%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR130^2 : 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 : 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 07:47:16 AM UTC 2026
% Result : Theorem 3.94s 0.81s
% Output : Refutation 3.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR130^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:55:30 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 3.94/0.81 % (140401)Will run a generic schedule for satisfiability detection.
% 3.94/0.81 % (140410)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3227950434:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.94/0.81 % (140410)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.81 % (140407)% WARNING: option uhcvi not known.
% 3.94/0.81 % (140407)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3752614637:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.94/0.81 % (140408)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1590769138:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.94/0.81 % (140409)dis+10_1_sil=32000:sp=arity:random_seed=1955500826:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.94/0.81 % (140407)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.81 % (140407)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.94/0.81 % (140412)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=179920202:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.94/0.81 % (140406)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2666588594_2999 on theBenchmark for (2999ds/0Mi)
% 3.94/0.81 % Exception at run slice level
% 3.94/0.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.81 % (140411)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=806455534:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.94/0.81 % (140410)Instruction limit reached!
% 3.94/0.81 % (140410)------------------------------
% 3.94/0.81 % (140410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140410)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140410)Termination reason: Instruction limit
% 3.94/0.81 % (140410)Termination phase: Saturation
% 3.94/0.81 % (140410)Time elapsed: 0.033 s
% 3.94/0.81 % (140410)Peak memory usage: 12 MB
% 3.94/0.81 % (140410)Instructions burned: 118 (million)
% 3.94/0.81 % (140419)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2029730488:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.94/0.81 % Exception at run slice level
% 3.94/0.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.81 % (140421)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1222003742:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.94/0.81 % (140409)Instruction limit reached!
% 3.94/0.81 % (140409)------------------------------
% 3.94/0.81 % (140409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140409)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140409)Termination reason: Instruction limit
% 3.94/0.81 % (140409)Termination phase: Saturation
% 3.94/0.81 % (140409)Time elapsed: 0.051 s
% 3.94/0.81 % (140409)Peak memory usage: 12 MB
% 3.94/0.81 % (140409)Instructions burned: 103 (million)
% 3.94/0.81 % (140423)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=1937496487:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.94/0.81 % (140423)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.81 % (140423)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.94/0.81 % (140425)ott-21_1_sil=16000:fs=off:random_seed=1286743204:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.94/0.81 % (140421)Instruction limit reached!
% 3.94/0.81 % (140421)------------------------------
% 3.94/0.81 % (140421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140421)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140421)Termination reason: Instruction limit
% 3.94/0.81 % (140421)Termination phase: Saturation
% 3.94/0.81 % (140421)Time elapsed: 0.036 s
% 3.94/0.81 % (140421)Peak memory usage: 13 MB
% 3.94/0.81 % (140421)Instructions burned: 134 (million)
% 3.94/0.81 % (140412)Instruction limit reached!
% 3.94/0.81 % (140412)------------------------------
% 3.94/0.81 % (140412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140412)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140412)Termination reason: Instruction limit
% 3.94/0.81 % (140412)Termination phase: Saturation
% 3.94/0.81 % (140412)Time elapsed: 0.079 s
% 3.94/0.81 % (140412)Peak memory usage: 13 MB
% 3.94/0.81 % (140412)Instructions burned: 159 (million)
% 3.94/0.81 % (140428)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2066244327:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.94/0.81 % (140430)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4083586416:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.94/0.81 % Exception at run slice level
% 3.94/0.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.81 % (140432)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1841559305:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 3.94/0.81 % (140411)Instruction limit reached!
% 3.94/0.81 % (140411)------------------------------
% 3.94/0.81 % (140411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140411)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140411)Termination reason: Instruction limit
% 3.94/0.81 % (140411)Termination phase: Saturation
% 3.94/0.81 % (140411)Time elapsed: 0.110 s
% 3.94/0.81 % (140411)Peak memory usage: 12 MB
% 3.94/0.81 % (140411)Instructions burned: 131 (million)
% 3.94/0.81 % (140434)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2093832832:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 3.94/0.81 % Exception at run slice level
% 3.94/0.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.81 % (140425)Instruction limit reached!
% 3.94/0.81 % (140425)------------------------------
% 3.94/0.81 % (140425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140425)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140425)Termination reason: Instruction limit
% 3.94/0.81 % (140425)Termination phase: Saturation
% 3.94/0.81 % (140425)Time elapsed: 0.088 s
% 3.94/0.81 % (140425)Peak memory usage: 12 MB
% 3.94/0.81 % (140425)Instructions burned: 180 (million)
% 3.94/0.81 % (140436)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=741040793:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 3.94/0.81 % (140436)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.81 % (140437)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2905582930:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 3.94/0.81 % (140437)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.81 % (140428)Instruction limit reached!
% 3.94/0.81 % (140428)------------------------------
% 3.94/0.81 % (140428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140428)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140428)Termination reason: Instruction limit
% 3.94/0.81 % (140428)Termination phase: Saturation
% 3.94/0.81 % (140428)Time elapsed: 0.119 s
% 3.94/0.81 % (140428)Peak memory usage: 14 MB
% 3.94/0.81 % (140428)Instructions burned: 480 (million)
% 3.94/0.81 % (140440)fmb+10_1_sil=64000:random_seed=3165886216:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 3.94/0.81 % (140440)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.94/0.81 % Exception at run slice level
% 3.94/0.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.81 % (140442)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=337844648:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 3.94/0.81 % Exception at run slice level
% 3.94/0.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.81 % (140444)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3085867976:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 3.94/0.81 % Exception at run slice level
% 3.94/0.81 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.81 % (140446)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1413418142:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 3.94/0.81 % (140446)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.81 % (140423)Instruction limit reached!
% 3.94/0.81 % (140423)------------------------------
% 3.94/0.81 % (140423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140423)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140423)Termination reason: Instruction limit
% 3.94/0.81 % (140423)Termination phase: Saturation
% 3.94/0.81 % (140423)Time elapsed: 0.330 s
% 3.94/0.81 % (140423)Peak memory usage: 16 MB
% 3.94/0.81 % (140423)Instructions burned: 684 (million)
% 3.94/0.81 % (140448)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2908916547:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 3.94/0.81 % (140448)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.94/0.81 % (140448)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.94/0.81 % (140432) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-140401-140432"...
% 3.94/0.81 % (140432)...printing done.
% 3.94/0.81 % (140432)Refutation found. Thanks to Tanya!
% 3.94/0.81 % SZS status Theorem for theBenchmark
% 3.94/0.81 % SZS output start Proof for theBenchmark
% 3.94/0.81 thf(type_def_5, type, num: $tType).
% 3.94/0.81 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 3.94/0.81 thf(func_def_2, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 3.94/0.81 thf(func_def_3, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 3.94/0.81 thf(func_def_4, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 3.94/0.81 thf(func_def_6, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 3.94/0.81 thf(func_def_7, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 3.94/0.81 thf(func_def_8, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 3.94/0.81 thf(func_def_9, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 3.94/0.81 thf(func_def_10, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_13, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 3.94/0.81 thf(func_def_18, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 3.94/0.81 thf(func_def_28, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 3.94/0.81 thf(func_def_30, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 3.94/0.81 thf(func_def_31, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_32, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_33, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_37, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_38, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_40, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_41, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_42, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_43, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 3.94/0.81 thf(func_def_44, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_45, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 3.94/0.81 thf(func_def_47, type, vNOT: ($o > $o)).
% 3.94/0.81 thf(func_def_50, type, vAND: ($o > $o > $o)).
% 3.94/0.81 thf(func_def_51, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.94/0.81 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 3.94/0.81 thf(func_def_53, type, db1: !>[X0: $tType]:(X0)).
% 3.94/0.81 thf(func_def_54, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.94/0.81 thf(func_def_56, type, sF1: (($i > $i > $o) > $o)).
% 3.94/0.81 thf(func_def_57, type, sF2: (($i > $i > $o) > $o)).
% 3.94/0.81 thf(func_def_58, type, sF3: (($i > $i > $o) > $o)).
% 3.94/0.81 thf(func_def_59, type, sF4: (($i > $i > $o) > $o)).
% 3.94/0.81 thf(func_def_60, type, sF5: (($i > $i > $o) > $o)).
% 3.94/0.81 thf(func_def_61, type, sF6: (($i > $i > $o) > $o)).
% 3.94/0.81 thf(func_def_62, type, sF7: (($i > $i > $o) > $o)).
% 3.94/0.81 thf(func_def_63, type, sK8: (($i > $i > $o) > $i)).
% 3.94/0.81 thf(func_def_64, type, sK9: (($i > $i > $o) > $i)).
% 3.94/0.81 thf(func_def_66, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.94/0.81 thf(func_def_67, type, db2: !>[X0: $tType]:(X0)).
% 3.94/0.81 thf(func_def_68, type, db3: !>[X0: $tType]:(X0)).
% 3.94/0.81 thf(func_def_69, type, db4: !>[X0: $tType]:(X0)).
% 3.94/0.81 thf(f2,axiom,(
% 3.94/0.81 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))),
% 3.94/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 3.94/0.81 thf(f5,axiom,(
% 3.94/0.81 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 3.94/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004)).
% 3.94/0.81 thf(f7,axiom,(
% 3.94/0.81 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 3.94/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006)).
% 3.94/0.81 thf(f10,axiom,(
% 3.94/0.81 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 3.94/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_009)).
% 3.94/0.81 thf(f65,conjecture,(
% 3.94/0.81 ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X1 : $i,X2 : $i] : (X0 @ X1 @ X2)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 3.94/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 3.94/0.81 thf(f66,negated_conjecture,(
% 3.94/0.81 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X1 : $i,X2 : $i] : (X0 @ X1 @ X2)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 3.94/0.81 inference(negated_conjecture,[status(cth)],[f65])).
% 3.94/0.81 thf(f69,plain,(
% 3.94/0.81 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))),
% 3.94/0.81 inference(rectify,[],[f2])).
% 3.94/0.81 thf(f70,plain,(
% 3.94/0.81 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 3.94/0.81 inference(fool_elimination,[],[f69])).
% 3.94/0.81 thf(f75,plain,(
% 3.94/0.81 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 3.94/0.81 inference(rectify,[],[f5])).
% 3.94/0.81 thf(f76,plain,(
% 3.94/0.81 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 3.94/0.81 inference(fool_elimination,[],[f75])).
% 3.94/0.81 thf(f79,plain,(
% 3.94/0.81 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 3.94/0.81 inference(rectify,[],[f7])).
% 3.94/0.81 thf(f80,plain,(
% 3.94/0.81 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 3.94/0.81 inference(fool_elimination,[],[f79])).
% 3.94/0.81 thf(f85,plain,(
% 3.94/0.81 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 3.94/0.81 inference(rectify,[],[f10])).
% 3.94/0.81 thf(f86,plain,(
% 3.94/0.81 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 3.94/0.81 inference(fool_elimination,[],[f85])).
% 3.94/0.81 thf(f193,plain,(
% 3.94/0.81 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ! [X1 : $i,X2 : $i] : (X0 @ X1 @ X2)) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 3.94/0.81 inference(rectify,[],[f66])).
% 3.94/0.81 thf(f194,plain,(
% 3.94/0.81 ~ ? [X0 : ($i > $i > $o)] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))))))))),
% 3.94/0.81 inference(fool_elimination,[],[f193])).
% 3.94/0.81 thf(f218,plain,(
% 3.94/0.81 ! [X0 : ($i > $i > $o)] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))))))))),
% 3.94/0.81 inference(ennf_transformation,[],[f194])).
% 3.94/0.81 thf(f221,plain,(
% 3.94/0.81 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i))) = $true)),
% 3.94/0.81 inference(cnf_transformation,[],[f70])).
% 3.94/0.81 thf(f224,plain,(
% 3.94/0.81 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 3.94/0.81 inference(cnf_transformation,[],[f76])).
% 3.94/0.81 thf(f226,plain,(
% 3.94/0.81 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 3.94/0.81 inference(cnf_transformation,[],[f80])).
% 3.94/0.81 thf(f229,plain,(
% 3.94/0.81 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 3.94/0.81 inference(cnf_transformation,[],[f86])).
% 3.94/0.81 thf(f285,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) & (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))))))))) )),
% 3.94/0.81 inference(cnf_transformation,[],[f218])).
% 3.94/0.81 thf(f287,definition,(
% 3.94/0.81 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 3.94/0.81 introduced(theory,[fool_exhaustiveness_axiom])).
% 3.94/0.81 thf(f290,definition,(
% 3.94/0.81 (sF0 = ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)))),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 3.94/0.81 thf(f291,plain,(
% 3.94/0.81 (((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) = sF0)),
% 3.94/0.81 inference(reorient_equations,[],[f290])).
% 3.94/0.81 thf(f292,definition,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((sF1 @ X0)) = ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) )),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 3.94/0.81 thf(f293,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = ((sF1 @ X0)))) )),
% 3.94/0.81 inference(reorient_equations,[],[f292])).
% 3.94/0.81 thf(f294,definition,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((sF2 @ X0)) = ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) )),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 3.94/0.81 thf(f295,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = ((sF2 @ X0)))) )),
% 3.94/0.81 inference(reorient_equations,[],[f294])).
% 3.94/0.81 thf(f296,definition,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((sF3 @ X0)) = (((sF1 @ X0) & (sF2 @ X0))))) )),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 3.94/0.81 thf(f297,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (((((sF1 @ X0) & (sF2 @ X0))) = ((sF3 @ X0)))) )),
% 3.94/0.81 inference(reorient_equations,[],[f296])).
% 3.94/0.81 thf(f298,definition,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((sF4 @ X0)) = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))))))) )),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 3.94/0.81 thf(f299,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))))) = ((sF4 @ X0)))) )),
% 3.94/0.81 inference(reorient_equations,[],[f298])).
% 3.94/0.81 thf(f300,definition,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((sF5 @ X0)) = ((~ (sF4 @ X0))))) )),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 3.94/0.81 thf(f301,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((~ (sF4 @ X0))) = ((sF5 @ X0)))) )),
% 3.94/0.81 inference(reorient_equations,[],[f300])).
% 3.94/0.81 thf(f302,definition,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((sF6 @ X0)) = (((sF3 @ X0) & (sF5 @ X0))))) )),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 3.94/0.81 thf(f303,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (((((sF3 @ X0) & (sF5 @ X0))) = ((sF6 @ X0)))) )),
% 3.94/0.81 inference(reorient_equations,[],[f302])).
% 3.94/0.81 thf(f304,definition,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((sF7 @ X0)) = ((holdsDuring_THFTYPE_IiooI @ sF0 @ (sF6 @ X0))))) )),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
% 3.94/0.81 thf(f305,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ sF0 @ (sF6 @ X0))) = ((sF7 @ X0)))) )),
% 3.94/0.81 inference(reorient_equations,[],[f304])).
% 3.94/0.81 thf(f306,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true != ((sF7 @ X0)))) )),
% 3.94/0.81 inference(definition_folding,[],[f285,f305,f303,f301,f299,f297,f295,f293,f291])).
% 3.94/0.81 thf(f312,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF1 @ X0))) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f293])).
% 3.94/0.81 thf(f313,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF1 @ X0))) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f293])).
% 3.94/0.81 thf(f315,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF2 @ X0))) | (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f295])).
% 3.94/0.81 thf(f316,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = (((sF1 @ X0) & (sF2 @ X0)))) | ($false = ((sF3 @ X0)))) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f297])).
% 3.94/0.81 thf(f317,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = (((sF1 @ X0) & (sF2 @ X0)))) | ($true = ((sF3 @ X0)))) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f297])).
% 3.94/0.81 thf(f318,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF3 @ X0))) | ($false = ((sF2 @ X0))) | ($false = ((sF1 @ X0)))) )),
% 3.94/0.81 inference(and_proxy_clausification,[],[f317])).
% 3.94/0.81 thf(f320,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF3 @ X0))) | ($true = ((sF1 @ X0)))) )),
% 3.94/0.81 inference(and_proxy_clausification,[],[f316])).
% 3.94/0.81 thf(f321,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0))))))) | ($false = ((sF4 @ X0)))) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f299])).
% 3.94/0.81 thf(f327,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o),X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y1 @ Y0)))) @ X1))) | ($false = ((sF4 @ X0)))) )),
% 3.94/0.81 inference(pi_proxy_clausification,[],[f321])).
% 3.94/0.81 thf(f328,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o),X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: (X0 @ Y0 @ X1))))) | ($false = ((sF4 @ X0)))) )),
% 3.94/0.81 inference(beta-eta_normalization,[],[f327])).
% 3.94/0.81 thf(f329,plain,(
% 3.94/0.81 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true = (((^[Y0 : $i]: (X0 @ Y0 @ X1)) @ X2))) | ($false = ((sF4 @ X0)))) )),
% 3.94/0.81 inference(pi_proxy_clausification,[],[f328])).
% 3.94/0.81 thf(f330,plain,(
% 3.94/0.81 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true = ((X0 @ X2 @ X1))) | ($false = ((sF4 @ X0)))) )),
% 3.94/0.81 inference(beta-eta_normalization,[],[f329])).
% 3.94/0.81 thf(f332,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((~ (sF4 @ X0)))) | ($true = ((sF5 @ X0)))) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f301])).
% 3.94/0.81 thf(f333,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF5 @ X0))) | ($true = ((sF4 @ X0)))) )),
% 3.94/0.81 inference(not_proxy_clausification,[],[f332])).
% 3.94/0.81 thf(f335,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = (((sF3 @ X0) & (sF5 @ X0)))) | ($false = ((sF6 @ X0)))) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f303])).
% 3.94/0.81 thf(f336,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = (((sF3 @ X0) & (sF5 @ X0)))) | ($true = ((sF6 @ X0)))) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f303])).
% 3.94/0.81 thf(f337,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF6 @ X0))) | ($false = ((sF5 @ X0))) | ($false = ((sF3 @ X0)))) )),
% 3.94/0.81 inference(and_proxy_clausification,[],[f336])).
% 3.94/0.81 thf(f339,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF6 @ X0))) | ($true = ((sF3 @ X0)))) )),
% 3.94/0.81 inference(and_proxy_clausification,[],[f335])).
% 3.94/0.81 thf(f341,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((holdsDuring_THFTYPE_IiooI @ sF0 @ (sF6 @ X0)))) | ($true = ((sF7 @ X0)))) )),
% 3.94/0.81 inference(iff_proxy_clausification,[],[f305])).
% 3.94/0.81 thf(f342,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((holdsDuring_THFTYPE_IiooI @ sF0 @ (sF6 @ X0))))) )),
% 3.94/0.81 inference(forward_subsumption_resolution,[],[f341,f306])).
% 3.94/0.81 thf(f346,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $true))) | ($false = ((sF6 @ X0)))) )),
% 3.94/0.81 inference(constrained_superposition,[],[f342,f287])).
% 3.94/0.81 thf(f356,definition,(
% 3.94/0.81 spl10_1 <=> ! [X0 : ($i > $i > $o)] : ($false = ((sF6 @ X0)))),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition])).
% 3.94/0.81 thf(f357,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF6 @ X0)))) ) | ~spl10_1),
% 3.94/0.81 inference(avatar_component_clause,[],[f356])).
% 3.94/0.81 thf(f359,definition,(
% 3.94/0.81 spl10_2 <=> ($false = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $true)))),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition])).
% 3.94/0.81 thf(f361,plain,(
% 3.94/0.81 ($false = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $true))) | ~spl10_2),
% 3.94/0.81 inference(avatar_component_clause,[],[f359])).
% 3.94/0.81 thf(f362,plain,(
% 3.94/0.81 spl10_1 | spl10_2),
% 3.94/0.81 inference(avatar_split_clause,[],[f346,f359,f356])).
% 3.94/0.81 thf(f390,definition,(
% 3.94/0.81 spl10_4 <=> ($false = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $false)))),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition])).
% 3.94/0.81 thf(f392,plain,(
% 3.94/0.81 ($false = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $false))) | ~spl10_4),
% 3.94/0.81 inference(avatar_component_clause,[],[f390])).
% 3.94/0.81 thf(f402,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $false))) | ($true = ((sF3 @ X0)))) )),
% 3.94/0.81 inference(constrained_superposition,[],[f342,f339])).
% 3.94/0.81 thf(f405,definition,(
% 3.94/0.81 spl10_5 <=> ! [X0 : ($i > $i > $o)] : ($true = ((sF3 @ X0)))),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition])).
% 3.94/0.81 thf(f406,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF3 @ X0)))) ) | ~spl10_5),
% 3.94/0.81 inference(avatar_component_clause,[],[f405])).
% 3.94/0.81 thf(f407,plain,(
% 3.94/0.81 spl10_5 | spl10_4),
% 3.94/0.81 inference(avatar_split_clause,[],[f402,f390,f405])).
% 3.94/0.81 thf(f424,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) = $false)),
% 3.94/0.81 inference(constrained_superposition,[],[f221,f287])).
% 3.94/0.81 thf(f426,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $true))) | (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) = $false)),
% 3.94/0.81 inference(forward_demodulation,[],[f424,f291])).
% 3.94/0.81 thf(f427,plain,(
% 3.94/0.81 ($true = $false) | (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) = $false) | ~spl10_2),
% 3.94/0.81 inference(forward_demodulation,[],[f426,f361])).
% 3.94/0.81 thf(f428,plain,(
% 3.94/0.81 (((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i)) = $false) | ~spl10_2),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f427])).
% 3.94/0.81 thf(f430,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl10_2),
% 3.94/0.81 inference(constrained_superposition,[],[f221,f428])).
% 3.94/0.81 thf(f432,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $false))) | ~spl10_2),
% 3.94/0.81 inference(forward_demodulation,[],[f430,f291])).
% 3.94/0.81 thf(f433,plain,(
% 3.94/0.81 ($true = $false) | (~spl10_2 | ~spl10_4)),
% 3.94/0.81 inference(forward_demodulation,[],[f432,f392])).
% 3.94/0.81 thf(f434,plain,(
% 3.94/0.81 $false | (~spl10_2 | ~spl10_4)),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f433])).
% 3.94/0.81 thf(f435,plain,(
% 3.94/0.81 ~spl10_2 | ~spl10_4),
% 3.94/0.81 inference(avatar_contradiction_clause,[],[f434])).
% 3.94/0.81 thf(f443,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = $false) | ($true = ((sF1 @ X0)))) ) | ~spl10_5),
% 3.94/0.81 inference(constrained_superposition,[],[f320,f406])).
% 3.94/0.81 thf(f446,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF1 @ X0)))) ) | ~spl10_5),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f443])).
% 3.94/0.81 thf(f460,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = $false) | (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)) ) | ~spl10_5),
% 3.94/0.81 inference(constrained_superposition,[],[f312,f446])).
% 3.94/0.81 thf(f461,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)) ) | ~spl10_5),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f460])).
% 3.94/0.81 thf(f500,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false)),
% 3.94/0.81 inference(constrained_superposition,[],[f229,f287])).
% 3.94/0.81 thf(f506,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false)),
% 3.94/0.81 inference(boolean_simplification,[],[f500])).
% 3.94/0.81 thf(f509,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $false))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false)),
% 3.94/0.81 inference(forward_demodulation,[],[f506,f291])).
% 3.94/0.81 thf(f535,plain,(
% 3.94/0.81 ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) | ~spl10_5),
% 3.94/0.81 inference(primitive_instantiation,[],[f461])).
% 3.94/0.81 thf(f536,plain,(
% 3.94/0.81 ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) | ~spl10_5),
% 3.94/0.81 inference(primitive_instantiation,[],[f461])).
% 3.94/0.81 thf(f686,plain,(
% 3.94/0.81 ($true = ((~ (lSue_THFTYPE_i = lBill_THFTYPE_i)))) | ~spl10_5),
% 3.94/0.81 inference(beta-eta_normalization,[],[f536])).
% 3.94/0.81 thf(f687,plain,(
% 3.94/0.81 ($false = ((lSue_THFTYPE_i = lBill_THFTYPE_i))) | ~spl10_5),
% 3.94/0.81 inference(not_proxy_clausification,[],[f686])).
% 3.94/0.81 thf(f688,plain,(
% 3.94/0.81 (lSue_THFTYPE_i != lBill_THFTYPE_i) | ~spl10_5),
% 3.94/0.81 inference(equality_proxy_clausification,[],[f687])).
% 3.94/0.81 thf(f689,plain,(
% 3.94/0.81 ($true = ((lSue_THFTYPE_i = lBill_THFTYPE_i))) | ~spl10_5),
% 3.94/0.81 inference(beta-eta_normalization,[],[f535])).
% 3.94/0.81 thf(f690,plain,(
% 3.94/0.81 (lSue_THFTYPE_i = lBill_THFTYPE_i) | ~spl10_5),
% 3.94/0.81 inference(equality_proxy_clausification,[],[f689])).
% 3.94/0.81 thf(f706,plain,(
% 3.94/0.81 $false | ~spl10_5),
% 3.94/0.81 inference(forward_subsumption_resolution,[],[f690,f688])).
% 3.94/0.81 thf(f707,plain,(
% 3.94/0.81 ~spl10_5),
% 3.94/0.81 inference(avatar_contradiction_clause,[],[f706])).
% 3.94/0.81 thf(f718,definition,(
% 3.94/0.81 spl10_8 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition])).
% 3.94/0.81 thf(f720,plain,(
% 3.94/0.81 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl10_8),
% 3.94/0.81 inference(avatar_component_clause,[],[f718])).
% 3.94/0.81 thf(f723,definition,(
% 3.94/0.81 spl10_9 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition])).
% 3.94/0.81 thf(f725,plain,(
% 3.94/0.81 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl10_9),
% 3.94/0.81 inference(avatar_component_clause,[],[f723])).
% 3.94/0.81 thf(f752,plain,(
% 3.94/0.81 ($true = $false) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | ~spl10_4),
% 3.94/0.81 inference(forward_demodulation,[],[f509,f392])).
% 3.94/0.81 thf(f753,plain,(
% 3.94/0.81 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | ~spl10_4),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f752])).
% 3.94/0.81 thf(f1364,plain,(
% 3.94/0.81 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($true = $false) | ($false = ((sF4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (likes_THFTYPE_IiioI @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))) | (lSue_THFTYPE_i != ((X0 @ X1 @ X2))) | (lMary_THFTYPE_i != X2)) ) | ~spl10_4),
% 3.94/0.81 inference(constrained_superposition,[],[f753,f330])).
% 3.94/0.81 thf(f1431,plain,(
% 3.94/0.81 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($false = ((sF4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (likes_THFTYPE_IiioI @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))) | (lSue_THFTYPE_i != ((X0 @ X1 @ X2))) | (lMary_THFTYPE_i != X2)) ) | ~spl10_4),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f1364])).
% 3.94/0.81 thf(f1432,plain,(
% 3.94/0.81 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : ((lSue_THFTYPE_i != ((X0 @ X1 @ X2))) | ($false = ((sF4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (likes_THFTYPE_IiioI @ (X0 @ Y0 @ Y1) @ Y1))))))) | (lMary_THFTYPE_i != X2)) ) | ~spl10_4),
% 3.94/0.81 inference(beta-eta_normalization,[],[f1431])).
% 3.94/0.81 thf(f2000,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = $false) | ($false = ((sF5 @ X0))) | ($false = ((sF3 @ X0)))) ) | ~spl10_1),
% 3.94/0.81 inference(constrained_superposition,[],[f357,f337])).
% 3.94/0.81 thf(f2006,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($false = ((sF5 @ X0))) | ($false = ((sF3 @ X0)))) ) | ~spl10_1),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f2000])).
% 3.94/0.81 thf(f3881,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = $false) | ($true = ((sF4 @ X0))) | ($false = ((sF3 @ X0)))) ) | ~spl10_1),
% 3.94/0.81 inference(constrained_superposition,[],[f333,f2006])).
% 3.94/0.81 thf(f3885,plain,(
% 3.94/0.81 ( ! [X0 : ($i > $i > $o)] : (($true = ((sF4 @ X0))) | ($false = ((sF3 @ X0)))) ) | ~spl10_1),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f3881])).
% 3.94/0.81 thf(f7468,plain,(
% 3.94/0.81 ( ! [X0 : $i] : (($false = ((sF4 @ (^[Y0 : $i]: ((^[Y1 : $i]: (likes_THFTYPE_IiioI @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1) @ Y1))))))) | (lMary_THFTYPE_i != X0)) ) | ~spl10_4),
% 3.94/0.81 inference(equality_resolution,[],[f1432])).
% 3.94/0.81 thf(f7473,plain,(
% 3.94/0.81 ( ! [X0 : $i] : (($false = ((sF4 @ likes_THFTYPE_IiioI))) | (lMary_THFTYPE_i != X0)) ) | ~spl10_4),
% 3.94/0.81 inference(beta-eta_normalization,[],[f7468])).
% 3.94/0.81 thf(f7480,definition,(
% 3.94/0.81 spl10_95 <=> ! [X0 : $i] : (lMary_THFTYPE_i != X0)),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_95])],[avatar_definition])).
% 3.94/0.81 thf(f7481,plain,(
% 3.94/0.81 ( ! [X0 : $i] : ((lMary_THFTYPE_i != X0)) ) | ~spl10_95),
% 3.94/0.81 inference(avatar_component_clause,[],[f7480])).
% 3.94/0.81 thf(f7497,definition,(
% 3.94/0.81 spl10_99 <=> ($false = ((sF4 @ likes_THFTYPE_IiioI)))),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_99])],[avatar_definition])).
% 3.94/0.81 thf(f7499,plain,(
% 3.94/0.81 ($false = ((sF4 @ likes_THFTYPE_IiioI))) | ~spl10_99),
% 3.94/0.81 inference(avatar_component_clause,[],[f7497])).
% 3.94/0.81 thf(f7500,plain,(
% 3.94/0.81 spl10_95 | spl10_99 | ~spl10_4),
% 3.94/0.81 inference(avatar_split_clause,[],[f7473,f390,f7497,f7480])).
% 3.94/0.81 thf(f7501,plain,(
% 3.94/0.81 $false | ~spl10_95),
% 3.94/0.81 inference(equality_resolution,[],[f7481])).
% 3.94/0.81 thf(f7502,plain,(
% 3.94/0.81 ~spl10_95),
% 3.94/0.81 inference(avatar_contradiction_clause,[],[f7501])).
% 3.94/0.81 thf(f7589,plain,(
% 3.94/0.81 ($true = $false) | ($false = ((sF3 @ likes_THFTYPE_IiioI))) | (~spl10_1 | ~spl10_99)),
% 3.94/0.81 inference(constrained_superposition,[],[f3885,f7499])).
% 3.94/0.81 thf(f7604,plain,(
% 3.94/0.81 ($false = ((sF3 @ likes_THFTYPE_IiioI))) | (~spl10_1 | ~spl10_99)),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f7589])).
% 3.94/0.81 thf(f7615,plain,(
% 3.94/0.81 ($true = $false) | ($false = ((sF2 @ likes_THFTYPE_IiioI))) | ($false = ((sF1 @ likes_THFTYPE_IiioI))) | (~spl10_1 | ~spl10_99)),
% 3.94/0.81 inference(constrained_superposition,[],[f7604,f318])).
% 3.94/0.81 thf(f7641,plain,(
% 3.94/0.81 ($false = ((sF2 @ likes_THFTYPE_IiioI))) | ($false = ((sF1 @ likes_THFTYPE_IiioI))) | (~spl10_1 | ~spl10_99)),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f7615])).
% 3.94/0.81 thf(f7644,definition,(
% 3.94/0.81 spl10_102 <=> ($false = ((sF1 @ likes_THFTYPE_IiioI)))),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_102])],[avatar_definition])).
% 3.94/0.81 thf(f7646,plain,(
% 3.94/0.81 ($false = ((sF1 @ likes_THFTYPE_IiioI))) | ~spl10_102),
% 3.94/0.81 inference(avatar_component_clause,[],[f7644])).
% 3.94/0.81 thf(f7648,definition,(
% 3.94/0.81 spl10_103 <=> ($false = ((sF2 @ likes_THFTYPE_IiioI)))),
% 3.94/0.81 introduced(definition,[new_symbols(definition,[spl10_103])],[avatar_definition])).
% 3.94/0.81 thf(f7650,plain,(
% 3.94/0.81 ($false = ((sF2 @ likes_THFTYPE_IiioI))) | ~spl10_103),
% 3.94/0.81 inference(avatar_component_clause,[],[f7648])).
% 3.94/0.81 thf(f7652,plain,(
% 3.94/0.81 spl10_102 | spl10_103 | ~spl10_1 | ~spl10_99),
% 3.94/0.81 inference(avatar_split_clause,[],[f7641,f7497,f356,f7648,f7644])).
% 3.94/0.81 thf(f7659,plain,(
% 3.94/0.81 ($true = $false) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl10_102),
% 3.94/0.81 inference(constrained_superposition,[],[f313,f7646])).
% 3.94/0.81 thf(f7674,plain,(
% 3.94/0.81 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl10_102),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f7659])).
% 3.94/0.81 thf(f7683,plain,(
% 3.94/0.81 spl10_8 | ~spl10_102),
% 3.94/0.81 inference(avatar_split_clause,[],[f7674,f7644,f718])).
% 3.94/0.81 thf(f7709,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl10_8),
% 3.94/0.81 inference(constrained_superposition,[],[f224,f720])).
% 3.94/0.81 thf(f7761,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $false))) | ~spl10_8),
% 3.94/0.81 inference(forward_demodulation,[],[f7709,f291])).
% 3.94/0.81 thf(f7765,plain,(
% 3.94/0.81 ($true = $false) | (~spl10_4 | ~spl10_8)),
% 3.94/0.81 inference(forward_demodulation,[],[f7761,f392])).
% 3.94/0.81 thf(f7766,plain,(
% 3.94/0.81 $false | (~spl10_4 | ~spl10_8)),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f7765])).
% 3.94/0.81 thf(f7767,plain,(
% 3.94/0.81 ~spl10_4 | ~spl10_8),
% 3.94/0.81 inference(avatar_contradiction_clause,[],[f7766])).
% 3.94/0.81 thf(f7819,plain,(
% 3.94/0.81 ($true = $false) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl10_103),
% 3.94/0.81 inference(constrained_superposition,[],[f315,f7650])).
% 3.94/0.81 thf(f7834,plain,(
% 3.94/0.81 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl10_103),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f7819])).
% 3.94/0.81 thf(f7843,plain,(
% 3.94/0.81 spl10_9 | ~spl10_103),
% 3.94/0.81 inference(avatar_split_clause,[],[f7834,f7648,f723])).
% 3.94/0.81 thf(f7869,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl10_9),
% 3.94/0.81 inference(constrained_superposition,[],[f226,f725])).
% 3.94/0.81 thf(f7921,plain,(
% 3.94/0.81 ($true = ((holdsDuring_THFTYPE_IiooI @ sF0 @ $false))) | ~spl10_9),
% 3.94/0.81 inference(forward_demodulation,[],[f7869,f291])).
% 3.94/0.81 thf(f7925,plain,(
% 3.94/0.81 ($true = $false) | (~spl10_4 | ~spl10_9)),
% 3.94/0.81 inference(forward_demodulation,[],[f7921,f392])).
% 3.94/0.81 thf(f7926,plain,(
% 3.94/0.81 $false | (~spl10_4 | ~spl10_9)),
% 3.94/0.81 inference(trivial_inequality_removal,[],[f7925])).
% 3.94/0.81 thf(f7927,plain,(
% 3.94/0.81 ~spl10_4 | ~spl10_9),
% 3.94/0.81 inference(avatar_contradiction_clause,[],[f7926])).
% 3.94/0.81 cnf(s1, plain, spl10_1 | spl10_2, inference(sat_conversion,[],[f362])).
% 3.94/0.81 cnf(s3, plain, spl10_4 | spl10_5, inference(sat_conversion,[],[f407])).
% 3.94/0.81 cnf(s4, plain, ~spl10_2 | ~spl10_4, inference(sat_conversion,[],[f435])).
% 3.94/0.81 cnf(s11, plain, ~spl10_5, inference(sat_conversion,[],[f707])).
% 3.94/0.81 cnf(s254, plain, ~spl10_4 | spl10_95 | spl10_99, inference(sat_conversion,[],[f7500])).
% 3.94/0.81 cnf(s255, plain, ~spl10_95, inference(sat_conversion,[],[f7502])).
% 3.94/0.81 cnf(s259, plain, ~spl10_1 | ~spl10_99 | spl10_102 | spl10_103, inference(sat_conversion,[],[f7652])).
% 3.94/0.81 cnf(s260, plain, spl10_8 | ~spl10_102, inference(sat_conversion,[],[f7683])).
% 3.94/0.81 cnf(s265, plain, ~spl10_4 | ~spl10_8, inference(sat_conversion,[],[f7767])).
% 3.94/0.81 cnf(s266, plain, spl10_9 | ~spl10_103, inference(sat_conversion,[],[f7843])).
% 3.94/0.81 cnf(s271, plain, ~spl10_4 | ~spl10_9, inference(sat_conversion,[],[f7927])).
% 3.94/0.81 cnf(s272, plain, ~spl10_4 | spl10_99, inference(rat,[],[s254,s255])).
% 3.94/0.81 cnf(s286, plain, spl10_4, inference(rat,[],[s3,s11])).
% 3.94/0.81 cnf(s287, plain, ~spl10_9, inference(rat,[],[s271,s286])).
% 3.94/0.81 cnf(s288, plain, ~spl10_8, inference(rat,[],[s265,s286])).
% 3.94/0.81 cnf(s291, plain, spl10_99, inference(rat,[],[s272,s286])).
% 3.94/0.81 cnf(s298, plain, ~spl10_2, inference(rat,[],[s4,s286])).
% 3.94/0.81 cnf(s299, plain, ~spl10_103, inference(rat,[],[s266,s287])).
% 3.94/0.81 cnf(s301, plain, ~spl10_102, inference(rat,[],[s260,s288])).
% 3.94/0.81 cnf(s302, plain, ~spl10_1, inference(rat,[],[s259,s299,s301,s291])).
% 3.94/0.81 cnf(s304, plain, $false, inference(rat,[],[s1,s298,s302])).
% 3.94/0.81 thf(f7928,plain,(
% 3.94/0.81 $false),
% 3.94/0.81 inference(avatar_sat_refutation,[],[s304])).
% 3.94/0.81 % SZS output end Proof for theBenchmark
% 3.94/0.81 % (140432)------------------------------
% 3.94/0.81 % (140432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.81 % (140432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.81 % (140432)CaDiCaL version: 2.1.3
% 3.94/0.81 % (140432)Termination reason: Refutation
% 3.94/0.81 % (140432)Time elapsed: 0.419 s
% 3.94/0.81 % (140432)Peak memory usage: 16 MB
% 3.94/0.81 % (140432)Instructions burned: 910 (million)
% 3.94/0.81 % (140401)Success in time 0.587 s
% 3.94/0.81 % Vampire exiting
%------------------------------------------------------------------------------