%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO225^5 : 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 08:47:14 AM UTC 2026
% Result : Theorem 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO225^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 16:40:18 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.20/0.36 % (1027386)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.36 % (1027397)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=494779866:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.36 % (1027396)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1315031312:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.36 % (1027392)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=263940000:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.36 % (1027393)lrs+10_16_si=on:nwc=1.5:random_seed=2710319239:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.36 % (1027394)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2905319401:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.36 % (1027395)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=457504973: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)
% 0.20/0.36 % (1027394)Instruction limit reached!
% 0.20/0.36 % (1027394)------------------------------
% 0.20/0.36 % (1027394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027394)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027394)Termination reason: Instruction limit
% 0.20/0.36 % (1027394)Termination phase: Property scanning
% 0.20/0.36 % (1027394)Time elapsed: 0.002 s
% 0.20/0.36 % (1027394)Peak memory usage: 10 MB
% 0.20/0.36 % (1027394)Instructions burned: 4 (million)
% 0.20/0.36 % (1027399)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.36 % (1027399)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
% 0.20/0.36 % (1027399)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=1055148635:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.36 % (1027393)Instruction limit reached!
% 0.20/0.36 % (1027393)------------------------------
% 0.20/0.36 % (1027393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027393)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027393)Termination reason: Instruction limit
% 0.20/0.36 % (1027393)Termination phase: Saturation
% 0.20/0.36 % (1027393)Time elapsed: 0.010 s
% 0.20/0.36 % (1027393)Peak memory usage: 12 MB
% 0.20/0.36 % (1027393)Instructions burned: 18 (million)
% 0.20/0.36 % (1027396)Instruction limit reached!
% 0.20/0.36 % (1027396)------------------------------
% 0.20/0.36 % (1027396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027396)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027396)Termination reason: Instruction limit
% 0.20/0.36 % (1027396)Termination phase: Saturation
% 0.20/0.36 % (1027396)Time elapsed: 0.014 s
% 0.20/0.36 % (1027396)Peak memory usage: 12 MB
% 0.20/0.36 % (1027396)Instructions burned: 24 (million)
% 0.20/0.36 % (1027397)Instruction limit reached!
% 0.20/0.36 % (1027397)------------------------------
% 0.20/0.36 % (1027397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027397)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027397)Termination reason: Instruction limit
% 0.20/0.36 % (1027397)Termination phase: Saturation
% 0.20/0.36 % (1027397)Time elapsed: 0.023 s
% 0.20/0.36 % (1027397)Peak memory usage: 13 MB
% 0.20/0.36 % (1027397)Instructions burned: 78 (million)
% 0.20/0.36 % (1027410)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4277319407:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.36 % (1027410)Instruction limit reached!
% 0.20/0.36 % (1027410)------------------------------
% 0.20/0.36 % (1027410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027410)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027410)Termination reason: Instruction limit
% 0.20/0.36 % (1027410)Termination phase: Saturation
% 0.20/0.36 % (1027410)Time elapsed: 0.002 s
% 0.20/0.36 % (1027410)Peak memory usage: 11 MB
% 0.20/0.36 % (1027410)Instructions burned: 4 (million)
% 0.20/0.36 % (1027415)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2807209948:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.36 % (1027414)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.36 % (1027412)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=271127648:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.36 % (1027415)Instruction limit reached!
% 0.20/0.36 % (1027415)------------------------------
% 0.20/0.36 % (1027415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027415)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027415)Termination reason: Instruction limit
% 0.20/0.36 % (1027415)Termination phase: Saturation
% 0.20/0.36 % (1027415)Time elapsed: 0.004 s
% 0.20/0.36 % (1027415)Peak memory usage: 12 MB
% 0.20/0.36 % (1027415)Instructions burned: 12 (million)
% 0.20/0.36 % (1027414)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1706457459:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.36 % (1027412)Instruction limit reached!
% 0.20/0.36 % (1027412)------------------------------
% 0.20/0.36 % (1027412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027412)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027412)Termination reason: Instruction limit
% 0.20/0.36 % (1027412)Termination phase: Saturation
% 0.20/0.36 % (1027412)Time elapsed: 0.005 s
% 0.20/0.36 % (1027412)Peak memory usage: 12 MB
% 0.20/0.36 % (1027412)Instructions burned: 8 (million)
% 0.20/0.36 % (1027414)Instruction limit reached!
% 0.20/0.36 % (1027414)------------------------------
% 0.20/0.36 % (1027414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027414)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027414)Termination reason: Instruction limit
% 0.20/0.36 % (1027414)Termination phase: Saturation
% 0.20/0.36 % (1027414)Time elapsed: 0.004 s
% 0.20/0.36 % (1027414)Peak memory usage: 12 MB
% 0.20/0.36 % (1027414)Instructions burned: 7 (million)
% 0.20/0.36 % (1027420)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
% 0.20/0.36 % (1027420)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.36 % (1027392)Instruction limit reached!
% 0.20/0.36 % (1027392)------------------------------
% 0.20/0.36 % (1027392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027392)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027424)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=4045753358:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.36 % (1027392)Termination reason: Instruction limit
% 0.20/0.36 % (1027392)Termination phase: Saturation
% 0.20/0.36 % (1027392)Time elapsed: 0.042 s
% 0.20/0.36 % (1027392)Peak memory usage: 13 MB
% 0.20/0.36 % (1027392)Instructions burned: 89 (million)
% 0.20/0.36 % (1027420)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4048528445:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.36 % (1027429)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.20/0.36 % (1027427)lrs+10_1_si=on:cs=on:random_seed=1082895102:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.20/0.36 % (1027429)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=207176457:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.36 % (1027420)Instruction limit reached!
% 0.20/0.36 % (1027420)------------------------------
% 0.20/0.36 % (1027420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027420)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027420)Termination reason: Instruction limit
% 0.20/0.36 % (1027420)Termination phase: Saturation
% 0.20/0.36 % (1027420)Time elapsed: 0.013 s
% 0.20/0.36 % (1027420)Peak memory usage: 12 MB
% 0.20/0.36 % (1027420)Instructions burned: 28 (million)
% 0.20/0.36 % (1027429)Instruction limit reached!
% 0.20/0.36 % (1027429)------------------------------
% 0.20/0.36 % (1027429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027429)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027429)Termination reason: Instruction limit
% 0.20/0.36 % (1027429)Termination phase: Saturation
% 0.20/0.36 % (1027429)Time elapsed: 0.004 s
% 0.20/0.36 % (1027429)Peak memory usage: 11 MB
% 0.20/0.36 % (1027429)Instructions burned: 7 (million)
% 0.20/0.36 % (1027427)Instruction limit reached!
% 0.20/0.36 % (1027427)------------------------------
% 0.20/0.36 % (1027427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027427)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027427)Termination reason: Instruction limit
% 0.20/0.36 % (1027427)Termination phase: Saturation
% 0.20/0.36 % (1027427)Time elapsed: 0.005 s
% 0.20/0.36 % (1027427)Peak memory usage: 12 MB
% 0.20/0.36 % (1027427)Instructions burned: 8 (million)
% 0.20/0.36 % (1027432)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4232768881:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.20/0.36 % (1027424)Instruction limit reached!
% 0.20/0.36 % (1027424)------------------------------
% 0.20/0.36 % (1027424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027424)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027424)Termination reason: Instruction limit
% 0.20/0.36 % (1027424)Termination phase: Saturation
% 0.20/0.36 % (1027424)Time elapsed: 0.025 s
% 0.20/0.36 % (1027424)Peak memory usage: 13 MB
% 0.20/0.36 % (1027424)Instructions burned: 93 (million)
% 0.20/0.36 % (1027448)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4152111222:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.20/0.36 % (1027432) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1027386-1027432"...
% 0.20/0.36 % (1027441)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3229391625:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.20/0.36 % (1027446)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3924937482:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.20/0.36 % (1027432)...printing done.
% 0.20/0.36 % (1027442)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1831308940:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.20/0.36 % (1027432)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Theorem for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% 0.20/0.36 thf(type_def_5, type, g: $tType).
% 0.20/0.36 thf(type_def_6, type, b: $tType).
% 0.20/0.36 thf(type_def_7, type, a: $tType).
% 0.20/0.36 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.36 thf(func_def_3, type, sP0: ((g > $o) > (g > g > g) > (a > a > a) > (b > a) > (g > b) > $o)).
% 0.20/0.36 thf(func_def_4, type, sP1: ((g > g > g) > (g > $o) > $o)).
% 0.20/0.36 thf(func_def_5, type, sK2: ((g > g > g) > (g > $o) > g)).
% 0.20/0.36 thf(func_def_6, type, sK3: ((g > g > g) > (g > $o) > g)).
% 0.20/0.36 thf(func_def_7, type, sK4: ((g > $o) > (g > g > g) > (a > a > a) > (b > a) > (g > b) > g)).
% 0.20/0.36 thf(func_def_8, type, sK5: ((g > $o) > (g > g > g) > (a > a > a) > (b > a) > (g > b) > g)).
% 0.20/0.36 thf(func_def_9, type, sK6: (b > b > b)).
% 0.20/0.36 thf(func_def_10, type, sK7: (a > a > a)).
% 0.20/0.36 thf(func_def_11, type, sK8: (a > $o)).
% 0.20/0.36 thf(func_def_12, type, sK9: (b > a)).
% 0.20/0.36 thf(func_def_13, type, sK10: (b > $o)).
% 0.20/0.36 thf(func_def_14, type, sK11: (g > $o)).
% 0.20/0.36 thf(func_def_15, type, sK12: (g > b)).
% 0.20/0.36 thf(func_def_16, type, sK13: (g > g > g)).
% 0.20/0.36 thf(func_def_17, type, sK14: a).
% 0.20/0.36 thf(func_def_18, type, sK15: a).
% 0.20/0.36 thf(func_def_19, type, sK16: g).
% 0.20/0.36 thf(func_def_20, type, vNOT: ($o > $o)).
% 0.20/0.36 thf(func_def_22, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.36 thf(func_def_23, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.36 thf(f1,conjecture,(
% 0.20/0.36 ! [X10 : (b > $o),X5 : (b > b > b),X11 : (b > b > b),X6 : (g > b),X0 : (g > b),X4 : (b > $o),X2 : (g > $o),X12 : (a > $o),X9 : (g > g > g),X7 : (b > a),X8 : (g > $o),X13 : (a > a > a),X3 : (g > g > g),X1 : (b > a)] : ((! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g,X15 : g] : (((X8 @ X14) & (X8 @ X15)) => (X8 @ (X9 @ X14 @ X15))) & ! [X15 : b,X14 : b] : (((X10 @ X15) & (X10 @ X14)) => (((X7 @ (X11 @ X14 @ X15))) = ((X13 @ (X7 @ X14) @ (X7 @ X15))))) & ! [X14 : b] : ((X10 @ X14) => (X12 @ (X7 @ X14))) & ! [X15 : g,X14 : g] : (((X8 @ X15) & (X8 @ X14)) => (((X6 @ (X9 @ X14 @ X15))) = ((X11 @ (X6 @ X14) @ (X6 @ X15))))) & ! [X14 : a,X15 : a] : (((X12 @ X14) & (X12 @ X15)) => (X12 @ (X13 @ X14 @ X15))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14)))) => (! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14) & (X8 @ X15) & (X8 @ X14)) => (((X7 @ (X6 @ (X9 @ X14 @ X15)))) = ((X13 @ (X7 @ (X6 @ X14)) @ (X7 @ (X6 @ X15)))))) & ! [X14 : a,X15 : a] : (((X12 @ X14) & (X12 @ X15)) => (X12 @ (X13 @ X14 @ X15))) & ! [X15 : g,X14 : g] : (((X8 @ X14) & (X8 @ X15)) => (X8 @ (X9 @ X14 @ X15))) & ! [X14 : g] : ((X8 @ X14) => (X12 @ (X7 @ (X6 @ X14))))))),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM126_CORRECTED_pme)).
% 0.20/0.36 thf(f2,negated_conjecture,(
% 0.20/0.36 ~ ! [X10 : (b > $o),X5 : (b > b > b),X11 : (b > b > b),X6 : (g > b),X0 : (g > b),X4 : (b > $o),X2 : (g > $o),X12 : (a > $o),X9 : (g > g > g),X7 : (b > a),X8 : (g > $o),X13 : (a > a > a),X3 : (g > g > g),X1 : (b > a)] : ((! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14))) & ! [X14 : g,X15 : g] : (((X8 @ X14) & (X8 @ X15)) => (X8 @ (X9 @ X14 @ X15))) & ! [X15 : b,X14 : b] : (((X10 @ X15) & (X10 @ X14)) => (((X7 @ (X11 @ X14 @ X15))) = ((X13 @ (X7 @ X14) @ (X7 @ X15))))) & ! [X14 : b] : ((X10 @ X14) => (X12 @ (X7 @ X14))) & ! [X15 : g,X14 : g] : (((X8 @ X15) & (X8 @ X14)) => (((X6 @ (X9 @ X14 @ X15))) = ((X11 @ (X6 @ X14) @ (X6 @ X15))))) & ! [X14 : a,X15 : a] : (((X12 @ X14) & (X12 @ X15)) => (X12 @ (X13 @ X14 @ X15))) & ! [X14 : g] : ((X8 @ X14) => (X10 @ (X6 @ X14)))) => (! [X14 : g,X15 : g] : (((X8 @ X15) & (X8 @ X14) & (X8 @ X15) & (X8 @ X14)) => (((X7 @ (X6 @ (X9 @ X14 @ X15)))) = ((X13 @ (X7 @ (X6 @ X14)) @ (X7 @ (X6 @ X15)))))) & ! [X14 : a,X15 : a] : (((X12 @ X14) & (X12 @ X15)) => (X12 @ (X13 @ X14 @ X15))) & ! [X15 : g,X14 : g] : (((X8 @ X14) & (X8 @ X15)) => (X8 @ (X9 @ X14 @ X15))) & ! [X14 : g] : ((X8 @ X14) => (X12 @ (X7 @ (X6 @ X14))))))),
% 0.20/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.36 thf(f3,plain,(
% 0.20/0.36 ~ ! [X0 : (b > $o),X2 : (b > b > b),X3 : (g > b),X7 : (a > $o),X8 : (g > g > g),X9 : (b > a),X10 : (g > $o),X11 : (a > a > a)] : ((! [X14 : g] : ((X10 @ X14) => (X0 @ (X3 @ X14))) & ! [X15 : g] : ((X10 @ X15) => (X0 @ (X3 @ X15))) & ! [X16 : g,X17 : g] : (((X10 @ X16) & (X10 @ X17)) => (X10 @ (X8 @ X16 @ X17))) & ! [X18 : b,X19 : b] : (((X0 @ X18) & (X0 @ X19)) => (((X9 @ (X2 @ X19 @ X18))) = ((X11 @ (X9 @ X19) @ (X9 @ X18))))) & ! [X20 : b] : ((X0 @ X20) => (X7 @ (X9 @ X20))) & ! [X21 : g,X22 : g] : (((X10 @ X21) & (X10 @ X22)) => (((X2 @ (X3 @ X22) @ (X3 @ X21))) = ((X3 @ (X8 @ X22 @ X21))))) & ! [X23 : a,X24 : a] : (((X7 @ X23) & (X7 @ X24)) => (X7 @ (X11 @ X23 @ X24))) & ! [X25 : g] : ((X10 @ X25) => (X0 @ (X3 @ X25)))) => (! [X26 : g,X27 : g] : (((X10 @ X27) & (X10 @ X26) & (X10 @ X27) & (X10 @ X26)) => (((X9 @ (X3 @ (X8 @ X26 @ X27)))) = ((X11 @ (X9 @ (X3 @ X26)) @ (X9 @ (X3 @ X27)))))) & ! [X28 : a,X29 : a] : (((X7 @ X28) & (X7 @ X29)) => (X7 @ (X11 @ X28 @ X29))) & ! [X30 : g,X31 : g] : (((X10 @ X31) & (X10 @ X30)) => (X10 @ (X8 @ X31 @ X30))) & ! [X32 : g] : ((X10 @ X32) => (X7 @ (X9 @ (X3 @ X32))))))),
% 0.20/0.36 inference(rectify,[],[f2])).
% 0.20/0.36 thf(f4,plain,(
% 0.20/0.36 ~ ! [X0 : (b > $o),X2 : (b > b > b),X3 : (g > b),X7 : (a > $o),X8 : (g > g > g),X9 : (b > a),X10 : (g > $o),X11 : (a > a > a)] : ((! [X14 : g] : (($true = ((X10 @ X14))) => (((X0 @ (X3 @ X14))) = $true)) & ! [X15 : g] : (($true = ((X10 @ X15))) => (((X0 @ (X3 @ X15))) = $true)) & ! [X16 : g,X17 : g] : ((($true = ((X10 @ X16))) & (((X10 @ X17)) = $true)) => (((X10 @ (X8 @ X16 @ X17))) = $true)) & ! [X18 : b,X19 : b] : (((((X0 @ X18)) = $true) & (((X0 @ X19)) = $true)) => (((X9 @ (X2 @ X19 @ X18))) = ((X11 @ (X9 @ X19) @ (X9 @ X18))))) & ! [X20 : b] : (($true = ((X0 @ X20))) => ($true = ((X7 @ (X9 @ X20))))) & ! [X21 : g,X22 : g] : ((($true = ((X10 @ X21))) & (((X10 @ X22)) = $true)) => (((X2 @ (X3 @ X22) @ (X3 @ X21))) = ((X3 @ (X8 @ X22 @ X21))))) & ! [X23 : a,X24 : a] : (((((X7 @ X23)) = $true) & ($true = ((X7 @ X24)))) => ($true = ((X7 @ (X11 @ X23 @ X24))))) & ! [X25 : g] : (($true = ((X10 @ X25))) => ($true = ((X0 @ (X3 @ X25)))))) => (! [X26 : g,X27 : g] : ((($true = ((X10 @ X27))) & ($true = ((X10 @ X26))) & ($true = ((X10 @ X27))) & ($true = ((X10 @ X26)))) => (((X9 @ (X3 @ (X8 @ X26 @ X27)))) = ((X11 @ (X9 @ (X3 @ X26)) @ (X9 @ (X3 @ X27)))))) & ! [X28 : a,X29 : a] : ((($true = ((X7 @ X28))) & ($true = ((X7 @ X29)))) => ($true = ((X7 @ (X11 @ X28 @ X29))))) & ! [X30 : g,X31 : g] : ((($true = ((X10 @ X31))) & ($true = ((X10 @ X30)))) => ($true = ((X10 @ (X8 @ X31 @ X30))))) & ! [X32 : g] : (($true = ((X10 @ X32))) => ($true = ((X7 @ (X9 @ (X3 @ X32))))))))),
% 0.20/0.36 inference(fool_elimination,[],[f3])).
% 0.20/0.36 thf(f5,plain,(
% 0.20/0.36 ~ ! [X5 : (b > a),X7 : (a > a > a),X1 : (b > b > b),X0 : (b > $o),X3 : (a > $o),X6 : (g > $o),X2 : (g > b),X4 : (g > g > g)] : ((! [X16 : g,X15 : g] : ((($true = ((X6 @ X15))) & ($true = ((X6 @ X16)))) => (((X1 @ (X2 @ X16) @ (X2 @ X15))) = ((X2 @ (X4 @ X16 @ X15))))) & ! [X9 : g] : (($true = ((X6 @ X9))) => (((X0 @ (X2 @ X9))) = $true)) & ! [X13 : b,X12 : b] : ((($true = ((X0 @ X12))) & ($true = ((X0 @ X13)))) => (((X5 @ (X1 @ X13 @ X12))) = ((X7 @ (X5 @ X13) @ (X5 @ X12))))) & ! [X19 : g] : (($true = ((X6 @ X19))) => (((X0 @ (X2 @ X19))) = $true)) & ! [X8 : g] : (($true = ((X6 @ X8))) => ($true = ((X0 @ (X2 @ X8))))) & ! [X17 : a,X18 : a] : (((((X3 @ X17)) = $true) & ($true = ((X3 @ X18)))) => ($true = ((X3 @ (X7 @ X17 @ X18))))) & ! [X14 : b] : (($true = ((X0 @ X14))) => ($true = ((X3 @ (X5 @ X14))))) & ! [X11 : g,X10 : g] : ((($true = ((X6 @ X10))) & (((X6 @ X11)) = $true)) => (((X6 @ (X4 @ X10 @ X11))) = $true))) => (! [X21 : g,X20 : g] : ((($true = ((X6 @ X21))) & ($true = ((X6 @ X20))) & ($true = ((X6 @ X20))) & ($true = ((X6 @ X21)))) => (((X5 @ (X2 @ (X4 @ X20 @ X21)))) = ((X7 @ (X5 @ (X2 @ X20)) @ (X5 @ (X2 @ X21)))))) & ! [X24 : g,X25 : g] : (((((X6 @ X24)) = $true) & (((X6 @ X25)) = $true)) => ($true = ((X6 @ (X4 @ X25 @ X24))))) & ! [X26 : g] : ((((X6 @ X26)) = $true) => (((X3 @ (X5 @ (X2 @ X26)))) = $true)) & ! [X23 : a,X22 : a] : (((((X3 @ X23)) = $true) & ($true = ((X3 @ X22)))) => ($true = ((X3 @ (X7 @ X22 @ X23)))))))),
% 0.20/0.36 inference(rectify,[],[f4])).
% 0.20/0.36 thf(f6,plain,(
% 0.20/0.36 ? [X5 : (b > a),X7 : (a > a > a),X1 : (b > b > b),X0 : (b > $o),X3 : (a > $o),X6 : (g > $o),X2 : (g > b),X4 : (g > g > g)] : ((? [X21 : g,X20 : g] : ((((X5 @ (X2 @ (X4 @ X20 @ X21)))) != ((X7 @ (X5 @ (X2 @ X20)) @ (X5 @ (X2 @ X21))))) & (($true = ((X6 @ X21))) & ($true = ((X6 @ X20))) & ($true = ((X6 @ X20))) & ($true = ((X6 @ X21))))) | ? [X24 : g,X25 : g] : (($true != ((X6 @ (X4 @ X25 @ X24)))) & ((((X6 @ X24)) = $true) & (((X6 @ X25)) = $true))) | ? [X26 : g] : ((((X6 @ X26)) = $true) & (((X3 @ (X5 @ (X2 @ X26)))) != $true)) | ? [X23 : a,X22 : a] : (($true != ((X3 @ (X7 @ X22 @ X23)))) & ((((X3 @ X23)) = $true) & ($true = ((X3 @ X22)))))) & (! [X16 : g,X15 : g] : ((((X1 @ (X2 @ X16) @ (X2 @ X15))) = ((X2 @ (X4 @ X16 @ X15)))) | (($true != ((X6 @ X15))) | ($true != ((X6 @ X16))))) & ! [X9 : g] : (($true != ((X6 @ X9))) | (((X0 @ (X2 @ X9))) = $true)) & ! [X13 : b,X12 : b] : ((((X5 @ (X1 @ X13 @ X12))) = ((X7 @ (X5 @ X13) @ (X5 @ X12)))) | (($true != ((X0 @ X12))) | ($true != ((X0 @ X13))))) & ! [X19 : g] : (($true != ((X6 @ X19))) | (((X0 @ (X2 @ X19))) = $true)) & ! [X8 : g] : (($true = ((X0 @ (X2 @ X8)))) | ($true != ((X6 @ X8)))) & ! [X17 : a,X18 : a] : (($true = ((X3 @ (X7 @ X17 @ X18)))) | ((((X3 @ X17)) != $true) | ($true != ((X3 @ X18))))) & ! [X14 : b] : (($true = ((X3 @ (X5 @ X14)))) | ($true != ((X0 @ X14)))) & ! [X11 : g,X10 : g] : ((((X6 @ (X4 @ X10 @ X11))) = $true) | (($true != ((X6 @ X10))) | (((X6 @ X11)) != $true)))))),
% 0.20/0.36 inference(ennf_transformation,[],[f5])).
% 0.20/0.36 thf(f7,plain,(
% 0.20/0.36 ? [X1 : (b > b > b),X7 : (a > a > a),X3 : (a > $o),X5 : (b > a),X0 : (b > $o),X6 : (g > $o),X2 : (g > b),X4 : (g > g > g)] : (! [X8 : g] : (($true = ((X0 @ (X2 @ X8)))) | ($true != ((X6 @ X8)))) & ! [X14 : b] : (($true = ((X3 @ (X5 @ X14)))) | ($true != ((X0 @ X14)))) & ! [X9 : g] : (($true != ((X6 @ X9))) | (((X0 @ (X2 @ X9))) = $true)) & ! [X18 : a,X17 : a] : ((((X3 @ X17)) != $true) | ($true != ((X3 @ X18))) | ($true = ((X3 @ (X7 @ X17 @ X18))))) & ! [X15 : g,X16 : g] : ((((X1 @ (X2 @ X16) @ (X2 @ X15))) = ((X2 @ (X4 @ X16 @ X15)))) | ($true != ((X6 @ X16))) | ($true != ((X6 @ X15)))) & ! [X12 : b,X13 : b] : (($true != ((X0 @ X13))) | ($true != ((X0 @ X12))) | (((X5 @ (X1 @ X13 @ X12))) = ((X7 @ (X5 @ X13) @ (X5 @ X12))))) & ! [X19 : g] : (($true != ((X6 @ X19))) | (((X0 @ (X2 @ X19))) = $true)) & (? [X20 : g,X21 : g] : ((((X5 @ (X2 @ (X4 @ X20 @ X21)))) != ((X7 @ (X5 @ (X2 @ X20)) @ (X5 @ (X2 @ X21))))) & ($true = ((X6 @ X21))) & ($true = ((X6 @ X21))) & ($true = ((X6 @ X20))) & ($true = ((X6 @ X20)))) | ? [X23 : a,X22 : a] : ((((X3 @ X23)) = $true) & ($true != ((X3 @ (X7 @ X22 @ X23)))) & ($true = ((X3 @ X22)))) | ? [X26 : g] : ((((X6 @ X26)) = $true) & (((X3 @ (X5 @ (X2 @ X26)))) != $true)) | ? [X24 : g,X25 : g] : ((((X6 @ X24)) = $true) & ($true != ((X6 @ (X4 @ X25 @ X24)))) & (((X6 @ X25)) = $true))) & ! [X10 : g,X11 : g] : ((((X6 @ X11)) != $true) | (((X6 @ (X4 @ X10 @ X11))) = $true) | ($true != ((X6 @ X10)))))),
% 0.20/0.36 inference(flattening,[],[f6])).
% 0.20/0.36 thf(f8,definition,(
% 0.20/0.36 ! [X2 : (g > b),X5 : (b > a),X7 : (a > a > a),X4 : (g > g > g),X6 : (g > $o)] : (? [X20 : g,X21 : g] : ((((X5 @ (X2 @ (X4 @ X20 @ X21)))) != ((X7 @ (X5 @ (X2 @ X20)) @ (X5 @ (X2 @ X21))))) & ($true = ((X6 @ X21))) & ($true = ((X6 @ X21))) & ($true = ((X6 @ X20))) & ($true = ((X6 @ X20)))) | ~ ($true = ((sP0 @ X6 @ X4 @ X7 @ X5 @ X2))))),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 0.20/0.36 thf(f9,definition,(
% 0.20/0.36 ! [X6 : (g > $o),X4 : (g > g > g)] : (? [X24 : g,X25 : g] : ((((X6 @ X24)) = $true) & ($true != ((X6 @ (X4 @ X25 @ X24)))) & (((X6 @ X25)) = $true)) | ~ ($true = ((sP1 @ X4 @ X6))))),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 0.20/0.36 thf(f10,plain,(
% 0.20/0.36 ? [X1 : (b > b > b),X7 : (a > a > a),X3 : (a > $o),X5 : (b > a),X0 : (b > $o),X6 : (g > $o),X2 : (g > b),X4 : (g > g > g)] : (! [X8 : g] : (($true = ((X0 @ (X2 @ X8)))) | ($true != ((X6 @ X8)))) & ! [X14 : b] : (($true = ((X3 @ (X5 @ X14)))) | ($true != ((X0 @ X14)))) & ! [X9 : g] : (($true != ((X6 @ X9))) | (((X0 @ (X2 @ X9))) = $true)) & ! [X18 : a,X17 : a] : ((((X3 @ X17)) != $true) | ($true != ((X3 @ X18))) | ($true = ((X3 @ (X7 @ X17 @ X18))))) & ! [X15 : g,X16 : g] : ((((X1 @ (X2 @ X16) @ (X2 @ X15))) = ((X2 @ (X4 @ X16 @ X15)))) | ($true != ((X6 @ X16))) | ($true != ((X6 @ X15)))) & ! [X12 : b,X13 : b] : (($true != ((X0 @ X13))) | ($true != ((X0 @ X12))) | (((X5 @ (X1 @ X13 @ X12))) = ((X7 @ (X5 @ X13) @ (X5 @ X12))))) & ! [X19 : g] : (($true != ((X6 @ X19))) | (((X0 @ (X2 @ X19))) = $true)) & (($true = ((sP0 @ X6 @ X4 @ X7 @ X5 @ X2))) | ? [X23 : a,X22 : a] : ((((X3 @ X23)) = $true) & ($true != ((X3 @ (X7 @ X22 @ X23)))) & ($true = ((X3 @ X22)))) | ? [X26 : g] : ((((X6 @ X26)) = $true) & (((X3 @ (X5 @ (X2 @ X26)))) != $true)) | ($true = ((sP1 @ X4 @ X6)))) & ! [X10 : g,X11 : g] : ((((X6 @ X11)) != $true) | (((X6 @ (X4 @ X10 @ X11))) = $true) | ($true != ((X6 @ X10)))))),
% 0.20/0.36 inference(definition_folding,[],[f7,f9,f8])).
% 0.20/0.36 thf(f11,plain,(
% 0.20/0.36 ! [X6 : (g > $o),X4 : (g > g > g)] : (? [X24 : g,X25 : g] : ((((X6 @ X24)) = $true) & ($true != ((X6 @ (X4 @ X25 @ X24)))) & (((X6 @ X25)) = $true)) | ($true != ((sP1 @ X4 @ X6))))),
% 0.20/0.36 inference(nnf_transformation,[],[f9])).
% 0.20/0.36 thf(f12,plain,(
% 0.20/0.36 ! [X0 : (g > $o),X1 : (g > g > g)] : (? [X2 : g,X3 : g] : (($true = ((X0 @ X2))) & ($true != ((X0 @ (X1 @ X3 @ X2)))) & ($true = ((X0 @ X3)))) | ($true != ((sP1 @ X1 @ X0))))),
% 0.20/0.36 inference(rectify,[],[f11])).
% 0.20/0.36 thf(f13,plain,(
% 0.20/0.36 ! [X0 : (g > $o),X1 : (g > g > g)] : ((($true = ((X0 @ (sK2 @ X1 @ X0)))) & ($true != ((X0 @ (X1 @ (sK3 @ X1 @ X0) @ (sK2 @ X1 @ X0))))) & (((X0 @ (sK3 @ X1 @ X0))) = $true)) | ($true != ((sP1 @ X1 @ X0))))),
% 0.20/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f12])).
% 0.20/0.36 thf(f14,plain,(
% 0.20/0.36 ! [X2 : (g > b),X5 : (b > a),X7 : (a > a > a),X4 : (g > g > g),X6 : (g > $o)] : (? [X20 : g,X21 : g] : ((((X5 @ (X2 @ (X4 @ X20 @ X21)))) != ((X7 @ (X5 @ (X2 @ X20)) @ (X5 @ (X2 @ X21))))) & ($true = ((X6 @ X21))) & ($true = ((X6 @ X21))) & ($true = ((X6 @ X20))) & ($true = ((X6 @ X20)))) | ($true != ((sP0 @ X6 @ X4 @ X7 @ X5 @ X2))))),
% 0.20/0.36 inference(nnf_transformation,[],[f8])).
% 0.20/0.36 thf(f15,plain,(
% 0.20/0.36 ! [X0 : (g > b),X1 : (b > a),X2 : (a > a > a),X3 : (g > g > g),X4 : (g > $o)] : (? [X5 : g,X6 : g] : ((((X1 @ (X0 @ (X3 @ X5 @ X6)))) != ((X2 @ (X1 @ (X0 @ X5)) @ (X1 @ (X0 @ X6))))) & (((X4 @ X6)) = $true) & (((X4 @ X6)) = $true) & ($true = ((X4 @ X5))) & ($true = ((X4 @ X5)))) | ($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0))))),
% 0.20/0.36 inference(rectify,[],[f14])).
% 0.20/0.36 thf(f16,plain,(
% 0.20/0.36 ! [X0 : (g > b),X1 : (b > a),X2 : (a > a > a),X3 : (g > g > g),X4 : (g > $o)] : (((((X1 @ (X0 @ (X3 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))) != ((X2 @ (X1 @ (X0 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) @ (X1 @ (X0 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))))) & ($true = ((X4 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))) & ($true = ((X4 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))) & ($true = ((X4 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0)))) & ($true = ((X4 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))))) | ($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0))))),
% 0.20/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f15])).
% 0.20/0.36 thf(f17,plain,(
% 0.20/0.36 ? [X0 : (b > b > b),X1 : (a > a > a),X2 : (a > $o),X3 : (b > a),X4 : (b > $o),X5 : (g > $o),X6 : (g > b),X7 : (g > g > g)] : (! [X8 : g] : ((((X4 @ (X6 @ X8))) = $true) | ($true != ((X5 @ X8)))) & ! [X9 : b] : ((((X2 @ (X3 @ X9))) = $true) | ($true != ((X4 @ X9)))) & ! [X10 : g] : (($true != ((X5 @ X10))) | ($true = ((X4 @ (X6 @ X10))))) & ! [X11 : a,X12 : a] : (($true != ((X2 @ X12))) | ($true != ((X2 @ X11))) | (((X2 @ (X1 @ X12 @ X11))) = $true)) & ! [X13 : g,X14 : g] : ((((X0 @ (X6 @ X14) @ (X6 @ X13))) = ((X6 @ (X7 @ X14 @ X13)))) | ($true != ((X5 @ X14))) | (((X5 @ X13)) != $true)) & ! [X15 : b,X16 : b] : (($true != ((X4 @ X16))) | ($true != ((X4 @ X15))) | (((X1 @ (X3 @ X16) @ (X3 @ X15))) = ((X3 @ (X0 @ X16 @ X15))))) & ! [X17 : g] : (($true != ((X5 @ X17))) | (((X4 @ (X6 @ X17))) = $true)) & (($true = ((sP0 @ X5 @ X7 @ X1 @ X3 @ X6))) | ? [X18 : a,X19 : a] : (($true = ((X2 @ X18))) & (((X2 @ (X1 @ X19 @ X18))) != $true) & ($true = ((X2 @ X19)))) | ? [X20 : g] : ((((X5 @ X20)) = $true) & ($true != ((X2 @ (X3 @ (X6 @ X20)))))) | (((sP1 @ X7 @ X5)) = $true)) & ! [X21 : g,X22 : g] : (($true != ((X5 @ X22))) | ($true = ((X5 @ (X7 @ X21 @ X22)))) | ($true != ((X5 @ X21)))))),
% 0.20/0.36 inference(rectify,[],[f10])).
% 0.20/0.36 thf(f18,plain,(
% 0.20/0.36 ! [X8 : g] : (($true = ((sK10 @ (sK12 @ X8)))) | ($true != ((sK11 @ X8)))) & ! [X9 : b] : (($true = ((sK8 @ (sK9 @ X9)))) | (((sK10 @ X9)) != $true)) & ! [X10 : g] : (($true != ((sK11 @ X10))) | ($true = ((sK10 @ (sK12 @ X10))))) & ! [X11 : a,X12 : a] : (($true != ((sK8 @ X12))) | ($true != ((sK8 @ X11))) | (((sK8 @ (sK7 @ X12 @ X11))) = $true)) & ! [X13 : g,X14 : g] : ((((sK6 @ (sK12 @ X14) @ (sK12 @ X13))) = ((sK12 @ (sK13 @ X14 @ X13)))) | (((sK11 @ X14)) != $true) | (((sK11 @ X13)) != $true)) & ! [X15 : b,X16 : b] : ((((sK10 @ X16)) != $true) | (((sK10 @ X15)) != $true) | (((sK9 @ (sK6 @ X16 @ X15))) = ((sK7 @ (sK9 @ X16) @ (sK9 @ X15))))) & ! [X17 : g] : (($true != ((sK11 @ X17))) | (((sK10 @ (sK12 @ X17))) = $true)) & (($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) | (($true = ((sK8 @ sK14))) & ($true != ((sK8 @ (sK7 @ sK15 @ sK14)))) & ($true = ((sK8 @ sK15)))) | ((((sK11 @ sK16)) = $true) & ($true != ((sK8 @ (sK9 @ (sK12 @ sK16)))))) | ($true = ((sP1 @ sK13 @ sK11)))) & ! [X21 : g,X22 : g] : ((((sK11 @ X22)) != $true) | ($true = ((sK11 @ (sK13 @ X21 @ X22)))) | ($true != ((sK11 @ X21))))),
% 0.20/0.36 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(X18,sK14),skolemize(X19,sK15),skolemize(X20,sK16)],[f17])).
% 0.20/0.36 thf(f19,plain,(
% 0.20/0.36 ( ! [X0 : (g > $o),X1 : (g > g > g)] : ((((X0 @ (sK3 @ X1 @ X0))) = $true) | ($true != ((sP1 @ X1 @ X0)))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f13])).
% 0.20/0.36 thf(f20,plain,(
% 0.20/0.36 ( ! [X0 : (g > $o),X1 : (g > g > g)] : (($true != ((X0 @ (X1 @ (sK3 @ X1 @ X0) @ (sK2 @ X1 @ X0))))) | ($true != ((sP1 @ X1 @ X0)))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f13])).
% 0.20/0.36 thf(f21,plain,(
% 0.20/0.36 ( ! [X0 : (g > $o),X1 : (g > g > g)] : (($true = ((X0 @ (sK2 @ X1 @ X0)))) | ($true != ((sP1 @ X1 @ X0)))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f13])).
% 0.20/0.36 thf(f23,plain,(
% 0.20/0.36 ( ! [X2 : (a > a > a),X3 : (g > g > g),X0 : (g > b),X1 : (b > a),X4 : (g > $o)] : (($true = ((X4 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0)))) | ($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f16])).
% 0.20/0.36 thf(f24,plain,(
% 0.20/0.36 ( ! [X2 : (a > a > a),X3 : (g > g > g),X0 : (g > b),X1 : (b > a),X4 : (g > $o)] : (($true = ((X4 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))) | ($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f16])).
% 0.20/0.36 thf(f26,plain,(
% 0.20/0.36 ( ! [X2 : (a > a > a),X3 : (g > g > g),X0 : (g > b),X1 : (b > a),X4 : (g > $o)] : (($true != ((sP0 @ X4 @ X3 @ X2 @ X1 @ X0))) | (((X1 @ (X0 @ (X3 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))) != ((X2 @ (X1 @ (X0 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) @ (X1 @ (X0 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f16])).
% 0.20/0.36 thf(f27,plain,(
% 0.20/0.36 ( ! [X21 : g,X22 : g] : (($true = ((sK11 @ (sK13 @ X21 @ X22)))) | ($true != ((sK11 @ X21))) | (((sK11 @ X22)) != $true)) )),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f28,plain,(
% 0.20/0.36 ($true != ((sK8 @ (sK9 @ (sK12 @ sK16))))) | ($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) | ($true = ((sP1 @ sK13 @ sK11))) | ($true = ((sK8 @ sK15)))),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f29,plain,(
% 0.20/0.36 (((sK11 @ sK16)) = $true) | ($true = ((sK8 @ sK15))) | ($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) | ($true = ((sP1 @ sK13 @ sK11)))),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f30,plain,(
% 0.20/0.36 ($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) | ($true != ((sK8 @ (sK9 @ (sK12 @ sK16))))) | ($true = ((sP1 @ sK13 @ sK11))) | ($true != ((sK8 @ (sK7 @ sK15 @ sK14))))),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f31,plain,(
% 0.20/0.36 ($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) | ($true = ((sP1 @ sK13 @ sK11))) | ($true != ((sK8 @ (sK7 @ sK15 @ sK14)))) | (((sK11 @ sK16)) = $true)),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f32,plain,(
% 0.20/0.36 ($true = ((sP1 @ sK13 @ sK11))) | ($true = ((sK8 @ sK14))) | ($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) | ($true != ((sK8 @ (sK9 @ (sK12 @ sK16)))))),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f33,plain,(
% 0.20/0.36 (((sK11 @ sK16)) = $true) | ($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) | ($true = ((sP1 @ sK13 @ sK11))) | ($true = ((sK8 @ sK14)))),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f35,plain,(
% 0.20/0.36 ( ! [X16 : b,X15 : b] : ((((sK9 @ (sK6 @ X16 @ X15))) = ((sK7 @ (sK9 @ X16) @ (sK9 @ X15)))) | (((sK10 @ X16)) != $true) | (((sK10 @ X15)) != $true)) )),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f36,plain,(
% 0.20/0.36 ( ! [X14 : g,X13 : g] : ((((sK6 @ (sK12 @ X14) @ (sK12 @ X13))) = ((sK12 @ (sK13 @ X14 @ X13)))) | (((sK11 @ X14)) != $true) | (((sK11 @ X13)) != $true)) )),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f37,plain,(
% 0.20/0.36 ( ! [X11 : a,X12 : a] : ((((sK8 @ (sK7 @ X12 @ X11))) = $true) | ($true != ((sK8 @ X12))) | ($true != ((sK8 @ X11)))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f39,plain,(
% 0.20/0.36 ( ! [X9 : b] : (($true = ((sK8 @ (sK9 @ X9)))) | (((sK10 @ X9)) != $true)) )),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f40,plain,(
% 0.20/0.36 ( ! [X8 : g] : (($true = ((sK10 @ (sK12 @ X8)))) | ($true != ((sK11 @ X8)))) )),
% 0.20/0.36 inference(cnf_transformation,[],[f18])).
% 0.20/0.36 thf(f44,definition,(
% 0.20/0.36 spl17_1 <=> ($true = ((sK8 @ (sK9 @ (sK12 @ sK16)))))),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 0.20/0.36 thf(f46,plain,(
% 0.20/0.36 ($true != ((sK8 @ (sK9 @ (sK12 @ sK16))))) | spl17_1),
% 0.20/0.36 inference(avatar_component_clause,[],[f44])).
% 0.20/0.36 thf(f48,definition,(
% 0.20/0.36 spl17_2 <=> ($true = ((sK8 @ sK14)))),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition])).
% 0.20/0.36 thf(f50,plain,(
% 0.20/0.36 ($true = ((sK8 @ sK14))) | ~spl17_2),
% 0.20/0.36 inference(avatar_component_clause,[],[f48])).
% 0.20/0.36 thf(f52,definition,(
% 0.20/0.36 spl17_3 <=> ($true = ((sP1 @ sK13 @ sK11)))),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition])).
% 0.20/0.36 thf(f54,plain,(
% 0.20/0.36 ($true = ((sP1 @ sK13 @ sK11))) | ~spl17_3),
% 0.20/0.36 inference(avatar_component_clause,[],[f52])).
% 0.20/0.36 thf(f56,definition,(
% 0.20/0.36 spl17_4 <=> ($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)))),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition])).
% 0.20/0.36 thf(f58,plain,(
% 0.20/0.36 ($true = ((sP0 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) | ~spl17_4),
% 0.20/0.36 inference(avatar_component_clause,[],[f56])).
% 0.20/0.36 thf(f59,plain,(
% 0.20/0.36 ~spl17_1 | spl17_2 | spl17_3 | spl17_4),
% 0.20/0.36 inference(avatar_split_clause,[],[f32,f56,f52,f48,f44])).
% 0.20/0.36 thf(f61,definition,(
% 0.20/0.36 spl17_5 <=> (((sK11 @ sK16)) = $true)),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition])).
% 0.20/0.36 thf(f63,plain,(
% 0.20/0.36 (((sK11 @ sK16)) = $true) | ~spl17_5),
% 0.20/0.36 inference(avatar_component_clause,[],[f61])).
% 0.20/0.36 thf(f64,plain,(
% 0.20/0.36 spl17_5 | spl17_3 | spl17_4 | spl17_2),
% 0.20/0.36 inference(avatar_split_clause,[],[f33,f48,f56,f52,f61])).
% 0.20/0.36 thf(f66,definition,(
% 0.20/0.36 spl17_6 <=> ($true = ((sK8 @ sK15)))),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition])).
% 0.20/0.36 thf(f68,plain,(
% 0.20/0.36 ($true = ((sK8 @ sK15))) | ~spl17_6),
% 0.20/0.36 inference(avatar_component_clause,[],[f66])).
% 0.20/0.36 thf(f69,plain,(
% 0.20/0.36 spl17_6 | spl17_3 | spl17_5 | spl17_4),
% 0.20/0.36 inference(avatar_split_clause,[],[f29,f56,f61,f52,f66])).
% 0.20/0.36 thf(f70,plain,(
% 0.20/0.36 spl17_6 | spl17_3 | ~spl17_1 | spl17_4),
% 0.20/0.36 inference(avatar_split_clause,[],[f28,f56,f44,f52,f66])).
% 0.20/0.36 thf(f72,definition,(
% 0.20/0.36 spl17_7 <=> ($true = ((sK8 @ (sK7 @ sK15 @ sK14))))),
% 0.20/0.36 introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition])).
% 0.20/0.36 thf(f74,plain,(
% 0.20/0.36 ($true != ((sK8 @ (sK7 @ sK15 @ sK14)))) | spl17_7),
% 0.20/0.36 inference(avatar_component_clause,[],[f72])).
% 0.20/0.36 thf(f75,plain,(
% 0.20/0.36 spl17_3 | spl17_4 | ~spl17_7 | spl17_5),
% 0.20/0.36 inference(avatar_split_clause,[],[f31,f61,f72,f56,f52])).
% 0.20/0.36 thf(f76,plain,(
% 0.20/0.36 spl17_4 | spl17_3 | ~spl17_1 | ~spl17_7),
% 0.20/0.36 inference(avatar_split_clause,[],[f30,f72,f44,f52,f56])).
% 0.20/0.36 thf(f77,plain,(
% 0.20/0.36 ($true != ((sK10 @ (sK12 @ sK16)))) | spl17_1),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f39,f46])).
% 0.20/0.36 thf(f78,plain,(
% 0.20/0.36 (((sK11 @ sK16)) != $true) | spl17_1),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f40,f77])).
% 0.20/0.36 thf(f82,plain,(
% 0.20/0.36 ($true = ((sK11 @ (sK3 @ sK13 @ sK11)))) | ~spl17_3),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f19,f54])).
% 0.20/0.36 thf(f91,plain,(
% 0.20/0.36 ($true = ((sK11 @ (sK2 @ sK13 @ sK11)))) | ~spl17_3),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f21,f54])).
% 0.20/0.36 thf(f100,plain,(
% 0.20/0.36 ($true != ((sK11 @ (sK13 @ (sK3 @ sK13 @ sK11) @ (sK2 @ sK13 @ sK11))))) | ~spl17_3),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f20,f54])).
% 0.20/0.36 thf(f134,plain,(
% 0.20/0.36 ($true = ((sK11 @ (sK13 @ (sK3 @ sK13 @ sK11) @ (sK2 @ sK13 @ sK11))))) | ~spl17_3),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f27,f82,f91])).
% 0.20/0.36 thf(f139,plain,(
% 0.20/0.36 $false | ~spl17_3),
% 0.20/0.36 inference(forward_subsumption_resolution,[],[f134,f100])).
% 0.20/0.36 thf(f140,plain,(
% 0.20/0.36 ~spl17_3),
% 0.20/0.36 inference(avatar_contradiction_clause,[],[f139])).
% 0.20/0.36 thf(f141,plain,(
% 0.20/0.36 (((sK9 @ (sK12 @ (sK13 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12) @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))))) != ((sK7 @ (sK9 @ (sK12 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) @ (sK9 @ (sK12 @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)))))) | ~spl17_4),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f26,f58])).
% 0.20/0.36 thf(f142,plain,(
% 0.20/0.36 ($true = ((sK11 @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)))) | ~spl17_4),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f24,f58])).
% 0.20/0.36 thf(f143,plain,(
% 0.20/0.36 ($true = ((sK11 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)))) | ~spl17_4),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f23,f58])).
% 0.20/0.36 thf(f148,plain,(
% 0.20/0.36 ($true = ((sK10 @ (sK12 @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))))) | ~spl17_4),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f40,f142])).
% 0.20/0.36 thf(f151,plain,(
% 0.20/0.36 (((sK6 @ (sK12 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)) @ (sK12 @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)))) = ((sK12 @ (sK13 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12) @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))))) | ~spl17_4),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f36,f142,f143])).
% 0.20/0.36 thf(f157,plain,(
% 0.20/0.36 ($true = ((sK10 @ (sK12 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))))) | ~spl17_4),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f40,f143])).
% 0.20/0.36 thf(f204,plain,(
% 0.20/0.36 (((sK9 @ (sK6 @ (sK12 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)) @ (sK12 @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))))) = ((sK7 @ (sK9 @ (sK12 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) @ (sK9 @ (sK12 @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)))))) | ~spl17_4),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f35,f148,f157])).
% 0.20/0.36 thf(f209,plain,(
% 0.20/0.36 (((sK9 @ (sK12 @ (sK13 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12) @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))))) = ((sK7 @ (sK9 @ (sK12 @ (sK4 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12))) @ (sK9 @ (sK12 @ (sK5 @ sK11 @ sK13 @ sK7 @ sK9 @ sK12)))))) | ~spl17_4),
% 0.20/0.36 inference(forward_demodulation,[],[f204,f151])).
% 0.20/0.36 thf(f211,plain,(
% 0.20/0.36 $false | ~spl17_4),
% 0.20/0.36 inference(forward_subsumption_resolution,[],[f209,f141])).
% 0.20/0.36 thf(f212,plain,(
% 0.20/0.36 ~spl17_4),
% 0.20/0.36 inference(avatar_contradiction_clause,[],[f211])).
% 0.20/0.36 thf(f213,plain,(
% 0.20/0.36 $false | (spl17_1 | ~spl17_5)),
% 0.20/0.36 inference(forward_subsumption_resolution,[],[f78,f63])).
% 0.20/0.36 thf(f214,plain,(
% 0.20/0.36 spl17_1 | ~spl17_5),
% 0.20/0.36 inference(avatar_contradiction_clause,[],[f213])).
% 0.20/0.36 thf(f216,plain,(
% 0.20/0.36 ($true != ((sK8 @ sK15))) | (~spl17_2 | spl17_7)),
% 0.20/0.36 inference(unit_resulting_resolution,[],[f37,f74,f50])).
% 0.20/0.36 thf(f218,plain,(
% 0.20/0.36 $false | (~spl17_2 | ~spl17_6 | spl17_7)),
% 0.20/0.36 inference(forward_subsumption_resolution,[],[f216,f68])).
% 0.20/0.36 thf(f219,plain,(
% 0.20/0.36 ~spl17_2 | ~spl17_6 | spl17_7),
% 0.20/0.36 inference(avatar_contradiction_clause,[],[f218])).
% 0.20/0.36 cnf(s1, plain, ~spl17_1 | spl17_2 | spl17_3 | spl17_4, inference(sat_conversion,[],[f59])).
% 0.20/0.36 cnf(s2, plain, spl17_2 | spl17_3 | spl17_4 | spl17_5, inference(sat_conversion,[],[f64])).
% 0.20/0.36 cnf(s3, plain, spl17_3 | spl17_4 | spl17_5 | spl17_6, inference(sat_conversion,[],[f69])).
% 0.20/0.36 cnf(s4, plain, ~spl17_1 | spl17_3 | spl17_4 | spl17_6, inference(sat_conversion,[],[f70])).
% 0.20/0.36 cnf(s5, plain, spl17_3 | spl17_4 | spl17_5 | ~spl17_7, inference(sat_conversion,[],[f75])).
% 0.20/0.36 cnf(s6, plain, ~spl17_1 | spl17_3 | spl17_4 | ~spl17_7, inference(sat_conversion,[],[f76])).
% 0.20/0.36 cnf(s7, plain, ~spl17_3, inference(sat_conversion,[],[f140])).
% 0.20/0.36 cnf(s8, plain, ~spl17_4, inference(sat_conversion,[],[f212])).
% 0.20/0.36 cnf(s9, plain, spl17_1 | ~spl17_5, inference(sat_conversion,[],[f214])).
% 0.20/0.36 cnf(s10, plain, ~spl17_2 | ~spl17_6 | spl17_7, inference(sat_conversion,[],[f219])).
% 0.20/0.36 cnf(s11, plain, ~spl17_1 | ~spl17_7, inference(rat,[],[s6,s8,s7])).
% 0.20/0.36 cnf(s12, plain, spl17_5 | ~spl17_7, inference(rat,[],[s5,s8,s7])).
% 0.20/0.36 cnf(s13, plain, ~spl17_1 | spl17_6, inference(rat,[],[s4,s8,s7])).
% 0.20/0.36 cnf(s14, plain, spl17_5 | spl17_6, inference(rat,[],[s3,s8,s7])).
% 0.20/0.36 cnf(s15, plain, spl17_2 | spl17_5, inference(rat,[],[s2,s8,s7])).
% 0.20/0.36 cnf(s16, plain, ~spl17_1 | spl17_2, inference(rat,[],[s1,s8,s7])).
% 0.20/0.36 cnf(s17, plain, spl17_5, inference(rat,[],[s10,s15,s14,s12])).
% 0.20/0.36 cnf(s18, plain, spl17_1, inference(rat,[],[s9,s17])).
% 0.20/0.36 cnf(s19, plain, ~spl17_7, inference(rat,[],[s11,s18])).
% 0.20/0.36 cnf(s20, plain, spl17_6, inference(rat,[],[s13,s18])).
% 0.20/0.36 cnf(s21, plain, spl17_2, inference(rat,[],[s16,s18])).
% 0.20/0.36 cnf(s22, plain, $false, inference(rat,[],[s10,s19,s20,s21])).
% 0.20/0.36 thf(f220,plain,(
% 0.20/0.36 $false),
% 0.20/0.36 inference(avatar_sat_refutation,[],[s22])).
% 0.20/0.36 % SZS output end Proof for theBenchmark
% 0.20/0.36 % (1027432)------------------------------
% 0.20/0.36 % (1027432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (1027432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (1027432)CaDiCaL version: 2.1.3
% 0.20/0.36 % (1027432)Termination reason: Refutation
% 0.20/0.36 % (1027432)Time elapsed: 0.021 s
% 0.20/0.36 % (1027432)Peak memory usage: 13 MB
% 0.20/0.36 % (1027432)Instructions burned: 37 (million)
% 0.20/0.36 % (1027386)Success in time 0.121 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------