%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR126^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:47:15 AM UTC 2026
% Result : Theorem 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR126^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:58:34 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.20/0.37 % (3886137)Will run a generic schedule for satisfiability detection.
% 0.20/0.37 % (3886147)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2892425291:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.37 % (3886143)% WARNING: option uhcvi not known.
% 0.20/0.37 % (3886143)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3628398153:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.37 % (3886142)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1599892753_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.37 % (3886144)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=814428275:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.37 % (3886145)dis+10_1_sil=32000:sp=arity:random_seed=2057870890:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.37 % (3886146)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1722063901:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.37 % (3886143)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.37 % (3886146)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.37 % Exception at run slice level
% 0.20/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.37 % (3886143)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.37 % (3886148)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2929912628:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.37 % (3886147)Instruction limit reached!
% 0.20/0.37 % (3886147)------------------------------
% 0.20/0.37 % (3886147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (3886147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (3886147)CaDiCaL version: 2.1.3
% 0.20/0.37 % (3886147)Termination reason: Instruction limit
% 0.20/0.37 % (3886147)Termination phase: Saturation
% 0.20/0.37 % (3886147)Time elapsed: 0.031 s
% 0.20/0.37 % (3886147)Peak memory usage: 12 MB
% 0.20/0.37 % (3886147)Instructions burned: 134 (million)
% 0.20/0.37 % (3886155)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1468266512:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.37 % Exception at run slice level
% 0.20/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.37 % (3886157)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=841476621:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.37 % (3886145)Instruction limit reached!
% 0.20/0.37 % (3886145)------------------------------
% 0.20/0.37 % (3886145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (3886145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (3886145)CaDiCaL version: 2.1.3
% 0.20/0.37 % (3886145)Termination reason: Instruction limit
% 0.20/0.37 % (3886145)Termination phase: Saturation
% 0.20/0.37 % (3886145)Time elapsed: 0.045 s
% 0.20/0.37 % (3886145)Peak memory usage: 12 MB
% 0.20/0.37 % (3886145)Instructions burned: 104 (million)
% 0.20/0.37 % (3886146)Instruction limit reached!
% 0.20/0.37 % (3886146)------------------------------
% 0.20/0.37 % (3886146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (3886146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (3886146)CaDiCaL version: 2.1.3
% 0.20/0.37 % (3886146)Termination reason: Instruction limit
% 0.20/0.37 % (3886146)Termination phase: Saturation
% 0.20/0.37 % (3886146)Time elapsed: 0.050 s
% 0.20/0.37 % (3886146)Peak memory usage: 12 MB
% 0.20/0.37 % (3886146)Instructions burned: 116 (million)
% 0.20/0.37 % (3886160)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=2110987633:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.20/0.37 % (3886160)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.37 % (3886160)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.37 % (3886161)ott-21_1_sil=16000:fs=off:random_seed=2923092904:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/0.37 % (3886157)Instruction limit reached!
% 0.20/0.37 % (3886157)------------------------------
% 0.20/0.37 % (3886157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (3886157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (3886157)CaDiCaL version: 2.1.3
% 0.20/0.37 % (3886157)Termination reason: Instruction limit
% 0.20/0.37 % (3886157)Termination phase: Saturation
% 0.20/0.37 % (3886157)Time elapsed: 0.032 s
% 0.20/0.37 % (3886157)Peak memory usage: 12 MB
% 0.20/0.37 % (3886157)Instructions burned: 134 (million)
% 0.20/0.37 % (3886162)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1555587976:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.20/0.37 % (3886160) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3886137-3886160"...
% 0.20/0.37 % (3886165)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1750344615:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.20/0.37 % (3886160)...printing done.
% 0.20/0.37 % (3886160)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% 0.20/0.37 thf(type_def_5, type, num: $tType).
% 0.20/0.37 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.37 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.20/0.37 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.20/0.37 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.20/0.37 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.20/0.37 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.20/0.37 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.20/0.37 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.20/0.37 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.20/0.37 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.20/0.37 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.20/0.37 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.20/0.37 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.20/0.37 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.20/0.37 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.20/0.37 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.37 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.37 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.37 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.20/0.37 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.20/0.37 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.37 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.37 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.20/0.37 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.20/0.37 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.20/0.37 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.20/0.37 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.37 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.20/0.37 thf(func_def_92, type, vIMP: ($o > $o > $o)).
% 0.20/0.37 thf(func_def_93, type, vAND: ($o > $o > $o)).
% 0.20/0.37 thf(func_def_94, type, sK0: (($i > $i > $o) > $i)).
% 0.20/0.37 thf(func_def_95, type, sK1: (($i > $i > $o) > $i)).
% 0.20/0.37 thf(func_def_96, type, sK2: (($i > $i > $o) > $i)).
% 0.20/0.37 thf(func_def_98, type, sK4: (($i > $i > $o) > $i)).
% 0.20/0.37 thf(func_def_99, type, sK5: ($i > $i > $i)).
% 0.20/0.37 thf(f6,axiom,(
% 0.20/0.37 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
% 0.20/0.37 thf(f24,axiom,(
% 0.20/0.37 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023)).
% 0.20/0.37 thf(f192,conjecture,(
% 0.20/0.37 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.37 thf(f193,negated_conjecture,(
% 0.20/0.37 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.37 inference(negated_conjecture,[status(cth)],[f192])).
% 0.20/0.37 thf(f204,plain,(
% 0.20/0.37 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.20/0.37 inference(rectify,[],[f6])).
% 0.20/0.37 thf(f205,plain,(
% 0.20/0.37 ! [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))),
% 0.20/0.37 inference(fool_elimination,[],[f204])).
% 0.20/0.37 thf(f240,plain,(
% 0.20/0.37 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.37 inference(rectify,[],[f24])).
% 0.20/0.37 thf(f241,plain,(
% 0.20/0.37 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.37 inference(fool_elimination,[],[f240])).
% 0.20/0.37 thf(f574,plain,(
% 0.20/0.37 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.37 inference(rectify,[],[f193])).
% 0.20/0.37 thf(f575,plain,(
% 0.20/0.37 ~ (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.37 inference(fool_elimination,[],[f574])).
% 0.20/0.37 thf(f576,plain,(
% 0.20/0.37 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.20/0.37 inference(flattening,[],[f575])).
% 0.20/0.37 thf(f644,plain,(
% 0.20/0.37 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))))) )),
% 0.20/0.37 inference(cnf_transformation,[],[f205])).
% 0.20/0.37 thf(f665,plain,(
% 0.20/0.37 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)) )),
% 0.20/0.37 inference(cnf_transformation,[],[f241])).
% 0.20/0.37 thf(f836,plain,(
% 0.20/0.37 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.20/0.37 inference(cnf_transformation,[],[f576])).
% 0.20/0.37 thf(f838,definition,(
% 0.20/0.37 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.20/0.37 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.20/0.37 thf(f855,plain,(
% 0.20/0.37 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.37 inference(constrained_superposition,[],[f836,f838])).
% 0.20/0.37 thf(f856,plain,(
% 0.20/0.37 ($true != $true) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $false)),
% 0.20/0.37 inference(constrained_superposition,[],[f836,f838])).
% 0.20/0.37 thf(f858,plain,(
% 0.20/0.37 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $false)),
% 0.20/0.37 inference(trivial_inequality_removal,[],[f856])).
% 0.20/0.37 thf(f864,definition,(
% 0.20/0.37 spl6_1 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.37 introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition])).
% 0.20/0.37 thf(f866,plain,(
% 0.20/0.37 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_1),
% 0.20/0.37 inference(avatar_component_clause,[],[f864])).
% 0.20/0.37 thf(f868,definition,(
% 0.20/0.37 spl6_2 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 0.20/0.37 introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition])).
% 0.20/0.37 thf(f870,plain,(
% 0.20/0.37 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | spl6_2),
% 0.20/0.37 inference(avatar_component_clause,[],[f868])).
% 0.20/0.37 thf(f871,plain,(
% 0.20/0.37 spl6_1 | ~spl6_2),
% 0.20/0.37 inference(avatar_split_clause,[],[f855,f868,f864])).
% 0.20/0.37 thf(f872,plain,(
% 0.20/0.37 ( ! [X0 : $o] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0)) != X0) | ($false = X0)) ) | spl6_2),
% 0.20/0.37 inference(constrained_superposition,[],[f870,f838])).
% 0.20/0.37 thf(f876,plain,(
% 0.20/0.37 ( ! [X0 : $o] : (($false = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0))) | ($false = X0) | ($false = X0)) ) | spl6_2),
% 0.20/0.37 inference(xor_proxy_clausification,[],[f872])).
% 0.20/0.37 thf(f877,plain,(
% 0.20/0.37 ( ! [X0 : $o] : (($false = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X0))) | ($false = X0)) ) | spl6_2),
% 0.20/0.37 inference(duplicate_literal_removal,[],[f876])).
% 0.20/0.37 thf(f892,plain,(
% 0.20/0.37 ($true = $false) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | spl6_2),
% 0.20/0.37 inference(constrained_superposition,[],[f877,f665])).
% 0.20/0.37 thf(f893,plain,(
% 0.20/0.37 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | spl6_2),
% 0.20/0.37 inference(trivial_inequality_removal,[],[f892])).
% 0.20/0.37 thf(f909,plain,(
% 0.20/0.37 ($false = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl6_1),
% 0.20/0.37 inference(constrained_superposition,[],[f858,f866])).
% 0.20/0.37 thf(f925,plain,(
% 0.20/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) => $false)))) | ~spl6_1),
% 0.20/0.37 inference(constrained_superposition,[],[f644,f866])).
% 0.20/0.37 thf(f933,plain,(
% 0.20/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | ~spl6_1),
% 0.20/0.37 inference(boolean_simplification,[],[f925])).
% 0.20/0.37 thf(f934,plain,(
% 0.20/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_1),
% 0.20/0.37 inference(constrained_superposition,[],[f933,f838])).
% 0.20/0.37 thf(f937,plain,(
% 0.20/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_1),
% 0.20/0.37 inference(boolean_simplification,[],[f934])).
% 0.20/0.37 thf(f938,plain,(
% 0.20/0.37 ($true = $false) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_1),
% 0.20/0.37 inference(forward_demodulation,[],[f937,f909])).
% 0.20/0.37 thf(f939,plain,(
% 0.20/0.37 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_1),
% 0.20/0.37 inference(trivial_inequality_removal,[],[f938])).
% 0.20/0.37 thf(f943,plain,(
% 0.20/0.37 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $false)))) ) | ~spl6_1),
% 0.20/0.37 inference(constrained_superposition,[],[f665,f939])).
% 0.20/0.37 thf(f947,plain,(
% 0.20/0.37 ($true = $false) | ~spl6_1),
% 0.20/0.37 inference(constrained_superposition,[],[f943,f909])).
% 0.20/0.37 thf(f951,plain,(
% 0.20/0.37 $false | ~spl6_1),
% 0.20/0.37 inference(trivial_inequality_removal,[],[f947])).
% 0.20/0.37 thf(f952,plain,(
% 0.20/0.37 ~spl6_1),
% 0.20/0.37 inference(avatar_contradiction_clause,[],[f951])).
% 0.20/0.37 thf(f974,plain,(
% 0.20/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))) | spl6_2),
% 0.20/0.37 inference(constrained_superposition,[],[f644,f893])).
% 0.20/0.37 thf(f976,plain,(
% 0.20/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | spl6_2),
% 0.20/0.37 inference(boolean_simplification,[],[f974])).
% 0.20/0.37 thf(f988,plain,(
% 0.20/0.37 $false | spl6_2),
% 0.20/0.37 inference(forward_subsumption_resolution,[],[f976,f870])).
% 0.20/0.37 thf(f989,plain,(
% 0.20/0.37 spl6_2),
% 0.20/0.37 inference(avatar_contradiction_clause,[],[f988])).
% 0.20/0.37 cnf(s1, plain, spl6_1 | ~spl6_2, inference(sat_conversion,[],[f871])).
% 0.20/0.37 cnf(s5, plain, ~spl6_1, inference(sat_conversion,[],[f952])).
% 0.20/0.37 cnf(s12, plain, spl6_2, inference(sat_conversion,[],[f989])).
% 0.20/0.37 cnf(s16, plain, $false, inference(rat,[],[s1,s12,s5])).
% 0.20/0.37 thf(f990,plain,(
% 0.20/0.37 $false),
% 0.20/0.37 inference(avatar_sat_refutation,[],[s16])).
% 0.20/0.37 % SZS output end Proof for theBenchmark
% 0.20/0.37 % (3886160)------------------------------
% 0.20/0.37 % (3886160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (3886160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (3886160)CaDiCaL version: 2.1.3
% 0.20/0.37 % (3886160)Termination reason: Refutation
% 0.20/0.37 % (3886160)Time elapsed: 0.023 s
% 0.20/0.37 % (3886160)Peak memory usage: 13 MB
% 0.20/0.37 % (3886160)Instructions burned: 46 (million)
% 0.20/0.37 % (3886137)Success in time 0.121 s
% 0.20/0.37 % Vampire exiting
%------------------------------------------------------------------------------