%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR149^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 07:47:22 AM UTC 2026
% Result : Theorem 0.83s 0.37s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR149^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n007.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 17:55:26 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/0.37 % (3719736)Will run a generic schedule for satisfiability detection.
% 0.83/0.37 % (3719750)% WARNING: option uhcvi not known.
% 0.83/0.37 % (3719751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3904680416:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.83/0.37 % (3719753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=375373907:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.83/0.37 % (3719752)dis+10_1_sil=32000:sp=arity:random_seed=1268926452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.83/0.37 % (3719749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2988135196_2999 on theBenchmark for (2999ds/0Mi)
% 0.83/0.37 % (3719750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=163723446:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.83/0.37 % (3719754)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2577811361:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.83/0.37 % (3719755)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1690630833:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.83/0.37 % (3719753)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.83/0.37 % (3719750)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.83/0.37 % Exception at run slice level
% 0.83/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.83/0.37 % (3719750)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.83/0.37 % (3719775)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3234814733:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.83/0.37 % Exception at run slice level
% 0.83/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.83/0.37 % (3719752)Instruction limit reached!
% 0.83/0.37 % (3719752)------------------------------
% 0.83/0.37 % (3719752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3719752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3719752)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3719752)Termination reason: Instruction limit
% 0.83/0.37 % (3719752)Termination phase: Saturation
% 0.83/0.37 % (3719752)Time elapsed: 0.046 s
% 0.83/0.37 % (3719752)Peak memory usage: 12 MB
% 0.83/0.37 % (3719752)Instructions burned: 103 (million)
% 0.83/0.37 % (3719753)Instruction limit reached!
% 0.83/0.37 % (3719753)------------------------------
% 0.83/0.37 % (3719753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3719753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3719753)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3719753)Termination reason: Instruction limit
% 0.83/0.37 % (3719753)Termination phase: Saturation
% 0.83/0.37 % (3719753)Time elapsed: 0.051 s
% 0.83/0.37 % (3719753)Peak memory usage: 12 MB
% 0.83/0.37 % (3719753)Instructions burned: 116 (million)
% 0.83/0.37 % (3719795)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1531717065:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.83/0.37 % (3719754)Instruction limit reached!
% 0.83/0.37 % (3719754)------------------------------
% 0.83/0.37 % (3719754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3719754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3719754)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3719754)Termination reason: Instruction limit
% 0.83/0.37 % (3719754)Termination phase: Saturation
% 0.83/0.37 % (3719754)Time elapsed: 0.061 s
% 0.83/0.37 % (3719754)Peak memory usage: 12 MB
% 0.83/0.37 % (3719754)Instructions burned: 141 (million)
% 0.83/0.37 % (3719797)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=2722444881:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.83/0.37 % (3719755)Instruction limit reached!
% 0.83/0.37 % (3719755)------------------------------
% 0.83/0.37 % (3719755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3719755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3719755)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3719755)Termination reason: Instruction limit
% 0.83/0.37 % (3719755)Termination phase: Saturation
% 0.83/0.37 % (3719755)Time elapsed: 0.070 s
% 0.83/0.37 % (3719755)Peak memory usage: 12 MB
% 0.83/0.37 % (3719755)Instructions burned: 159 (million)
% 0.83/0.37 % (3719797)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.83/0.37 % (3719797)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.83/0.37 % (3719798)ott-21_1_sil=16000:fs=off:random_seed=3886791980:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.83/0.37 % (3719797) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3719736-3719797"...
% 0.83/0.37 % (3719802)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=691440894:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.83/0.37 % (3719797)...printing done.
% 0.83/0.37 % (3719797)Refutation found. Thanks to Tanya!
% 0.83/0.37 % SZS status Theorem for theBenchmark
% 0.83/0.37 % SZS output start Proof for theBenchmark
% 0.83/0.37 thf(type_def_5, type, num: $tType).
% 0.83/0.37 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.83/0.37 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.83/0.37 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.83/0.37 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.83/0.37 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.83/0.37 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.83/0.37 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.83/0.37 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.83/0.37 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.83/0.37 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.83/0.37 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.83/0.37 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.83/0.37 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.83/0.37 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.83/0.37 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.83/0.37 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.83/0.37 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.83/0.37 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.83/0.37 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.83/0.37 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.83/0.37 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.83/0.37 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.83/0.37 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.83/0.37 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.83/0.37 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.83/0.37 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.83/0.37 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.83/0.37 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.83/0.37 thf(func_def_92, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.83/0.37 thf(func_def_93, type, vIMP: ($o > $o > $o)).
% 0.83/0.37 thf(func_def_94, type, db0: !>[X0: $tType]:(X0)).
% 0.83/0.37 thf(func_def_95, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.83/0.37 thf(func_def_96, type, vAND: ($o > $o > $o)).
% 0.83/0.37 thf(func_def_97, type, sK0: (($i > $i > $o) > $i)).
% 0.83/0.37 thf(func_def_98, type, sK1: (($i > $i > $o) > $i)).
% 0.83/0.37 thf(func_def_99, type, sK2: (($i > $i > $o) > $i)).
% 0.83/0.37 thf(func_def_101, type, sK4: (($i > $i > $o) > $i)).
% 0.83/0.37 thf(func_def_102, type, sK5: ($i > $i > $i)).
% 0.83/0.37 thf(f5,axiom,(
% 0.83/0.37 (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)))),
% 0.83/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004)).
% 0.83/0.37 thf(f23,axiom,(
% 0.83/0.37 ! [X0 : $i,X1 : $o] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 0.83/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_022)).
% 0.83/0.37 thf(f24,axiom,(
% 0.83/0.37 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.83/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_023)).
% 0.83/0.37 thf(f52,axiom,(
% 0.83/0.37 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.83/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_051)).
% 0.83/0.37 thf(f192,conjecture,(
% 0.83/0.37 ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.83/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.83/0.37 thf(f193,negated_conjecture,(
% 0.83/0.37 ~ ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.83/0.37 inference(negated_conjecture,[status(cth)],[f192])).
% 0.83/0.37 thf(f202,plain,(
% 0.83/0.37 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ! [X0 : $i] : ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)))),
% 0.83/0.37 inference(rectify,[],[f5])).
% 0.83/0.37 thf(f203,plain,(
% 0.83/0.37 ($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)))))))),
% 0.83/0.37 inference(fool_elimination,[],[f202])).
% 0.83/0.37 thf(f238,plain,(
% 0.83/0.37 ! [X0 : $i,X1 : $o] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 0.83/0.37 inference(rectify,[],[f23])).
% 0.83/0.37 thf(f239,plain,(
% 0.83/0.37 ! [X0 : $i,X1 : $o] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) = $true) => (((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true))),
% 0.83/0.37 inference(fool_elimination,[],[f238])).
% 0.83/0.37 thf(f240,plain,(
% 0.83/0.37 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.83/0.37 inference(rectify,[],[f24])).
% 0.83/0.37 thf(f241,plain,(
% 0.83/0.37 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.83/0.37 inference(fool_elimination,[],[f240])).
% 0.83/0.37 thf(f294,plain,(
% 0.83/0.37 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.83/0.37 inference(rectify,[],[f52])).
% 0.83/0.37 thf(f295,plain,(
% 0.83/0.37 ! [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))),
% 0.83/0.37 inference(fool_elimination,[],[f294])).
% 0.83/0.37 thf(f574,plain,(
% 0.83/0.37 ~ ? [X0 : $i,X1 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.83/0.37 inference(rectify,[],[f193])).
% 0.83/0.37 thf(f575,plain,(
% 0.83/0.37 ~ ? [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) = $true)),
% 0.83/0.37 inference(fool_elimination,[],[f574])).
% 0.83/0.37 thf(f595,plain,(
% 0.83/0.37 ! [X0 : $i,X1 : $o] : ((((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) != $true))),
% 0.83/0.37 inference(ennf_transformation,[],[f239])).
% 0.83/0.37 thf(f626,plain,(
% 0.83/0.37 ! [X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) != $true)),
% 0.83/0.37 inference(ennf_transformation,[],[f575])).
% 0.83/0.37 thf(f643,plain,(
% 0.83/0.37 ($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)))))))),
% 0.83/0.37 inference(cnf_transformation,[],[f203])).
% 0.83/0.37 thf(f664,plain,(
% 0.83/0.37 ( ! [X0 : $i,X1 : $o] : ((((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) != $true)) )),
% 0.83/0.37 inference(cnf_transformation,[],[f595])).
% 0.83/0.37 thf(f665,plain,(
% 0.83/0.37 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.83/0.37 inference(cnf_transformation,[],[f241])).
% 0.83/0.37 thf(f696,plain,(
% 0.83/0.37 ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))) )),
% 0.83/0.37 inference(cnf_transformation,[],[f295])).
% 0.83/0.37 thf(f836,plain,(
% 0.83/0.37 ( ! [X0 : $i,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X1) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))) != $true)) )),
% 0.83/0.37 inference(cnf_transformation,[],[f626])).
% 0.83/0.37 thf(f838,definition,(
% 0.83/0.37 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.83/0.37 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.83/0.37 thf(f852,plain,(
% 0.83/0.37 ( ! [X0 : $i,X1 : $o] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) != $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ X1)) = $false)) )),
% 0.83/0.37 inference(not_proxy_clausification,[],[f664])).
% 0.83/0.37 thf(f860,plain,(
% 0.83/0.37 ( ! [X0 : $i,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ X0) @ $true))) | ($false = ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)))) )),
% 0.83/0.37 inference(constrained_superposition,[],[f836,f838])).
% 0.83/0.37 thf(f865,plain,(
% 0.83/0.37 ( ! [X0 : $i,X1 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true))) | (((holdsDuring_THFTYPE_IiooI @ X0 @ X1)) = $false) | (((~ X1)) = $false)) )),
% 0.83/0.37 inference(constrained_superposition,[],[f852,f838])).
% 0.83/0.37 thf(f872,plain,(
% 0.83/0.37 ( ! [X0 : $i,X1 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ X0 @ $true))) | (((holdsDuring_THFTYPE_IiooI @ X0 @ X1)) = $false) | ($true = X1)) )),
% 0.83/0.37 inference(not_proxy_clausification,[],[f865])).
% 0.83/0.37 thf(f884,plain,(
% 0.83/0.37 ( ! [X0 : $i,X1 : $o] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ X1)) = $false) | ($true = X1)) )),
% 0.83/0.37 inference(forward_subsumption_resolution,[],[f872,f696])).
% 0.83/0.37 thf(f885,plain,(
% 0.83/0.37 ( ! [X1 : $i] : (($false = ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)))) )),
% 0.83/0.37 inference(forward_subsumption_resolution,[],[f860,f696])).
% 0.83/0.37 thf(f901,plain,(
% 0.83/0.37 ($true = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))))))),
% 0.83/0.37 inference(constrained_superposition,[],[f643,f884])).
% 0.83/0.37 thf(f903,plain,(
% 0.83/0.37 ( ! [X1 : $i] : (($true = $false) | ($true = (((^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))) @ X1)))) )),
% 0.83/0.37 inference(pi_proxy_clausification,[],[f901])).
% 0.83/0.37 thf(f904,plain,(
% 0.83/0.37 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0))) @ X1)))) )),
% 0.83/0.37 inference(trivial_inequality_removal,[],[f903])).
% 0.83/0.37 thf(f905,plain,(
% 0.83/0.37 ( ! [X1 : $i] : (($true = (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1) => (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1))))) )),
% 0.83/0.37 inference(beta-eta_normalization,[],[f904])).
% 0.83/0.37 thf(f906,plain,(
% 0.83/0.37 ( ! [X1 : $i] : (($false = ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1))) | ($true = ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1)))) )),
% 0.83/0.37 inference(imp_proxy_clausification,[],[f905])).
% 0.83/0.37 thf(f913,plain,(
% 0.83/0.37 ( ! [X1 : $i] : (($true = $false) | ($false = ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1)))) )),
% 0.83/0.37 inference(forward_demodulation,[],[f906,f885])).
% 0.83/0.37 thf(f914,plain,(
% 0.83/0.37 ( ! [X1 : $i] : (($false = ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1)))) )),
% 0.83/0.37 inference(trivial_inequality_removal,[],[f913])).
% 0.83/0.37 thf(f919,plain,(
% 0.83/0.37 ($true = $false)),
% 0.83/0.37 inference(constrained_superposition,[],[f665,f914])).
% 0.83/0.37 thf(f920,plain,(
% 0.83/0.37 $false),
% 0.83/0.37 inference(trivial_inequality_removal,[],[f919])).
% 0.83/0.37 % SZS output end Proof for theBenchmark
% 0.83/0.37 % (3719797)------------------------------
% 0.83/0.37 % (3719797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3719797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3719797)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3719797)Termination reason: Refutation
% 0.83/0.37 % (3719797)Time elapsed: 0.018 s
% 0.83/0.37 % (3719797)Peak memory usage: 13 MB
% 0.83/0.37 % (3719797)Instructions burned: 37 (million)
% 0.83/0.37 % (3719736)Success in time 0.127 s
% 0.83/0.37 % Vampire exiting
%------------------------------------------------------------------------------