1 : simpl_ref] : (($true != ((binDag_Mirabelle_Dag @ X1 @ (fun_upd @ simpl_ref @ simpl_ref @ X2 @ X1 @ X1) @ X0 @ X3))) | (simpl_Null = X1)) )),
% 1.49/0.61 inference(cnf_transformation,[],[f866])).
% 1.49/0.61 thf(f918,plain,(
% 1.49/0.61 ( ! [X2 : (simpl_ref > simpl_ref),X0 : (simpl_ref > simpl_ref),X1 : binDag_Mirabelle_dag] : ((((binDag_Mirabelle_Tip = X1)) = ((binDag_Mirabelle_Dag @ simpl_Null @ X2 @ X0 @ X1)))) )),
% 1.49/0.61 inference(cnf_transformation,[],[f870])).
% 1.49/0.61 thf(f931,plain,(
% 1.49/0.61 (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $true) | ($true = (((simpl_Null = p) & (binDag_Mirabelle_Tip = t))))),
% 1.49/0.61 inference(xor_proxy_clausification,[],[f888])).
% 1.49/0.61 thf(f932,plain,(
% 1.49/0.61 ($false = (((simpl_Null = p) & (binDag_Mirabelle_Tip = t)))) | (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $false)),
% 1.49/0.61 inference(xor_proxy_clausification,[],[f888])).
% 1.49/0.61 thf(f933,plain,(
% 1.49/0.61 ($false = ((binDag_Mirabelle_Tip = t))) | (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $false) | ($false = ((simpl_Null = p)))),
% 1.49/0.61 inference(and_proxy_clausification,[],[f932])).
% 1.49/0.61 thf(f934,plain,(
% 1.49/0.61 ($false = ((simpl_Null = p))) | (binDag_Mirabelle_Tip != t) | (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $false)),
% 1.49/0.61 inference(equality_proxy_clausification,[],[f933])).
% 1.49/0.61 thf(f935,plain,(
% 1.49/0.61 (simpl_Null != p) | (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $false) | (binDag_Mirabelle_Tip != t)),
% 1.49/0.61 inference(equality_proxy_clausification,[],[f934])).
% 1.49/0.61 thf(f936,plain,(
% 1.49/0.61 ($true = ((binDag_Mirabelle_Tip = t))) | (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $true)),
% 1.49/0.61 inference(and_proxy_clausification,[],[f931])).
% 1.49/0.61 thf(f937,plain,(
% 1.49/0.61 (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $true) | ($true = ((simpl_Null = p)))),
% 1.49/0.61 inference(and_proxy_clausification,[],[f931])).
% 1.49/0.61 thf(f938,plain,(
% 1.49/0.61 (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $true) | (simpl_Null = p)),
% 1.49/0.61 inference(equality_proxy_clausification,[],[f937])).
% 1.49/0.61 thf(f939,plain,(
% 1.49/0.61 (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $true) | (binDag_Mirabelle_Tip = t)),
% 1.49/0.61 inference(equality_proxy_clausification,[],[f936])).
% 1.49/0.61 thf(f941,definition,(
% 1.49/0.61 spl13_1 <=> (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $false)),
% 1.49/0.61 introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition])).
% 1.49/0.61 thf(f943,plain,(
% 1.49/0.61 (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $false) | ~spl13_1),
% 1.49/0.61 inference(avatar_component_clause,[],[f941])).
% 1.49/0.61 thf(f945,definition,(
% 1.49/0.61 spl13_2 <=> (binDag_Mirabelle_Tip = t)),
% 1.49/0.61 introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition])).
% 1.49/0.61 thf(f946,plain,(
% 1.49/0.61 (binDag_Mirabelle_Tip = t) | ~spl13_2),
% 1.49/0.61 inference(avatar_component_clause,[],[f945])).
% 1.49/0.61 thf(f949,definition,(
% 1.49/0.61 spl13_3 <=> (simpl_Null = p)),
% 1.49/0.61 introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition])).
% 1.49/0.61 thf(f950,plain,(
% 1.49/0.61 (simpl_Null = p) | ~spl13_3),
% 1.49/0.61 inference(avatar_component_clause,[],[f949])).
% 1.49/0.61 thf(f952,plain,(
% 1.49/0.61 spl13_1 | ~spl13_2 | ~spl13_3),
% 1.49/0.61 inference(avatar_split_clause,[],[f935,f949,f945,f941])).
% 1.49/0.61 thf(f953,plain,(
% 1.49/0.61 (simpl_Null = p)),
% 1.49/0.61 inference(forward_subsumption_resolution,[],[f938,f915])).
% 1.49/0.61 thf(f955,definition,(
% 1.49/0.61 spl13_4 <=> (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $true)),
% 1.49/0.61 introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition])).
% 1.49/0.61 thf(f957,plain,(
% 1.49/0.61 (((binDag_Mirabelle_Dag @ p @ (fun_upd @ simpl_ref @ simpl_ref @ l @ p @ p) @ r @ t)) = $true) | ~spl13_4),
% 1.49/0.61 inference(avatar_component_clause,[],[f955])).
% 1.49/0.61 thf(f958,plain,(
% 1.49/0.61 spl13_4 | spl13_2),
% 1.49/0.61 inference(avatar_split_clause,[],[f939,f945,f955])).
% 1.49/0.61 thf(f959,plain,(
% 1.49/0.61 spl13_3),
% 1.49/0.61 inference(avatar_split_clause,[],[f953,f949])).
% 1.49/0.61 thf(f960,plain,(
% 1.49/0.61 ($true = ((binDag_Mirabelle_Dag @ simpl_Null @ (fun_upd @ simpl_ref @ simpl_ref @ l @ simpl_Null @ simpl_Null) @ r @ t))) | (~spl13_3 | ~spl13_4)),
% 1.49/0.61 inference(superposition,[],[f957,f950])).
% 1.49/0.61 thf(f970,plain,(
% 1.49/0.61 ($true = ((binDag_Mirabelle_Tip = t))) | (~spl13_3 | ~spl13_4)),
% 1.49/0.61 inference(forward_demodulation,[],[f960,f918])).
% 1.49/0.61 thf(f971,plain,(
% 1.49/0.61 (binDag_Mirabelle_Tip = t) | (~spl13_3 | ~spl13_4)),
% 1.49/0.61 inference(equality_proxy_clausification,[],[f970])).
% 1.49/0.61 thf(f989,plain,(
% 1.49/0.61 spl13_2 | ~spl13_3 | ~spl13_4),
% 1.49/0.61 inference(avatar_split_clause,[],[f971,f955,f949,f945])).
% 1.49/0.61 thf(f991,plain,(
% 1.49/0.61 ($false = ((binDag_Mirabelle_Dag @ simpl_Null @ (fun_upd @ simpl_ref @ simpl_ref @ l @ simpl_Null @ simpl_Null) @ r @ t))) | (~spl13_1 | ~spl13_3)),
% 1.49/0.61 inference(forward_demodulation,[],[f943,f950])).
% 1.49/0.61 thf(f993,plain,(
% 1.49/0.61 ($false = ((binDag_Mirabelle_Tip = t))) | (~spl13_1 | ~spl13_3)),
% 1.49/0.61 inference(forward_demodulation,[],[f991,f918])).
% 1.49/0.61 thf(f994,plain,(
% 1.49/0.61 (binDag_Mirabelle_Tip != t) | (~spl13_1 | ~spl13_3)),
% 1.49/0.61 inference(equality_proxy_clausification,[],[f993])).
% 1.49/0.61 thf(f995,plain,(
% 1.49/0.61 $false | (~spl13_1 | ~spl13_2 | ~spl13_3)),
% 1.49/0.61 inference(forward_subsumption_resolution,[],[f994,f946])).
% 1.49/0.61 thf(f996,plain,(
% 1.49/0.61 ~spl13_1 | ~spl13_2 | ~spl13_3),
% 1.49/0.61 inference(avatar_contradiction_clause,[],[f995])).
% 1.49/0.61 cnf(s1, plain, spl13_1 | ~spl13_2 | ~spl13_3, inference(sat_conversion,[],[f952])).
% 1.49/0.61 cnf(s2, plain, spl13_2 | spl13_4, inference(sat_conversion,[],[f958])).
% 1.49/0.61 cnf(s3, plain, spl13_3, inference(sat_conversion,[],[f959])).
% 1.49/0.61 cnf(s7, plain, spl13_2 | ~spl13_3 | ~spl13_4, inference(sat_conversion,[],[f989])).
% 1.49/0.61 cnf(s8, plain, ~spl13_1 | ~spl13_2 | ~spl13_3, inference(sat_conversion,[],[f996])).
% 1.49/0.61 cnf(s9, plain, spl13_1 | ~spl13_2, inference(rat,[],[s1,s3])).
% 1.49/0.61 cnf(s10, plain, spl13_2, inference(rat,[],[s2,s7,s3])).
% 1.49/0.61 cnf(s11, plain, ~spl13_1, inference(rat,[],[s8,s3,s10])).
% 1.49/0.61 cnf(s12, plain, $false, inference(rat,[],[s9,s10,s11])).
% 1.49/0.61 thf(f997,plain,(
% 1.49/0.61 $false),
% 1.49/0.61 inference(avatar_sat_refutation,[],[s12])).
% 1.49/0.61 % SZS output end Proof for theBenchmark
% 1.49/0.61 % (414506)------------------------------
% 1.49/0.61 % (414506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.61 % (414506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.61 % (414506)CaDiCaL version: 2.1.3
% 1.49/0.61 % (414506)Termination reason: Refutation
% 1.49/0.61 % (414506)Time elapsed: 0.058 s
% 1.49/0.61 % (414506)Peak memory usage: 13 MB
% 1.49/0.61 % (414506)Instructions burned: 61 (million)
% 1.49/0.61 % (414471)Success in time 0.222 s
% 1.49/0.61 % Vampire exiting
%------------------------------------------------------------------------------