%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU904^5 : 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 : n016.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 08:31:55 AM UTC 2026
% Result : Theorem 0.86s 0.38s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU904^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 14:49:34 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.23 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
% 0.21/0.37 % (445435)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.37 % (445440)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1259358388:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.37 % (445446)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.37 % (445446)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
% 0.21/0.37 % (445444)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3156582088:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.37 % (445441)lrs+10_16_si=on:nwc=1.5:random_seed=876493825:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (445442)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1769205024:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.37 % (445443)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=3960036851: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)
% 0.21/0.37 % (445445)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3930078593:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.37 % (445446)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=1399016138:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.37 % (445442)Instruction limit reached!
% 0.21/0.37 % (445442)------------------------------
% 0.21/0.37 % (445442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (445442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (445442)CaDiCaL version: 2.1.3
% 0.21/0.37 % (445442)Termination reason: Instruction limit
% 0.21/0.37 % (445442)Termination phase: Saturation
% 0.21/0.37 % (445442)Time elapsed: 0.002 s
% 0.21/0.37 % (445442)Peak memory usage: 11 MB
% 0.21/0.37 % (445442)Instructions burned: 4 (million)
% 0.21/0.37 % (445441)Instruction limit reached!
% 0.21/0.37 % (445441)------------------------------
% 0.21/0.37 % (445441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (445441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (445441)CaDiCaL version: 2.1.3
% 0.21/0.37 % (445441)Termination reason: Instruction limit
% 0.21/0.37 % (445441)Termination phase: Saturation
% 0.21/0.37 % (445441)Time elapsed: 0.011 s
% 0.21/0.37 % (445441)Peak memory usage: 12 MB
% 0.21/0.37 % (445441)Instructions burned: 20 (million)
% 0.21/0.37 % (445444)Instruction limit reached!
% 0.21/0.37 % (445444)------------------------------
% 0.21/0.37 % (445444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (445444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (445444)CaDiCaL version: 2.1.3
% 0.21/0.37 % (445444)Termination reason: Instruction limit
% 0.21/0.37 % (445444)Termination phase: Saturation
% 0.21/0.37 % (445444)Time elapsed: 0.014 s
% 0.21/0.37 % (445444)Peak memory usage: 12 MB
% 0.21/0.37 % (445444)Instructions burned: 25 (million)
% 0.21/0.37 % (445440)Instruction limit reached!
% 0.21/0.37 % (445440)------------------------------
% 0.21/0.37 % (445440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (445440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (445440)CaDiCaL version: 2.1.3
% 0.21/0.37 % (445440)Termination reason: Instruction limit
% 0.21/0.37 % (445440)Termination phase: Saturation
% 0.21/0.37 % (445440)Time elapsed: 0.024 s
% 0.21/0.37 % (445440)Peak memory usage: 13 MB
% 0.21/0.37 % (445440)Instructions burned: 98 (million)
% 0.21/0.37 % (445454)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4098174892:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (445454)Instruction limit reached!
% 0.21/0.37 % (445454)------------------------------
% 0.21/0.37 % (445454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (445454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445454)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445454)Termination reason: Instruction limit
% 0.86/0.38 % (445454)Termination phase: Saturation
% 0.86/0.38 % (445454)Time elapsed: 0.003 s
% 0.86/0.38 % (445454)Peak memory usage: 12 MB
% 0.86/0.38 % (445454)Instructions burned: 5 (million)
% 0.86/0.38 % (445457)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3261730147:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.38 % (445456)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.38 % (445455)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3220018779:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.38 % (445457)Instruction limit reached!
% 0.86/0.38 % (445457)------------------------------
% 0.86/0.38 % (445457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445457)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445457)Termination reason: Instruction limit
% 0.86/0.38 % (445457)Termination phase: Saturation
% 0.86/0.38 % (445457)Time elapsed: 0.004 s
% 0.86/0.38 % (445457)Peak memory usage: 12 MB
% 0.86/0.38 % (445457)Instructions burned: 13 (million)
% 0.86/0.38 % (445456)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=615806616:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.38 % (445455)Instruction limit reached!
% 0.86/0.38 % (445455)------------------------------
% 0.86/0.38 % (445455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445455)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445455)Termination reason: Instruction limit
% 0.86/0.38 % (445455)Termination phase: Saturation
% 0.86/0.38 % (445455)Time elapsed: 0.004 s
% 0.86/0.38 % (445455)Peak memory usage: 12 MB
% 0.86/0.38 % (445455)Instructions burned: 6 (million)
% 0.86/0.38 % (445456)Instruction limit reached!
% 0.86/0.38 % (445456)------------------------------
% 0.86/0.38 % (445456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445456)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445456)Termination reason: Instruction limit
% 0.86/0.38 % (445456)Termination phase: Saturation
% 0.86/0.38 % (445456)Time elapsed: 0.004 s
% 0.86/0.38 % (445456)Peak memory usage: 12 MB
% 0.86/0.38 % (445456)Instructions burned: 8 (million)
% 0.86/0.38 % (445445)Instruction limit reached!
% 0.86/0.38 % (445445)------------------------------
% 0.86/0.38 % (445445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445445)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445445)Termination reason: Instruction limit
% 0.86/0.38 % (445445)Termination phase: Saturation
% 0.86/0.38 % (445445)Time elapsed: 0.041 s
% 0.86/0.38 % (445445)Peak memory usage: 13 MB
% 0.86/0.38 % (445445)Instructions burned: 76 (million)
% 0.86/0.38 % (445460)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
% 0.86/0.38 % (445460)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.38 % (445462)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=4238492075:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.38 % (445460)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1769912388:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.38 % (445465)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.86/0.38 % (445464)lrs+10_1_si=on:cs=on:random_seed=2497595778:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.38 % (445465)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=1852419081:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.38 % (445460)Instruction limit reached!
% 0.86/0.38 % (445460)------------------------------
% 0.86/0.38 % (445460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445460)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445460)Termination reason: Instruction limit
% 0.86/0.38 % (445460)Termination phase: Saturation
% 0.86/0.38 % (445460)Time elapsed: 0.013 s
% 0.86/0.38 % (445460)Peak memory usage: 12 MB
% 0.86/0.38 % (445460)Instructions burned: 30 (million)
% 0.86/0.38 % (445464)Instruction limit reached!
% 0.86/0.38 % (445464)------------------------------
% 0.86/0.38 % (445464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445464)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445464)Termination reason: Instruction limit
% 0.86/0.38 % (445464)Termination phase: Saturation
% 0.86/0.38 % (445464)Time elapsed: 0.005 s
% 0.86/0.38 % (445464)Peak memory usage: 12 MB
% 0.86/0.38 % (445464)Instructions burned: 9 (million)
% 0.86/0.38 % (445465)Instruction limit reached!
% 0.86/0.38 % (445465)------------------------------
% 0.86/0.38 % (445465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445465)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445465)Termination reason: Instruction limit
% 0.86/0.38 % (445465)Termination phase: Saturation
% 0.86/0.38 % (445465)Time elapsed: 0.004 s
% 0.86/0.38 % (445465)Peak memory usage: 12 MB
% 0.86/0.38 % (445465)Instructions burned: 7 (million)
% 0.86/0.38 % (445467)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=232642708:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.86/0.38 % (445462)Instruction limit reached!
% 0.86/0.38 % (445462)------------------------------
% 0.86/0.38 % (445462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445462)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445462)Termination reason: Instruction limit
% 0.86/0.38 % (445462)Termination phase: Saturation
% 0.86/0.38 % (445462)Time elapsed: 0.024 s
% 0.86/0.38 % (445462)Peak memory usage: 13 MB
% 0.86/0.38 % (445462)Instructions burned: 87 (million)
% 0.86/0.38 % (445475)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2451861819:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.86/0.38 % (445473)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=690234662:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.86/0.38 % (445471)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2035554522:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.86/0.38 % (445474)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4279325429:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.86/0.38 % (445467)Instruction limit reached!
% 0.86/0.38 % (445467)------------------------------
% 0.86/0.38 % (445467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445467)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445467)Termination reason: Instruction limit
% 0.86/0.38 % (445467)Termination phase: Saturation
% 0.86/0.38 % (445467)Time elapsed: 0.021 s
% 0.86/0.38 % (445467)Peak memory usage: 13 MB
% 0.86/0.38 % (445467)Instructions burned: 39 (million)
% 0.86/0.38 % (445474)Instruction limit reached!
% 0.86/0.38 % (445474)------------------------------
% 0.86/0.38 % (445474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (445474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (445474)CaDiCaL version: 2.1.3
% 0.86/0.38 % (445474)Termination reason: Instruction limit
% 0.86/0.38 % (445474)Termination phase: Saturation
% 0.86/0.38 % (445474)Time elapsed: 0.009 s
% 0.86/0.38 % (445474)Peak memory usage: 12 MB
% 0.86/0.38 % (445474)Instructions burned: 16 (million)
% 0.86/0.38 % (445473) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-445435-445473"...
% 0.86/0.38 % (445475) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-445435-445475"...
% 0.86/0.38 % (445475)...printing done.
% 0.86/0.38 % (445473)...printing done.
% 0.86/0.38 % (445475)Refutation found. Thanks to Tanya!
% 0.86/0.38 % SZS status Theorem for theBenchmark
% 0.86/0.38 % SZS output start Proof for theBenchmark
% 0.86/0.38 thf(type_def_5, type, g: $tType).
% 0.86/0.38 thf(type_def_6, type, b: $tType).
% 0.86/0.38 thf(type_def_7, type, a: $tType).
% 0.86/0.38 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.86/0.38 thf(func_def_3, type, sP0: ((a > a > a) > (a > $o) > $o)).
% 0.86/0.38 thf(func_def_4, type, sP1: ((g > g > g) > (g > $o) > $o)).
% 0.86/0.38 thf(func_def_5, type, sK2: ((g > g > g) > (g > $o) > g)).
% 0.86/0.38 thf(func_def_6, type, sK3: ((g > g > g) > (g > $o) > g)).
% 0.86/0.38 thf(func_def_7, type, sK4: ((a > a > a) > (a > $o) > a)).
% 0.86/0.38 thf(func_def_8, type, sK5: ((a > a > a) > (a > $o) > a)).
% 0.86/0.38 thf(func_def_9, type, sK6: (a > $o)).
% 0.86/0.38 thf(func_def_10, type, sK7: (g > $o)).
% 0.86/0.38 thf(func_def_11, type, sK8: (g > b)).
% 0.86/0.38 thf(func_def_12, type, sK9: (b > $o)).
% 0.86/0.38 thf(func_def_13, type, sK10: (g > g > g)).
% 0.86/0.38 thf(func_def_14, type, sK11: (a > a > a)).
% 0.86/0.38 thf(func_def_15, type, sK12: (b > b > b)).
% 0.86/0.38 thf(func_def_16, type, sK13: (b > a)).
% 0.86/0.38 thf(func_def_17, type, sK14: g).
% 0.86/0.38 thf(func_def_18, type, sK15: g).
% 0.86/0.38 thf(func_def_19, type, sK16: g).
% 0.86/0.38 thf(func_def_20, type, vNOT: ($o > $o)).
% 0.86/0.38 thf(func_def_22, type, db0: !>[X0: $tType]:(X0)).
% 0.86/0.38 thf(func_def_23, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.86/0.38 thf(f1,conjecture,(
% 0.86/0.38 ! [X3 : (g > g > g),X0 : (g > b),X1 : (b > a),X7 : (a > a > a),X6 : (a > $o),X5 : (b > b > b),X2 : (g > $o),X4 : (b > $o)] : ((! [X8 : g] : ((X2 @ X8) => (X4 @ (X0 @ X8))) & ! [X8 : b] : ((X4 @ X8) => (X6 @ (X1 @ X8))) & ! [X9 : a,X8 : a] : (((X6 @ X9) & (X6 @ X8)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (((X0 @ (X3 @ X8 @ X9))) = ((X5 @ (X0 @ X8) @ (X0 @ X9))))) & ! [X9 : g,X8 : g] : (((X2 @ X8) & (X2 @ X9)) => (X2 @ (X3 @ X8 @ X9))) & ! [X9 : b,X8 : b] : (((X4 @ X8) & (X4 @ X9)) => (X4 @ (X5 @ X8 @ X9))) & ! [X9 : b,X8 : b] : (((X4 @ X9) & (X4 @ X8)) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X9 : b,X8 : b] : (((X4 @ X9) & (X4 @ X8)) => (X4 @ (X5 @ X8 @ X9)))) => (! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9))) & ! [X8 : a,X9 : a] : (((X6 @ X8) & (X6 @ X9)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : g] : ((X2 @ X8) => (X6 @ (X1 @ (X0 @ X8)))) & ! [X9 : g,X8 : g] : (((X2 @ X9) & (X2 @ X8)) => (((X1 @ (X0 @ (X3 @ X8 @ X9)))) = ((X7 @ (X1 @ (X0 @ X8)) @ (X1 @ (X0 @ X9))))))))),
% 0.86/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM126_pme)).
% 0.86/0.38 thf(f2,negated_conjecture,(
% 0.86/0.38 ~ ! [X3 : (g > g > g),X0 : (g > b),X1 : (b > a),X7 : (a > a > a),X6 : (a > $o),X5 : (b > b > b),X2 : (g > $o),X4 : (b > $o)] : ((! [X8 : g] : ((X2 @ X8) => (X4 @ (X0 @ X8))) & ! [X8 : b] : ((X4 @ X8) => (X6 @ (X1 @ X8))) & ! [X9 : a,X8 : a] : (((X6 @ X9) & (X6 @ X8)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (((X0 @ (X3 @ X8 @ X9))) = ((X5 @ (X0 @ X8) @ (X0 @ X9))))) & ! [X9 : g,X8 : g] : (((X2 @ X8) & (X2 @ X9)) => (X2 @ (X3 @ X8 @ X9))) & ! [X9 : b,X8 : b] : (((X4 @ X8) & (X4 @ X9)) => (X4 @ (X5 @ X8 @ X9))) & ! [X9 : b,X8 : b] : (((X4 @ X9) & (X4 @ X8)) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X9 : b,X8 : b] : (((X4 @ X9) & (X4 @ X8)) => (X4 @ (X5 @ X8 @ X9)))) => (! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9))) & ! [X8 : a,X9 : a] : (((X6 @ X8) & (X6 @ X9)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : g] : ((X2 @ X8) => (X6 @ (X1 @ (X0 @ X8)))) & ! [X9 : g,X8 : g] : (((X2 @ X9) & (X2 @ X8)) => (((X1 @ (X0 @ (X3 @ X8 @ X9)))) = ((X7 @ (X1 @ (X0 @ X8)) @ (X1 @ (X0 @ X9))))))))),
% 0.86/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.86/0.38 thf(f3,plain,(
% 0.86/0.38 ~ ! [X0 : (g > g > g),X1 : (g > b),X2 : (b > a),X3 : (a > a > a),X4 : (a > $o),X5 : (b > b > b),X6 : (g > $o),X7 : (b > $o)] : ((! [X8 : g] : ((X6 @ X8) => (X7 @ (X1 @ X8))) & ! [X9 : b] : ((X7 @ X9) => (X4 @ (X2 @ X9))) & ! [X10 : a,X11 : a] : (((X4 @ X10) & (X4 @ X11)) => (X4 @ (X3 @ X11 @ X10))) & ! [X12 : g,X13 : g] : (((X6 @ X13) & (X6 @ X12)) => (((X1 @ (X0 @ X12 @ X13))) = ((X5 @ (X1 @ X12) @ (X1 @ X13))))) & ! [X14 : g,X15 : g] : (((X6 @ X15) & (X6 @ X14)) => (X6 @ (X0 @ X15 @ X14))) & ! [X16 : b,X17 : b] : (((X7 @ X17) & (X7 @ X16)) => (X7 @ (X5 @ X17 @ X16))) & ! [X18 : b,X19 : b] : (((X7 @ X18) & (X7 @ X19)) => (((X2 @ (X5 @ X19 @ X18))) = ((X3 @ (X2 @ X19) @ (X2 @ X18))))) & ! [X20 : b,X21 : b] : (((X7 @ X20) & (X7 @ X21)) => (X7 @ (X5 @ X21 @ X20)))) => (! [X22 : g,X23 : g] : (((X6 @ X23) & (X6 @ X22)) => (X6 @ (X0 @ X22 @ X23))) & ! [X24 : a,X25 : a] : (((X4 @ X24) & (X4 @ X25)) => (X4 @ (X3 @ X24 @ X25))) & ! [X26 : g] : ((X6 @ X26) => (X4 @ (X2 @ (X1 @ X26)))) & ! [X27 : g,X28 : g] : (((X6 @ X27) & (X6 @ X28)) => (((X3 @ (X2 @ (X1 @ X28)) @ (X2 @ (X1 @ X27)))) = ((X2 @ (X1 @ (X0 @ X28 @ X27))))))))),
% 0.86/0.38 inference(rectify,[],[f2])).
% 0.86/0.38 thf(f4,plain,(
% 0.86/0.38 ~ ! [X2 : (b > a),X4 : (a > $o),X1 : (g > b),X3 : (a > a > a),X6 : (g > $o),X5 : (b > b > b),X7 : (b > $o),X0 : (g > g > g)] : ((! [X14 : g,X15 : g] : ((($true = ((X6 @ X14))) & (((X6 @ X15)) = $true)) => (((X6 @ (X0 @ X15 @ X14))) = $true)) & ! [X9 : b] : (($true = ((X7 @ X9))) => (((X4 @ (X2 @ X9))) = $true)) & ! [X8 : g] : ((((X6 @ X8)) = $true) => ($true = ((X7 @ (X1 @ X8))))) & ! [X19 : b,X18 : b] : ((($true = ((X7 @ X19))) & (((X7 @ X18)) = $true)) => (((X2 @ (X5 @ X19 @ X18))) = ((X3 @ (X2 @ X19) @ (X2 @ X18))))) & ! [X17 : b,X16 : b] : ((($true = ((X7 @ X17))) & ($true = ((X7 @ X16)))) => ($true = ((X7 @ (X5 @ X17 @ X16))))) & ! [X13 : g,X12 : g] : (((((X6 @ X12)) = $true) & ($true = ((X6 @ X13)))) => (((X1 @ (X0 @ X12 @ X13))) = ((X5 @ (X1 @ X12) @ (X1 @ X13))))) & ! [X20 : b,X21 : b] : ((($true = ((X7 @ X20))) & (((X7 @ X21)) = $true)) => (((X7 @ (X5 @ X21 @ X20))) = $true)) & ! [X10 : a,X11 : a] : ((($true = ((X4 @ X11))) & ($true = ((X4 @ X10)))) => (((X4 @ (X3 @ X11 @ X10))) = $true))) => (! [X28 : g,X27 : g] : ((($true = ((X6 @ X28))) & (((X6 @ X27)) = $true)) => (((X3 @ (X2 @ (X1 @ X28)) @ (X2 @ (X1 @ X27)))) = ((X2 @ (X1 @ (X0 @ X28 @ X27)))))) & ! [X26 : g] : ((((X6 @ X26)) = $true) => (((X4 @ (X2 @ (X1 @ X26)))) = $true)) & ! [X22 : g,X23 : g] : (((((X6 @ X23)) = $true) & ($true = ((X6 @ X22)))) => (((X6 @ (X0 @ X22 @ X23))) = $true)) & ! [X24 : a,X25 : a] : ((($true = ((X4 @ X25))) & (((X4 @ X24)) = $true)) => (((X4 @ (X3 @ X24 @ X25))) = $true))))),
% 0.86/0.38 inference(fool_elimination,[],[f3])).
% 0.86/0.38 thf(f5,plain,(
% 0.86/0.38 ? [X2 : (b > a),X4 : (a > $o),X1 : (g > b),X3 : (a > a > a),X6 : (g > $o),X5 : (b > b > b),X7 : (b > $o),X0 : (g > g > g)] : ((? [X28 : g,X27 : g] : ((((X3 @ (X2 @ (X1 @ X28)) @ (X2 @ (X1 @ X27)))) != ((X2 @ (X1 @ (X0 @ X28 @ X27))))) & (($true = ((X6 @ X28))) & (((X6 @ X27)) = $true))) | ? [X26 : g] : ((((X6 @ X26)) = $true) & (((X4 @ (X2 @ (X1 @ X26)))) != $true)) | ? [X22 : g,X23 : g] : ((((X6 @ (X0 @ X22 @ X23))) != $true) & ((((X6 @ X23)) = $true) & ($true = ((X6 @ X22))))) | ? [X24 : a,X25 : a] : ((((X4 @ (X3 @ X24 @ X25))) != $true) & (($true = ((X4 @ X25))) & (((X4 @ X24)) = $true)))) & (! [X14 : g,X15 : g] : ((((X6 @ (X0 @ X15 @ X14))) = $true) | (($true != ((X6 @ X14))) | (((X6 @ X15)) != $true))) & ! [X9 : b] : (($true != ((X7 @ X9))) | (((X4 @ (X2 @ X9))) = $true)) & ! [X8 : g] : (($true = ((X7 @ (X1 @ X8)))) | (((X6 @ X8)) != $true)) & ! [X19 : b,X18 : b] : ((((X2 @ (X5 @ X19 @ X18))) = ((X3 @ (X2 @ X19) @ (X2 @ X18)))) | (($true != ((X7 @ X19))) | (((X7 @ X18)) != $true))) & ! [X17 : b,X16 : b] : (($true = ((X7 @ (X5 @ X17 @ X16)))) | (($true != ((X7 @ X17))) | ($true != ((X7 @ X16))))) & ! [X13 : g,X12 : g] : ((((X1 @ (X0 @ X12 @ X13))) = ((X5 @ (X1 @ X12) @ (X1 @ X13)))) | ((((X6 @ X12)) != $true) | ($true != ((X6 @ X13))))) & ! [X20 : b,X21 : b] : ((((X7 @ (X5 @ X21 @ X20))) = $true) | (($true != ((X7 @ X20))) | (((X7 @ X21)) != $true))) & ! [X10 : a,X11 : a] : ((((X4 @ (X3 @ X11 @ X10))) = $true) | (($true != ((X4 @ X11))) | ($true != ((X4 @ X10)))))))),
% 0.86/0.38 inference(ennf_transformation,[],[f4])).
% 0.86/0.38 thf(f6,plain,(
% 0.86/0.38 ? [X4 : (a > $o),X6 : (g > $o),X1 : (g > b),X7 : (b > $o),X0 : (g > g > g),X3 : (a > a > a),X5 : (b > b > b),X2 : (b > a)] : (! [X19 : b,X18 : b] : (($true != ((X7 @ X19))) | (((X7 @ X18)) != $true) | (((X2 @ (X5 @ X19 @ X18))) = ((X3 @ (X2 @ X19) @ (X2 @ X18))))) & ! [X15 : g,X14 : g] : ((((X6 @ X15)) != $true) | (((X6 @ (X0 @ X15 @ X14))) = $true) | ($true != ((X6 @ X14)))) & ! [X8 : g] : (($true = ((X7 @ (X1 @ X8)))) | (((X6 @ X8)) != $true)) & ! [X21 : b,X20 : b] : ((((X7 @ X21)) != $true) | ($true != ((X7 @ X20))) | (((X7 @ (X5 @ X21 @ X20))) = $true)) & ! [X11 : a,X10 : a] : (($true != ((X4 @ X10))) | ($true != ((X4 @ X11))) | (((X4 @ (X3 @ X11 @ X10))) = $true)) & ! [X17 : b,X16 : b] : (($true != ((X7 @ X17))) | ($true != ((X7 @ X16))) | ($true = ((X7 @ (X5 @ X17 @ X16))))) & ! [X9 : b] : (($true != ((X7 @ X9))) | (((X4 @ (X2 @ X9))) = $true)) & (? [X26 : g] : ((((X6 @ X26)) = $true) & (((X4 @ (X2 @ (X1 @ X26)))) != $true)) | ? [X27 : g,X28 : g] : ((((X3 @ (X2 @ (X1 @ X28)) @ (X2 @ (X1 @ X27)))) != ((X2 @ (X1 @ (X0 @ X28 @ X27))))) & (((X6 @ X27)) = $true) & ($true = ((X6 @ X28)))) | ? [X22 : g,X23 : g] : (($true = ((X6 @ X22))) & (((X6 @ (X0 @ X22 @ X23))) != $true) & (((X6 @ X23)) = $true)) | ? [X25 : a,X24 : a] : ((((X4 @ X24)) = $true) & (((X4 @ (X3 @ X24 @ X25))) != $true) & ($true = ((X4 @ X25))))) & ! [X13 : g,X12 : g] : ((((X1 @ (X0 @ X12 @ X13))) = ((X5 @ (X1 @ X12) @ (X1 @ X13)))) | (((X6 @ X12)) != $true) | ($true != ((X6 @ X13)))))),
% 0.86/0.38 inference(flattening,[],[f5])).
% 0.86/0.38 thf(f7,definition,(
% 0.86/0.38 ! [X4 : (a > $o),X3 : (a > a > a)] : (? [X25 : a,X24 : a] : ((((X4 @ X24)) = $true) & (((X4 @ (X3 @ X24 @ X25))) != $true) & ($true = ((X4 @ X25)))) | ~ (((sP0 @ X3 @ X4)) = $true))),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 0.86/0.38 thf(f8,definition,(
% 0.86/0.38 ! [X6 : (g > $o),X0 : (g > g > g)] : (? [X22 : g,X23 : g] : (($true = ((X6 @ X22))) & (((X6 @ (X0 @ X22 @ X23))) != $true) & (((X6 @ X23)) = $true)) | ~ ($true = ((sP1 @ X0 @ X6))))),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 0.86/0.38 thf(f9,plain,(
% 0.86/0.38 ? [X4 : (a > $o),X6 : (g > $o),X1 : (g > b),X7 : (b > $o),X0 : (g > g > g),X3 : (a > a > a),X5 : (b > b > b),X2 : (b > a)] : (! [X19 : b,X18 : b] : (($true != ((X7 @ X19))) | (((X7 @ X18)) != $true) | (((X2 @ (X5 @ X19 @ X18))) = ((X3 @ (X2 @ X19) @ (X2 @ X18))))) & ! [X15 : g,X14 : g] : ((((X6 @ X15)) != $true) | (((X6 @ (X0 @ X15 @ X14))) = $true) | ($true != ((X6 @ X14)))) & ! [X8 : g] : (($true = ((X7 @ (X1 @ X8)))) | (((X6 @ X8)) != $true)) & ! [X21 : b,X20 : b] : ((((X7 @ X21)) != $true) | ($true != ((X7 @ X20))) | (((X7 @ (X5 @ X21 @ X20))) = $true)) & ! [X11 : a,X10 : a] : (($true != ((X4 @ X10))) | ($true != ((X4 @ X11))) | (((X4 @ (X3 @ X11 @ X10))) = $true)) & ! [X17 : b,X16 : b] : (($true != ((X7 @ X17))) | ($true != ((X7 @ X16))) | ($true = ((X7 @ (X5 @ X17 @ X16))))) & ! [X9 : b] : (($true != ((X7 @ X9))) | (((X4 @ (X2 @ X9))) = $true)) & (? [X26 : g] : ((((X6 @ X26)) = $true) & (((X4 @ (X2 @ (X1 @ X26)))) != $true)) | ? [X27 : g,X28 : g] : ((((X3 @ (X2 @ (X1 @ X28)) @ (X2 @ (X1 @ X27)))) != ((X2 @ (X1 @ (X0 @ X28 @ X27))))) & (((X6 @ X27)) = $true) & ($true = ((X6 @ X28)))) | ($true = ((sP1 @ X0 @ X6))) | (((sP0 @ X3 @ X4)) = $true)) & ! [X13 : g,X12 : g] : ((((X1 @ (X0 @ X12 @ X13))) = ((X5 @ (X1 @ X12) @ (X1 @ X13)))) | (((X6 @ X12)) != $true) | ($true != ((X6 @ X13)))))),
% 0.86/0.38 inference(definition_folding,[],[f6,f8,f7])).
% 0.86/0.38 thf(f10,plain,(
% 0.86/0.38 ! [X6 : (g > $o),X0 : (g > g > g)] : (? [X22 : g,X23 : g] : (($true = ((X6 @ X22))) & (((X6 @ (X0 @ X22 @ X23))) != $true) & (((X6 @ X23)) = $true)) | ($true != ((sP1 @ X0 @ X6))))),
% 0.86/0.38 inference(nnf_transformation,[],[f8])).
% 0.86/0.38 thf(f11,plain,(
% 0.86/0.38 ! [X0 : (g > $o),X1 : (g > g > g)] : (? [X2 : g,X3 : g] : (($true = ((X0 @ X2))) & ($true != ((X0 @ (X1 @ X2 @ X3)))) & ($true = ((X0 @ X3)))) | ($true != ((sP1 @ X1 @ X0))))),
% 0.86/0.38 inference(rectify,[],[f10])).
% 0.86/0.38 thf(f12,plain,(
% 0.86/0.38 ! [X0 : (g > $o),X1 : (g > g > g)] : (((((X0 @ (sK2 @ X1 @ X0))) = $true) & (((X0 @ (X1 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0)))) != $true) & ($true = ((X0 @ (sK3 @ X1 @ X0))))) | ($true != ((sP1 @ X1 @ X0))))),
% 0.86/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f11])).
% 0.86/0.38 thf(f13,plain,(
% 0.86/0.38 ! [X4 : (a > $o),X3 : (a > a > a)] : (? [X25 : a,X24 : a] : ((((X4 @ X24)) = $true) & (((X4 @ (X3 @ X24 @ X25))) != $true) & ($true = ((X4 @ X25)))) | (((sP0 @ X3 @ X4)) != $true))),
% 0.86/0.38 inference(nnf_transformation,[],[f7])).
% 0.86/0.38 thf(f14,plain,(
% 0.86/0.38 ! [X0 : (a > $o),X1 : (a > a > a)] : (? [X2 : a,X3 : a] : (($true = ((X0 @ X3))) & ($true != ((X0 @ (X1 @ X3 @ X2)))) & ($true = ((X0 @ X2)))) | (((sP0 @ X1 @ X0)) != $true))),
% 0.86/0.38 inference(rectify,[],[f13])).
% 0.86/0.38 thf(f15,plain,(
% 0.86/0.38 ! [X0 : (a > $o),X1 : (a > a > a)] : (((((X0 @ (sK5 @ X1 @ X0))) = $true) & (((X0 @ (X1 @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0)))) != $true) & (((X0 @ (sK4 @ X1 @ X0))) = $true)) | (((sP0 @ X1 @ X0)) != $true))),
% 0.86/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f14])).
% 0.86/0.38 thf(f16,plain,(
% 0.86/0.38 ? [X0 : (a > $o),X1 : (g > $o),X2 : (g > b),X3 : (b > $o),X4 : (g > g > g),X5 : (a > a > a),X6 : (b > b > b),X7 : (b > a)] : (! [X8 : b,X9 : b] : ((((X3 @ X8)) != $true) | (((X3 @ X9)) != $true) | (((X5 @ (X7 @ X8) @ (X7 @ X9))) = ((X7 @ (X6 @ X8 @ X9))))) & ! [X10 : g,X11 : g] : ((((X1 @ X10)) != $true) | ($true = ((X1 @ (X4 @ X10 @ X11)))) | ($true != ((X1 @ X11)))) & ! [X12 : g] : ((((X3 @ (X2 @ X12))) = $true) | (((X1 @ X12)) != $true)) & ! [X13 : b,X14 : b] : (($true != ((X3 @ X13))) | ($true != ((X3 @ X14))) | (((X3 @ (X6 @ X13 @ X14))) = $true)) & ! [X15 : a,X16 : a] : ((((X0 @ X16)) != $true) | (((X0 @ X15)) != $true) | (((X0 @ (X5 @ X15 @ X16))) = $true)) & ! [X17 : b,X18 : b] : (($true != ((X3 @ X17))) | (((X3 @ X18)) != $true) | ($true = ((X3 @ (X6 @ X17 @ X18))))) & ! [X19 : b] : ((((X3 @ X19)) != $true) | ($true = ((X0 @ (X7 @ X19))))) & (? [X20 : g] : (($true = ((X1 @ X20))) & (((X0 @ (X7 @ (X2 @ X20)))) != $true)) | ? [X21 : g,X22 : g] : ((((X5 @ (X7 @ (X2 @ X22)) @ (X7 @ (X2 @ X21)))) != ((X7 @ (X2 @ (X4 @ X22 @ X21))))) & (((X1 @ X21)) = $true) & (((X1 @ X22)) = $true)) | (((sP1 @ X4 @ X1)) = $true) | (((sP0 @ X5 @ X0)) = $true)) & ! [X23 : g,X24 : g] : ((((X6 @ (X2 @ X24) @ (X2 @ X23))) = ((X2 @ (X4 @ X24 @ X23)))) | ($true != ((X1 @ X24))) | ($true != ((X1 @ X23)))))),
% 0.86/0.38 inference(rectify,[],[f9])).
% 0.86/0.38 thf(f17,plain,(
% 0.86/0.38 ! [X8 : b,X9 : b] : ((((sK9 @ X8)) != $true) | (((sK9 @ X9)) != $true) | (((sK13 @ (sK12 @ X8 @ X9))) = ((sK11 @ (sK13 @ X8) @ (sK13 @ X9))))) & ! [X10 : g,X11 : g] : ((((sK7 @ X10)) != $true) | ($true = ((sK7 @ (sK10 @ X10 @ X11)))) | ($true != ((sK7 @ X11)))) & ! [X12 : g] : (($true = ((sK9 @ (sK8 @ X12)))) | ($true != ((sK7 @ X12)))) & ! [X13 : b,X14 : b] : (($true != ((sK9 @ X13))) | ($true != ((sK9 @ X14))) | ($true = ((sK9 @ (sK12 @ X13 @ X14))))) & ! [X15 : a,X16 : a] : ((((sK6 @ X16)) != $true) | (((sK6 @ X15)) != $true) | (((sK6 @ (sK11 @ X15 @ X16))) = $true)) & ! [X17 : b,X18 : b] : (($true != ((sK9 @ X17))) | ($true != ((sK9 @ X18))) | (((sK9 @ (sK12 @ X17 @ X18))) = $true)) & ! [X19 : b] : ((((sK9 @ X19)) != $true) | (((sK6 @ (sK13 @ X19))) = $true)) & (((((sK7 @ sK14)) = $true) & (((sK6 @ (sK13 @ (sK8 @ sK14)))) != $true)) | ((((sK11 @ (sK13 @ (sK8 @ sK16)) @ (sK13 @ (sK8 @ sK15)))) != ((sK13 @ (sK8 @ (sK10 @ sK16 @ sK15))))) & ($true = ((sK7 @ sK15))) & ($true = ((sK7 @ sK16)))) | (((sP1 @ sK10 @ sK7)) = $true) | ($true = ((sP0 @ sK11 @ sK6)))) & ! [X23 : g,X24 : g] : ((((sK12 @ (sK8 @ X24) @ (sK8 @ X23))) = ((sK8 @ (sK10 @ X24 @ X23)))) | (((sK7 @ X24)) != $true) | (((sK7 @ X23)) != $true))),
% 0.86/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11),skolemize(X6,sK12),skolemize(X7,sK13),skolemize(X20,sK14),skolemize(X21,sK15),skolemize(X22,sK16)],[f16])).
% 0.86/0.38 thf(f18,plain,(
% 0.86/0.38 ( ! [X0 : (g > $o),X1 : (g > g > g)] : (($true != ((sP1 @ X1 @ X0))) | ($true = ((X0 @ (sK3 @ X1 @ X0))))) )),
% 0.86/0.38 inference(cnf_transformation,[],[f12])).
% 0.86/0.38 thf(f19,plain,(
% 0.86/0.38 ( ! [X0 : (g > $o),X1 : (g > g > g)] : ((((X0 @ (X1 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0)))) != $true) | ($true != ((sP1 @ X1 @ X0)))) )),
% 0.86/0.38 inference(cnf_transformation,[],[f12])).
% 0.86/0.38 thf(f20,plain,(
% 0.86/0.38 ( ! [X0 : (g > $o),X1 : (g > g > g)] : (($true != ((sP1 @ X1 @ X0))) | (((X0 @ (sK2 @ X1 @ X0))) = $true)) )),
% 0.86/0.38 inference(cnf_transformation,[],[f12])).
% 0.86/0.38 thf(f21,plain,(
% 0.86/0.38 ( ! [X0 : (a > $o),X1 : (a > a > a)] : ((((sP0 @ X1 @ X0)) != $true) | (((X0 @ (sK4 @ X1 @ X0))) = $true)) )),
% 0.86/0.38 inference(cnf_transformation,[],[f15])).
% 0.86/0.38 thf(f22,plain,(
% 0.86/0.38 ( ! [X0 : (a > $o),X1 : (a > a > a)] : ((((X0 @ (X1 @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0)))) != $true) | (((sP0 @ X1 @ X0)) != $true)) )),
% 0.86/0.38 inference(cnf_transformation,[],[f15])).
% 0.86/0.38 thf(f23,plain,(
% 0.86/0.38 ( ! [X0 : (a > $o),X1 : (a > a > a)] : ((((sP0 @ X1 @ X0)) != $true) | (((X0 @ (sK5 @ X1 @ X0))) = $true)) )),
% 0.86/0.38 inference(cnf_transformation,[],[f15])).
% 0.86/0.38 thf(f24,plain,(
% 0.86/0.38 ( ! [X24 : g,X23 : g] : ((((sK7 @ X24)) != $true) | (((sK12 @ (sK8 @ X24) @ (sK8 @ X23))) = ((sK8 @ (sK10 @ X24 @ X23)))) | (((sK7 @ X23)) != $true)) )),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f25,plain,(
% 0.86/0.38 ($true = ((sK7 @ sK16))) | (((sP1 @ sK10 @ sK7)) = $true) | (((sK6 @ (sK13 @ (sK8 @ sK14)))) != $true) | ($true = ((sP0 @ sK11 @ sK6)))),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f26,plain,(
% 0.86/0.38 (((sK6 @ (sK13 @ (sK8 @ sK14)))) != $true) | (((sP1 @ sK10 @ sK7)) = $true) | ($true = ((sP0 @ sK11 @ sK6))) | ($true = ((sK7 @ sK15)))),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f27,plain,(
% 0.86/0.38 (((sK6 @ (sK13 @ (sK8 @ sK14)))) != $true) | (((sP1 @ sK10 @ sK7)) = $true) | (((sK11 @ (sK13 @ (sK8 @ sK16)) @ (sK13 @ (sK8 @ sK15)))) != ((sK13 @ (sK8 @ (sK10 @ sK16 @ sK15))))) | ($true = ((sP0 @ sK11 @ sK6)))),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f28,plain,(
% 0.86/0.38 ($true = ((sP0 @ sK11 @ sK6))) | (((sP1 @ sK10 @ sK7)) = $true) | (((sK7 @ sK14)) = $true) | ($true = ((sK7 @ sK16)))),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f29,plain,(
% 0.86/0.38 ($true = ((sK7 @ sK15))) | (((sP1 @ sK10 @ sK7)) = $true) | ($true = ((sP0 @ sK11 @ sK6))) | (((sK7 @ sK14)) = $true)),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f30,plain,(
% 0.86/0.38 (((sK11 @ (sK13 @ (sK8 @ sK16)) @ (sK13 @ (sK8 @ sK15)))) != ((sK13 @ (sK8 @ (sK10 @ sK16 @ sK15))))) | (((sP1 @ sK10 @ sK7)) = $true) | (((sK7 @ sK14)) = $true) | ($true = ((sP0 @ sK11 @ sK6)))),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f31,plain,(
% 0.86/0.38 ( ! [X19 : b] : ((((sK9 @ X19)) != $true) | (((sK6 @ (sK13 @ X19))) = $true)) )),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f33,plain,(
% 0.86/0.38 ( ! [X16 : a,X15 : a] : ((((sK6 @ X16)) != $true) | (((sK6 @ (sK11 @ X15 @ X16))) = $true) | (((sK6 @ X15)) != $true)) )),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f35,plain,(
% 0.86/0.38 ( ! [X12 : g] : (($true != ((sK7 @ X12))) | ($true = ((sK9 @ (sK8 @ X12))))) )),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f36,plain,(
% 0.86/0.38 ( ! [X10 : g,X11 : g] : (($true != ((sK7 @ X11))) | (((sK7 @ X10)) != $true) | ($true = ((sK7 @ (sK10 @ X10 @ X11))))) )),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f37,plain,(
% 0.86/0.38 ( ! [X8 : b,X9 : b] : ((((sK9 @ X9)) != $true) | (((sK13 @ (sK12 @ X8 @ X9))) = ((sK11 @ (sK13 @ X8) @ (sK13 @ X9)))) | (((sK9 @ X8)) != $true)) )),
% 0.86/0.38 inference(cnf_transformation,[],[f17])).
% 0.86/0.38 thf(f39,definition,(
% 0.86/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.86/0.38 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.86/0.38 thf(f41,definition,(
% 0.86/0.38 spl17_1 <=> (((sP1 @ sK10 @ sK7)) = $true)),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 0.86/0.38 thf(f43,plain,(
% 0.86/0.38 (((sP1 @ sK10 @ sK7)) = $true) | ~spl17_1),
% 0.86/0.38 inference(avatar_component_clause,[],[f41])).
% 0.86/0.38 thf(f45,definition,(
% 0.86/0.38 spl17_2 <=> ($true = ((sK7 @ sK15)))),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition])).
% 0.86/0.38 thf(f47,plain,(
% 0.86/0.38 ($true = ((sK7 @ sK15))) | ~spl17_2),
% 0.86/0.38 inference(avatar_component_clause,[],[f45])).
% 0.86/0.38 thf(f49,definition,(
% 0.86/0.38 spl17_3 <=> (((sK7 @ sK14)) = $true)),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition])).
% 0.86/0.38 thf(f51,plain,(
% 0.86/0.38 (((sK7 @ sK14)) = $true) | ~spl17_3),
% 0.86/0.38 inference(avatar_component_clause,[],[f49])).
% 0.86/0.38 thf(f53,definition,(
% 0.86/0.38 spl17_4 <=> ($true = ((sP0 @ sK11 @ sK6)))),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition])).
% 0.86/0.38 thf(f55,plain,(
% 0.86/0.38 ($true = ((sP0 @ sK11 @ sK6))) | ~spl17_4),
% 0.86/0.38 inference(avatar_component_clause,[],[f53])).
% 0.86/0.38 thf(f56,plain,(
% 0.86/0.38 spl17_1 | spl17_2 | spl17_3 | spl17_4),
% 0.86/0.38 inference(avatar_split_clause,[],[f29,f53,f49,f45,f41])).
% 0.86/0.38 thf(f58,definition,(
% 0.86/0.38 spl17_5 <=> (((sK11 @ (sK13 @ (sK8 @ sK16)) @ (sK13 @ (sK8 @ sK15)))) = ((sK13 @ (sK8 @ (sK10 @ sK16 @ sK15)))))),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition])).
% 0.86/0.38 thf(f61,plain,(
% 0.86/0.38 spl17_1 | spl17_3 | spl17_4 | ~spl17_5),
% 0.86/0.38 inference(avatar_split_clause,[],[f30,f58,f53,f49,f41])).
% 0.86/0.38 thf(f63,definition,(
% 0.86/0.38 spl17_6 <=> ($true = ((sK7 @ sK16)))),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition])).
% 0.86/0.38 thf(f65,plain,(
% 0.86/0.38 ($true = ((sK7 @ sK16))) | ~spl17_6),
% 0.86/0.38 inference(avatar_component_clause,[],[f63])).
% 0.86/0.38 thf(f66,plain,(
% 0.86/0.38 spl17_3 | spl17_4 | spl17_6 | spl17_1),
% 0.86/0.38 inference(avatar_split_clause,[],[f28,f41,f63,f53,f49])).
% 0.86/0.38 thf(f68,definition,(
% 0.86/0.38 spl17_7 <=> (((sK6 @ (sK13 @ (sK8 @ sK14)))) = $true)),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition])).
% 0.86/0.38 thf(f70,plain,(
% 0.86/0.38 (((sK6 @ (sK13 @ (sK8 @ sK14)))) != $true) | spl17_7),
% 0.86/0.38 inference(avatar_component_clause,[],[f68])).
% 0.86/0.38 thf(f71,plain,(
% 0.86/0.38 spl17_1 | spl17_4 | ~spl17_5 | ~spl17_7),
% 0.86/0.38 inference(avatar_split_clause,[],[f27,f68,f58,f53,f41])).
% 0.86/0.38 thf(f72,plain,(
% 0.86/0.38 spl17_2 | ~spl17_7 | spl17_4 | spl17_1),
% 0.86/0.38 inference(avatar_split_clause,[],[f26,f41,f53,f68,f45])).
% 0.86/0.38 thf(f73,plain,(
% 0.86/0.38 spl17_4 | spl17_1 | spl17_6 | ~spl17_7),
% 0.86/0.38 inference(avatar_split_clause,[],[f25,f68,f63,f41,f53])).
% 0.86/0.38 thf(f74,plain,(
% 0.86/0.38 ($true != $true) | (((sK9 @ (sK8 @ sK14))) = $true) | ~spl17_3),
% 0.86/0.38 inference(superposition,[],[f35,f51])).
% 0.86/0.38 thf(f75,plain,(
% 0.86/0.38 (((sK9 @ (sK8 @ sK14))) = $true) | ~spl17_3),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f74])).
% 0.86/0.38 thf(f76,plain,(
% 0.86/0.38 ($true != $true) | (((sK6 @ (sK13 @ (sK8 @ sK14)))) = $true) | ~spl17_3),
% 0.86/0.38 inference(superposition,[],[f31,f75])).
% 0.86/0.38 thf(f77,plain,(
% 0.86/0.38 (((sK6 @ (sK13 @ (sK8 @ sK14)))) = $true) | ~spl17_3),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f76])).
% 0.86/0.38 thf(f78,plain,(
% 0.86/0.38 $false | (~spl17_3 | spl17_7)),
% 0.86/0.38 inference(forward_subsumption_resolution,[],[f77,f70])).
% 0.86/0.38 thf(f79,plain,(
% 0.86/0.38 ~spl17_3 | spl17_7),
% 0.86/0.38 inference(avatar_contradiction_clause,[],[f78])).
% 0.86/0.38 thf(f84,plain,(
% 0.86/0.38 ( ! [X0 : g,X1 : g] : ((((sK7 @ X1)) != $true) | (((sK7 @ X0)) = $false) | (((sK7 @ (sK10 @ X1 @ X0))) = $true) | ($true != $true)) )),
% 0.86/0.38 inference(superposition,[],[f36,f39])).
% 0.86/0.38 thf(f90,plain,(
% 0.86/0.38 ( ! [X0 : a,X1 : a] : (($true = ((sK6 @ (sK11 @ X1 @ X0)))) | ($false = ((sK6 @ X0))) | ($true != ((sK6 @ X1))) | ($true != $true)) )),
% 0.86/0.38 inference(superposition,[],[f33,f39])).
% 0.86/0.38 thf(f92,plain,(
% 0.86/0.38 ( ! [X0 : g,X1 : g] : ((((sK7 @ X1)) != $true) | (((sK7 @ X0)) = $false) | (((sK7 @ (sK10 @ X1 @ X0))) = $true)) )),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f84])).
% 0.86/0.38 thf(f95,plain,(
% 0.86/0.38 ( ! [X0 : a,X1 : a] : (($true != ((sK6 @ X1))) | ($true = ((sK6 @ (sK11 @ X1 @ X0)))) | ($false = ((sK6 @ X0)))) )),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f90])).
% 0.86/0.38 thf(f119,plain,(
% 0.86/0.38 ($true != $true) | (((sK6 @ (sK4 @ sK11 @ sK6))) = $true) | ~spl17_4),
% 0.86/0.38 inference(superposition,[],[f21,f55])).
% 0.86/0.38 thf(f121,plain,(
% 0.86/0.38 (((sK6 @ (sK4 @ sK11 @ sK6))) = $true) | ~spl17_4),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f119])).
% 0.86/0.38 thf(f131,plain,(
% 0.86/0.38 ($true != $true) | (((sK6 @ (sK5 @ sK11 @ sK6))) = $true) | ~spl17_4),
% 0.86/0.38 inference(superposition,[],[f23,f55])).
% 0.86/0.38 thf(f134,plain,(
% 0.86/0.38 (((sK6 @ (sK5 @ sK11 @ sK6))) = $true) | ~spl17_4),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f131])).
% 0.86/0.38 thf(f189,plain,(
% 0.86/0.38 ( ! [X0 : g,X1 : g] : ((((sK7 @ (sK10 @ X0 @ X1))) = $true) | (((sK7 @ X0)) = $false) | ($true != $true) | (((sK7 @ X1)) = $false)) )),
% 0.86/0.38 inference(superposition,[],[f92,f39])).
% 0.86/0.38 thf(f190,plain,(
% 0.86/0.38 ( ! [X0 : g,X1 : g] : ((((sK7 @ (sK10 @ X0 @ X1))) = $true) | (((sK7 @ X0)) = $false) | (((sK7 @ X1)) = $false)) )),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f189])).
% 0.86/0.38 thf(f196,plain,(
% 0.86/0.38 ( ! [X0 : a,X1 : a] : (($false = ((sK6 @ X0))) | (((sK6 @ (sK11 @ X0 @ X1))) = $true) | ($true != $true) | ($false = ((sK6 @ X1)))) )),
% 0.86/0.38 inference(superposition,[],[f95,f39])).
% 0.86/0.38 thf(f199,plain,(
% 0.86/0.38 ( ! [X0 : a,X1 : a] : ((((sK6 @ (sK11 @ X0 @ X1))) = $true) | ($false = ((sK6 @ X1))) | ($false = ((sK6 @ X0)))) )),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f196])).
% 0.86/0.38 thf(f207,plain,(
% 0.86/0.38 (((sK7 @ (sK3 @ sK10 @ sK7))) = $false) | (((sK7 @ (sK2 @ sK10 @ sK7))) = $false) | ($true != $true) | (((sP1 @ sK10 @ sK7)) != $true)),
% 0.86/0.38 inference(superposition,[],[f19,f190])).
% 0.86/0.38 thf(f216,plain,(
% 0.86/0.38 (((sP1 @ sK10 @ sK7)) != $true) | (((sK7 @ (sK2 @ sK10 @ sK7))) = $false) | (((sK7 @ (sK3 @ sK10 @ sK7))) = $false)),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f207])).
% 0.86/0.38 thf(f218,definition,(
% 0.86/0.38 spl17_8 <=> (((sK7 @ (sK3 @ sK10 @ sK7))) = $false)),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition])).
% 0.86/0.38 thf(f220,plain,(
% 0.86/0.38 (((sK7 @ (sK3 @ sK10 @ sK7))) = $false) | ~spl17_8),
% 0.86/0.38 inference(avatar_component_clause,[],[f218])).
% 0.86/0.38 thf(f222,definition,(
% 0.86/0.38 spl17_9 <=> (((sK7 @ (sK2 @ sK10 @ sK7))) = $false)),
% 0.86/0.38 introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition])).
% 0.86/0.38 thf(f224,plain,(
% 0.86/0.38 (((sK7 @ (sK2 @ sK10 @ sK7))) = $false) | ~spl17_9),
% 0.86/0.38 inference(avatar_component_clause,[],[f222])).
% 0.86/0.38 thf(f225,plain,(
% 0.86/0.38 ~spl17_1 | spl17_8 | spl17_9),
% 0.86/0.38 inference(avatar_split_clause,[],[f216,f222,f218,f41])).
% 0.86/0.38 thf(f240,plain,(
% 0.86/0.38 (((sK6 @ (sK4 @ sK11 @ sK6))) = $false) | (((sK6 @ (sK5 @ sK11 @ sK6))) = $false) | ($true != $true) | ($true != ((sP0 @ sK11 @ sK6)))),
% 0.86/0.38 inference(superposition,[],[f22,f199])).
% 0.86/0.38 thf(f242,plain,(
% 0.86/0.38 (((sK6 @ (sK5 @ sK11 @ sK6))) = $false) | (((sK6 @ (sK4 @ sK11 @ sK6))) = $false) | ($true != ((sP0 @ sK11 @ sK6)))),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f240])).
% 0.86/0.38 thf(f244,plain,(
% 0.86/0.38 (((sK6 @ (sK4 @ sK11 @ sK6))) = $false) | (((sK6 @ (sK5 @ sK11 @ sK6))) = $false) | ~spl17_4),
% 0.86/0.38 inference(forward_subsumption_resolution,[],[f242,f55])).
% 0.86/0.38 thf(f245,plain,(
% 0.86/0.38 ($true = $false) | (((sK6 @ (sK5 @ sK11 @ sK6))) = $false) | ~spl17_4),
% 0.86/0.38 inference(forward_demodulation,[],[f244,f121])).
% 0.86/0.38 thf(f246,plain,(
% 0.86/0.38 (((sK6 @ (sK5 @ sK11 @ sK6))) = $false) | ~spl17_4),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f245])).
% 0.86/0.38 thf(f252,plain,(
% 0.86/0.38 ($true = $false) | ~spl17_4),
% 0.86/0.38 inference(superposition,[],[f246,f134])).
% 0.86/0.38 thf(f260,plain,(
% 0.86/0.38 $false | ~spl17_4),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f252])).
% 0.86/0.38 thf(f261,plain,(
% 0.86/0.38 ~spl17_4),
% 0.86/0.38 inference(avatar_contradiction_clause,[],[f260])).
% 0.86/0.38 thf(f275,plain,(
% 0.86/0.38 ($true = ((sK9 @ (sK8 @ sK15)))) | ($true != $true) | ~spl17_2),
% 0.86/0.38 inference(superposition,[],[f35,f47])).
% 0.86/0.38 thf(f279,plain,(
% 0.86/0.38 ($true = ((sK9 @ (sK8 @ sK15)))) | ~spl17_2),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f275])).
% 0.86/0.38 thf(f283,plain,(
% 0.86/0.38 ( ! [X0 : g] : ((((sK7 @ X0)) != $true) | ($true != $true) | (((sK12 @ (sK8 @ sK16) @ (sK8 @ X0))) = ((sK8 @ (sK10 @ sK16 @ X0))))) ) | ~spl17_6),
% 0.86/0.38 inference(superposition,[],[f24,f65])).
% 0.86/0.38 thf(f285,plain,(
% 0.86/0.38 ($true != $true) | ($true = ((sK9 @ (sK8 @ sK16)))) | ~spl17_6),
% 0.86/0.38 inference(superposition,[],[f35,f65])).
% 0.86/0.38 thf(f286,plain,(
% 0.86/0.38 ($true = ((sK9 @ (sK8 @ sK16)))) | ~spl17_6),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f285])).
% 0.86/0.38 thf(f287,plain,(
% 0.86/0.38 ( ! [X0 : g] : ((((sK7 @ X0)) != $true) | (((sK12 @ (sK8 @ sK16) @ (sK8 @ X0))) = ((sK8 @ (sK10 @ sK16 @ X0))))) ) | ~spl17_6),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f283])).
% 0.86/0.38 thf(f295,plain,(
% 0.86/0.38 ( ! [X0 : b] : (($true != $true) | (((sK11 @ (sK13 @ X0) @ (sK13 @ (sK8 @ sK15)))) = ((sK13 @ (sK12 @ X0 @ (sK8 @ sK15))))) | ($true != ((sK9 @ X0)))) ) | ~spl17_2),
% 0.86/0.38 inference(superposition,[],[f37,f279])).
% 0.86/0.38 thf(f298,plain,(
% 0.86/0.38 ( ! [X0 : b] : (($true != ((sK9 @ X0))) | (((sK11 @ (sK13 @ X0) @ (sK13 @ (sK8 @ sK15)))) = ((sK13 @ (sK12 @ X0 @ (sK8 @ sK15)))))) ) | ~spl17_2),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f295])).
% 0.86/0.38 thf(f367,plain,(
% 0.86/0.38 ($true != $true) | (((sK8 @ (sK10 @ sK16 @ sK15))) = ((sK12 @ (sK8 @ sK16) @ (sK8 @ sK15)))) | (~spl17_2 | ~spl17_6)),
% 0.86/0.38 inference(superposition,[],[f287,f47])).
% 0.86/0.38 thf(f372,plain,(
% 0.86/0.38 (((sK8 @ (sK10 @ sK16 @ sK15))) = ((sK12 @ (sK8 @ sK16) @ (sK8 @ sK15)))) | (~spl17_2 | ~spl17_6)),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f367])).
% 0.86/0.38 thf(f533,plain,(
% 0.86/0.38 ($true != $true) | (((sK11 @ (sK13 @ (sK8 @ sK16)) @ (sK13 @ (sK8 @ sK15)))) = ((sK13 @ (sK12 @ (sK8 @ sK16) @ (sK8 @ sK15))))) | (~spl17_2 | ~spl17_6)),
% 0.86/0.38 inference(superposition,[],[f298,f286])).
% 0.86/0.38 thf(f542,plain,(
% 0.86/0.38 (((sK11 @ (sK13 @ (sK8 @ sK16)) @ (sK13 @ (sK8 @ sK15)))) = ((sK13 @ (sK12 @ (sK8 @ sK16) @ (sK8 @ sK15))))) | (~spl17_2 | ~spl17_6)),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f533])).
% 0.86/0.38 thf(f544,plain,(
% 0.86/0.38 (((sK11 @ (sK13 @ (sK8 @ sK16)) @ (sK13 @ (sK8 @ sK15)))) = ((sK13 @ (sK8 @ (sK10 @ sK16 @ sK15))))) | (~spl17_2 | ~spl17_6)),
% 0.86/0.38 inference(forward_demodulation,[],[f542,f372])).
% 0.86/0.38 thf(f547,plain,(
% 0.86/0.38 spl17_5 | ~spl17_2 | ~spl17_6),
% 0.86/0.38 inference(avatar_split_clause,[],[f544,f63,f45,f58])).
% 0.86/0.38 thf(f548,plain,(
% 0.86/0.38 (((sK7 @ (sK2 @ sK10 @ sK7))) = $true) | ($true != $true) | ~spl17_1),
% 0.86/0.38 inference(superposition,[],[f20,f43])).
% 0.86/0.38 thf(f549,plain,(
% 0.86/0.38 ($true != $true) | (((sK7 @ (sK3 @ sK10 @ sK7))) = $true) | ~spl17_1),
% 0.86/0.38 inference(superposition,[],[f18,f43])).
% 0.86/0.38 thf(f550,plain,(
% 0.86/0.38 (((sK7 @ (sK3 @ sK10 @ sK7))) = $true) | ~spl17_1),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f549])).
% 0.86/0.38 thf(f551,plain,(
% 0.86/0.38 (((sK7 @ (sK2 @ sK10 @ sK7))) = $true) | ~spl17_1),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f548])).
% 0.86/0.38 thf(f796,plain,(
% 0.86/0.38 ($true = $false) | (~spl17_1 | ~spl17_9)),
% 0.86/0.38 inference(superposition,[],[f551,f224])).
% 0.86/0.38 thf(f809,plain,(
% 0.86/0.38 $false | (~spl17_1 | ~spl17_9)),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f796])).
% 0.86/0.38 thf(f810,plain,(
% 0.86/0.38 ~spl17_1 | ~spl17_9),
% 0.86/0.38 inference(avatar_contradiction_clause,[],[f809])).
% 0.86/0.38 thf(f830,plain,(
% 0.86/0.38 ($true = $false) | (~spl17_1 | ~spl17_8)),
% 0.86/0.38 inference(superposition,[],[f220,f550])).
% 0.86/0.38 thf(f845,plain,(
% 0.86/0.38 $false | (~spl17_1 | ~spl17_8)),
% 0.86/0.38 inference(trivial_inequality_removal,[],[f830])).
% 0.86/0.38 thf(f846,plain,(
% 0.86/0.38 ~spl17_1 | ~spl17_8),
% 0.86/0.38 inference(avatar_contradiction_clause,[],[f845])).
% 0.86/0.38 cnf(s1, plain, spl17_1 | spl17_2 | spl17_3 | spl17_4, inference(sat_conversion,[],[f56])).
% 0.86/0.38 cnf(s2, plain, spl17_1 | spl17_3 | spl17_4 | ~spl17_5, inference(sat_conversion,[],[f61])).
% 0.86/0.38 cnf(s3, plain, spl17_1 | spl17_3 | spl17_4 | spl17_6, inference(sat_conversion,[],[f66])).
% 0.86/0.38 cnf(s4, plain, spl17_1 | spl17_4 | ~spl17_5 | ~spl17_7, inference(sat_conversion,[],[f71])).
% 0.86/0.38 cnf(s5, plain, spl17_1 | spl17_2 | spl17_4 | ~spl17_7, inference(sat_conversion,[],[f72])).
% 0.86/0.38 cnf(s6, plain, spl17_1 | spl17_4 | spl17_6 | ~spl17_7, inference(sat_conversion,[],[f73])).
% 0.86/0.38 cnf(s7, plain, ~spl17_3 | spl17_7, inference(sat_conversion,[],[f79])).
% 0.86/0.38 cnf(s8, plain, ~spl17_1 | spl17_8 | spl17_9, inference(sat_conversion,[],[f225])).
% 0.86/0.38 cnf(s10, plain, ~spl17_4, inference(sat_conversion,[],[f261])).
% 0.86/0.38 cnf(s13, plain, ~spl17_2 | spl17_5 | ~spl17_6, inference(sat_conversion,[],[f547])).
% 0.86/0.38 cnf(s15, plain, ~spl17_1 | ~spl17_9, inference(sat_conversion,[],[f810])).
% 0.86/0.38 cnf(s17, plain, ~spl17_1 | ~spl17_8, inference(sat_conversion,[],[f846])).
% 0.86/0.38 cnf(s18, plain, spl17_1 | spl17_6 | ~spl17_7, inference(rat,[],[s6,s10])).
% 0.86/0.38 cnf(s19, plain, spl17_1 | spl17_2 | ~spl17_7, inference(rat,[],[s5,s10])).
% 0.86/0.38 cnf(s20, plain, spl17_1 | ~spl17_5 | ~spl17_7, inference(rat,[],[s4,s10])).
% 0.86/0.38 cnf(s21, plain, spl17_1 | spl17_3 | spl17_6, inference(rat,[],[s3,s10])).
% 0.86/0.38 cnf(s22, plain, spl17_1 | spl17_3 | ~spl17_5, inference(rat,[],[s2,s10])).
% 0.86/0.38 cnf(s23, plain, spl17_1 | spl17_2 | spl17_3, inference(rat,[],[s1,s10])).
% 0.86/0.38 cnf(s24, plain, spl17_2 | spl17_1, inference(rat,[],[s7,s23,s19])).
% 0.86/0.38 cnf(s25, plain, ~spl17_7 | spl17_1, inference(rat,[],[s13,s20,s18,s24])).
% 0.86/0.38 cnf(s26, plain, spl17_1, inference(rat,[],[s13,s22,s21,s7,s25,s24])).
% 0.86/0.38 cnf(s27, plain, ~spl17_8, inference(rat,[],[s17,s26])).
% 0.86/0.38 cnf(s28, plain, ~spl17_9, inference(rat,[],[s15,s26])).
% 0.86/0.38 cnf(s29, plain, $false, inference(rat,[],[s8,s28,s27,s26])).
% 0.86/0.38 thf(f847,plain,(
% 0.86/0.38 $false),
% 0.86/0.38 inference(avatar_sat_refutation,[],[s29])).
% 0.86/0.38 % SZS output end Proof for theBenchmark
% 0.86/0.38 % (445475)------------------------------
% 0.86/0.38 % (445475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.39 % (445475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.39 % (445475)CaDiCaL version: 2.1.3
% 0.86/0.39 % (445475)Termination reason: Refutation
% 0.86/0.39 % (445475)Time elapsed: 0.019 s
% 0.86/0.39 % (445475)Peak memory usage: 13 MB
% 0.86/0.39 % (445475)Instructions burned: 65 (million)
% 0.86/0.39 % (445435)Success in time 0.147 s
% 0.86/0.39 % Vampire exiting
%------------------------------------------------------------------------------