%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET598^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:23:19 AM UTC 2026
% Result : Theorem 1.04s 0.42s
% Output : Refutation 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET598^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n019.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 13:38:48 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.22 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
% 0.25/0.36 % (775668)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.36 % (775677)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2737547404:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.25/0.36 % (775679)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.25/0.36 % (775679)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
% 0.25/0.36 % (775674)lrs+10_16_si=on:nwc=1.5:random_seed=1527736588:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.25/0.36 % (775675)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=990110599:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.25/0.36 % (775679)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=2247937976:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.25/0.36 % (775678)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=279443364:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.25/0.36 % (775677)Instruction limit reached!
% 0.25/0.36 % (775677)------------------------------
% 0.25/0.36 % (775677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (775677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (775677)CaDiCaL version: 2.1.3
% 0.25/0.36 % (775677)Termination reason: Instruction limit
% 0.25/0.36 % (775677)Termination phase: Saturation
% 0.25/0.36 % (775677)Time elapsed: 0.009 s
% 0.25/0.36 % (775677)Peak memory usage: 12 MB
% 0.25/0.36 % (775677)Instructions burned: 27 (million)
% 0.25/0.36 % (775675)Instruction limit reached!
% 0.25/0.36 % (775675)------------------------------
% 0.25/0.36 % (775675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (775675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (775675)CaDiCaL version: 2.1.3
% 0.25/0.36 % (775675)Termination reason: Instruction limit
% 0.25/0.36 % (775675)Termination phase: Saturation
% 0.25/0.36 % (775675)Time elapsed: 0.002 s
% 0.25/0.36 % (775675)Peak memory usage: 11 MB
% 0.25/0.36 % (775675)Instructions burned: 3 (million)
% 0.25/0.36 % (775673)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=488706709:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.25/0.36 % (775685)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2376843645:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.25/0.36 % (775676)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=518416467: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)
% 0.25/0.36 % (775674)Instruction limit reached!
% 0.25/0.36 % (775674)------------------------------
% 0.25/0.36 % (775674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (775674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (775674)CaDiCaL version: 2.1.3
% 0.25/0.36 % (775674)Termination reason: Instruction limit
% 0.25/0.36 % (775674)Termination phase: Saturation
% 0.25/0.36 % (775674)Time elapsed: 0.014 s
% 0.25/0.36 % (775674)Peak memory usage: 12 MB
% 0.25/0.36 % (775674)Instructions burned: 24 (million)
% 0.25/0.36 % (775685)Instruction limit reached!
% 0.25/0.36 % (775685)------------------------------
% 0.25/0.36 % (775685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (775685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (775685)CaDiCaL version: 2.1.3
% 0.25/0.36 % (775685)Termination reason: Instruction limit
% 0.25/0.36 % (775685)Termination phase: Saturation
% 0.25/0.36 % (775685)Time elapsed: 0.002 s
% 0.25/0.36 % (775685)Peak memory usage: 12 MB
% 0.25/0.36 % (775685)Instructions burned: 4 (million)
% 0.25/0.36 % (775690)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.25/0.36 % (775686)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1213451058:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.04/0.40 % (775690)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2027377621:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.04/0.40 % (775686)Instruction limit reached!
% 1.04/0.40 % (775686)------------------------------
% 1.04/0.40 % (775686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.40 % (775686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.40 % (775686)CaDiCaL version: 2.1.3
% 1.04/0.40 % (775686)Termination reason: Instruction limit
% 1.04/0.40 % (775686)Termination phase: Saturation
% 1.04/0.40 % (775686)Time elapsed: 0.003 s
% 1.04/0.40 % (775686)Peak memory usage: 12 MB
% 1.04/0.40 % (775686)Instructions burned: 5 (million)
% 1.04/0.40 % (775690)Instruction limit reached!
% 1.04/0.40 % (775690)------------------------------
% 1.04/0.40 % (775690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.40 % (775690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.40 % (775690)CaDiCaL version: 2.1.3
% 1.04/0.40 % (775690)Termination reason: Instruction limit
% 1.04/0.40 % (775690)Termination phase: Saturation
% 1.04/0.40 % (775690)Time elapsed: 0.003 s
% 1.04/0.40 % (775690)Peak memory usage: 12 MB
% 1.04/0.40 % (775690)Instructions burned: 11 (million)
% 1.04/0.40 % (775691)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2773190635:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.04/0.40 % (775694)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
% 1.04/0.40 % (775694)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.40 % (775694)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4239827097:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.04/0.40 % (775678)Instruction limit reached!
% 1.04/0.40 % (775678)------------------------------
% 1.04/0.40 % (775678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.40 % (775678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.40 % (775678)CaDiCaL version: 2.1.3
% 1.04/0.40 % (775678)Termination reason: Instruction limit
% 1.04/0.40 % (775678)Termination phase: Saturation
% 1.04/0.40 % (775678)Time elapsed: 0.041 s
% 1.04/0.40 % (775678)Peak memory usage: 13 MB
% 1.04/0.40 % (775678)Instructions burned: 75 (million)
% 1.04/0.40 % (775691)Instruction limit reached!
% 1.04/0.40 % (775691)------------------------------
% 1.04/0.40 % (775691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.40 % (775691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.40 % (775691)CaDiCaL version: 2.1.3
% 1.04/0.40 % (775691)Termination reason: Instruction limit
% 1.04/0.40 % (775691)Termination phase: Saturation
% 1.04/0.40 % (775691)Time elapsed: 0.008 s
% 1.04/0.40 % (775691)Peak memory usage: 12 MB
% 1.04/0.40 % (775691)Instructions burned: 13 (million)
% 1.04/0.40 % (775694)Instruction limit reached!
% 1.04/0.40 % (775694)------------------------------
% 1.04/0.40 % (775694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.40 % (775694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.40 % (775694)CaDiCaL version: 2.1.3
% 1.04/0.40 % (775694)Termination reason: Instruction limit
% 1.04/0.40 % (775694)Termination phase: Saturation
% 1.04/0.40 % (775694)Time elapsed: 0.007 s
% 1.04/0.40 % (775694)Peak memory usage: 12 MB
% 1.04/0.40 % (775694)Instructions burned: 32 (million)
% 1.04/0.40 % (775695)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=2134335140:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.04/0.40 % (775700)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=298399869:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.04/0.40 % (775673)Instruction limit reached!
% 1.04/0.40 % (775673)------------------------------
% 1.04/0.42 % (775673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775673)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775673)Termination reason: Instruction limit
% 1.04/0.42 % (775673)Termination phase: Saturation
% 1.04/0.42 % (775673)Time elapsed: 0.053 s
% 1.04/0.42 % (775673)Peak memory usage: 12 MB
% 1.04/0.42 % (775673)Instructions burned: 87 (million)
% 1.04/0.42 % (775699)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.04/0.42 % (775698)lrs+10_1_si=on:cs=on:random_seed=3802578344:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.04/0.42 % (775700)Refutation not found, incomplete strategy
% 1.04/0.42 % (775700)------------------------------
% 1.04/0.42 % (775700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775700)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775700)Termination reason: Refutation not found, incomplete strategy
% 1.04/0.42 % (775700)Time elapsed: 0.005 s
% 1.04/0.42 % (775700)Peak memory usage: 12 MB
% 1.04/0.42 % (775700)Instructions burned: 14 (million)
% 1.04/0.42 % (775699)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=384489393:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.04/0.42 % (775700)------------------------------
% 1.04/0.42 % (775700)------------------------------
% 1.04/0.42 % (775699)Instruction limit reached!
% 1.04/0.42 % (775699)------------------------------
% 1.04/0.42 % (775699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775699)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775699)Termination reason: Instruction limit
% 1.04/0.42 % (775699)Termination phase: Saturation
% 1.04/0.42 % (775699)Time elapsed: 0.002 s
% 1.04/0.42 % (775699)Peak memory usage: 12 MB
% 1.04/0.42 % (775699)Instructions burned: 3 (million)
% 1.04/0.42 % (775698)Instruction limit reached!
% 1.04/0.42 % (775698)------------------------------
% 1.04/0.42 % (775698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775698)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775698)Termination reason: Instruction limit
% 1.04/0.42 % (775698)Termination phase: Saturation
% 1.04/0.42 % (775698)Time elapsed: 0.005 s
% 1.04/0.42 % (775698)Peak memory usage: 12 MB
% 1.04/0.42 % (775698)Instructions burned: 8 (million)
% 1.04/0.42 % (775706)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=579076603:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.04/0.42 % (775703)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=486137452:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.04/0.42 % (775706)Instruction limit reached!
% 1.04/0.42 % (775706)------------------------------
% 1.04/0.42 % (775706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775706)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775706)Termination reason: Instruction limit
% 1.04/0.42 % (775706)Termination phase: Saturation
% 1.04/0.42 % (775706)Time elapsed: 0.009 s
% 1.04/0.42 % (775706)Peak memory usage: 12 MB
% 1.04/0.42 % (775706)Instructions burned: 26 (million)
% 1.04/0.42 % (775703)Refutation not found, incomplete strategy
% 1.04/0.42 % (775703)------------------------------
% 1.04/0.42 % (775703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775703)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775703)Termination reason: Refutation not found, incomplete strategy
% 1.04/0.42 % (775703)Time elapsed: 0.005 s
% 1.04/0.42 % (775703)Peak memory usage: 12 MB
% 1.04/0.42 % (775703)Instructions burned: 8 (million)
% 1.04/0.42 % (775707)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2267187440:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.42 % (775708)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3550872003:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.04/0.42 % (775703)------------------------------
% 1.04/0.42 % (775703)------------------------------
% 1.04/0.42 % (775711)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1956331287:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.42 % (775679)Instruction limit reached!
% 1.04/0.42 % (775679)------------------------------
% 1.04/0.42 % (775679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775679)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775679)Termination reason: Instruction limit
% 1.04/0.42 % (775679)Termination phase: Saturation
% 1.04/0.42 % (775679)Time elapsed: 0.096 s
% 1.04/0.42 % (775679)Peak memory usage: 12 MB
% 1.04/0.42 % (775679)Instructions burned: 165 (million)
% 1.04/0.42 % (775707)Instruction limit reached!
% 1.04/0.42 % (775707)------------------------------
% 1.04/0.42 % (775707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775707)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775707)Termination reason: Instruction limit
% 1.04/0.42 % (775707)Termination phase: Saturation
% 1.04/0.42 % (775707)Time elapsed: 0.011 s
% 1.04/0.42 % (775707)Peak memory usage: 12 MB
% 1.04/0.42 % (775707)Instructions burned: 18 (million)
% 1.04/0.42 % (775711)Instruction limit reached!
% 1.04/0.42 % (775711)------------------------------
% 1.04/0.42 % (775711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775711)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775711)Termination reason: Instruction limit
% 1.04/0.42 % (775711)Termination phase: Saturation
% 1.04/0.42 % (775711)Time elapsed: 0.007 s
% 1.04/0.42 % (775711)Peak memory usage: 12 MB
% 1.04/0.42 % (775711)Instructions burned: 20 (million)
% 1.04/0.42 % (775714)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1210182282: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)
% 1.04/0.42 % (775714)Instruction limit reached!
% 1.04/0.42 % (775714)------------------------------
% 1.04/0.42 % (775714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775714)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775714)Termination reason: Instruction limit
% 1.04/0.42 % (775714)Termination phase: Twee Goal Transformation
% 1.04/0.42 % (775714)Time elapsed: 0.002 s
% 1.04/0.42 % (775714)Peak memory usage: 10 MB
% 1.04/0.42 % (775714)Instructions burned: 3 (million)
% 1.04/0.42 % (775695)Instruction limit reached!
% 1.04/0.42 % (775695)------------------------------
% 1.04/0.42 % (775695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775695)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775695)Termination reason: Instruction limit
% 1.04/0.42 % (775695)Termination phase: Saturation
% 1.04/0.42 % (775695)Time elapsed: 0.064 s
% 1.04/0.42 % (775695)Peak memory usage: 12 MB
% 1.04/0.42 % (775695)Instructions burned: 86 (million)
% 1.04/0.42 % (775718)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3549089655:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.04/0.42 % (775716)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3875129371:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.04/0.42 % (775717)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2273671752:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.04/0.42 % (775720)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
% 1.04/0.42 % (775720)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.04/0.42 % (775720)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=773585240:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.42 % (775716)Instruction limit reached!
% 1.04/0.42 % (775716)------------------------------
% 1.04/0.42 % (775716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775716)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775716)Termination reason: Instruction limit
% 1.04/0.42 % (775716)Termination phase: Saturation
% 1.04/0.42 % (775716)Time elapsed: 0.015 s
% 1.04/0.42 % (775716)Peak memory usage: 12 MB
% 1.04/0.42 % (775716)Instructions burned: 28 (million)
% 1.04/0.42 % (775718)Instruction limit reached!
% 1.04/0.42 % (775718)------------------------------
% 1.04/0.42 % (775718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775718)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775718)Termination reason: Instruction limit
% 1.04/0.42 % (775718)Termination phase: Saturation
% 1.04/0.42 % (775718)Time elapsed: 0.019 s
% 1.04/0.42 % (775718)Peak memory usage: 12 MB
% 1.04/0.42 % (775718)Instructions burned: 63 (million)
% 1.04/0.42 % (775720)Instruction limit reached!
% 1.04/0.42 % (775720)------------------------------
% 1.04/0.42 % (775720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775720)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775720)Termination reason: Instruction limit
% 1.04/0.42 % (775720)Termination phase: Saturation
% 1.04/0.42 % (775720)Time elapsed: 0.009 s
% 1.04/0.42 % (775720)Peak memory usage: 12 MB
% 1.04/0.42 % (775720)Instructions burned: 15 (million)
% 1.04/0.42 % (775722)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.04/0.42 % (775708) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-775668-775708"...
% 1.04/0.42 % (775717)Instruction limit reached!
% 1.04/0.42 % (775717)------------------------------
% 1.04/0.42 % (775717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775717)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775717)Termination reason: Instruction limit
% 1.04/0.42 % (775717)Termination phase: Saturation
% 1.04/0.42 % (775717)Time elapsed: 0.023 s
% 1.04/0.42 % (775717)Peak memory usage: 11 MB
% 1.04/0.42 % (775717)Instructions burned: 24 (million)
% 1.04/0.42 % (775708)...printing done.
% 1.04/0.42 % (775708)Refutation found. Thanks to Tanya!
% 1.04/0.42 % SZS status Theorem for theBenchmark
% 1.04/0.42 % SZS output start Proof for theBenchmark
% 1.04/0.42 thf(type_def_5, type, a: $tType).
% 1.04/0.42 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 1.04/0.42 thf(func_def_3, type, vAND: ($o > $o > $o)).
% 1.04/0.42 thf(func_def_4, type, db0: !>[X0: $tType]:(X0)).
% 1.04/0.42 thf(func_def_5, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.04/0.42 thf(func_def_6, type, sP0: ((a > $o) > (a > $o) > (a > $o) > $o)).
% 1.04/0.42 thf(func_def_7, type, sK1: ((a > $o) > (a > $o) > (a > $o) > a > $o)).
% 1.04/0.42 thf(func_def_8, type, sK2: ((a > $o) > (a > $o) > (a > $o) > a)).
% 1.04/0.42 thf(func_def_9, type, sK3: ((a > $o) > (a > $o) > a)).
% 1.04/0.42 thf(func_def_10, type, sK4: ((a > $o) > (a > $o) > a)).
% 1.04/0.42 thf(func_def_11, type, sK5: (a > $o)).
% 1.04/0.42 thf(func_def_12, type, sK6: (a > $o)).
% 1.04/0.42 thf(func_def_13, type, sK7: (a > $o)).
% 1.04/0.42 thf(func_def_14, type, sK8: a).
% 1.04/0.42 thf(func_def_15, type, sK9: a).
% 1.04/0.42 thf(func_def_16, type, vNOT: ($o > $o)).
% 1.04/0.42 thf(func_def_18, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.04/0.42 thf(func_def_19, type, sK11: a).
% 1.04/0.42 thf(f1,conjecture,(
% 1.04/0.42 ! [X1 : (a > $o),X0 : (a > $o),X2 : (a > $o)] : ((! [X4 : (a > $o)] : ((! [X3 : a] : ((X4 @ X3) => (X2 @ X3)) & ! [X3 : a] : ((X4 @ X3) => (X1 @ X3))) => ! [X3 : a] : ((X4 @ X3) => (X0 @ X3))) & ! [X3 : a] : ((X0 @ X3) => (X1 @ X3)) & ! [X3 : a] : ((X0 @ X3) => (X2 @ X3))) <=> (X0 = (^[X3 : a] : ((X2 @ X3) & (X1 @ X3)))))),
% 1.04/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_57_pme)).
% 1.04/0.42 thf(f2,negated_conjecture,(
% 1.04/0.42 ~ ! [X1 : (a > $o),X0 : (a > $o),X2 : (a > $o)] : ((! [X4 : (a > $o)] : ((! [X3 : a] : ((X4 @ X3) => (X2 @ X3)) & ! [X3 : a] : ((X4 @ X3) => (X1 @ X3))) => ! [X3 : a] : ((X4 @ X3) => (X0 @ X3))) & ! [X3 : a] : ((X0 @ X3) => (X1 @ X3)) & ! [X3 : a] : ((X0 @ X3) => (X2 @ X3))) <=> (X0 = (^[X3 : a] : ((X2 @ X3) & (X1 @ X3)))))),
% 1.04/0.42 inference(negated_conjecture,[status(cth)],[f1])).
% 1.04/0.42 thf(f3,plain,(
% 1.04/0.42 ~ ! [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : ((! [X3 : (a > $o)] : ((! [X4 : a] : ((X3 @ X4) => (X2 @ X4)) & ! [X5 : a] : ((X3 @ X5) => (X0 @ X5))) => ! [X6 : a] : ((X3 @ X6) => (X1 @ X6))) & ! [X7 : a] : ((X1 @ X7) => (X0 @ X7)) & ! [X8 : a] : ((X1 @ X8) => (X2 @ X8))) <=> (X1 = (^[X9 : a] : ((X2 @ X9) & (X0 @ X9)))))),
% 1.04/0.42 inference(rectify,[],[f2])).
% 1.04/0.42 thf(f4,plain,(
% 1.04/0.42 ~ ! [X0 : (a > $o),X2 : (a > $o),X1 : (a > $o)] : (((^[Y0 : a]: ((X0 @ Y0) & (X2 @ Y0))) = X1) <=> (! [X8 : a] : (($true = ((X1 @ X8))) => ($true = ((X2 @ X8)))) & ! [X3 : (a > $o)] : ((! [X5 : a] : (($true = ((X3 @ X5))) => ($true = ((X0 @ X5)))) & ! [X4 : a] : (($true = ((X3 @ X4))) => ($true = ((X2 @ X4))))) => ! [X6 : a] : (($true = ((X3 @ X6))) => (((X1 @ X6)) = $true))) & ! [X7 : a] : ((((X1 @ X7)) = $true) => ($true = ((X0 @ X7))))))),
% 1.04/0.42 inference(fool_elimination,[],[f3])).
% 1.04/0.42 thf(f5,plain,(
% 1.04/0.42 ? [X0 : (a > $o),X2 : (a > $o),X1 : (a > $o)] : (((^[Y0 : a]: ((X0 @ Y0) & (X2 @ Y0))) = X1) <~> (! [X8 : a] : (($true = ((X2 @ X8))) | ($true != ((X1 @ X8)))) & ! [X3 : (a > $o)] : (! [X6 : a] : ((((X1 @ X6)) = $true) | ($true != ((X3 @ X6)))) | (? [X5 : a] : (($true != ((X0 @ X5))) & ($true = ((X3 @ X5)))) | ? [X4 : a] : (($true = ((X3 @ X4))) & ($true != ((X2 @ X4)))))) & ! [X7 : a] : (($true = ((X0 @ X7))) | (((X1 @ X7)) != $true))))),
% 1.04/0.42 inference(ennf_transformation,[],[f4])).
% 1.04/0.42 thf(f6,plain,(
% 1.04/0.42 ? [X1 : (a > $o),X2 : (a > $o),X0 : (a > $o)] : (((^[Y0 : a]: ((X0 @ Y0) & (X2 @ Y0))) = X1) <~> (! [X7 : a] : (($true = ((X0 @ X7))) | (((X1 @ X7)) != $true)) & ! [X8 : a] : (($true = ((X2 @ X8))) | ($true != ((X1 @ X8)))) & ! [X3 : (a > $o)] : (? [X5 : a] : (($true != ((X0 @ X5))) & ($true = ((X3 @ X5)))) | ! [X6 : a] : ((((X1 @ X6)) = $true) | ($true != ((X3 @ X6)))) | ? [X4 : a] : (($true = ((X3 @ X4))) & ($true != ((X2 @ X4)))))))),
% 1.04/0.42 inference(flattening,[],[f5])).
% 1.04/0.42 thf(f7,definition,(
% 1.04/0.42 ! [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : (($true = ((sP0 @ X2 @ X1 @ X0))) <=> ! [X3 : (a > $o)] : (? [X5 : a] : (($true != ((X0 @ X5))) & ($true = ((X3 @ X5)))) | ! [X6 : a] : ((((X1 @ X6)) = $true) | ($true != ((X3 @ X6)))) | ? [X4 : a] : (($true = ((X3 @ X4))) & ($true != ((X2 @ X4))))))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 1.04/0.42 thf(f8,plain,(
% 1.04/0.42 ? [X1 : (a > $o),X2 : (a > $o),X0 : (a > $o)] : (((^[Y0 : a]: ((X0 @ Y0) & (X2 @ Y0))) = X1) <~> (! [X7 : a] : (($true = ((X0 @ X7))) | (((X1 @ X7)) != $true)) & ! [X8 : a] : (($true = ((X2 @ X8))) | ($true != ((X1 @ X8)))) & ($true = ((sP0 @ X2 @ X1 @ X0)))))),
% 1.04/0.42 inference(definition_folding,[],[f6,f7])).
% 1.04/0.42 thf(f9,plain,(
% 1.04/0.42 ! [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : ((($true = ((sP0 @ X2 @ X1 @ X0))) | ? [X3 : (a > $o)] : (! [X5 : a] : (($true = ((X0 @ X5))) | ($true != ((X3 @ X5)))) & ? [X6 : a] : ((((X1 @ X6)) != $true) & ($true = ((X3 @ X6)))) & ! [X4 : a] : (($true != ((X3 @ X4))) | ($true = ((X2 @ X4)))))) & (! [X3 : (a > $o)] : (? [X5 : a] : (($true != ((X0 @ X5))) & ($true = ((X3 @ X5)))) | ! [X6 : a] : ((((X1 @ X6)) = $true) | ($true != ((X3 @ X6)))) | ? [X4 : a] : (($true = ((X3 @ X4))) & ($true != ((X2 @ X4))))) | ($true != ((sP0 @ X2 @ X1 @ X0)))))),
% 1.04/0.42 inference(nnf_transformation,[],[f7])).
% 1.04/0.42 thf(f10,plain,(
% 1.04/0.42 ! [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : ((($true = ((sP0 @ X2 @ X1 @ X0))) | ? [X3 : (a > $o)] : (! [X4 : a] : (($true = ((X0 @ X4))) | ($true != ((X3 @ X4)))) & ? [X5 : a] : (($true != ((X1 @ X5))) & ($true = ((X3 @ X5)))) & ! [X6 : a] : (($true != ((X3 @ X6))) | ($true = ((X2 @ X6)))))) & (! [X7 : (a > $o)] : (? [X8 : a] : (($true != ((X0 @ X8))) & (((X7 @ X8)) = $true)) | ! [X9 : a] : (($true = ((X1 @ X9))) | ($true != ((X7 @ X9)))) | ? [X10 : a] : ((((X7 @ X10)) = $true) & ($true != ((X2 @ X10))))) | ($true != ((sP0 @ X2 @ X1 @ X0)))))),
% 1.04/0.42 inference(rectify,[],[f9])).
% 1.04/0.42 thf(f11,plain,(
% 1.04/0.42 ! [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : ((($true = ((sP0 @ X2 @ X1 @ X0))) | (! [X4 : a] : (($true = ((X0 @ X4))) | ($true != ((sK1 @ X2 @ X1 @ X0 @ X4)))) & (($true != ((X1 @ (sK2 @ X2 @ X1 @ X0)))) & ($true = ((sK1 @ X2 @ X1 @ X0 @ (sK2 @ X2 @ X1 @ X0))))) & ! [X6 : a] : (($true != ((sK1 @ X2 @ X1 @ X0 @ X6))) | ($true = ((X2 @ X6)))))) & (! [X7 : (a > $o)] : ((($true != ((X0 @ (sK3 @ X7 @ X0)))) & ($true = ((X7 @ (sK3 @ X7 @ X0))))) | ! [X9 : a] : (($true = ((X1 @ X9))) | ($true != ((X7 @ X9)))) | (($true = ((X7 @ (sK4 @ X7 @ X2)))) & ($true != ((X2 @ (sK4 @ X7 @ X2)))))) | ($true != ((sP0 @ X2 @ X1 @ X0)))))),
% 1.04/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP]),skolemize(X10,sK4 @ X7 @ X2),skolemize(X10,sK4 @ X7 @ X2),skolemize(X10,sK4 @ X7 @ X2),skolemize(X10,sK4 @ X7 @ X2)],[f10])).
% 1.04/0.42 thf(f12,plain,(
% 1.04/0.42 ? [X1 : (a > $o),X2 : (a > $o),X0 : (a > $o)] : (((? [X7 : a] : (($true != ((X0 @ X7))) & (((X1 @ X7)) = $true)) | ? [X8 : a] : (($true != ((X2 @ X8))) & ($true = ((X1 @ X8)))) | ($true != ((sP0 @ X2 @ X1 @ X0)))) | ((^[Y0 : a]: ((X0 @ Y0) & (X2 @ Y0))) != X1)) & ((! [X7 : a] : (($true = ((X0 @ X7))) | (((X1 @ X7)) != $true)) & ! [X8 : a] : (($true = ((X2 @ X8))) | ($true != ((X1 @ X8)))) & ($true = ((sP0 @ X2 @ X1 @ X0)))) | ((^[Y0 : a]: ((X0 @ Y0) & (X2 @ Y0))) = X1)))),
% 1.04/0.42 inference(nnf_transformation,[],[f8])).
% 1.04/0.42 thf(f13,plain,(
% 1.04/0.42 ? [X1 : (a > $o),X2 : (a > $o),X0 : (a > $o)] : ((? [X7 : a] : (($true != ((X0 @ X7))) & (((X1 @ X7)) = $true)) | ? [X8 : a] : (($true != ((X2 @ X8))) & ($true = ((X1 @ X8)))) | ($true != ((sP0 @ X2 @ X1 @ X0))) | ((^[Y0 : a]: ((X0 @ Y0) & (X2 @ Y0))) != X1)) & ((! [X7 : a] : (($true = ((X0 @ X7))) | (((X1 @ X7)) != $true)) & ! [X8 : a] : (($true = ((X2 @ X8))) | ($true != ((X1 @ X8)))) & ($true = ((sP0 @ X2 @ X1 @ X0)))) | ((^[Y0 : a]: ((X0 @ Y0) & (X2 @ Y0))) = X1)))),
% 1.04/0.42 inference(flattening,[],[f12])).
% 1.04/0.42 thf(f14,plain,(
% 1.04/0.42 ? [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : ((? [X3 : a] : ((((X2 @ X3)) != $true) & (((X0 @ X3)) = $true)) | ? [X4 : a] : ((((X1 @ X4)) != $true) & ($true = ((X0 @ X4)))) | ($true != ((sP0 @ X1 @ X0 @ X2))) | ((^[Y0 : a]: ((X2 @ Y0) & (X1 @ Y0))) != X0)) & ((! [X5 : a] : (($true = ((X2 @ X5))) | ($true != ((X0 @ X5)))) & ! [X6 : a] : ((((X1 @ X6)) = $true) | ($true != ((X0 @ X6)))) & ($true = ((sP0 @ X1 @ X0 @ X2)))) | ((^[Y0 : a]: ((X2 @ Y0) & (X1 @ Y0))) = X0)))),
% 1.04/0.42 inference(rectify,[],[f13])).
% 1.04/0.42 thf(f15,plain,(
% 1.04/0.42 ((($true != ((sK7 @ sK8))) & (((sK5 @ sK8)) = $true)) | ((((sK6 @ sK9)) != $true) & (((sK5 @ sK9)) = $true)) | ($true != ((sP0 @ sK6 @ sK5 @ sK7))) | (sK5 != (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0))))) & ((! [X5 : a] : (($true = ((sK7 @ X5))) | ($true != ((sK5 @ X5)))) & ! [X6 : a] : (($true = ((sK6 @ X6))) | (((sK5 @ X6)) != $true)) & ($true = ((sP0 @ sK6 @ sK5 @ sK7)))) | (sK5 = (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))))),
% 1.04/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9)],[f14])).
% 1.04/0.42 thf(f16,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o),X9 : a,X7 : (a > $o)] : (($true != ((sP0 @ X2 @ X1 @ X0))) | ($true != ((X2 @ (sK4 @ X7 @ X2)))) | ($true = ((X7 @ (sK3 @ X7 @ X0)))) | ($true = ((X1 @ X9))) | ($true != ((X7 @ X9)))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f11])).
% 1.04/0.42 thf(f17,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o),X9 : a,X7 : (a > $o)] : (($true != ((sP0 @ X2 @ X1 @ X0))) | ($true != ((X7 @ X9))) | ($true = ((X1 @ X9))) | ($true = ((X7 @ (sK4 @ X7 @ X2)))) | ($true = ((X7 @ (sK3 @ X7 @ X0))))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f11])).
% 1.04/0.42 thf(f18,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o),X9 : a,X7 : (a > $o)] : (($true != ((sP0 @ X2 @ X1 @ X0))) | ($true != ((X7 @ X9))) | ($true != ((X2 @ (sK4 @ X7 @ X2)))) | ($true = ((X1 @ X9))) | ($true != ((X0 @ (sK3 @ X7 @ X0))))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f11])).
% 1.04/0.42 thf(f19,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o),X9 : a,X7 : (a > $o)] : (($true != ((sP0 @ X2 @ X1 @ X0))) | ($true != ((X7 @ X9))) | ($true = ((X7 @ (sK4 @ X7 @ X2)))) | ($true = ((X1 @ X9))) | ($true != ((X0 @ (sK3 @ X7 @ X0))))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f11])).
% 1.04/0.42 thf(f20,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o),X6 : a] : (($true != ((sK1 @ X2 @ X1 @ X0 @ X6))) | ($true = ((sP0 @ X2 @ X1 @ X0))) | ($true = ((X2 @ X6)))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f11])).
% 1.04/0.42 thf(f21,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o)] : (($true = ((sK1 @ X2 @ X1 @ X0 @ (sK2 @ X2 @ X1 @ X0)))) | ($true = ((sP0 @ X2 @ X1 @ X0)))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f11])).
% 1.04/0.42 thf(f22,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o)] : (($true != ((X1 @ (sK2 @ X2 @ X1 @ X0)))) | ($true = ((sP0 @ X2 @ X1 @ X0)))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f11])).
% 1.04/0.42 thf(f23,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o),X4 : a] : (($true != ((sK1 @ X2 @ X1 @ X0 @ X4))) | ($true = ((sP0 @ X2 @ X1 @ X0))) | ($true = ((X0 @ X4)))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f11])).
% 1.04/0.42 thf(f24,plain,(
% 1.04/0.42 (sK5 = (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | ($true = ((sP0 @ sK6 @ sK5 @ sK7)))),
% 1.04/0.42 inference(cnf_transformation,[],[f15])).
% 1.04/0.42 thf(f25,plain,(
% 1.04/0.42 ( ! [X6 : a] : ((((sK5 @ X6)) != $true) | (sK5 = (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | ($true = ((sK6 @ X6)))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f15])).
% 1.04/0.42 thf(f26,plain,(
% 1.04/0.42 ( ! [X5 : a] : ((sK5 = (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | ($true = ((sK7 @ X5))) | ($true != ((sK5 @ X5)))) )),
% 1.04/0.42 inference(cnf_transformation,[],[f15])).
% 1.04/0.42 thf(f27,plain,(
% 1.04/0.42 (sK5 != (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | ($true != ((sP0 @ sK6 @ sK5 @ sK7))) | (((sK5 @ sK8)) = $true) | (((sK5 @ sK9)) = $true)),
% 1.04/0.42 inference(cnf_transformation,[],[f15])).
% 1.04/0.42 thf(f28,plain,(
% 1.04/0.42 (((sK5 @ sK8)) = $true) | (sK5 != (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | (((sK6 @ sK9)) != $true) | ($true != ((sP0 @ sK6 @ sK5 @ sK7)))),
% 1.04/0.42 inference(cnf_transformation,[],[f15])).
% 1.04/0.42 thf(f29,plain,(
% 1.04/0.42 (sK5 != (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | ($true != ((sP0 @ sK6 @ sK5 @ sK7))) | ($true != ((sK7 @ sK8))) | (((sK5 @ sK9)) = $true)),
% 1.04/0.42 inference(cnf_transformation,[],[f15])).
% 1.04/0.42 thf(f30,plain,(
% 1.04/0.42 ($true != ((sK7 @ sK8))) | (sK5 != (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | ($true != ((sP0 @ sK6 @ sK5 @ sK7))) | (((sK6 @ sK9)) != $true)),
% 1.04/0.42 inference(cnf_transformation,[],[f15])).
% 1.04/0.42 thf(f32,definition,(
% 1.04/0.42 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.04/0.42 introduced(theory,[fool_exhaustiveness_axiom])).
% 1.04/0.42 thf(f34,definition,(
% 1.04/0.42 spl10_1 <=> (((sK6 @ sK9)) = $true)),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition])).
% 1.04/0.42 thf(f36,plain,(
% 1.04/0.42 (((sK6 @ sK9)) != $true) | spl10_1),
% 1.04/0.42 inference(avatar_component_clause,[],[f34])).
% 1.04/0.42 thf(f38,definition,(
% 1.04/0.42 spl10_2 <=> (((sK5 @ sK8)) = $true)),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition])).
% 1.04/0.42 thf(f40,plain,(
% 1.04/0.42 (((sK5 @ sK8)) = $true) | ~spl10_2),
% 1.04/0.42 inference(avatar_component_clause,[],[f38])).
% 1.04/0.42 thf(f42,definition,(
% 1.04/0.42 spl10_3 <=> (sK5 = (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0))))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition])).
% 1.04/0.42 thf(f43,plain,(
% 1.04/0.42 (sK5 = (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | ~spl10_3),
% 1.04/0.42 inference(avatar_component_clause,[],[f42])).
% 1.04/0.42 thf(f44,plain,(
% 1.04/0.42 (sK5 != (^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0)))) | spl10_3),
% 1.04/0.42 inference(avatar_component_clause,[],[f42])).
% 1.04/0.42 thf(f46,definition,(
% 1.04/0.42 spl10_4 <=> ($true = ((sP0 @ sK6 @ sK5 @ sK7)))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition])).
% 1.04/0.42 thf(f47,plain,(
% 1.04/0.42 ($true = ((sP0 @ sK6 @ sK5 @ sK7))) | ~spl10_4),
% 1.04/0.42 inference(avatar_component_clause,[],[f46])).
% 1.04/0.42 thf(f49,plain,(
% 1.04/0.42 ~spl10_1 | spl10_2 | ~spl10_3 | ~spl10_4),
% 1.04/0.42 inference(avatar_split_clause,[],[f28,f46,f42,f38,f34])).
% 1.04/0.42 thf(f50,plain,(
% 1.04/0.42 spl10_3 | spl10_4),
% 1.04/0.42 inference(avatar_split_clause,[],[f24,f46,f42])).
% 1.04/0.42 thf(f52,definition,(
% 1.04/0.42 spl10_5 <=> ($true = ((sK7 @ sK8)))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition])).
% 1.04/0.42 thf(f54,plain,(
% 1.04/0.42 ($true != ((sK7 @ sK8))) | spl10_5),
% 1.04/0.42 inference(avatar_component_clause,[],[f52])).
% 1.04/0.42 thf(f55,plain,(
% 1.04/0.42 ~spl10_5 | ~spl10_3 | ~spl10_1 | ~spl10_4),
% 1.04/0.42 inference(avatar_split_clause,[],[f30,f46,f34,f42,f52])).
% 1.04/0.42 thf(f57,definition,(
% 1.04/0.42 spl10_6 <=> ! [X5 : a] : (($true = ((sK7 @ X5))) | ($true != ((sK5 @ X5))))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition])).
% 1.04/0.42 thf(f58,plain,(
% 1.04/0.42 ( ! [X5 : a] : (($true != ((sK5 @ X5))) | ($true = ((sK7 @ X5)))) ) | ~spl10_6),
% 1.04/0.42 inference(avatar_component_clause,[],[f57])).
% 1.04/0.42 thf(f59,plain,(
% 1.04/0.42 spl10_3 | spl10_6),
% 1.04/0.42 inference(avatar_split_clause,[],[f26,f57,f42])).
% 1.04/0.42 thf(f61,definition,(
% 1.04/0.42 spl10_7 <=> (((sK5 @ sK9)) = $true)),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition])).
% 1.04/0.42 thf(f63,plain,(
% 1.04/0.42 (((sK5 @ sK9)) = $true) | ~spl10_7),
% 1.04/0.42 inference(avatar_component_clause,[],[f61])).
% 1.04/0.42 thf(f64,plain,(
% 1.04/0.42 spl10_2 | ~spl10_4 | ~spl10_3 | spl10_7),
% 1.04/0.42 inference(avatar_split_clause,[],[f27,f61,f42,f46,f38])).
% 1.04/0.42 thf(f65,plain,(
% 1.04/0.42 ~spl10_4 | ~spl10_5 | spl10_7 | ~spl10_3),
% 1.04/0.42 inference(avatar_split_clause,[],[f29,f42,f61,f52,f46])).
% 1.04/0.42 thf(f67,definition,(
% 1.04/0.42 spl10_8 <=> ! [X6 : a] : ((((sK5 @ X6)) != $true) | ($true = ((sK6 @ X6))))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition])).
% 1.04/0.42 thf(f68,plain,(
% 1.04/0.42 ( ! [X6 : a] : ((((sK5 @ X6)) != $true) | ($true = ((sK6 @ X6)))) ) | ~spl10_8),
% 1.04/0.42 inference(avatar_component_clause,[],[f67])).
% 1.04/0.42 thf(f69,plain,(
% 1.04/0.42 spl10_8 | spl10_3),
% 1.04/0.42 inference(avatar_split_clause,[],[f25,f42,f67])).
% 1.04/0.42 thf(f70,plain,(
% 1.04/0.42 ( ! [X1 : a] : (((((^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0))) @ X1)) = ((sK5 @ X1)))) ) | ~spl10_3),
% 1.04/0.42 inference(argument_congruence,[],[f43])).
% 1.04/0.42 thf(f71,plain,(
% 1.04/0.42 ( ! [X1 : a] : (($false = ((sK5 @ X1))) | ((((^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0))) @ X1)) = $true)) ) | ~spl10_3),
% 1.04/0.42 inference(iff_proxy_clausification,[],[f70])).
% 1.04/0.42 thf(f72,plain,(
% 1.04/0.42 ( ! [X1 : a] : (($true = ((sK5 @ X1))) | ((((^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0))) @ X1)) = $false)) ) | ~spl10_3),
% 1.04/0.42 inference(iff_proxy_clausification,[],[f70])).
% 1.04/0.42 thf(f73,plain,(
% 1.04/0.42 ( ! [X1 : a] : (($true = ((sK5 @ X1))) | ((((sK7 @ X1) & (sK6 @ X1))) = $false)) ) | ~spl10_3),
% 1.04/0.42 inference(beta-eta_normalization,[],[f72])).
% 1.04/0.42 thf(f74,plain,(
% 1.04/0.42 ( ! [X1 : a] : (($true = ((sK5 @ X1))) | ($false = ((sK7 @ X1))) | ($false = ((sK6 @ X1)))) ) | ~spl10_3),
% 1.04/0.42 inference(and_proxy_clausification,[],[f73])).
% 1.04/0.42 thf(f75,plain,(
% 1.04/0.42 ( ! [X1 : a] : (($false = ((sK5 @ X1))) | ($true = (((sK7 @ X1) & (sK6 @ X1))))) ) | ~spl10_3),
% 1.04/0.42 inference(beta-eta_normalization,[],[f71])).
% 1.04/0.42 thf(f76,plain,(
% 1.04/0.42 ( ! [X1 : a] : (($true = ((sK6 @ X1))) | ($false = ((sK5 @ X1)))) ) | ~spl10_3),
% 1.04/0.42 inference(and_proxy_clausification,[],[f75])).
% 1.04/0.42 thf(f77,plain,(
% 1.04/0.42 ( ! [X1 : a] : (($true = ((sK7 @ X1))) | ($false = ((sK5 @ X1)))) ) | ~spl10_3),
% 1.04/0.42 inference(and_proxy_clausification,[],[f75])).
% 1.04/0.42 thf(f92,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o),X1 : (a > $o)] : (($true != $true) | ($false = ((sK6 @ (sK2 @ X0 @ sK5 @ X1)))) | ($true = ((sP0 @ X0 @ sK5 @ X1))) | (((sK7 @ (sK2 @ X0 @ sK5 @ X1))) = $false)) ) | ~spl10_3),
% 1.04/0.42 inference(superposition,[],[f22,f74])).
% 1.04/0.42 thf(f97,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o),X1 : (a > $o)] : (($false = ((sK6 @ (sK2 @ X0 @ sK5 @ X1)))) | (((sK7 @ (sK2 @ X0 @ sK5 @ X1))) = $false) | ($true = ((sP0 @ X0 @ sK5 @ X1)))) ) | ~spl10_3),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f92])).
% 1.04/0.42 thf(f135,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X3 : (a > $o),X0 : a,X1 : (a > $o)] : ((((sK4 @ (= @ X0) @ X1)) = X0) | ($true != ((sP0 @ X1 @ X2 @ X3))) | (((X2 @ X0)) = $true) | ($true = ((X0 = (sK3 @ (= @ X0) @ X3))))) )),
% 1.04/0.42 inference(leibniz_equality_elimination,[],[f17])).
% 1.04/0.42 thf(f138,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X3 : (a > $o),X0 : a,X1 : (a > $o)] : (($true != ((sP0 @ X1 @ X2 @ X3))) | (((X2 @ X0)) = $true) | (((sK4 @ (= @ X0) @ X1)) = X0) | (((sK3 @ (= @ X0) @ X3)) = X0)) )),
% 1.04/0.42 inference(equality_proxy_clausification,[],[f135])).
% 1.04/0.42 thf(f149,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X3 : (a > $o),X0 : a,X1 : (a > $o)] : (($true != ((sP0 @ X1 @ X2 @ X3))) | (((sK4 @ (= @ X0) @ X1)) = X0) | ($true != ((X3 @ (sK3 @ (= @ X0) @ X3)))) | (((X2 @ X0)) = $true)) )),
% 1.04/0.42 inference(leibniz_equality_elimination,[],[f19])).
% 1.04/0.42 thf(f159,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o)] : (($true != $true) | ($true = ((sP0 @ X0 @ X1 @ X2))) | ($true = ((X2 @ (sK2 @ X0 @ X1 @ X2)))) | ($true = ((sP0 @ X0 @ X1 @ X2)))) )),
% 1.04/0.42 inference(superposition,[],[f23,f21])).
% 1.04/0.42 thf(f160,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o)] : (($true = ((X0 @ (sK2 @ X0 @ X1 @ X2)))) | ($true = ((sP0 @ X0 @ X1 @ X2))) | ($true != $true) | ($true = ((sP0 @ X0 @ X1 @ X2)))) )),
% 1.04/0.42 inference(superposition,[],[f20,f21])).
% 1.04/0.42 thf(f161,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o)] : (($true = ((sP0 @ X0 @ X1 @ X2))) | ($true = ((X0 @ (sK2 @ X0 @ X1 @ X2)))) | ($true != $true)) )),
% 1.04/0.42 inference(duplicate_literal_removal,[],[f160])).
% 1.04/0.42 thf(f162,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o)] : (($true = ((X0 @ (sK2 @ X0 @ X1 @ X2)))) | ($true = ((sP0 @ X0 @ X1 @ X2)))) )),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f161])).
% 1.04/0.42 thf(f163,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o)] : (($true != $true) | ($true = ((sP0 @ X0 @ X1 @ X2))) | ($true = ((X2 @ (sK2 @ X0 @ X1 @ X2))))) )),
% 1.04/0.42 inference(duplicate_literal_removal,[],[f159])).
% 1.04/0.42 thf(f164,plain,(
% 1.04/0.42 ( ! [X2 : (a > $o),X0 : (a > $o),X1 : (a > $o)] : (($true = ((X2 @ (sK2 @ X0 @ X1 @ X2)))) | ($true = ((sP0 @ X0 @ X1 @ X2)))) )),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f163])).
% 1.04/0.42 thf(f228,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o)] : ((((sP0 @ sK6 @ sK5 @ X0)) = $true) | ($true = $false) | ($false = ((sK7 @ (sK2 @ sK6 @ sK5 @ X0)))) | (((sP0 @ sK6 @ sK5 @ X0)) = $true)) ) | ~spl10_3),
% 1.04/0.42 inference(superposition,[],[f97,f162])).
% 1.04/0.42 thf(f235,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o)] : ((((sP0 @ sK6 @ sK5 @ X0)) = $true) | ($false = ((sK7 @ (sK2 @ sK6 @ sK5 @ X0)))) | ($true = $false)) ) | ~spl10_3),
% 1.04/0.42 inference(duplicate_literal_removal,[],[f228])).
% 1.04/0.42 thf(f236,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o)] : (($false = ((sK7 @ (sK2 @ sK6 @ sK5 @ X0)))) | (((sP0 @ sK6 @ sK5 @ X0)) = $true)) ) | ~spl10_3),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f235])).
% 1.04/0.42 thf(f586,plain,(
% 1.04/0.42 ($true = ((sP0 @ sK6 @ sK5 @ sK7))) | ($true = $false) | ($true = ((sP0 @ sK6 @ sK5 @ sK7))) | ~spl10_3),
% 1.04/0.42 inference(superposition,[],[f164,f236])).
% 1.04/0.42 thf(f589,plain,(
% 1.04/0.42 ($true = ((sP0 @ sK6 @ sK5 @ sK7))) | ($true = $false) | ~spl10_3),
% 1.04/0.42 inference(duplicate_literal_removal,[],[f586])).
% 1.04/0.42 thf(f590,plain,(
% 1.04/0.42 ($true = ((sP0 @ sK6 @ sK5 @ sK7))) | ~spl10_3),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f589])).
% 1.04/0.42 thf(f600,plain,(
% 1.04/0.42 spl10_4 | ~spl10_3),
% 1.04/0.42 inference(avatar_split_clause,[],[f590,f42,f46])).
% 1.04/0.42 thf(f601,plain,(
% 1.04/0.42 (((sK5 @ sK9)) = $false) | ($true != $true) | (spl10_1 | ~spl10_3)),
% 1.04/0.42 inference(superposition,[],[f36,f76])).
% 1.04/0.42 thf(f604,plain,(
% 1.04/0.42 (((sK5 @ sK9)) = $false) | (spl10_1 | ~spl10_3)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f601])).
% 1.04/0.42 thf(f607,plain,(
% 1.04/0.42 ($true = $false) | (spl10_1 | ~spl10_3 | ~spl10_7)),
% 1.04/0.42 inference(superposition,[],[f604,f63])).
% 1.04/0.42 thf(f617,plain,(
% 1.04/0.42 $false | (spl10_1 | ~spl10_3 | ~spl10_7)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f607])).
% 1.04/0.42 thf(f618,plain,(
% 1.04/0.42 spl10_1 | ~spl10_3 | ~spl10_7),
% 1.04/0.42 inference(avatar_contradiction_clause,[],[f617])).
% 1.04/0.42 thf(f634,plain,(
% 1.04/0.42 ($true != $true) | (((sK5 @ sK8)) = $false) | (~spl10_3 | spl10_5)),
% 1.04/0.42 inference(superposition,[],[f54,f77])).
% 1.04/0.42 thf(f636,plain,(
% 1.04/0.42 (((sK5 @ sK8)) = $false) | (~spl10_3 | spl10_5)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f634])).
% 1.04/0.42 thf(f638,plain,(
% 1.04/0.42 ($true = $false) | (~spl10_2 | ~spl10_3 | spl10_5)),
% 1.04/0.42 inference(superposition,[],[f636,f40])).
% 1.04/0.42 thf(f649,plain,(
% 1.04/0.42 $false | (~spl10_2 | ~spl10_3 | spl10_5)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f638])).
% 1.04/0.42 thf(f650,plain,(
% 1.04/0.42 ~spl10_2 | ~spl10_3 | spl10_5),
% 1.04/0.42 inference(avatar_contradiction_clause,[],[f649])).
% 1.04/0.42 thf(f692,plain,(
% 1.04/0.42 (((sK5 @ sK11)) != (((^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0))) @ sK11))) | spl10_3),
% 1.04/0.42 inference(negative_extensionality,[],[f44])).
% 1.04/0.42 thf(f693,plain,(
% 1.04/0.42 ($true = (((^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0))) @ sK11))) | ($true = ((sK5 @ sK11))) | spl10_3),
% 1.04/0.42 inference(xor_proxy_clausification,[],[f692])).
% 1.04/0.42 thf(f694,plain,(
% 1.04/0.42 ($false = ((sK5 @ sK11))) | ($false = (((^[Y0 : a]: ((sK7 @ Y0) & (sK6 @ Y0))) @ sK11))) | spl10_3),
% 1.04/0.42 inference(xor_proxy_clausification,[],[f692])).
% 1.04/0.42 thf(f695,plain,(
% 1.04/0.42 ($false = ((sK5 @ sK11))) | ((((sK7 @ sK11) & (sK6 @ sK11))) = $false) | spl10_3),
% 1.04/0.42 inference(beta-eta_normalization,[],[f694])).
% 1.04/0.42 thf(f696,plain,(
% 1.04/0.42 ($false = ((sK5 @ sK11))) | ($false = ((sK7 @ sK11))) | ($false = ((sK6 @ sK11))) | spl10_3),
% 1.04/0.42 inference(and_proxy_clausification,[],[f695])).
% 1.04/0.42 thf(f697,plain,(
% 1.04/0.42 ($true = ((sK5 @ sK11))) | ($true = (((sK7 @ sK11) & (sK6 @ sK11)))) | spl10_3),
% 1.04/0.42 inference(beta-eta_normalization,[],[f693])).
% 1.04/0.42 thf(f698,plain,(
% 1.04/0.42 ($true = ((sK5 @ sK11))) | ($true = ((sK6 @ sK11))) | spl10_3),
% 1.04/0.42 inference(and_proxy_clausification,[],[f697])).
% 1.04/0.42 thf(f699,plain,(
% 1.04/0.42 ($true = ((sK5 @ sK11))) | ($true = ((sK7 @ sK11))) | spl10_3),
% 1.04/0.42 inference(and_proxy_clausification,[],[f697])).
% 1.04/0.42 thf(f701,definition,(
% 1.04/0.42 spl10_13 <=> ($false = ((sK5 @ sK11)))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition])).
% 1.04/0.42 thf(f703,plain,(
% 1.04/0.42 ($false = ((sK5 @ sK11))) | ~spl10_13),
% 1.04/0.42 inference(avatar_component_clause,[],[f701])).
% 1.04/0.42 thf(f705,definition,(
% 1.04/0.42 spl10_14 <=> ($false = ((sK6 @ sK11)))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition])).
% 1.04/0.42 thf(f707,plain,(
% 1.04/0.42 ($false = ((sK6 @ sK11))) | ~spl10_14),
% 1.04/0.42 inference(avatar_component_clause,[],[f705])).
% 1.04/0.42 thf(f709,definition,(
% 1.04/0.42 spl10_15 <=> ($false = ((sK7 @ sK11)))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition])).
% 1.04/0.42 thf(f711,plain,(
% 1.04/0.42 ($false = ((sK7 @ sK11))) | ~spl10_15),
% 1.04/0.42 inference(avatar_component_clause,[],[f709])).
% 1.04/0.42 thf(f712,plain,(
% 1.04/0.42 spl10_13 | spl10_14 | spl10_15 | spl10_3),
% 1.04/0.42 inference(avatar_split_clause,[],[f696,f42,f709,f705,f701])).
% 1.04/0.42 thf(f713,plain,(
% 1.04/0.42 ($true = ((sK7 @ sK11))) | (spl10_3 | ~spl10_6)),
% 1.04/0.42 inference(forward_subsumption_resolution,[],[f699,f58])).
% 1.04/0.42 thf(f714,plain,(
% 1.04/0.42 ($true = ((sK6 @ sK11))) | (spl10_3 | ~spl10_8)),
% 1.04/0.42 inference(forward_subsumption_resolution,[],[f698,f68])).
% 1.04/0.42 thf(f717,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o),X1 : a] : (($true != ((sK6 @ (sK4 @ X0 @ sK6)))) | ($true != ((X0 @ X1))) | ($true != $true) | ($true = ((X0 @ (sK3 @ X0 @ sK7)))) | ($true = ((sK5 @ X1)))) ) | ~spl10_4),
% 1.04/0.42 inference(superposition,[],[f16,f47])).
% 1.04/0.42 thf(f719,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o),X1 : a] : (($true = ((sK5 @ X1))) | ($true != ((sK6 @ (sK4 @ X0 @ sK6)))) | ($true != ((X0 @ X1))) | ($true != ((sK7 @ (sK3 @ X0 @ sK7)))) | ($true != $true)) ) | ~spl10_4),
% 1.04/0.42 inference(superposition,[],[f18,f47])).
% 1.04/0.42 thf(f722,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((((sK4 @ (= @ X0) @ sK6)) = X0) | ($true != $true) | ($true = ((sK5 @ X0))) | (((sK3 @ (= @ X0) @ sK7)) = X0)) ) | ~spl10_4),
% 1.04/0.42 inference(superposition,[],[f138,f47])).
% 1.04/0.42 thf(f723,plain,(
% 1.04/0.42 ( ! [X0 : a] : (($true = ((sK5 @ X0))) | ($true != $true) | ($true != ((sK7 @ (sK3 @ (= @ X0) @ sK7)))) | (((sK4 @ (= @ X0) @ sK6)) = X0)) ) | ~spl10_4),
% 1.04/0.42 inference(superposition,[],[f149,f47])).
% 1.04/0.42 thf(f725,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o),X1 : a] : (($true != ((sK7 @ (sK3 @ X0 @ sK7)))) | ($true != ((X0 @ X1))) | ($true = ((sK5 @ X1))) | ($true != ((sK6 @ (sK4 @ X0 @ sK6))))) ) | ~spl10_4),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f719])).
% 1.04/0.42 thf(f728,plain,(
% 1.04/0.42 ( ! [X0 : a] : (($true != ((sK7 @ (sK3 @ (= @ X0) @ sK7)))) | (((sK4 @ (= @ X0) @ sK6)) = X0) | ($true = ((sK5 @ X0)))) ) | ~spl10_4),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f723])).
% 1.04/0.42 thf(f729,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o),X1 : a] : (($true != ((sK6 @ (sK4 @ X0 @ sK6)))) | ($true = ((X0 @ (sK3 @ X0 @ sK7)))) | ($true != ((X0 @ X1))) | ($true = ((sK5 @ X1)))) ) | ~spl10_4),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f717])).
% 1.04/0.42 thf(f730,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((((sK4 @ (= @ X0) @ sK6)) = X0) | ($true = ((sK5 @ X0))) | (((sK3 @ (= @ X0) @ sK7)) = X0)) ) | ~spl10_4),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f722])).
% 1.04/0.42 thf(f769,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o),X1 : a] : (($true != ((sK6 @ (sK4 @ X0 @ sK6)))) | ($true = ((sK5 @ X1))) | ($true != ((X0 @ X1))) | ($true != $true) | ($false = ((sK7 @ (sK3 @ X0 @ sK7))))) ) | ~spl10_4),
% 1.04/0.42 inference(superposition,[],[f725,f32])).
% 1.04/0.42 thf(f770,plain,(
% 1.04/0.42 ( ! [X0 : (a > $o),X1 : a] : (($true != ((sK6 @ (sK4 @ X0 @ sK6)))) | ($false = ((sK7 @ (sK3 @ X0 @ sK7)))) | ($true = ((sK5 @ X1))) | ($true != ((X0 @ X1)))) ) | ~spl10_4),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f769])).
% 1.04/0.42 thf(f849,plain,(
% 1.04/0.42 ( ! [X0 : a,X1 : a] : (($true = ((sK5 @ X0))) | ($true != ((X0 = X1))) | ($true = ((sK5 @ X1))) | ($true != ((sK6 @ X0))) | (((sK3 @ (= @ X0) @ sK7)) = X0) | ($true = ((X0 = (sK3 @ (= @ X0) @ sK7))))) ) | ~spl10_4),
% 1.04/0.42 inference(superposition,[],[f729,f730])).
% 1.04/0.42 thf(f853,plain,(
% 1.04/0.42 ( ! [X0 : a,X1 : a] : (($true = ((X0 = (sK3 @ (= @ X0) @ sK7)))) | ($true != ((sK6 @ X0))) | ($true = ((sK5 @ X0))) | ($true = ((sK5 @ X1))) | (((sK3 @ (= @ X0) @ sK7)) = X0) | (X0 != X1)) ) | ~spl10_4),
% 1.04/0.42 inference(equality_proxy_clausification,[],[f849])).
% 1.04/0.42 thf(f854,plain,(
% 1.04/0.42 ( ! [X0 : a,X1 : a] : ((X0 != X1) | ($true = ((sK5 @ X0))) | (((sK3 @ (= @ X0) @ sK7)) = X0) | (((sK3 @ (= @ X0) @ sK7)) = X0) | ($true = ((sK5 @ X1))) | ($true != ((sK6 @ X0)))) ) | ~spl10_4),
% 1.04/0.42 inference(equality_proxy_clausification,[],[f853])).
% 1.04/0.42 thf(f855,plain,(
% 1.04/0.42 ( ! [X0 : a,X1 : a] : (($true != ((sK6 @ X0))) | ($true = ((sK5 @ X0))) | (((sK3 @ (= @ X0) @ sK7)) = X0) | ($true = ((sK5 @ X1))) | (X0 != X1)) ) | ~spl10_4),
% 1.04/0.42 inference(duplicate_literal_removal,[],[f854])).
% 1.04/0.42 thf(f869,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((((sK3 @ (= @ sK11) @ sK7)) = sK11) | (sK11 != X0) | ($true = ((sK5 @ X0))) | ($true = ((sK5 @ sK11))) | ($true != $true)) ) | (spl10_3 | ~spl10_4 | ~spl10_8)),
% 1.04/0.42 inference(superposition,[],[f855,f714])).
% 1.04/0.42 thf(f878,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((((sK3 @ (= @ sK11) @ sK7)) = sK11) | ($true = ((sK5 @ X0))) | (sK11 != X0) | ($true = ((sK5 @ sK11)))) ) | (spl10_3 | ~spl10_4 | ~spl10_8)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f869])).
% 1.04/0.42 thf(f892,plain,(
% 1.04/0.42 ( ! [X0 : a] : (($true = ((sK5 @ X0))) | ($true = $false) | (sK11 != X0) | (((sK3 @ (= @ sK11) @ sK7)) = sK11)) ) | (spl10_3 | ~spl10_4 | ~spl10_8 | ~spl10_13)),
% 1.04/0.42 inference(forward_demodulation,[],[f878,f703])).
% 1.04/0.42 thf(f893,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((sK11 != X0) | ($true = ((sK5 @ X0))) | (((sK3 @ (= @ sK11) @ sK7)) = sK11)) ) | (spl10_3 | ~spl10_4 | ~spl10_8 | ~spl10_13)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f892])).
% 1.04/0.42 thf(f895,definition,(
% 1.04/0.42 spl10_23 <=> ! [X0 : a] : ((sK11 != X0) | ($true = ((sK5 @ X0))))),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition])).
% 1.04/0.42 thf(f896,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((sK11 != X0) | ($true = ((sK5 @ X0)))) ) | ~spl10_23),
% 1.04/0.42 inference(avatar_component_clause,[],[f895])).
% 1.04/0.42 thf(f898,definition,(
% 1.04/0.42 spl10_24 <=> (((sK3 @ (= @ sK11) @ sK7)) = sK11)),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition])).
% 1.04/0.42 thf(f900,plain,(
% 1.04/0.42 (((sK3 @ (= @ sK11) @ sK7)) = sK11) | ~spl10_24),
% 1.04/0.42 inference(avatar_component_clause,[],[f898])).
% 1.04/0.42 thf(f901,plain,(
% 1.04/0.42 spl10_23 | spl10_24 | spl10_3 | ~spl10_4 | ~spl10_8 | ~spl10_13),
% 1.04/0.42 inference(avatar_split_clause,[],[f893,f701,f67,f46,f42,f898,f895])).
% 1.04/0.42 thf(f928,definition,(
% 1.04/0.42 spl10_26 <=> (((sK4 @ (= @ sK11) @ sK6)) = sK11)),
% 1.04/0.42 introduced(definition,[new_symbols(definition,[spl10_26])],[avatar_definition])).
% 1.04/0.42 thf(f930,plain,(
% 1.04/0.42 (((sK4 @ (= @ sK11) @ sK6)) = sK11) | ~spl10_26),
% 1.04/0.42 inference(avatar_component_clause,[],[f928])).
% 1.04/0.42 thf(f938,plain,(
% 1.04/0.42 ($true = ((sK5 @ sK11))) | (sK11 != sK11) | ~spl10_23),
% 1.04/0.42 inference(imitation,[],[f896])).
% 1.04/0.42 thf(f940,plain,(
% 1.04/0.42 ($true = ((sK5 @ sK11))) | ~spl10_23),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f938])).
% 1.04/0.42 thf(f944,plain,(
% 1.04/0.42 ($true = $false) | (~spl10_13 | ~spl10_23)),
% 1.04/0.42 inference(forward_demodulation,[],[f940,f703])).
% 1.04/0.42 thf(f945,plain,(
% 1.04/0.42 $false | (~spl10_13 | ~spl10_23)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f944])).
% 1.04/0.42 thf(f946,plain,(
% 1.04/0.42 ~spl10_13 | ~spl10_23),
% 1.04/0.42 inference(avatar_contradiction_clause,[],[f945])).
% 1.04/0.42 thf(f948,plain,(
% 1.04/0.42 ($true = $false) | (spl10_3 | ~spl10_6 | ~spl10_15)),
% 1.04/0.42 inference(superposition,[],[f711,f713])).
% 1.04/0.42 thf(f959,plain,(
% 1.04/0.42 $false | (spl10_3 | ~spl10_6 | ~spl10_15)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f948])).
% 1.04/0.42 thf(f960,plain,(
% 1.04/0.42 spl10_3 | ~spl10_6 | ~spl10_15),
% 1.04/0.42 inference(avatar_contradiction_clause,[],[f959])).
% 1.04/0.42 thf(f967,plain,(
% 1.04/0.42 ($true = $false) | (spl10_3 | ~spl10_8 | ~spl10_14)),
% 1.04/0.42 inference(superposition,[],[f707,f714])).
% 1.04/0.42 thf(f980,plain,(
% 1.04/0.42 $false | (spl10_3 | ~spl10_8 | ~spl10_14)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f967])).
% 1.04/0.42 thf(f981,plain,(
% 1.04/0.42 spl10_3 | ~spl10_8 | ~spl10_14),
% 1.04/0.42 inference(avatar_contradiction_clause,[],[f980])).
% 1.04/0.42 thf(f1322,plain,(
% 1.04/0.42 ($true = ((sK5 @ sK11))) | (((sK4 @ (= @ sK11) @ sK6)) = sK11) | ($true != ((sK7 @ sK11))) | (~spl10_4 | ~spl10_24)),
% 1.04/0.42 inference(superposition,[],[f728,f900])).
% 1.04/0.42 thf(f1327,plain,(
% 1.04/0.42 (((sK4 @ (= @ sK11) @ sK6)) = sK11) | ($true = ((sK5 @ sK11))) | (spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_24)),
% 1.04/0.42 inference(forward_subsumption_resolution,[],[f1322,f713])).
% 1.04/0.42 thf(f1328,plain,(
% 1.04/0.42 (((sK4 @ (= @ sK11) @ sK6)) = sK11) | ($true = $false) | (spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_13 | ~spl10_24)),
% 1.04/0.42 inference(forward_demodulation,[],[f1327,f703])).
% 1.04/0.42 thf(f1329,plain,(
% 1.04/0.42 (((sK4 @ (= @ sK11) @ sK6)) = sK11) | (spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_13 | ~spl10_24)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f1328])).
% 1.04/0.42 thf(f1330,plain,(
% 1.04/0.42 spl10_26 | spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_13 | ~spl10_24),
% 1.04/0.42 inference(avatar_split_clause,[],[f1329,f898,f701,f57,f46,f42,f928])).
% 1.04/0.42 thf(f1352,plain,(
% 1.04/0.42 ( ! [X0 : a] : (($true != ((sK11 = X0))) | (((sK7 @ (sK3 @ (= @ sK11) @ sK7))) = $false) | ($true = ((sK5 @ X0))) | ($true != ((sK6 @ sK11)))) ) | (~spl10_4 | ~spl10_26)),
% 1.04/0.42 inference(superposition,[],[f770,f930])).
% 1.04/0.42 thf(f1355,plain,(
% 1.04/0.42 ( ! [X0 : a] : (($true != ((sK6 @ sK11))) | (sK11 != X0) | (((sK7 @ (sK3 @ (= @ sK11) @ sK7))) = $false) | ($true = ((sK5 @ X0)))) ) | (~spl10_4 | ~spl10_26)),
% 1.04/0.42 inference(equality_proxy_clausification,[],[f1352])).
% 1.04/0.42 thf(f1364,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((sK11 != X0) | ($true = ((sK5 @ X0))) | (((sK7 @ (sK3 @ (= @ sK11) @ sK7))) = $false)) ) | (spl10_3 | ~spl10_4 | ~spl10_8 | ~spl10_26)),
% 1.04/0.42 inference(forward_subsumption_resolution,[],[f1355,f714])).
% 1.04/0.42 thf(f1367,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((sK11 != X0) | ($true = ((sK5 @ X0))) | ($false = ((sK7 @ sK11)))) ) | (spl10_3 | ~spl10_4 | ~spl10_8 | ~spl10_24 | ~spl10_26)),
% 1.04/0.42 inference(forward_demodulation,[],[f1364,f900])).
% 1.04/0.42 thf(f1369,plain,(
% 1.04/0.42 ( ! [X0 : a] : ((sK11 != X0) | ($true = ((sK5 @ X0))) | ($true = $false)) ) | (spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_8 | ~spl10_24 | ~spl10_26)),
% 1.04/0.42 inference(forward_demodulation,[],[f1367,f713])).
% 1.04/0.42 thf(f1370,plain,(
% 1.04/0.42 ( ! [X0 : a] : (($true = ((sK5 @ X0))) | (sK11 != X0)) ) | (spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_8 | ~spl10_24 | ~spl10_26)),
% 1.04/0.42 inference(trivial_inequality_removal,[],[f1369])).
% 1.04/0.42 thf(f1371,plain,(
% 1.04/0.42 spl10_23 | spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_8 | ~spl10_24 | ~spl10_26),
% 1.04/0.42 inference(avatar_split_clause,[],[f1370,f928,f898,f67,f57,f46,f42,f895])).
% 1.04/0.42 cnf(s1, plain, ~spl10_1 | spl10_2 | ~spl10_3 | ~spl10_4, inference(sat_conversion,[],[f49])).
% 1.04/0.42 cnf(s2, plain, spl10_3 | spl10_4, inference(sat_conversion,[],[f50])).
% 1.04/0.42 cnf(s3, plain, ~spl10_1 | ~spl10_3 | ~spl10_4 | ~spl10_5, inference(sat_conversion,[],[f55])).
% 1.04/0.42 cnf(s4, plain, spl10_3 | spl10_6, inference(sat_conversion,[],[f59])).
% 1.04/0.42 cnf(s5, plain, spl10_2 | ~spl10_3 | ~spl10_4 | spl10_7, inference(sat_conversion,[],[f64])).
% 1.04/0.42 cnf(s6, plain, ~spl10_3 | ~spl10_4 | ~spl10_5 | spl10_7, inference(sat_conversion,[],[f65])).
% 1.04/0.42 cnf(s7, plain, spl10_3 | spl10_8, inference(sat_conversion,[],[f69])).
% 1.04/0.42 cnf(s10, plain, ~spl10_3 | spl10_4, inference(sat_conversion,[],[f600])).
% 1.04/0.42 cnf(s13, plain, spl10_1 | ~spl10_3 | ~spl10_7, inference(sat_conversion,[],[f618])).
% 1.04/0.42 cnf(s17, plain, ~spl10_2 | ~spl10_3 | spl10_5, inference(sat_conversion,[],[f650])).
% 1.04/0.42 cnf(s21, plain, spl10_3 | spl10_13 | spl10_14 | spl10_15, inference(sat_conversion,[],[f712])).
% 1.04/0.42 cnf(s25, plain, spl10_3 | ~spl10_4 | ~spl10_8 | ~spl10_13 | spl10_23 | spl10_24, inference(sat_conversion,[],[f901])).
% 1.04/0.42 cnf(s29, plain, ~spl10_13 | ~spl10_23, inference(sat_conversion,[],[f946])).
% 1.04/0.42 cnf(s31, plain, spl10_3 | ~spl10_6 | ~spl10_15, inference(sat_conversion,[],[f960])).
% 1.04/0.42 cnf(s35, plain, spl10_3 | ~spl10_8 | ~spl10_14, inference(sat_conversion,[],[f981])).
% 1.04/0.42 cnf(s46, plain, spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_13 | ~spl10_24 | spl10_26, inference(sat_conversion,[],[f1330])).
% 1.04/0.42 cnf(s47, plain, spl10_3 | ~spl10_4 | ~spl10_6 | ~spl10_8 | spl10_23 | ~spl10_24 | ~spl10_26, inference(sat_conversion,[],[f1371])).
% 1.04/0.42 cnf(s48, plain, spl10_3, inference(rat,[],[s47,s46,s25,s29,s21,s31,s35,s2,s4,s7])).
% 1.04/0.42 cnf(s49, plain, spl10_4, inference(rat,[],[s10,s48])).
% 1.04/0.42 cnf(s50, plain, spl10_7, inference(rat,[],[s17,s5,s6,s48,s49])).
% 1.04/0.42 cnf(s51, plain, spl10_1, inference(rat,[],[s13,s48,s50])).
% 1.04/0.42 cnf(s52, plain, ~spl10_5, inference(rat,[],[s3,s49,s48,s51])).
% 1.04/0.42 cnf(s53, plain, spl10_2, inference(rat,[],[s1,s49,s48,s51])).
% 1.04/0.42 cnf(s55, plain, $false, inference(rat,[],[s17,s48,s53,s52])).
% 1.04/0.42 thf(f1372,plain,(
% 1.04/0.42 $false),
% 1.04/0.42 inference(avatar_sat_refutation,[],[s55])).
% 1.04/0.42 % SZS output end Proof for theBenchmark
% 1.04/0.42 % (775708)------------------------------
% 1.04/0.42 % (775708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (775708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (775708)CaDiCaL version: 2.1.3
% 1.04/0.42 % (775708)Termination reason: Refutation
% 1.04/0.42 % (775708)Time elapsed: 0.060 s
% 1.04/0.42 % (775708)Peak memory usage: 13 MB
% 1.04/0.42 % (775708)Instructions burned: 97 (million)
% 1.04/0.42 % (775668)Success in time 0.196 s
% 1.04/0.42 % Vampire exiting
%------------------------------------------------------------------------------