%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR121^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 07:47:03 AM UTC 2026
% Result : Theorem 0.23s 0.34s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR121^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n013.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 17:54:06 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.34 % (2440202)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.34 % (2440211)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3431182905:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.34 % (2440213)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.34 % (2440213)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.34 % (2440211)Instruction limit reached!
% 0.23/0.34 % (2440211)------------------------------
% 0.23/0.34 % (2440211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.34 % (2440211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.34 % (2440211)CaDiCaL version: 2.1.3
% 0.23/0.34 % (2440211)Termination reason: Instruction limit
% 0.23/0.34 % (2440211)Termination phase: Saturation
% 0.23/0.34 % (2440211)Time elapsed: 0.006 s
% 0.23/0.34 % (2440211)Peak memory usage: 11 MB
% 0.23/0.34 % (2440211)Instructions burned: 25 (million)
% 0.23/0.34 % (2440208)lrs+10_16_si=on:nwc=1.5:random_seed=1328787660:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.34 % (2440207)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1771460507:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.34 % (2440209)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1381017038:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.34 % (2440210)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=569041651:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.23/0.34 % (2440212)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2764538946:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.34 % (2440213)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1074775335:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.34 % (2440209)Instruction limit reached!
% 0.23/0.34 % (2440209)------------------------------
% 0.23/0.34 % (2440209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.34 % (2440209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.34 % (2440209)CaDiCaL version: 2.1.3
% 0.23/0.34 % (2440209)Termination reason: Instruction limit
% 0.23/0.34 % (2440209)Termination phase: shuffling
% 0.23/0.34 % (2440209)Time elapsed: 0.003 s
% 0.23/0.34 % (2440209)Peak memory usage: 9 MB
% 0.23/0.34 % (2440209)Instructions burned: 6 (million)
% 0.23/0.34 % (2440208)Instruction limit reached!
% 0.23/0.34 % (2440208)------------------------------
% 0.23/0.34 % (2440208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.34 % (2440208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.34 % (2440215)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1944786572:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.34 % (2440208)CaDiCaL version: 2.1.3
% 0.23/0.34 % (2440208)Termination reason: Instruction limit
% 0.23/0.34 % (2440208)Termination phase: Property scanning
% 0.23/0.34 % (2440208)Time elapsed: 0.008 s
% 0.23/0.34 % (2440208)Peak memory usage: 11 MB
% 0.23/0.34 % (2440208)Instructions burned: 20 (million)
% 0.23/0.34 % (2440215)Instruction limit reached!
% 0.23/0.34 % (2440215)------------------------------
% 0.23/0.34 % (2440215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.34 % (2440215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.34 % (2440215)CaDiCaL version: 2.1.3
% 0.23/0.34 % (2440215)Termination reason: Instruction limit
% 0.23/0.34 % (2440215)Termination phase: shuffling
% 0.23/0.34 % (2440215)Time elapsed: 0.0000 s
% 0.23/0.34 % (2440215)Peak memory usage: 9 MB
% 0.23/0.34 % (2440215)Instructions burned: 3 (million)
% 0.23/0.34 % (2440225)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2650719980:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.23/0.34 % (2440222)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2506679067:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.34 % (2440225)Instruction limit reached!
% 0.23/0.34 % (2440225)------------------------------
% 0.23/0.34 % (2440225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.34 % (2440225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.34 % (2440225)CaDiCaL version: 2.1.3
% 0.23/0.34 % (2440225)Termination reason: Instruction limit
% 0.23/0.34 % (2440225)Termination phase: SInE selection
% 0.23/0.34 % (2440225)Time elapsed: 0.002 s
% 0.23/0.34 % (2440225)Peak memory usage: 10 MB
% 0.23/0.34 % (2440225)Instructions burned: 12 (million)
% 0.23/0.34 % (2440224)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.34 % (2440222)Instruction limit reached!
% 0.23/0.34 % (2440222)------------------------------
% 0.23/0.34 % (2440222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.34 % (2440222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.34 % (2440222)CaDiCaL version: 2.1.3
% 0.23/0.34 % (2440222)Termination reason: Instruction limit
% 0.23/0.34 % (2440222)Termination phase: Property scanning
% 0.23/0.34 % (2440222)Time elapsed: 0.004 s
% 0.23/0.34 % (2440222)Peak memory usage: 10 MB
% 0.23/0.34 % (2440222)Instructions burned: 8 (million)
% 0.23/0.34 % (2440210) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2440202-2440210"...
% 0.23/0.34 % (2440212) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2440202-2440212"...
% 0.23/0.34 % (2440224)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2610110502:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.23/0.34 % (2440210)...printing done.
% 0.23/0.34 % (2440212)...printing done.
% 0.23/0.34 % (2440228)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.34 % (2440228)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.34 % (2440210)Refutation found. Thanks to Tanya!
% 0.23/0.34 % SZS status Theorem for theBenchmark
% 0.23/0.34 % SZS output start Proof for theBenchmark
% 0.23/0.34 thf(type_def_5, type, num: $tType).
% 0.23/0.34 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.23/0.34 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.34 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.34 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.23/0.34 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.23/0.34 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.23/0.34 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.23/0.34 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.23/0.34 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.23/0.34 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.23/0.34 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.34 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.23/0.34 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.23/0.34 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.23/0.34 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.23/0.34 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.23/0.34 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.23/0.34 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.23/0.34 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.34 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.34 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.34 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.34 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.23/0.35 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.23/0.35 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.35 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.23/0.35 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.23/0.35 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.23/0.35 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.23/0.35 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.23/0.35 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.23/0.35 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.23/0.35 thf(func_def_92, type, vAND: ($o > $o > $o)).
% 0.23/0.35 thf(func_def_93, type, vOR: ($o > $o > $o)).
% 0.23/0.35 thf(func_def_95, type, sK1: ($i > $i > $i)).
% 0.23/0.35 thf(func_def_96, type, sK2: (($i > $i > $o) > $i)).
% 0.23/0.35 thf(func_def_97, type, sK3: (($i > $i > $o) > $i)).
% 0.23/0.35 thf(func_def_98, type, sK4: (($i > $i > $o) > $i)).
% 0.23/0.35 thf(func_def_99, type, sK5: (($i > $i > $o) > $i)).
% 0.23/0.35 thf(f51,axiom,(
% 0.23/0.35 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))),
% 0.23/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_050)).
% 0.23/0.35 thf(f190,conjecture,(
% 0.23/0.35 ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.23/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.23/0.35 thf(f191,negated_conjecture,(
% 0.23/0.35 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.23/0.35 inference(negated_conjecture,[status(cth)],[f190])).
% 0.23/0.35 thf(f364,plain,(
% 0.23/0.35 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0))),
% 0.23/0.35 inference(rectify,[],[f191])).
% 0.23/0.35 thf(f365,plain,(
% 0.23/0.35 ~ ? [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)))))),
% 0.23/0.35 inference(fool_elimination,[],[f364])).
% 0.23/0.35 thf(f494,plain,(
% 0.23/0.35 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))),
% 0.23/0.35 inference(rectify,[],[f51])).
% 0.23/0.35 thf(f495,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))))),
% 0.23/0.35 inference(fool_elimination,[],[f494])).
% 0.23/0.35 thf(f600,plain,(
% 0.23/0.35 ! [X0 : $i] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)))))),
% 0.23/0.35 inference(ennf_transformation,[],[f365])).
% 0.23/0.35 thf(f799,plain,(
% 0.23/0.35 ( ! [X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)))))) )),
% 0.23/0.35 inference(cnf_transformation,[],[f600])).
% 0.23/0.35 thf(f817,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))))),
% 0.23/0.35 inference(cnf_transformation,[],[f495])).
% 0.23/0.35 thf(f1548,definition,(
% 0.23/0.35 spl6_137 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))))),
% 0.23/0.35 introduced(definition,[new_symbols(definition,[spl6_137])],[avatar_definition])).
% 0.23/0.35 thf(f1550,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | ~spl6_137),
% 0.23/0.35 inference(avatar_component_clause,[],[f1548])).
% 0.23/0.35 thf(f1551,plain,(
% 0.23/0.35 spl6_137),
% 0.23/0.35 inference(avatar_split_clause,[],[f817,f1548])).
% 0.23/0.35 thf(f1683,definition,(
% 0.23/0.35 spl6_157 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.23/0.35 introduced(definition,[new_symbols(definition,[spl6_157])],[avatar_definition])).
% 0.23/0.35 thf(f1685,plain,(
% 0.23/0.35 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_157),
% 0.23/0.35 inference(avatar_component_clause,[],[f1683])).
% 0.23/0.35 thf(f1692,definition,(
% 0.23/0.35 spl6_159 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.23/0.35 introduced(definition,[new_symbols(definition,[spl6_159])],[avatar_definition])).
% 0.23/0.35 thf(f1694,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl6_159),
% 0.23/0.35 inference(avatar_component_clause,[],[f1692])).
% 0.23/0.35 thf(f1727,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | (~ $false)))))) | (~spl6_137 | ~spl6_157)),
% 0.23/0.35 inference(forward_demodulation,[],[f1550,f1685])).
% 0.23/0.35 thf(f1728,plain,(
% 0.23/0.35 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | $true)))) = $true) | (~spl6_137 | ~spl6_157)),
% 0.23/0.35 inference(boolean_simplification,[],[f1727])).
% 0.23/0.35 thf(f1729,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | (~spl6_137 | ~spl6_157)),
% 0.23/0.35 inference(boolean_simplification,[],[f1728])).
% 0.23/0.35 thf(f1730,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | (~spl6_137 | ~spl6_157)),
% 0.23/0.35 inference(boolean_simplification,[],[f1729])).
% 0.23/0.35 thf(f1731,plain,(
% 0.23/0.35 spl6_159 | ~spl6_137 | ~spl6_157),
% 0.23/0.35 inference(avatar_split_clause,[],[f1730,f1683,f1548,f1692])).
% 0.23/0.35 thf(f1745,plain,(
% 0.23/0.35 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)))) != $true) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) = $false)) )),
% 0.23/0.35 inference(fool_paramodulation,[],[f799])).
% 0.23/0.35 thf(f1748,plain,(
% 0.23/0.35 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | ~spl6_157),
% 0.23/0.35 inference(superposition,[],[f799,f1685])).
% 0.23/0.35 thf(f1750,plain,(
% 0.23/0.35 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl6_157),
% 0.23/0.35 inference(boolean_simplification,[],[f1748])).
% 0.23/0.35 thf(f1753,plain,(
% 0.23/0.35 ( ! [X0 : $i] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0)))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0)) = $false)) )),
% 0.23/0.35 inference(boolean_simplification,[],[f1745])).
% 0.23/0.35 thf(f1755,plain,(
% 0.23/0.35 $false | (~spl6_157 | ~spl6_159)),
% 0.23/0.35 inference(forward_subsumption_resolution,[],[f1750,f1694])).
% 0.23/0.35 thf(f1756,plain,(
% 0.23/0.35 ~spl6_157 | ~spl6_159),
% 0.23/0.35 inference(avatar_contradiction_clause,[],[f1755])).
% 0.23/0.35 thf(f1807,plain,(
% 0.23/0.35 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | (~ $true)))))) | ~spl6_137),
% 0.23/0.35 inference(fool_paramodulation,[],[f1550])).
% 0.23/0.35 thf(f1828,plain,(
% 0.23/0.35 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | $false))))) | ~spl6_137),
% 0.23/0.35 inference(boolean_simplification,[],[f1807])).
% 0.23/0.35 thf(f1829,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_137),
% 0.23/0.35 inference(boolean_simplification,[],[f1828])).
% 0.23/0.35 thf(f1830,plain,(
% 0.23/0.35 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_137),
% 0.23/0.35 inference(boolean_simplification,[],[f1829])).
% 0.23/0.35 thf(f1841,plain,(
% 0.23/0.35 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl6_137),
% 0.23/0.35 inference(forward_subsumption_resolution,[],[f1830,f1753])).
% 0.23/0.35 thf(f1844,plain,(
% 0.23/0.35 spl6_157 | ~spl6_137),
% 0.23/0.35 inference(avatar_split_clause,[],[f1841,f1548,f1683])).
% 0.23/0.35 cnf(s137, plain, spl6_137, inference(sat_conversion,[],[f1551])).
% 0.23/0.35 cnf(s165, plain, ~spl6_137 | ~spl6_157 | spl6_159, inference(sat_conversion,[],[f1731])).
% 0.23/0.35 cnf(s168, plain, ~spl6_157 | ~spl6_159, inference(sat_conversion,[],[f1756])).
% 0.23/0.35 cnf(s180, plain, ~spl6_137 | spl6_157, inference(sat_conversion,[],[f1844])).
% 0.23/0.35 cnf(s181, plain, spl6_157, inference(rat,[],[s180,s137])).
% 0.23/0.35 cnf(s184, plain, ~spl6_159, inference(rat,[],[s168,s181])).
% 0.23/0.35 cnf(s185, plain, $false, inference(rat,[],[s165,s137,s184,s181])).
% 0.23/0.35 thf(f1845,plain,(
% 0.23/0.35 $false),
% 0.23/0.35 inference(avatar_sat_refutation,[],[s185])).
% 0.23/0.35 % SZS output end Proof for theBenchmark
% 0.23/0.35 % (2440210)------------------------------
% 0.23/0.35 % (2440210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.35 % (2440210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.35 % (2440210)CaDiCaL version: 2.1.3
% 0.23/0.35 % (2440210)Termination reason: Refutation
% 0.23/0.35 % (2440210)Time elapsed: 0.028 s
% 0.23/0.35 % (2440210)Peak memory usage: 14 MB
% 0.23/0.35 % (2440210)Instructions burned: 53 (million)
% 0.23/0.35 % (2440202)Success in time 0.078 s
% 0.23/0.35 % Vampire exiting
%------------------------------------------------------------------------------