%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO017^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 08:48:43 AM UTC 2026
% Result : Theorem 0.37s 0.29s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO017^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n009.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 16:21:30 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.29 % (7669)Will run a generic schedule for satisfiability detection.
% 0.37/0.29 % (7686)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2425349663_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.29 % Exception at run slice level
% 0.37/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.37/0.29 % (7687)% WARNING: option uhcvi not known.
% 0.37/0.29 % (7690)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1999150785:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.29 % (7688)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=500753926:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.29 % (7689)dis+10_1_sil=32000:sp=arity:random_seed=3903758789:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.29 % (7692)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2940827286:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.29 % (7691)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1939691031:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.29 % (7690)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.37/0.29 % (7699)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1527509732:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.37/0.29 % Exception at run slice level
% 0.37/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.37/0.29 % (7690)Refutation not found, incomplete strategy
% 0.37/0.29 % (7690)------------------------------
% 0.37/0.29 % (7690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7690)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7690)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7690)Time elapsed: 0.004 s
% 0.37/0.29 % (7690)Peak memory usage: 12 MB
% 0.37/0.29 % (7690)Instructions burned: 5 (million)
% 0.37/0.29 % (7691)Refutation not found, incomplete strategy
% 0.37/0.29 % (7691)------------------------------
% 0.37/0.29 % (7691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7691)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7691)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7691)Time elapsed: 0.004 s
% 0.37/0.29 % (7691)Peak memory usage: 12 MB
% 0.37/0.29 % (7691)Instructions burned: 5 (million)
% 0.37/0.29 % (7689)Refutation not found, incomplete strategy
% 0.37/0.29 % (7689)------------------------------
% 0.37/0.29 % (7689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7689)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7689)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7689)Time elapsed: 0.005 s
% 0.37/0.29 % (7689)Peak memory usage: 12 MB
% 0.37/0.29 % (7687)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3636450630:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.29 % (7689)Instructions burned: 7 (million)
% 0.37/0.29 % (7690)------------------------------
% 0.37/0.29 % (7690)------------------------------
% 0.37/0.29 % (7691)------------------------------
% 0.37/0.29 % (7691)------------------------------
% 0.37/0.29 % (7687)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.37/0.29 % (7687)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.37/0.29 % (7689)------------------------------
% 0.37/0.29 % (7689)------------------------------
% 0.37/0.29 % (7692)Refutation not found, incomplete strategy
% 0.37/0.29 % (7692)------------------------------
% 0.37/0.29 % (7692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7692)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7692)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7692)Time elapsed: 0.007 s
% 0.37/0.29 % (7692)Peak memory usage: 12 MB
% 0.37/0.29 % (7692)Instructions burned: 12 (million)
% 0.37/0.29 % (7692)------------------------------
% 0.37/0.29 % (7692)------------------------------
% 0.37/0.29 % (7688)Refutation not found, incomplete strategy
% 0.37/0.29 % (7688)------------------------------
% 0.37/0.29 % (7688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7688)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7688)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7688)Time elapsed: 0.009 s
% 0.37/0.29 % (7688)Peak memory usage: 12 MB
% 0.37/0.29 % (7688)Instructions burned: 13 (million)
% 0.37/0.29 % (7688)------------------------------
% 0.37/0.29 % (7688)------------------------------
% 0.37/0.29 % (7687)Refutation not found, incomplete strategy
% 0.37/0.29 % (7687)------------------------------
% 0.37/0.29 % (7687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7687)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7687)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7687)Time elapsed: 0.006 s
% 0.37/0.29 % (7687)Peak memory usage: 12 MB
% 0.37/0.29 % (7687)Instructions burned: 9 (million)
% 0.37/0.29 % (7687)------------------------------
% 0.37/0.29 % (7687)------------------------------
% 0.37/0.29 % (7710)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1245313237:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.29 % (7710)Refutation not found, incomplete strategy
% 0.37/0.29 % (7710)------------------------------
% 0.37/0.29 % (7710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7710)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7710)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7710)Time elapsed: 0.002 s
% 0.37/0.29 % (7710)Peak memory usage: 12 MB
% 0.37/0.29 % (7710)Instructions burned: 4 (million)
% 0.37/0.29 % (7710)------------------------------
% 0.37/0.29 % (7710)------------------------------
% 0.37/0.29 % (7713)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=512826880:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.37/0.29 % (7714)ott-21_1_sil=16000:fs=off:random_seed=2027885197:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.37/0.29 % (7713)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.37/0.29 % (7715)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4114593463:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.37/0.29 % (7713)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.37/0.29 % (7727)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3930605917:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2999 on theBenchmark for (2999ds/692Mi)
% 0.37/0.29 % (7727)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.37/0.29 % (7717)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2356563291:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 0.37/0.29 % (7713)Refutation not found, incomplete strategy
% 0.37/0.29 % (7713)------------------------------
% 0.37/0.29 % (7713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % Exception at run slice level
% 0.37/0.29 User error: % (7713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.37/0.29 % (7713)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7713)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7713)Time elapsed: 0.003 s
% 0.37/0.29 % (7713)Peak memory usage: 12 MB
% 0.37/0.29 % (7713)Instructions burned: 3 (million)
% 0.37/0.29 % (7727)Refutation not found, incomplete strategy
% 0.37/0.29 % (7727)------------------------------
% 0.37/0.29 % (7727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7727)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7727)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7727)Time elapsed: 0.003 s
% 0.37/0.29 % (7727)Peak memory usage: 12 MB
% 0.37/0.29 % (7727)Instructions burned: 8 (million)
% 0.37/0.29 % (7713)------------------------------
% 0.37/0.29 % (7713)------------------------------
% 0.37/0.29 % (7727)------------------------------
% 0.37/0.29 % (7727)------------------------------
% 0.37/0.29 % (7719)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2979160866:i=1179_2999 on theBenchmark for (2999ds/1179Mi)
% 0.37/0.29 % (7715)Refutation not found, incomplete strategy
% 0.37/0.29 % (7715)------------------------------
% 0.37/0.29 % (7715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7715)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7715)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.29 % (7715)Time elapsed: 0.004 s
% 0.37/0.29 % (7715)Peak memory usage: 12 MB
% 0.37/0.29 % (7715)Instructions burned: 5 (million)
% 0.37/0.29 % (7715)------------------------------
% 0.37/0.29 % (7715)------------------------------
% 0.37/0.29 % (7725)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2233307139:i=889:ins=1_2999 on theBenchmark for (2999ds/889Mi)
% 0.37/0.29 % (7719) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-7669-7719"...
% 0.37/0.29 % Exception at run slice level
% 0.37/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.37/0.29 % (7719)...printing done.
% 0.37/0.29 % (7719)Refutation found. Thanks to Tanya!
% 0.37/0.29 % SZS status Theorem for theBenchmark
% 0.37/0.29 % SZS output start Proof for theBenchmark
% 0.37/0.29 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.37/0.29 thf(func_def_0, type, h: ($o > $o)).
% 0.37/0.29 thf(func_def_4, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.37/0.29 thf(func_def_5, type, sF0: $o).
% 0.37/0.29 thf(func_def_6, type, sF1: $o).
% 0.37/0.29 thf(func_def_7, type, sF2: $o).
% 0.37/0.29 thf(func_def_8, type, sF3: $o).
% 0.37/0.29 thf(func_def_9, type, vNOT: ($o > $o)).
% 0.37/0.29 thf(f1,conjecture,(
% 0.37/0.29 (((h @ (((h @ $true)) = ((h @ $false))))) = ((h @ $false)))),
% 0.37/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.37/0.29 thf(f2,negated_conjecture,(
% 0.37/0.29 ~ (((h @ (((h @ $true)) = ((h @ $false))))) = ((h @ $false)))),
% 0.37/0.29 inference(negated_conjecture,[status(cth)],[f1])).
% 0.37/0.29 thf(f3,plain,(
% 0.37/0.29 ~ (((h @ (((h @ $true)) = ((h @ $false))))) = ((h @ $false)))),
% 0.37/0.29 inference(rectify,[],[f2])).
% 0.37/0.29 thf(f4,plain,(
% 0.37/0.29 ~ (((h @ $false)) = ((h @ ((h @ $true) = (h @ $false)))))),
% 0.37/0.29 inference(fool_elimination,[],[f3])).
% 0.37/0.29 thf(f5,plain,(
% 0.37/0.29 (((h @ $false)) != ((h @ ((h @ $true) = (h @ $false)))))),
% 0.37/0.29 inference(flattening,[],[f4])).
% 0.37/0.29 thf(f6,plain,(
% 0.37/0.29 (((h @ $false)) != ((h @ ((h @ $true) = (h @ $false)))))),
% 0.37/0.29 inference(cnf_transformation,[],[f5])).
% 0.37/0.29 thf(f8,definition,(
% 0.37/0.29 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.37/0.29 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.37/0.29 thf(f9,definition,(
% 0.37/0.29 (sF0 = ((h @ $false)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 0.37/0.29 thf(f10,plain,(
% 0.37/0.29 (((h @ $false)) = sF0)),
% 0.37/0.29 inference(reorient_equations,[],[f9])).
% 0.37/0.29 thf(f11,definition,(
% 0.37/0.29 (sF1 = ((h @ $true)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 0.37/0.29 thf(f12,plain,(
% 0.37/0.29 (((h @ $true)) = sF1)),
% 0.37/0.29 inference(reorient_equations,[],[f11])).
% 0.37/0.29 thf(f13,definition,(
% 0.37/0.29 (sF2 = ((sF1 = sF0)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 0.37/0.29 thf(f14,plain,(
% 0.37/0.29 (((sF1 = sF0)) = sF2)),
% 0.37/0.29 inference(reorient_equations,[],[f13])).
% 0.37/0.29 thf(f15,definition,(
% 0.37/0.29 (sF3 = ((h @ sF2)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 0.37/0.29 thf(f16,plain,(
% 0.37/0.29 (((h @ sF2)) = sF3)),
% 0.37/0.29 inference(reorient_equations,[],[f15])).
% 0.37/0.29 thf(f17,plain,(
% 0.37/0.29 (sF0 != sF3)),
% 0.37/0.29 inference(definition_folding,[],[f6,f16,f14,f10,f12,f10])).
% 0.37/0.29 thf(f18,plain,(
% 0.37/0.29 ($true = sF0) | ($true = sF3)),
% 0.37/0.29 inference(xor_proxy_clausification,[],[f17])).
% 0.37/0.29 thf(f19,plain,(
% 0.37/0.29 ($false = sF0) | ($false = sF3)),
% 0.37/0.29 inference(xor_proxy_clausification,[],[f17])).
% 0.37/0.29 thf(f20,plain,(
% 0.37/0.29 ($true = ((h @ $false))) | ($false = sF0)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f10])).
% 0.37/0.29 thf(f21,plain,(
% 0.37/0.29 ($false = ((h @ $false))) | ($true = sF0)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f10])).
% 0.37/0.29 thf(f22,plain,(
% 0.37/0.29 ($true = ((h @ $true))) | ($false = sF1)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f12])).
% 0.37/0.29 thf(f23,plain,(
% 0.37/0.29 (((h @ $true)) = $false) | ($true = sF1)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f12])).
% 0.37/0.29 thf(f24,plain,(
% 0.37/0.29 ($true = ((sF1 = sF0))) | ($false = sF2)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f14])).
% 0.37/0.29 thf(f29,plain,(
% 0.37/0.29 (sF0 = sF1) | ($false = sF2)),
% 0.37/0.29 inference(equality_proxy_clausification,[],[f24])).
% 0.37/0.29 thf(f30,plain,(
% 0.37/0.29 ($true = sF0) | ($false = sF2) | ($false = sF1)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f29])).
% 0.37/0.29 thf(f31,plain,(
% 0.37/0.29 ($false = sF0) | ($false = sF2) | ($true = sF1)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f29])).
% 0.37/0.29 thf(f32,plain,(
% 0.37/0.29 ($true = ((h @ sF2))) | ($false = sF3)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f16])).
% 0.37/0.29 thf(f33,plain,(
% 0.37/0.29 ($false = ((h @ sF2))) | ($true = sF3)),
% 0.37/0.29 inference(iff_proxy_clausification,[],[f16])).
% 0.37/0.29 thf(f35,definition,(
% 0.37/0.29 spl4_1 <=> ($false = sF3)),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition])).
% 0.37/0.29 thf(f37,plain,(
% 0.37/0.29 ($false = sF3) | ~spl4_1),
% 0.37/0.29 inference(avatar_component_clause,[],[f35])).
% 0.37/0.29 thf(f39,definition,(
% 0.37/0.29 spl4_2 <=> ($false = sF0)),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition])).
% 0.37/0.29 thf(f41,plain,(
% 0.37/0.29 ($false = sF0) | ~spl4_2),
% 0.37/0.29 inference(avatar_component_clause,[],[f39])).
% 0.37/0.29 thf(f42,plain,(
% 0.37/0.29 spl4_1 | spl4_2),
% 0.37/0.29 inference(avatar_split_clause,[],[f19,f39,f35])).
% 0.37/0.29 thf(f44,definition,(
% 0.37/0.29 spl4_3 <=> ($true = sF3)),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition])).
% 0.37/0.29 thf(f46,plain,(
% 0.37/0.29 ($true = sF3) | ~spl4_3),
% 0.37/0.29 inference(avatar_component_clause,[],[f44])).
% 0.37/0.29 thf(f48,definition,(
% 0.37/0.29 spl4_4 <=> ($true = sF0)),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition])).
% 0.37/0.29 thf(f50,plain,(
% 0.37/0.29 ($true = sF0) | ~spl4_4),
% 0.37/0.29 inference(avatar_component_clause,[],[f48])).
% 0.37/0.29 thf(f51,plain,(
% 0.37/0.29 spl4_3 | spl4_4),
% 0.37/0.29 inference(avatar_split_clause,[],[f18,f48,f44])).
% 0.37/0.29 thf(f53,definition,(
% 0.37/0.29 spl4_5 <=> ($false = ((h @ $false)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition])).
% 0.37/0.29 thf(f54,plain,(
% 0.37/0.29 ($false != ((h @ $false))) | spl4_5),
% 0.37/0.29 inference(avatar_component_clause,[],[f53])).
% 0.37/0.29 thf(f55,plain,(
% 0.37/0.29 ($false = ((h @ $false))) | ~spl4_5),
% 0.37/0.29 inference(avatar_component_clause,[],[f53])).
% 0.37/0.29 thf(f56,plain,(
% 0.37/0.29 spl4_4 | spl4_5),
% 0.37/0.29 inference(avatar_split_clause,[],[f21,f53,f48])).
% 0.37/0.29 thf(f58,definition,(
% 0.37/0.29 spl4_6 <=> ($true = ((h @ $false)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition])).
% 0.37/0.29 thf(f60,plain,(
% 0.37/0.29 ($true = ((h @ $false))) | ~spl4_6),
% 0.37/0.29 inference(avatar_component_clause,[],[f58])).
% 0.37/0.29 thf(f61,plain,(
% 0.37/0.29 spl4_2 | spl4_6),
% 0.37/0.29 inference(avatar_split_clause,[],[f20,f58,f39])).
% 0.37/0.29 thf(f63,definition,(
% 0.37/0.29 spl4_7 <=> ($true = sF1)),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition])).
% 0.37/0.29 thf(f65,plain,(
% 0.37/0.29 ($true = sF1) | ~spl4_7),
% 0.37/0.29 inference(avatar_component_clause,[],[f63])).
% 0.37/0.29 thf(f67,definition,(
% 0.37/0.29 spl4_8 <=> (((h @ $true)) = $false)),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition])).
% 0.37/0.29 thf(f69,plain,(
% 0.37/0.29 (((h @ $true)) = $false) | ~spl4_8),
% 0.37/0.29 inference(avatar_component_clause,[],[f67])).
% 0.37/0.29 thf(f70,plain,(
% 0.37/0.29 spl4_7 | spl4_8),
% 0.37/0.29 inference(avatar_split_clause,[],[f23,f67,f63])).
% 0.37/0.29 thf(f72,definition,(
% 0.37/0.29 spl4_9 <=> ($false = sF1)),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition])).
% 0.37/0.29 thf(f74,plain,(
% 0.37/0.29 ($false = sF1) | ~spl4_9),
% 0.37/0.29 inference(avatar_component_clause,[],[f72])).
% 0.37/0.29 thf(f76,definition,(
% 0.37/0.29 spl4_10 <=> ($true = ((h @ $true)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition])).
% 0.37/0.29 thf(f78,plain,(
% 0.37/0.29 ($true = ((h @ $true))) | ~spl4_10),
% 0.37/0.29 inference(avatar_component_clause,[],[f76])).
% 0.37/0.29 thf(f79,plain,(
% 0.37/0.29 spl4_9 | spl4_10),
% 0.37/0.29 inference(avatar_split_clause,[],[f22,f76,f72])).
% 0.37/0.29 thf(f87,definition,(
% 0.37/0.29 spl4_12 <=> ($false = sF2)),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition])).
% 0.37/0.29 thf(f89,plain,(
% 0.37/0.29 ($false = sF2) | ~spl4_12),
% 0.37/0.29 inference(avatar_component_clause,[],[f87])).
% 0.37/0.29 thf(f90,plain,(
% 0.37/0.29 spl4_7 | spl4_12 | spl4_2),
% 0.37/0.29 inference(avatar_split_clause,[],[f31,f39,f87,f63])).
% 0.37/0.29 thf(f91,plain,(
% 0.37/0.29 spl4_9 | spl4_12 | spl4_4),
% 0.37/0.29 inference(avatar_split_clause,[],[f30,f48,f87,f72])).
% 0.37/0.29 thf(f93,definition,(
% 0.37/0.29 spl4_13 <=> ($false = ((h @ sF2)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition])).
% 0.37/0.29 thf(f95,plain,(
% 0.37/0.29 ($false = ((h @ sF2))) | ~spl4_13),
% 0.37/0.29 inference(avatar_component_clause,[],[f93])).
% 0.37/0.29 thf(f96,plain,(
% 0.37/0.29 spl4_3 | spl4_13),
% 0.37/0.29 inference(avatar_split_clause,[],[f33,f93,f44])).
% 0.37/0.29 thf(f98,definition,(
% 0.37/0.29 spl4_14 <=> ($true = ((h @ sF2)))),
% 0.37/0.29 introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition])).
% 0.37/0.29 thf(f100,plain,(
% 0.37/0.29 ($true = ((h @ sF2))) | ~spl4_14),
% 0.37/0.29 inference(avatar_component_clause,[],[f98])).
% 0.37/0.29 thf(f101,plain,(
% 0.37/0.29 spl4_1 | spl4_14),
% 0.37/0.29 inference(avatar_split_clause,[],[f32,f98,f35])).
% 0.37/0.29 thf(f102,plain,(
% 0.37/0.29 ($true = $false) | (~spl4_2 | ~spl4_4)),
% 0.37/0.29 inference(forward_demodulation,[],[f50,f41])).
% 0.37/0.29 thf(f103,plain,(
% 0.37/0.29 $false | (~spl4_2 | ~spl4_4)),
% 0.37/0.29 inference(trivial_inequality_removal,[],[f102])).
% 0.37/0.29 thf(f104,plain,(
% 0.37/0.29 ~spl4_2 | ~spl4_4),
% 0.37/0.29 inference(avatar_contradiction_clause,[],[f103])).
% 0.37/0.29 thf(f115,plain,(
% 0.37/0.29 ($true = $false) | (~spl4_1 | ~spl4_3)),
% 0.37/0.29 inference(constrained_superposition,[],[f46,f37])).
% 0.37/0.29 thf(f119,plain,(
% 0.37/0.29 $false | (~spl4_1 | ~spl4_3)),
% 0.37/0.29 inference(trivial_inequality_removal,[],[f115])).
% 0.37/0.29 thf(f120,plain,(
% 0.37/0.29 ~spl4_1 | ~spl4_3),
% 0.37/0.29 inference(avatar_contradiction_clause,[],[f119])).
% 0.37/0.29 thf(f125,plain,(
% 0.37/0.29 ($true = $false) | (~spl4_7 | ~spl4_9)),
% 0.37/0.29 inference(constrained_superposition,[],[f65,f74])).
% 0.37/0.29 thf(f126,plain,(
% 0.37/0.29 $false | (~spl4_7 | ~spl4_9)),
% 0.37/0.29 inference(trivial_inequality_removal,[],[f125])).
% 0.37/0.29 thf(f127,plain,(
% 0.37/0.29 ~spl4_7 | ~spl4_9),
% 0.37/0.29 inference(avatar_contradiction_clause,[],[f126])).
% 0.37/0.29 thf(f136,plain,(
% 0.37/0.29 (((h @ $true)) = $false) | ($false = sF2) | ~spl4_13),
% 0.37/0.29 inference(constrained_superposition,[],[f95,f8])).
% 0.37/0.29 thf(f141,plain,(
% 0.37/0.29 ($true = $false) | ($false = sF2) | (~spl4_10 | ~spl4_13)),
% 0.37/0.29 inference(forward_demodulation,[],[f136,f78])).
% 0.37/0.29 thf(f142,plain,(
% 0.37/0.29 ($false = sF2) | (~spl4_10 | ~spl4_13)),
% 0.37/0.29 inference(trivial_inequality_removal,[],[f141])).
% 0.37/0.29 thf(f143,plain,(
% 0.37/0.29 spl4_12 | ~spl4_10 | ~spl4_13),
% 0.37/0.29 inference(avatar_split_clause,[],[f142,f93,f76,f87])).
% 0.37/0.29 thf(f156,plain,(
% 0.37/0.29 ($true = $false) | (~spl4_5 | ~spl4_6)),
% 0.37/0.29 inference(constrained_superposition,[],[f55,f60])).
% 0.37/0.29 thf(f160,plain,(
% 0.37/0.29 $false | (~spl4_5 | ~spl4_6)),
% 0.37/0.29 inference(trivial_inequality_removal,[],[f156])).
% 0.37/0.29 thf(f161,plain,(
% 0.37/0.29 ~spl4_5 | ~spl4_6),
% 0.37/0.29 inference(avatar_contradiction_clause,[],[f160])).
% 0.37/0.29 thf(f174,plain,(
% 0.37/0.29 ($true = ((h @ $true))) | ($false = sF2) | ~spl4_14),
% 0.37/0.29 inference(constrained_superposition,[],[f100,f8])).
% 0.37/0.29 thf(f179,plain,(
% 0.37/0.29 ($true = $false) | ($false = sF2) | (~spl4_8 | ~spl4_14)),
% 0.37/0.29 inference(forward_demodulation,[],[f174,f69])).
% 0.37/0.29 thf(f180,plain,(
% 0.37/0.29 ($false = sF2) | (~spl4_8 | ~spl4_14)),
% 0.37/0.29 inference(trivial_inequality_removal,[],[f179])).
% 0.37/0.29 thf(f181,plain,(
% 0.37/0.29 spl4_12 | ~spl4_8 | ~spl4_14),
% 0.37/0.29 inference(avatar_split_clause,[],[f180,f98,f67,f87])).
% 0.37/0.29 thf(f187,plain,(
% 0.37/0.29 ($true = ((h @ $false))) | (~spl4_12 | ~spl4_14)),
% 0.37/0.29 inference(constrained_superposition,[],[f100,f89])).
% 0.37/0.29 thf(f194,plain,(
% 0.37/0.29 ($true = $false) | (~spl4_5 | ~spl4_12 | ~spl4_14)),
% 0.37/0.29 inference(forward_demodulation,[],[f187,f55])).
% 0.37/0.29 thf(f195,plain,(
% 0.37/0.29 $false | (~spl4_5 | ~spl4_12 | ~spl4_14)),
% 0.37/0.29 inference(trivial_inequality_removal,[],[f194])).
% 0.37/0.29 thf(f196,plain,(
% 0.37/0.29 ~spl4_5 | ~spl4_12 | ~spl4_14),
% 0.37/0.29 inference(avatar_contradiction_clause,[],[f195])).
% 0.37/0.29 thf(f202,plain,(
% 0.37/0.29 ($false = ((h @ $false))) | (~spl4_12 | ~spl4_13)),
% 0.37/0.29 inference(forward_demodulation,[],[f95,f89])).
% 0.37/0.29 thf(f203,plain,(
% 0.37/0.29 $false | (spl4_5 | ~spl4_12 | ~spl4_13)),
% 0.37/0.29 inference(forward_subsumption_resolution,[],[f202,f54])).
% 0.37/0.29 thf(f204,plain,(
% 0.37/0.29 spl4_5 | ~spl4_12 | ~spl4_13),
% 0.37/0.29 inference(avatar_contradiction_clause,[],[f203])).
% 0.37/0.29 cnf(s1, plain, spl4_1 | spl4_2, inference(sat_conversion,[],[f42])).
% 0.37/0.29 cnf(s2, plain, spl4_3 | spl4_4, inference(sat_conversion,[],[f51])).
% 0.37/0.29 cnf(s3, plain, spl4_4 | spl4_5, inference(sat_conversion,[],[f56])).
% 0.37/0.29 cnf(s4, plain, spl4_2 | spl4_6, inference(sat_conversion,[],[f61])).
% 0.37/0.29 cnf(s5, plain, spl4_7 | spl4_8, inference(sat_conversion,[],[f70])).
% 0.37/0.29 cnf(s6, plain, spl4_9 | spl4_10, inference(sat_conversion,[],[f79])).
% 0.37/0.29 cnf(s9, plain, spl4_2 | spl4_7 | spl4_12, inference(sat_conversion,[],[f90])).
% 0.37/0.29 cnf(s10, plain, spl4_4 | spl4_9 | spl4_12, inference(sat_conversion,[],[f91])).
% 0.37/0.29 cnf(s11, plain, spl4_3 | spl4_13, inference(sat_conversion,[],[f96])).
% 0.37/0.29 cnf(s12, plain, spl4_1 | spl4_14, inference(sat_conversion,[],[f101])).
% 0.37/0.29 cnf(s13, plain, ~spl4_2 | ~spl4_4, inference(sat_conversion,[],[f104])).
% 0.37/0.29 cnf(s15, plain, ~spl4_1 | ~spl4_3, inference(sat_conversion,[],[f120])).
% 0.37/0.29 cnf(s16, plain, ~spl4_7 | ~spl4_9, inference(sat_conversion,[],[f127])).
% 0.37/0.29 cnf(s19, plain, ~spl4_10 | spl4_12 | ~spl4_13, inference(sat_conversion,[],[f143])).
% 0.37/0.29 cnf(s21, plain, ~spl4_5 | ~spl4_6, inference(sat_conversion,[],[f161])).
% 0.37/0.29 cnf(s25, plain, ~spl4_8 | spl4_12 | ~spl4_14, inference(sat_conversion,[],[f181])).
% 0.37/0.29 cnf(s28, plain, ~spl4_5 | ~spl4_12 | ~spl4_14, inference(sat_conversion,[],[f196])).
% 0.37/0.29 cnf(s30, plain, spl4_5 | ~spl4_12 | ~spl4_13, inference(sat_conversion,[],[f204])).
% 0.37/0.29 cnf(s31, plain, spl4_1, inference(rat,[],[s16,s5,s10,s25,s28,s3,s13,s1,s12])).
% 0.37/0.29 cnf(s32, plain, ~spl4_3, inference(rat,[],[s15,s31])).
% 0.37/0.29 cnf(s33, plain, spl4_13, inference(rat,[],[s11,s32])).
% 0.37/0.29 cnf(s34, plain, spl4_4, inference(rat,[],[s2,s32])).
% 0.37/0.29 cnf(s35, plain, ~spl4_2, inference(rat,[],[s13,s34])).
% 0.37/0.29 cnf(s36, plain, spl4_6, inference(rat,[],[s4,s35])).
% 0.37/0.29 cnf(s37, plain, ~spl4_5, inference(rat,[],[s21,s36])).
% 0.37/0.29 cnf(s38, plain, ~spl4_12, inference(rat,[],[s30,s33,s37])).
% 0.37/0.29 cnf(s39, plain, ~spl4_10, inference(rat,[],[s19,s33,s38])).
% 0.37/0.29 cnf(s40, plain, spl4_7, inference(rat,[],[s9,s35,s38])).
% 0.37/0.29 cnf(s41, plain, spl4_9, inference(rat,[],[s6,s39])).
% 0.37/0.29 cnf(s42, plain, $false, inference(rat,[],[s16,s41,s40])).
% 0.37/0.29 thf(f205,plain,(
% 0.37/0.29 $false),
% 0.37/0.29 inference(avatar_sat_refutation,[],[s42])).
% 0.37/0.29 % SZS output end Proof for theBenchmark
% 0.37/0.29 % (7719)------------------------------
% 0.37/0.29 % (7719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.29 % (7719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.29 % (7719)CaDiCaL version: 2.1.3
% 0.37/0.29 % (7719)Termination reason: Refutation
% 0.37/0.29 % (7719)Time elapsed: 0.005 s
% 0.37/0.29 % (7719)Peak memory usage: 13 MB
% 0.37/0.29 % (7719)Instructions burned: 6 (million)
% 0.37/0.29 % (7669)Success in time 0.075 s
% 0.37/0.29 % Vampire exiting
%------------------------------------------------------------------------------