%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR128^2 : 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 : n020.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 07:47:16 AM UTC 2026
% Result : Theorem 0.87s 0.37s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR128^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 17:56:20 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.87/0.37 % (1388590)Will run a generic schedule for satisfiability detection.
% 0.87/0.37 % (1388605)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1230626599_2999 on theBenchmark for (2999ds/0Mi)
% 0.87/0.37 % (1388606)% WARNING: option uhcvi not known.
% 0.87/0.37 % Exception at run slice level
% 0.87/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.87/0.37 % (1388606)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4042451109:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.87/0.37 % (1388607)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4045438090:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.87/0.37 % (1388608)dis+10_1_sil=32000:sp=arity:random_seed=3827421526:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.87/0.37 % (1388609)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=579311586:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.87/0.37 % (1388610)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1364282443:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.37 % (1388611)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2205433331:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.87/0.37 % (1388606)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.87/0.37 % (1388609)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.87/0.37 % (1388622)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2460019246:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.87/0.37 % (1388606)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.87/0.37 % Exception at run slice level
% 0.87/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.87/0.37 % (1388633)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2421064173:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.37 % (1388608)Instruction limit reached!
% 0.87/0.37 % (1388608)------------------------------
% 0.87/0.37 % (1388608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.37 % (1388608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.37 % (1388608)CaDiCaL version: 2.1.3
% 0.87/0.37 % (1388608)Termination reason: Instruction limit
% 0.87/0.37 % (1388608)Termination phase: Saturation
% 0.87/0.37 % (1388608)Time elapsed: 0.045 s
% 0.87/0.37 % (1388608)Peak memory usage: 12 MB
% 0.87/0.37 % (1388608)Instructions burned: 104 (million)
% 0.87/0.37 % (1388609)Instruction limit reached!
% 0.87/0.37 % (1388609)------------------------------
% 0.87/0.37 % (1388609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.37 % (1388609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.37 % (1388609)CaDiCaL version: 2.1.3
% 0.87/0.37 % (1388609)Termination reason: Instruction limit
% 0.87/0.37 % (1388609)Termination phase: Saturation
% 0.87/0.37 % (1388609)Time elapsed: 0.049 s
% 0.87/0.37 % (1388609)Peak memory usage: 12 MB
% 0.87/0.37 % (1388609)Instructions burned: 116 (million)
% 0.87/0.37 % (1388633)Instruction limit reached!
% 0.87/0.37 % (1388633)------------------------------
% 0.87/0.37 % (1388633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.37 % (1388633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.37 % (1388633)CaDiCaL version: 2.1.3
% 0.87/0.37 % (1388633)Termination reason: Instruction limit
% 0.87/0.37 % (1388633)Termination phase: Saturation
% 0.87/0.37 % (1388633)Time elapsed: 0.031 s
% 0.87/0.37 % (1388633)Peak memory usage: 12 MB
% 0.87/0.37 % (1388633)Instructions burned: 132 (million)
% 0.87/0.37 % (1388641)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=778698462:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.87/0.37 % (1388645)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1300269653:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.87/0.37 % (1388643)ott-21_1_sil=16000:fs=off:random_seed=2236128979:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.87/0.37 % (1388611)Instruction limit reached!
% 0.87/0.37 % (1388611)------------------------------
% 0.87/0.37 % (1388611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.37 % (1388611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.37 % (1388611)CaDiCaL version: 2.1.3
% 0.87/0.37 % (1388611)Termination reason: Instruction limit
% 0.87/0.37 % (1388611)Termination phase: Saturation
% 0.87/0.37 % (1388611)Time elapsed: 0.069 s
% 0.87/0.37 % (1388611)Peak memory usage: 12 MB
% 0.87/0.37 % (1388611)Instructions burned: 159 (million)
% 0.87/0.37 % (1388641)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.87/0.37 % (1388610)Instruction limit reached!
% 0.87/0.37 % (1388610)------------------------------
% 0.87/0.37 % (1388610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.37 % (1388610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.37 % (1388610)CaDiCaL version: 2.1.3
% 0.87/0.37 % (1388610)Termination reason: Instruction limit
% 0.87/0.37 % (1388610)Termination phase: Saturation
% 0.87/0.37 % (1388610)Time elapsed: 0.074 s
% 0.87/0.37 % (1388610)Peak memory usage: 12 MB
% 0.87/0.37 % (1388610)Instructions burned: 133 (million)
% 0.87/0.37 % (1388641)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.87/0.37 % (1388654)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3777906962:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.87/0.37 % (1388641) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1388590-1388641"...
% 0.87/0.37 % (1388641)...printing done.
% 0.87/0.37 % (1388641)Refutation found. Thanks to Tanya!
% 0.87/0.37 % SZS status Theorem for theBenchmark
% 0.87/0.37 % SZS output start Proof for theBenchmark
% 0.87/0.37 thf(type_def_5, type, num: $tType).
% 0.87/0.37 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.87/0.37 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.87/0.37 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.87/0.37 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.87/0.37 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.87/0.37 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.87/0.37 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.87/0.37 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.87/0.37 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.87/0.37 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.87/0.37 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.87/0.37 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.87/0.37 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.87/0.37 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.87/0.37 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.87/0.37 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.87/0.37 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.87/0.37 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.87/0.37 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.87/0.37 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.87/0.37 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.87/0.37 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.87/0.37 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.87/0.37 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.87/0.37 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.87/0.37 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.87/0.37 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.87/0.37 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.87/0.37 thf(func_def_92, type, vIMP: ($o > $o > $o)).
% 0.87/0.37 thf(func_def_93, type, vAND: ($o > $o > $o)).
% 0.87/0.37 thf(func_def_94, type, sK0: (($i > $i > $o) > $i)).
% 0.87/0.37 thf(func_def_95, type, sK1: (($i > $i > $o) > $i)).
% 0.87/0.37 thf(func_def_96, type, sK2: (($i > $i > $o) > $i)).
% 0.87/0.37 thf(func_def_98, type, sK4: (($i > $i > $o) > $i)).
% 0.87/0.37 thf(func_def_99, type, sK5: ($i > $i > $i)).
% 0.87/0.37 thf(f6,axiom,(
% 0.87/0.37 ! [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))),
% 0.87/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
% 0.87/0.37 thf(f36,axiom,(
% 0.87/0.37 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.87/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_035)).
% 0.87/0.37 thf(f191,conjecture,(
% 0.87/0.37 ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 0.87/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.87/0.37 thf(f192,negated_conjecture,(
% 0.87/0.37 ~ ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 0.87/0.37 inference(negated_conjecture,[status(cth)],[f191])).
% 0.87/0.37 thf(f203,plain,(
% 0.87/0.37 ! [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))),
% 0.87/0.37 inference(rectify,[],[f6])).
% 0.87/0.37 thf(f204,plain,(
% 0.87/0.37 ! [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)))))),
% 0.87/0.37 inference(fool_elimination,[],[f203])).
% 0.87/0.37 thf(f263,plain,(
% 0.87/0.37 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.87/0.37 inference(rectify,[],[f36])).
% 0.87/0.37 thf(f264,plain,(
% 0.87/0.37 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.87/0.37 inference(fool_elimination,[],[f263])).
% 0.87/0.37 thf(f571,plain,(
% 0.87/0.37 ~ ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))),
% 0.87/0.37 inference(rectify,[],[f192])).
% 0.87/0.37 thf(f572,plain,(
% 0.87/0.37 ~ ? [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) = $true)),
% 0.87/0.37 inference(fool_elimination,[],[f571])).
% 0.87/0.37 thf(f623,plain,(
% 0.87/0.37 ! [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) != $true)),
% 0.87/0.37 inference(ennf_transformation,[],[f572])).
% 0.87/0.37 thf(f641,plain,(
% 0.87/0.37 ( ! [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)))))) )),
% 0.87/0.37 inference(cnf_transformation,[],[f204])).
% 0.87/0.37 thf(f676,plain,(
% 0.87/0.37 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.87/0.37 inference(cnf_transformation,[],[f264])).
% 0.87/0.37 thf(f832,plain,(
% 0.87/0.37 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) != $true)) )),
% 0.87/0.37 inference(cnf_transformation,[],[f623])).
% 0.87/0.37 thf(f834,definition,(
% 0.87/0.37 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.87/0.37 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.87/0.37 thf(f853,plain,(
% 0.87/0.37 ( ! [X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)) )),
% 0.87/0.37 inference(constrained_superposition,[],[f832,f834])).
% 0.87/0.37 thf(f856,plain,(
% 0.87/0.37 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) = $false)) )),
% 0.87/0.37 inference(constrained_superposition,[],[f832,f834])).
% 0.87/0.37 thf(f864,plain,(
% 0.87/0.37 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))) = $false)) )),
% 0.87/0.37 inference(trivial_inequality_removal,[],[f856])).
% 0.87/0.37 thf(f880,definition,(
% 0.87/0.37 spl6_3 <=> ! [X1 : $i] : (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)),
% 0.87/0.37 introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition])).
% 0.87/0.37 thf(f881,plain,(
% 0.87/0.37 ( ! [X1 : $i] : ((((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)) = $false)) ) | ~spl6_3),
% 0.87/0.37 inference(avatar_component_clause,[],[f880])).
% 0.87/0.37 thf(f883,definition,(
% 0.87/0.37 spl6_4 <=> ! [X0 : $i] : ($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))),
% 0.87/0.37 introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition])).
% 0.87/0.37 thf(f884,plain,(
% 0.87/0.37 ( ! [X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))) ) | ~spl6_4),
% 0.87/0.37 inference(avatar_component_clause,[],[f883])).
% 0.87/0.37 thf(f885,plain,(
% 0.87/0.37 spl6_3 | spl6_4),
% 0.87/0.37 inference(avatar_split_clause,[],[f853,f883,f880])).
% 0.87/0.37 thf(f886,plain,(
% 0.87/0.37 ( ! [X0 : $o,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) != X0) | ($false = X0)) ) | ~spl6_4),
% 0.87/0.37 inference(constrained_superposition,[],[f884,f834])).
% 0.87/0.37 thf(f890,plain,(
% 0.87/0.37 ( ! [X0 : $o,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $false) | ($false = X0) | ($false = X0)) ) | ~spl6_4),
% 0.87/0.37 inference(xor_proxy_clausification,[],[f886])).
% 0.87/0.37 thf(f891,plain,(
% 0.87/0.37 ( ! [X0 : $o,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $false) | ($false = X0)) ) | ~spl6_4),
% 0.87/0.37 inference(duplicate_literal_removal,[],[f890])).
% 0.87/0.37 thf(f900,plain,(
% 0.87/0.37 ($true = $false) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_4),
% 0.87/0.37 inference(constrained_superposition,[],[f676,f891])).
% 0.87/0.37 thf(f905,plain,(
% 0.87/0.37 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_4),
% 0.87/0.37 inference(trivial_inequality_removal,[],[f900])).
% 0.87/0.37 thf(f1029,plain,(
% 0.87/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))) | ~spl6_4),
% 0.87/0.37 inference(constrained_superposition,[],[f641,f905])).
% 0.87/0.37 thf(f1030,plain,(
% 0.87/0.37 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.87/0.37 inference(constrained_superposition,[],[f641,f834])).
% 0.87/0.37 thf(f1054,plain,(
% 0.87/0.37 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.87/0.37 inference(boolean_simplification,[],[f1030])).
% 0.87/0.37 thf(f1055,plain,(
% 0.87/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ~spl6_4),
% 0.87/0.37 inference(boolean_simplification,[],[f1029])).
% 0.87/0.37 thf(f1059,plain,(
% 0.87/0.37 ( ! [X0 : $i] : ((((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)) = $false)) )),
% 0.87/0.37 inference(forward_subsumption_resolution,[],[f1054,f832])).
% 0.87/0.37 thf(f1060,plain,(
% 0.87/0.37 $false | ~spl6_4),
% 0.87/0.37 inference(forward_subsumption_resolution,[],[f1055,f884])).
% 0.87/0.37 thf(f1061,plain,(
% 0.87/0.37 ~spl6_4),
% 0.87/0.37 inference(avatar_contradiction_clause,[],[f1060])).
% 0.87/0.37 thf(f1074,plain,(
% 0.87/0.37 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.87/0.37 inference(constrained_superposition,[],[f676,f1059])).
% 0.87/0.37 thf(f1080,plain,(
% 0.87/0.37 ( ! [X0 : $i] : (($false = ((holdsDuring_THFTYPE_IiooI @ X0 @ $false)))) ) | ~spl6_3),
% 0.87/0.37 inference(constrained_superposition,[],[f864,f881])).
% 0.87/0.37 thf(f1094,plain,(
% 0.87/0.37 ($true = $false) | ~spl6_3),
% 0.87/0.37 inference(forward_demodulation,[],[f1074,f1080])).
% 0.87/0.37 thf(f1095,plain,(
% 0.87/0.37 $false | ~spl6_3),
% 0.87/0.37 inference(trivial_inequality_removal,[],[f1094])).
% 0.87/0.37 thf(f1096,plain,(
% 0.87/0.37 ~spl6_3),
% 0.87/0.37 inference(avatar_contradiction_clause,[],[f1095])).
% 0.87/0.37 cnf(s2, plain, spl6_3 | spl6_4, inference(sat_conversion,[],[f885])).
% 0.87/0.37 cnf(s3, plain, ~spl6_4, inference(sat_conversion,[],[f1061])).
% 0.87/0.37 cnf(s8, plain, ~spl6_3, inference(sat_conversion,[],[f1096])).
% 0.87/0.37 cnf(s11, plain, $false, inference(rat,[],[s2,s3,s8])).
% 0.87/0.37 thf(f1097,plain,(
% 0.87/0.37 $false),
% 0.87/0.37 inference(avatar_sat_refutation,[],[s11])).
% 0.87/0.37 % SZS output end Proof for theBenchmark
% 0.87/0.37 % (1388641)------------------------------
% 0.87/0.37 % (1388641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.37 % (1388641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.37 % (1388641)CaDiCaL version: 2.1.3
% 0.87/0.37 % (1388641)Termination reason: Refutation
% 0.87/0.37 % (1388641)Time elapsed: 0.029 s
% 0.87/0.37 % (1388641)Peak memory usage: 13 MB
% 0.87/0.37 % (1388641)Instructions burned: 51 (million)
% 0.87/0.37 % (1388590)Success in time 0.145 s
% 0.87/0.37 % Vampire exiting
%------------------------------------------------------------------------------