%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR134^2 : 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 : n018.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 07:47:17 AM UTC 2026
% Result : Theorem 1.68s 0.50s
% Output : Refutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR134^2 : 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 : n018.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 17:58:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/0.50 % (425581)Will run a generic schedule for satisfiability detection.
% 1.68/0.50 % (425589)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1324458198_2999 on theBenchmark for (2999ds/0Mi)
% 1.68/0.50 % Exception at run slice level
% 1.68/0.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.50 % (425590)% WARNING: option uhcvi not known.
% 1.68/0.50 % (425590)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=102874584:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.68/0.50 % (425592)dis+10_1_sil=32000:sp=arity:random_seed=3624689987:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.68/0.50 % (425593)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3511031910:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.68/0.50 % (425591)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2701841876:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.68/0.50 % (425596)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3361009400:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.68/0.50 % (425594)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1629482474:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.68/0.50 % (425590)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.50 % (425593)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.50 % (425590)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.68/0.50 % (425606)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3569657683:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.68/0.50 % Exception at run slice level
% 1.68/0.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.50 % (425623)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1304506697:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.68/0.50 % (425592)Instruction limit reached!
% 1.68/0.50 % (425592)------------------------------
% 1.68/0.50 % (425592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.50 % (425592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.50 % (425592)CaDiCaL version: 2.1.3
% 1.68/0.50 % (425592)Termination reason: Instruction limit
% 1.68/0.50 % (425592)Termination phase: Saturation
% 1.68/0.50 % (425592)Time elapsed: 0.051 s
% 1.68/0.50 % (425592)Peak memory usage: 12 MB
% 1.68/0.50 % (425592)Instructions burned: 104 (million)
% 1.68/0.50 % (425623)Instruction limit reached!
% 1.68/0.50 % (425623)------------------------------
% 1.68/0.50 % (425623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.50 % (425623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.50 % (425623)CaDiCaL version: 2.1.3
% 1.68/0.50 % (425623)Termination reason: Instruction limit
% 1.68/0.50 % (425623)Termination phase: Saturation
% 1.68/0.50 % (425623)Time elapsed: 0.037 s
% 1.68/0.50 % (425623)Peak memory usage: 13 MB
% 1.68/0.50 % (425623)Instructions burned: 134 (million)
% 1.68/0.50 % (425593)Instruction limit reached!
% 1.68/0.50 % (425593)------------------------------
% 1.68/0.50 % (425593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.50 % (425593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.50 % (425593)CaDiCaL version: 2.1.3
% 1.68/0.50 % (425593)Termination reason: Instruction limit
% 1.68/0.50 % (425593)Termination phase: Saturation
% 1.68/0.50 % (425593)Time elapsed: 0.060 s
% 1.68/0.50 % (425593)Peak memory usage: 13 MB
% 1.68/0.50 % (425593)Instructions burned: 117 (million)
% 1.68/0.50 % (425594)Instruction limit reached!
% 1.68/0.50 % (425594)------------------------------
% 1.68/0.50 % (425594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.50 % (425594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.50 % (425594)CaDiCaL version: 2.1.3
% 1.68/0.50 % (425594)Termination reason: Instruction limit
% 1.68/0.50 % (425594)Termination phase: Saturation
% 1.68/0.50 % (425594)Time elapsed: 0.064 s
% 1.68/0.50 % (425594)Peak memory usage: 12 MB
% 1.68/0.50 % (425594)Instructions burned: 131 (million)
% 1.68/0.50 % (425645)ott-21_1_sil=16000:fs=off:random_seed=1172391535:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.68/0.50 % (425644)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=4134928774:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.68/0.50 % (425644)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.50 % (425644)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.68/0.50 % (425646)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1879665097:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 1.68/0.50 % (425647)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3960936573:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 1.68/0.50 % (425596)Instruction limit reached!
% 1.68/0.50 % (425596)------------------------------
% 1.68/0.50 % (425596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.50 % (425596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.50 % (425596)CaDiCaL version: 2.1.3
% 1.68/0.50 % (425596)Termination reason: Instruction limit
% 1.68/0.50 % (425596)Termination phase: Saturation
% 1.68/0.50 % (425596)Time elapsed: 0.083 s
% 1.68/0.50 % (425596)Peak memory usage: 13 MB
% 1.68/0.50 % (425596)Instructions burned: 164 (million)
% 1.68/0.50 % Exception at run slice level
% 1.68/0.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.50 % (425652)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1713854173:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.68/0.50 % (425653)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=490287722:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.68/0.50 % Exception at run slice level
% 1.68/0.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.68/0.50 % (425645)Instruction limit reached!
% 1.68/0.50 % (425645)------------------------------
% 1.68/0.50 % (425645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.50 % (425645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.50 % (425645)CaDiCaL version: 2.1.3
% 1.68/0.50 % (425645)Termination reason: Instruction limit
% 1.68/0.50 % (425645)Termination phase: Saturation
% 1.68/0.50 % (425645)Time elapsed: 0.049 s
% 1.68/0.50 % (425645)Peak memory usage: 12 MB
% 1.68/0.50 % (425645)Instructions burned: 181 (million)
% 1.68/0.50 % (425657)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1710341726:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 1.68/0.50 % (425657)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.50 % (425656)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=3322753772: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)
% 1.68/0.50 % (425656)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.68/0.50 % (425644) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-425581-425644"...
% 1.68/0.50 % (425644)...printing done.
% 1.68/0.50 % (425644)Refutation found. Thanks to Tanya!
% 1.68/0.50 % SZS status Theorem for theBenchmark
% 1.68/0.50 % SZS output start Proof for theBenchmark
% 1.68/0.50 thf(type_def_5, type, num: $tType).
% 1.68/0.50 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 1.68/0.50 thf(func_def_2, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 1.68/0.50 thf(func_def_3, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 1.68/0.50 thf(func_def_4, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 1.68/0.50 thf(func_def_6, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 1.68/0.50 thf(func_def_7, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 1.68/0.50 thf(func_def_8, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 1.68/0.50 thf(func_def_9, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 1.68/0.50 thf(func_def_10, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_13, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 1.68/0.50 thf(func_def_18, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 1.68/0.50 thf(func_def_29, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 1.68/0.50 thf(func_def_31, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 1.68/0.50 thf(func_def_32, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_33, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_34, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_38, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_39, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_41, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_42, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_43, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_44, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 1.68/0.50 thf(func_def_45, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_46, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 1.68/0.50 thf(func_def_48, type, vNOT: ($o > $o)).
% 1.68/0.50 thf(func_def_51, type, vAND: ($o > $o > $o)).
% 1.68/0.50 thf(func_def_52, type, sK0: ($i > $i)).
% 1.68/0.50 thf(func_def_53, type, db0: !>[X0: $tType]:(X0)).
% 1.68/0.50 thf(func_def_54, type, db1: !>[X0: $tType]:(X0)).
% 1.68/0.50 thf(func_def_55, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.68/0.50 thf(func_def_57, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.68/0.50 thf(f20,axiom,(
% 1.68/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),
% 1.68/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019)).
% 1.68/0.50 thf(f23,axiom,(
% 1.68/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.68/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022)).
% 1.68/0.50 thf(f79,axiom,(
% 1.68/0.50 (instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i)),
% 1.68/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_078)).
% 1.68/0.50 thf(f80,conjecture,(
% 1.68/0.50 ? [X0 : ($i > $i > $o),X1 : $i,X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 1.68/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 1.68/0.50 thf(f81,negated_conjecture,(
% 1.68/0.50 ~ ? [X0 : ($i > $i > $o),X1 : $i,X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 1.68/0.50 inference(negated_conjecture,[status(cth)],[f80])).
% 1.68/0.50 thf(f118,plain,(
% 1.68/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),
% 1.68/0.50 inference(rectify,[],[f20])).
% 1.68/0.50 thf(f119,plain,(
% 1.68/0.50 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
% 1.68/0.50 inference(fool_elimination,[],[f118])).
% 1.68/0.50 thf(f124,plain,(
% 1.68/0.50 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.68/0.50 inference(rectify,[],[f23])).
% 1.68/0.50 thf(f125,plain,(
% 1.68/0.50 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 1.68/0.50 inference(fool_elimination,[],[f124])).
% 1.68/0.50 thf(f236,plain,(
% 1.68/0.50 (instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i)),
% 1.68/0.50 inference(rectify,[],[f79])).
% 1.68/0.50 thf(f237,plain,(
% 1.68/0.50 (((instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i)) = $true)),
% 1.68/0.50 inference(fool_elimination,[],[f236])).
% 1.68/0.50 thf(f238,plain,(
% 1.68/0.50 ~ ? [X0 : ($i > $i > $o),X1 : $i,X2 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 1.68/0.50 inference(rectify,[],[f81])).
% 1.68/0.50 thf(f239,plain,(
% 1.68/0.50 ~ ? [X0 : ($i > $i > $o),X1 : $i,X2 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ X1 @ lAnna_THFTYPE_i) & (~ (X0 @ X2 @ lAnna_THFTYPE_i))))))),
% 1.68/0.50 inference(fool_elimination,[],[f238])).
% 1.68/0.50 thf(f266,plain,(
% 1.68/0.50 ! [X0 : ($i > $i > $o),X1 : $i,X2 : $i] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ X1 @ lAnna_THFTYPE_i) & (~ (X0 @ X2 @ lAnna_THFTYPE_i))))))),
% 1.68/0.50 inference(ennf_transformation,[],[f239])).
% 1.68/0.50 thf(f288,plain,(
% 1.68/0.50 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))) = $true)),
% 1.68/0.50 inference(cnf_transformation,[],[f119])).
% 1.68/0.50 thf(f291,plain,(
% 1.68/0.50 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))) = $true)),
% 1.68/0.50 inference(cnf_transformation,[],[f125])).
% 1.68/0.50 thf(f348,plain,(
% 1.68/0.50 (((instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i)) = $true)),
% 1.68/0.50 inference(cnf_transformation,[],[f237])).
% 1.68/0.50 thf(f349,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ X1 @ lAnna_THFTYPE_i) & (~ (X0 @ X2 @ lAnna_THFTYPE_i))))))) )),
% 1.68/0.50 inference(cnf_transformation,[],[f266])).
% 1.68/0.50 thf(f351,definition,(
% 1.68/0.50 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.68/0.50 introduced(theory,[fool_exhaustiveness_axiom])).
% 1.68/0.50 thf(f370,definition,(
% 1.68/0.50 spl1_2 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 1.68/0.50 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 1.68/0.50 thf(f372,plain,(
% 1.68/0.50 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | spl1_2),
% 1.68/0.50 inference(avatar_component_clause,[],[f370])).
% 1.68/0.50 thf(f440,plain,(
% 1.68/0.50 ( ! [X0 : $o,X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1 @ lAnna_THFTYPE_i) & (~ X0))))) | ($false = X0)) )),
% 1.68/0.50 inference(constrained_superposition,[],[f349,f351])).
% 1.68/0.50 thf(f474,plain,(
% 1.68/0.50 ( ! [X0 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (~ X0))))) | ($false = X0)) )),
% 1.68/0.50 inference(beta-eta_normalization,[],[f440])).
% 1.68/0.50 thf(f475,plain,(
% 1.68/0.50 ( ! [X0 : $o] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ X0)))) | ($false = X0)) )),
% 1.68/0.50 inference(boolean_simplification,[],[f474])).
% 1.68/0.50 thf(f484,definition,(
% 1.68/0.50 spl1_3 <=> ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X2 @ lAnna_THFTYPE_i)) = $true) | (((X0 @ X1 @ lAnna_THFTYPE_i)) = $false))),
% 1.68/0.50 introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition])).
% 1.68/0.50 thf(f485,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X2 @ lAnna_THFTYPE_i)) = $true) | (((X0 @ X1 @ lAnna_THFTYPE_i)) = $false)) ) | ~spl1_3),
% 1.68/0.50 inference(avatar_component_clause,[],[f484])).
% 1.68/0.50 thf(f487,definition,(
% 1.68/0.50 spl1_4 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)))),
% 1.68/0.50 introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition])).
% 1.68/0.50 thf(f594,definition,(
% 1.68/0.50 spl1_25 <=> ! [X2 : $i,X0 : ($i > $i > $i)] : (lWhenFn_THFTYPE_i != ((X0 @ X2 @ lAnna_THFTYPE_i)))),
% 1.68/0.50 introduced(definition,[new_symbols(definition,[spl1_25])],[avatar_definition])).
% 1.68/0.50 thf(f595,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $i)] : ((lWhenFn_THFTYPE_i != ((X0 @ X2 @ lAnna_THFTYPE_i)))) ) | ~spl1_25),
% 1.68/0.50 inference(avatar_component_clause,[],[f594])).
% 1.68/0.50 thf(f851,plain,(
% 1.68/0.50 $false | ~spl1_25),
% 1.68/0.50 inference(equality_resolution,[],[f595])).
% 1.68/0.50 thf(f854,plain,(
% 1.68/0.50 ~spl1_25),
% 1.68/0.50 inference(avatar_contradiction_clause,[],[f851])).
% 1.68/0.50 thf(f872,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | ((((X0 @ X1 @ lAnna_THFTYPE_i) & (~ (X0 @ X2 @ lAnna_THFTYPE_i)))) = $false)) )),
% 1.68/0.50 inference(constrained_superposition,[],[f349,f351])).
% 1.68/0.50 thf(f884,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((~ (X0 @ X2 @ lAnna_THFTYPE_i))) = $false) | (((X0 @ X1 @ lAnna_THFTYPE_i)) = $false)) )),
% 1.68/0.50 inference(and_proxy_clausification,[],[f872])).
% 1.68/0.50 thf(f885,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((X0 @ X2 @ lAnna_THFTYPE_i)) = $true) | (((X0 @ X1 @ lAnna_THFTYPE_i)) = $false)) )),
% 1.68/0.50 inference(not_proxy_clausification,[],[f884])).
% 1.68/0.50 thf(f904,plain,(
% 1.68/0.50 spl1_3 | ~spl1_4),
% 1.68/0.50 inference(avatar_split_clause,[],[f885,f487,f484])).
% 1.68/0.50 thf(f998,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (((^[Y0 : $i]: ((^[Y1 : $i]: (instance_THFTYPE_IiioI @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (lTemporalRelation_THFTYPE_i)))) @ Y0 @ Y1))))) @ X1 @ lAnna_THFTYPE_i) & (~ $true))))) | (lWhenFn_THFTYPE_i != ((X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 1.68/0.50 inference(constrained_superposition,[],[f349,f348])).
% 1.68/0.50 thf(f999,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((instance_THFTYPE_IiioI @ (X0 @ X1 @ lAnna_THFTYPE_i) @ lTemporalRelation_THFTYPE_i) & (~ $true))))) | (lWhenFn_THFTYPE_i != ((X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 1.68/0.50 inference(beta-eta_normalization,[],[f998])).
% 1.68/0.50 thf(f1000,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((instance_THFTYPE_IiioI @ (X0 @ X1 @ lAnna_THFTYPE_i) @ lTemporalRelation_THFTYPE_i) & $false)))) | (lWhenFn_THFTYPE_i != ((X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 1.68/0.50 inference(boolean_simplification,[],[f999])).
% 1.68/0.50 thf(f1001,plain,(
% 1.68/0.50 ( ! [X2 : $i,X0 : ($i > $i > $i)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (lWhenFn_THFTYPE_i != ((X0 @ X2 @ lAnna_THFTYPE_i)))) )),
% 1.68/0.50 inference(boolean_simplification,[],[f1000])).
% 1.68/0.50 thf(f1009,plain,(
% 1.68/0.50 spl1_25 | ~spl1_2),
% 1.68/0.50 inference(avatar_split_clause,[],[f1001,f370,f594])).
% 1.68/0.50 thf(f1329,plain,(
% 1.68/0.50 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X2 @ lAnna_THFTYPE_i))) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X1 @ lAnna_THFTYPE_i)))) ) | ~spl1_3),
% 1.68/0.50 inference(primitive_instantiation,[],[f485])).
% 1.68/0.50 thf(f1939,plain,(
% 1.68/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((X2 = lAnna_THFTYPE_i))) | ($false = ((X1 = lAnna_THFTYPE_i)))) ) | ~spl1_3),
% 1.68/0.50 inference(beta-eta_normalization,[],[f1329])).
% 1.68/0.50 thf(f1940,plain,(
% 1.68/0.50 ( ! [X2 : $i,X1 : $i] : ((lAnna_THFTYPE_i = X2) | ($false = ((X1 = lAnna_THFTYPE_i)))) ) | ~spl1_3),
% 1.68/0.50 inference(equality_proxy_clausification,[],[f1939])).
% 1.68/0.50 thf(f1941,plain,(
% 1.68/0.50 ( ! [X2 : $i,X1 : $i] : ((lAnna_THFTYPE_i = X2) | (lAnna_THFTYPE_i != X1)) ) | ~spl1_3),
% 1.68/0.50 inference(equality_proxy_clausification,[],[f1940])).
% 1.68/0.50 thf(f2003,definition,(
% 1.68/0.50 spl1_64 <=> ! [X1 : $i] : (lAnna_THFTYPE_i = X1)),
% 1.68/0.50 introduced(definition,[new_symbols(definition,[spl1_64])],[avatar_definition])).
% 1.68/0.50 thf(f2004,plain,(
% 1.68/0.50 ( ! [X1 : $i] : ((lAnna_THFTYPE_i = X1)) ) | ~spl1_64),
% 1.68/0.50 inference(avatar_component_clause,[],[f2003])).
% 1.68/0.50 thf(f2006,definition,(
% 1.68/0.50 spl1_65 <=> ! [X2 : $i] : (lAnna_THFTYPE_i != X2)),
% 1.68/0.50 introduced(definition,[new_symbols(definition,[spl1_65])],[avatar_definition])).
% 1.68/0.50 thf(f2007,plain,(
% 1.68/0.50 ( ! [X2 : $i] : ((lAnna_THFTYPE_i != X2)) ) | ~spl1_65),
% 1.68/0.50 inference(avatar_component_clause,[],[f2006])).
% 1.68/0.50 thf(f2011,plain,(
% 1.68/0.50 spl1_65 | spl1_64 | ~spl1_3),
% 1.68/0.50 inference(avatar_split_clause,[],[f1941,f484,f2003,f2006])).
% 1.68/0.50 thf(f2012,plain,(
% 1.68/0.50 ( ! [X0 : $i,X1 : $i] : ((X0 = X1)) ) | ~spl1_64),
% 1.68/0.50 inference(constrained_superposition,[],[f2004,f2004])).
% 1.68/0.50 thf(f4034,plain,(
% 1.68/0.50 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))) = $false)),
% 1.68/0.50 inference(constrained_superposition,[],[f288,f351])).
% 1.68/0.50 thf(f4045,plain,(
% 1.68/0.50 ($true != $true) | (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)),
% 1.68/0.50 inference(constrained_superposition,[],[f475,f288])).
% 1.68/0.50 thf(f4048,plain,(
% 1.68/0.50 (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)),
% 1.68/0.50 inference(trivial_inequality_removal,[],[f4045])).
% 1.68/0.50 thf(f4077,plain,(
% 1.68/0.50 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))) | (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.68/0.50 inference(not_proxy_clausification,[],[f4034])).
% 1.68/0.50 thf(f4115,definition,(
% 1.68/0.50 spl1_74 <=> (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.68/0.50 introduced(definition,[new_symbols(definition,[spl1_74])],[avatar_definition])).
% 1.68/0.50 thf(f4117,plain,(
% 1.68/0.50 (((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $true) | ~spl1_74),
% 1.68/0.50 inference(avatar_component_clause,[],[f4115])).
% 1.68/0.50 thf(f4140,plain,(
% 1.68/0.50 ( ! [X0 : $i] : (($false = ((parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i)))) ) | ~spl1_64),
% 1.68/0.50 inference(constrained_superposition,[],[f4048,f2012])).
% 1.68/0.50 thf(f4280,plain,(
% 1.68/0.50 ($true = $false) | ~spl1_74),
% 1.68/0.50 inference(forward_demodulation,[],[f4117,f4048])).
% 1.68/0.50 thf(f4281,plain,(
% 1.68/0.50 $false | ~spl1_74),
% 1.68/0.50 inference(trivial_inequality_removal,[],[f4280])).
% 1.68/0.50 thf(f4282,plain,(
% 1.68/0.50 ~spl1_74),
% 1.68/0.50 inference(avatar_contradiction_clause,[],[f4281])).
% 1.68/0.50 thf(f4504,plain,(
% 1.68/0.50 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl1_64),
% 1.68/0.50 inference(constrained_superposition,[],[f291,f4140])).
% 1.68/0.50 thf(f4559,plain,(
% 1.68/0.50 $false | (spl1_2 | ~spl1_64)),
% 1.68/0.50 inference(forward_subsumption_resolution,[],[f4504,f372])).
% 1.68/0.50 thf(f4560,plain,(
% 1.68/0.50 spl1_2 | ~spl1_64),
% 1.68/0.50 inference(avatar_contradiction_clause,[],[f4559])).
% 1.68/0.50 thf(f4695,plain,(
% 1.68/0.50 $false | ~spl1_65),
% 1.68/0.50 inference(equality_resolution,[],[f2007])).
% 1.68/0.50 thf(f4696,plain,(
% 1.68/0.50 ~spl1_65),
% 1.68/0.50 inference(avatar_contradiction_clause,[],[f4695])).
% 1.68/0.50 thf(f4697,plain,(
% 1.68/0.50 spl1_74 | spl1_4),
% 1.68/0.50 inference(avatar_split_clause,[],[f4077,f487,f4115])).
% 1.68/0.50 cnf(s53, plain, ~spl1_25, inference(sat_conversion,[],[f854])).
% 1.68/0.50 cnf(s58, plain, spl1_3 | ~spl1_4, inference(sat_conversion,[],[f904])).
% 1.68/0.50 cnf(s73, plain, ~spl1_2 | spl1_25, inference(sat_conversion,[],[f1009])).
% 1.68/0.50 cnf(s107, plain, ~spl1_3 | spl1_64 | spl1_65, inference(sat_conversion,[],[f2011])).
% 1.68/0.50 cnf(s118, plain, ~spl1_74, inference(sat_conversion,[],[f4282])).
% 1.68/0.50 cnf(s120, plain, spl1_2 | ~spl1_64, inference(sat_conversion,[],[f4560])).
% 1.68/0.50 cnf(s133, plain, ~spl1_65, inference(sat_conversion,[],[f4696])).
% 1.68/0.50 cnf(s134, plain, spl1_4 | spl1_74, inference(sat_conversion,[],[f4697])).
% 1.68/0.50 cnf(s137, plain, spl1_4, inference(rat,[],[s134,s118])).
% 1.68/0.50 cnf(s142, plain, ~spl1_3 | spl1_64, inference(rat,[],[s107,s133])).
% 1.68/0.50 cnf(s154, plain, spl1_3, inference(rat,[],[s58,s137])).
% 1.68/0.50 cnf(s156, plain, spl1_64, inference(rat,[],[s142,s154])).
% 1.68/0.50 cnf(s157, plain, spl1_2, inference(rat,[],[s120,s156])).
% 1.68/0.50 cnf(s168, plain, spl1_25, inference(rat,[],[s73,s157])).
% 1.68/0.50 cnf(s179, plain, $false, inference(rat,[],[s53,s168])).
% 1.68/0.50 thf(f4708,plain,(
% 1.68/0.50 $false),
% 1.68/0.50 inference(avatar_sat_refutation,[],[s179])).
% 1.68/0.50 % SZS output end Proof for theBenchmark
% 1.68/0.50 % (425644)------------------------------
% 1.68/0.50 % (425644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.50 % (425644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.50 % (425644)CaDiCaL version: 2.1.3
% 1.68/0.50 % (425644)Termination reason: Refutation
% 1.68/0.50 % (425644)Time elapsed: 0.171 s
% 1.68/0.50 % (425644)Peak memory usage: 15 MB
% 1.68/0.50 % (425644)Instructions burned: 346 (million)
% 1.68/0.50 % (425581)Success in time 0.271 s
% 1.68/0.50 % Vampire exiting
%------------------------------------------------------------------------------