%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR148^2 : 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 07:47:21 AM UTC 2026
% Result : Theorem 2.92s 0.78s
% Output : Refutation 2.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR148^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n020.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 17:58:04 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.28 Running first-order model finding
% 0.10/0.28 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
% 2.92/0.78 % (1395058)Will run a generic schedule for satisfiability detection.
% 2.92/0.78 % (1395068)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=349986452:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.92/0.78 % (1395063)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3501054697_2999 on theBenchmark for (2999ds/0Mi)
% 2.92/0.78 % (1395064)% WARNING: option uhcvi not known.
% 2.92/0.78 % (1395065)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3051594515:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.92/0.78 % (1395064)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=657005598:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.92/0.78 % (1395066)dis+10_1_sil=32000:sp=arity:random_seed=3276628816:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.92/0.78 % (1395067)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4142029460:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.92/0.78 % (1395069)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=583056213:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.92/0.78 % Exception at run slice level
% 2.92/0.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.92/0.78 % (1395064)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.92/0.78 % (1395067)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.92/0.78 % (1395064)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.92/0.78 % (1395077)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3117833147:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.92/0.78 % (1395068)Instruction limit reached!
% 2.92/0.78 % (1395068)------------------------------
% 2.92/0.78 % (1395068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.78 % (1395068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.78 % (1395068)CaDiCaL version: 2.1.3
% 2.92/0.78 % (1395068)Termination reason: Instruction limit
% 2.92/0.78 % (1395068)Termination phase: Saturation
% 2.92/0.78 % (1395068)Time elapsed: 0.057 s
% 2.92/0.78 % (1395068)Peak memory usage: 12 MB
% 2.92/0.78 % (1395068)Instructions burned: 132 (million)
% 2.92/0.78 % Exception at run slice level
% 2.92/0.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.92/0.78 % (1395079)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3686128102:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.92/0.78 % (1395080)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=526910561:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.92/0.78 % (1395066)Instruction limit reached!
% 2.92/0.78 % (1395066)------------------------------
% 2.92/0.78 % (1395066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.78 % (1395066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.78 % (1395066)CaDiCaL version: 2.1.3
% 2.92/0.78 % (1395066)Termination reason: Instruction limit
% 2.92/0.78 % (1395066)Termination phase: Saturation
% 2.92/0.78 % (1395066)Time elapsed: 0.086 s
% 2.92/0.78 % (1395066)Peak memory usage: 12 MB
% 2.92/0.78 % (1395066)Instructions burned: 103 (million)
% 2.92/0.78 % (1395080)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.92/0.78 % (1395067)Instruction limit reached!
% 2.92/0.78 % (1395067)------------------------------
% 2.92/0.78 % (1395067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.78 % (1395067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.78 % (1395067)CaDiCaL version: 2.1.3
% 2.92/0.78 % (1395067)Termination reason: Instruction limit
% 2.92/0.78 % (1395067)Termination phase: Saturation
% 2.92/0.78 % (1395067)Time elapsed: 0.097 s
% 2.92/0.78 % (1395067)Peak memory usage: 12 MB
% 2.92/0.78 % (1395067)Instructions burned: 117 (million)
% 2.92/0.78 % (1395080)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.92/0.78 % (1395083)ott-21_1_sil=16000:fs=off:random_seed=2630286376:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.92/0.78 % (1395079)Instruction limit reached!
% 2.92/0.78 % (1395079)------------------------------
% 2.92/0.78 % (1395079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.78 % (1395079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.78 % (1395079)CaDiCaL version: 2.1.3
% 2.92/0.78 % (1395079)Termination reason: Instruction limit
% 2.92/0.78 % (1395079)Termination phase: Saturation
% 2.92/0.78 % (1395079)Time elapsed: 0.058 s
% 2.92/0.78 % (1395079)Peak memory usage: 13 MB
% 2.92/0.78 % (1395079)Instructions burned: 133 (million)
% 2.92/0.78 % (1395084)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3392157948:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.92/0.78 % (1395069)Instruction limit reached!
% 2.92/0.78 % (1395069)------------------------------
% 2.92/0.78 % (1395069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.78 % (1395069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.78 % (1395069)CaDiCaL version: 2.1.3
% 2.92/0.78 % (1395069)Termination reason: Instruction limit
% 2.92/0.78 % (1395069)Termination phase: Saturation
% 2.92/0.78 % (1395069)Time elapsed: 0.132 s
% 2.92/0.78 % (1395069)Peak memory usage: 12 MB
% 2.92/0.78 % (1395069)Instructions burned: 159 (million)
% 2.92/0.78 % (1395086)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3063144687:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.92/0.78 % Exception at run slice level
% 2.92/0.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.92/0.78 % (1395088)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1639623101:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.92/0.78 % (1395090)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3341057495:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.92/0.78 % Exception at run slice level
% 2.92/0.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.92/0.78 % (1395093)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=3706758918:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.92/0.78 % (1395093)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.92/0.78 % (1395083)Instruction limit reached!
% 2.92/0.78 % (1395083)------------------------------
% 2.92/0.78 % (1395083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.78 % (1395083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.78 % (1395083)CaDiCaL version: 2.1.3
% 2.92/0.78 % (1395083)Termination reason: Instruction limit
% 2.92/0.78 % (1395083)Termination phase: Saturation
% 2.92/0.78 % (1395083)Time elapsed: 0.149 s
% 2.92/0.78 % (1395083)Peak memory usage: 12 MB
% 2.92/0.78 % (1395083)Instructions burned: 180 (million)
% 2.92/0.78 % (1395095)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3825965776:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 2.92/0.78 % (1395095)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.92/0.78 % (1395080) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1395058-1395080"...
% 2.92/0.78 % (1395080)...printing done.
% 2.92/0.78 % (1395080)Refutation found. Thanks to Tanya!
% 2.92/0.78 % SZS status Theorem for theBenchmark
% 2.92/0.78 % SZS output start Proof for theBenchmark
% 2.92/0.78 thf(type_def_5, type, num: $tType).
% 2.92/0.78 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 2.92/0.78 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 2.92/0.78 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 2.92/0.78 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 2.92/0.78 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 2.92/0.78 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 2.92/0.78 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 2.92/0.78 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 2.92/0.78 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 2.92/0.78 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 2.92/0.78 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 2.92/0.78 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 2.92/0.78 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 2.92/0.78 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 2.92/0.78 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 2.92/0.78 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 2.92/0.78 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 2.92/0.78 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 2.92/0.78 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 2.92/0.78 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 2.92/0.78 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 2.92/0.78 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 2.92/0.78 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 2.92/0.78 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 2.92/0.78 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 2.92/0.78 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 2.92/0.78 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 2.92/0.78 thf(func_def_89, type, vNOT: ($o > $o)).
% 2.92/0.78 thf(func_def_92, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.92/0.78 thf(func_def_93, type, vIMP: ($o > $o > $o)).
% 2.92/0.78 thf(func_def_94, type, db0: !>[X0: $tType]:(X0)).
% 2.92/0.78 thf(func_def_95, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.92/0.78 thf(func_def_96, type, vAND: ($o > $o > $o)).
% 2.92/0.78 thf(func_def_97, type, sK0: (($i > $i > $o) > $i)).
% 2.92/0.78 thf(func_def_98, type, sK1: (($i > $i > $o) > $i)).
% 2.92/0.78 thf(func_def_99, type, sK2: (($i > $i > $o) > $i)).
% 2.92/0.78 thf(func_def_101, type, sK4: (($i > $i > $o) > $i)).
% 2.92/0.78 thf(func_def_102, type, sK5: ($i > $i > $i)).
% 2.92/0.78 thf(func_def_104, type, db1: !>[X0: $tType]:(X0)).
% 2.92/0.78 thf(func_def_105, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.92/0.78 thf(func_def_106, type, db2: !>[X0: $tType]:(X0)).
% 2.92/0.78 thf(func_def_107, type, db3: !>[X0: $tType]:(X0)).
% 2.92/0.78 thf(func_def_108, type, db4: !>[X0: $tType]:(X0)).
% 2.92/0.78 thf(f5,axiom,(
% 2.92/0.78 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ! [X0 : $i] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))),
% 2.92/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004)).
% 2.92/0.78 thf(f8,axiom,(
% 2.92/0.78 ! [X0 : $o,X1 : $i] : (X0 => (holdsDuring_THFTYPE_IiooI @ X1 @ X0))),
% 2.92/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007)).
% 2.92/0.78 thf(f25,axiom,(
% 2.92/0.78 ! [X0 : $i,X1 : $o] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 2.92/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024)).
% 2.92/0.78 thf(f26,axiom,(
% 2.92/0.78 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 2.92/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_025)).
% 2.92/0.78 thf(f193,conjecture,(
% 2.92/0.78 ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 2.92/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 2.92/0.78 thf(f194,negated_conjecture,(
% 2.92/0.78 ~ ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 2.92/0.78 inference(negated_conjecture,[status(cth)],[f193])).
% 2.92/0.78 thf(f203,plain,(
% 2.92/0.78 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ! [X0 : $i] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))),
% 2.92/0.78 inference(rectify,[],[f5])).
% 2.92/0.78 thf(f204,plain,(
% 2.92/0.78 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (!! @ $i @ (^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0)))))))),
% 2.92/0.78 inference(fool_elimination,[],[f203])).
% 2.92/0.78 thf(f209,plain,(
% 2.92/0.78 ! [X0 : $o,X1 : $i] : (X0 => (holdsDuring_THFTYPE_IiooI @ X1 @ X0))),
% 2.92/0.78 inference(rectify,[],[f8])).
% 2.92/0.78 thf(f210,plain,(
% 2.92/0.78 ! [X0 : $o,X1 : $i] : (($true = X0) => (((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $true))),
% 2.92/0.78 inference(fool_elimination,[],[f209])).
% 2.92/0.78 thf(f243,plain,(
% 2.92/0.78 ! [X0 : $i,X1 : $o] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 2.92/0.78 inference(rectify,[],[f25])).
% 2.92/0.78 thf(f244,plain,(
% 2.92/0.78 ! [X0 : $i,X1 : $o] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) = $true) => (((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true))),
% 2.92/0.78 inference(fool_elimination,[],[f243])).
% 2.92/0.78 thf(f245,plain,(
% 2.92/0.78 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 2.92/0.78 inference(rectify,[],[f26])).
% 2.92/0.78 thf(f246,plain,(
% 2.92/0.78 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 2.92/0.78 inference(fool_elimination,[],[f245])).
% 2.92/0.78 thf(f577,plain,(
% 2.92/0.78 ~ ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 2.92/0.78 inference(rectify,[],[f194])).
% 2.92/0.78 thf(f578,plain,(
% 2.92/0.78 ~ ? [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) = $true)),
% 2.92/0.78 inference(fool_elimination,[],[f577])).
% 2.92/0.78 thf(f584,plain,(
% 2.92/0.78 ! [X0 : $o,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $true) | ($true != X0))),
% 2.92/0.78 inference(ennf_transformation,[],[f210])).
% 2.92/0.78 thf(f600,plain,(
% 2.92/0.78 ! [X0 : $i,X1 : $o] : ((((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) != $true))),
% 2.92/0.78 inference(ennf_transformation,[],[f244])).
% 2.92/0.78 thf(f631,plain,(
% 2.92/0.78 ! [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) != $true)),
% 2.92/0.78 inference(ennf_transformation,[],[f578])).
% 2.92/0.78 thf(f648,plain,(
% 2.92/0.78 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (!! @ $i @ (^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0)))))))),
% 2.92/0.78 inference(cnf_transformation,[],[f204])).
% 2.92/0.78 thf(f651,plain,(
% 2.92/0.78 ( ! [X0 : $o,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $true) | ($true != X0)) )),
% 2.92/0.78 inference(cnf_transformation,[],[f584])).
% 2.92/0.78 thf(f671,plain,(
% 2.92/0.78 ( ! [X0 : $i,X1 : $o] : ((((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) != $true)) )),
% 2.92/0.78 inference(cnf_transformation,[],[f600])).
% 2.92/0.78 thf(f672,plain,(
% 2.92/0.78 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 2.92/0.78 inference(cnf_transformation,[],[f246])).
% 2.92/0.78 thf(f842,plain,(
% 2.92/0.78 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) != $true)) )),
% 2.92/0.78 inference(cnf_transformation,[],[f631])).
% 2.92/0.78 thf(f844,definition,(
% 2.92/0.78 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 2.92/0.78 introduced(theory,[fool_exhaustiveness_axiom])).
% 2.92/0.78 thf(f845,plain,(
% 2.92/0.78 ( ! [X1 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ X1 @ $true)))) )),
% 2.92/0.78 inference(equality_resolution,[],[f651])).
% 2.92/0.78 thf(f860,plain,(
% 2.92/0.78 ( ! [X0 : $i,X1 : $o] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) != $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ X1)) = $false)) )),
% 2.92/0.78 inference(not_proxy_clausification,[],[f671])).
% 2.92/0.78 thf(f864,plain,(
% 2.92/0.78 ( ! [X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X0) @ $true))) | ($false = ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)))) )),
% 2.92/0.78 inference(constrained_superposition,[],[f842,f844])).
% 2.92/0.78 thf(f875,plain,(
% 2.92/0.78 ( ! [X1 : $i] : (($false = ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)))) )),
% 2.92/0.78 inference(forward_subsumption_resolution,[],[f864,f845])).
% 2.92/0.78 thf(f1101,plain,(
% 2.92/0.78 ( ! [X0 : $i,X1 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true))) | (((holdsDuring_THFTYPE_IiooI @ X0 @ X1)) = $false) | (((~ X1)) = $false)) )),
% 2.92/0.78 inference(constrained_superposition,[],[f860,f844])).
% 2.92/0.78 thf(f1107,plain,(
% 2.92/0.78 ( ! [X0 : $i,X1 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true))) | (((holdsDuring_THFTYPE_IiooI @ X0 @ X1)) = $false) | ($true = X1)) )),
% 2.92/0.78 inference(not_proxy_clausification,[],[f1101])).
% 2.92/0.78 thf(f1108,plain,(
% 2.92/0.78 ( ! [X0 : $i,X1 : $o] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ X1)) = $false) | ($true = X1)) )),
% 2.92/0.78 inference(forward_subsumption_resolution,[],[f1107,f845])).
% 2.92/0.78 thf(f1114,plain,(
% 2.92/0.78 ($true = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))))))),
% 2.92/0.78 inference(constrained_superposition,[],[f648,f1108])).
% 2.92/0.78 thf(f1118,plain,(
% 2.92/0.78 ( ! [X1 : $i] : (($true = $false) | ($true = (((^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))) @ X1)))) )),
% 2.92/0.78 inference(pi_proxy_clausification,[],[f1114])).
% 2.92/0.78 thf(f1119,plain,(
% 2.92/0.78 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))) @ X1)))) )),
% 2.92/0.78 inference(trivial_inequality_removal,[],[f1118])).
% 2.92/0.78 thf(f1120,plain,(
% 2.92/0.78 ( ! [X1 : $i] : (($true = (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))))) )),
% 2.92/0.78 inference(beta-eta_normalization,[],[f1119])).
% 2.92/0.78 thf(f1121,plain,(
% 2.92/0.78 ( ! [X1 : $i] : (($false = ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1))) | ($true = ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)))) )),
% 2.92/0.78 inference(imp_proxy_clausification,[],[f1120])).
% 2.92/0.78 thf(f1129,plain,(
% 2.92/0.78 ( ! [X1 : $i] : (($true = $false) | ($false = ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1)))) )),
% 2.92/0.78 inference(forward_demodulation,[],[f1121,f875])).
% 2.92/0.78 thf(f1130,plain,(
% 2.92/0.78 ( ! [X1 : $i] : (($false = ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1)))) )),
% 2.92/0.78 inference(trivial_inequality_removal,[],[f1129])).
% 2.92/0.78 thf(f4296,plain,(
% 2.92/0.78 ($true = $false)),
% 2.92/0.78 inference(constrained_superposition,[],[f672,f1130])).
% 2.92/0.78 thf(f4297,plain,(
% 2.92/0.78 $false),
% 2.92/0.78 inference(trivial_inequality_removal,[],[f4296])).
% 2.92/0.78 % SZS output end Proof for theBenchmark
% 2.92/0.78 % (1395080)------------------------------
% 2.92/0.78 % (1395080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.78 % (1395080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.78 % (1395080)CaDiCaL version: 2.1.3
% 2.92/0.78 % (1395080)Termination reason: Refutation
% 2.92/0.78 % (1395080)Time elapsed: 0.356 s
% 2.92/0.78 % (1395080)Peak memory usage: 14 MB
% 2.92/0.78 % (1395080)Instructions burned: 434 (million)
% 2.92/0.78 % (1395058)Success in time 0.489 s
% 2.92/0.78 % Vampire exiting
%------------------------------------------------------------------------------