%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR122^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 0.08s 0.19s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR122^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 17:54:33 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.14 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19 % (458386)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.19 % (458409)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.19 % (458409)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
% 0.08/0.19 % (458403)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1325781351:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.19 % (458407)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1604293010:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.19 % (458408)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1948660848:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.19 % (458406)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=1088399170: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)
% 0.08/0.19 % (458405)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2409632028:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.19 % (458404)lrs+10_16_si=on:nwc=1.5:random_seed=648628629:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.19 % (458409)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=850932790:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.19 % (458405)Instruction limit reached!
% 0.08/0.19 % (458405)------------------------------
% 0.08/0.19 % (458405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (458405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (458405)CaDiCaL version: 2.1.3
% 0.08/0.19 % (458405)Termination reason: Instruction limit
% 0.08/0.19 % (458405)Termination phase: shuffling
% 0.08/0.19 % (458405)Time elapsed: 0.001 s
% 0.08/0.19 % (458405)Peak memory usage: 10 MB
% 0.08/0.19 % (458405)Instructions burned: 4 (million)
% 0.08/0.19 % (458404)Instruction limit reached!
% 0.08/0.19 % (458404)------------------------------
% 0.08/0.19 % (458404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (458404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (458404)CaDiCaL version: 2.1.3
% 0.08/0.19 % (458404)Termination reason: Instruction limit
% 0.08/0.19 % (458404)Termination phase: Property scanning
% 0.08/0.19 % (458404)Time elapsed: 0.004 s
% 0.08/0.19 % (458404)Peak memory usage: 11 MB
% 0.08/0.19 % (458404)Instructions burned: 18 (million)
% 0.08/0.19 % (458407)Instruction limit reached!
% 0.08/0.19 % (458407)------------------------------
% 0.08/0.19 % (458407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (458407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (458407)CaDiCaL version: 2.1.3
% 0.08/0.19 % (458407)Termination reason: Instruction limit
% 0.08/0.19 % (458407)Termination phase: Saturation
% 0.08/0.19 % (458407)Time elapsed: 0.006 s
% 0.08/0.19 % (458407)Peak memory usage: 12 MB
% 0.08/0.19 % (458407)Instructions burned: 26 (million)
% 0.08/0.19 % (458403) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-458386-458403"...
% 0.08/0.19 % (458403)...printing done.
% 0.08/0.19 % (458409) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-458386-458409"...
% 0.08/0.19 % (458403)Refutation found. Thanks to Tanya!
% 0.08/0.19 % SZS status Theorem for theBenchmark
% 0.08/0.19 % SZS output start Proof for theBenchmark
% 0.08/0.19 thf(type_def_5, type, num: $tType).
% 0.08/0.19 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.19 thf(func_def_2, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_3, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_5, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.08/0.19 thf(func_def_6, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.08/0.19 thf(func_def_7, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.08/0.19 thf(func_def_8, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.08/0.19 thf(func_def_9, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.08/0.19 thf(func_def_10, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.08/0.19 thf(func_def_11, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.08/0.19 thf(func_def_12, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_15, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.08/0.19 thf(func_def_16, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.08/0.19 thf(func_def_17, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.08/0.19 thf(func_def_18, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.08/0.19 thf(func_def_19, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.08/0.19 thf(func_def_20, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.08/0.19 thf(func_def_21, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.08/0.19 thf(func_def_22, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_26, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.19 thf(func_def_30, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.19 thf(func_def_33, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.19 thf(func_def_39, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.08/0.19 thf(func_def_51, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.08/0.19 thf(func_def_59, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.19 thf(func_def_61, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.19 thf(func_def_65, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_66, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_67, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_68, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.08/0.19 thf(func_def_75, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_77, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_78, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_79, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.08/0.19 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
% 0.08/0.19 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_83, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_84, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_85, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.08/0.19 thf(func_def_86, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_87, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.19 thf(func_def_89, type, vNOT: ($o > $o)).
% 0.08/0.19 thf(func_def_92, type, vAND: ($o > $o > $o)).
% 0.08/0.19 thf(func_def_93, type, sK0: (($i > $i > $o) > $i)).
% 0.08/0.19 thf(func_def_94, type, sK1: (($i > $i > $o) > $i)).
% 0.08/0.19 thf(func_def_95, type, sK2: (($i > $i > $o) > $i)).
% 0.08/0.19 thf(func_def_96, type, sK3: (($i > $i > $o) > $i)).
% 0.08/0.19 thf(func_def_97, type, sK4: ($i > $i > $i)).
% 0.08/0.19 thf(f5,axiom,(
% 0.08/0.19 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.08/0.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004)).
% 0.08/0.19 thf(f23,axiom,(
% 0.08/0.19 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.08/0.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_022)).
% 0.08/0.19 thf(f50,axiom,(
% 0.08/0.19 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.08/0.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_049)).
% 0.08/0.19 thf(f193,conjecture,(
% 0.08/0.19 (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))),
% 0.08/0.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.08/0.19 thf(f194,negated_conjecture,(
% 0.08/0.19 ~(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))),
% 0.08/0.19 inference(negated_conjecture,[status(cth)],[f193])).
% 0.08/0.19 thf(f213,plain,(
% 0.08/0.19 ~(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))),
% 0.08/0.19 inference(rectify,[],[f194])).
% 0.08/0.19 thf(f214,plain,(
% 0.08/0.19 ~ (((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)))) = $true)),
% 0.08/0.19 inference(fool_elimination,[],[f213])).
% 0.08/0.19 thf(f215,plain,(
% 0.08/0.19 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.08/0.19 inference(rectify,[],[f50])).
% 0.08/0.19 thf(f216,plain,(
% 0.08/0.19 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.08/0.19 inference(fool_elimination,[],[f215])).
% 0.08/0.19 thf(f233,plain,(
% 0.08/0.19 ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 0.08/0.19 inference(rectify,[],[f5])).
% 0.08/0.19 thf(f234,plain,(
% 0.08/0.19 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)),
% 0.08/0.19 inference(fool_elimination,[],[f233])).
% 0.08/0.19 thf(f389,plain,(
% 0.08/0.19 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.08/0.19 inference(rectify,[],[f23])).
% 0.08/0.19 thf(f390,plain,(
% 0.08/0.19 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.08/0.19 inference(fool_elimination,[],[f389])).
% 0.08/0.19 thf(f579,plain,(
% 0.08/0.19 (((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)))) != $true)),
% 0.08/0.19 inference(flattening,[],[f214])).
% 0.08/0.19 thf(f749,plain,(
% 0.08/0.19 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.08/0.19 inference(cnf_transformation,[],[f216])).
% 0.08/0.19 thf(f775,plain,(
% 0.08/0.19 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.08/0.19 inference(cnf_transformation,[],[f390])).
% 0.08/0.19 thf(f784,plain,(
% 0.08/0.19 (((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)))) != $true)),
% 0.08/0.19 inference(cnf_transformation,[],[f579])).
% 0.08/0.19 thf(f861,plain,(
% 0.08/0.19 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ $true)) = $true)) )),
% 0.08/0.19 inference(cnf_transformation,[],[f234])).
% 0.08/0.19 thf(f880,plain,(
% 0.08/0.19 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) != $true)),
% 0.08/0.19 inference(forward_demodulation,[],[f784,f749])).
% 0.08/0.19 thf(f881,plain,(
% 0.08/0.19 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.08/0.19 inference(boolean_simplification,[],[f880])).
% 0.08/0.19 thf(f882,plain,(
% 0.08/0.19 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true)),
% 0.08/0.19 inference(forward_demodulation,[],[f881,f775])).
% 0.08/0.19 thf(f883,plain,(
% 0.08/0.19 $false),
% 0.08/0.19 inference(forward_subsumption_resolution,[],[f882,f861])).
% 0.08/0.19 % SZS output end Proof for theBenchmark
% 0.08/0.19 % (458403)------------------------------
% 0.08/0.19 % (458403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (458403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (458403)CaDiCaL version: 2.1.3
% 0.08/0.19 % (458403)Termination reason: Refutation
% 0.08/0.19 % (458403)Time elapsed: 0.009 s
% 0.08/0.19 % (458403)Peak memory usage: 12 MB
% 0.08/0.19 % (458403)Instructions burned: 36 (million)
% 0.08/0.19 % (458386)Success in time 0.045 s
% 0.08/0.19 % Vampire exiting
%------------------------------------------------------------------------------