%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR145^2 : 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 : 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 07:47:10 AM UTC 2026
% Result : Theorem 0.08s 0.21s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR145^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/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 17:56:48 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.14 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
% 0.08/0.21 % (465581)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.21 % (465592)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.21 % (465592)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
% 0.08/0.21 % (465586)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3684468624:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.21 % (465591)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1061293207:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.21 % (465589)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=2718602563: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)
% 0.08/0.21 % (465590)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=864570316:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.21 % (465587)lrs+10_16_si=on:nwc=1.5:random_seed=825731500:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.21 % (465588)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2096152352:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.21 % (465592)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=3919784043:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.21 % (465588)Instruction limit reached!
% 0.08/0.21 % (465588)------------------------------
% 0.08/0.21 % (465588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465588)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465588)Termination reason: Instruction limit
% 0.08/0.21 % (465588)Termination phase: Property scanning
% 0.08/0.21 % (465588)Time elapsed: 0.003 s
% 0.08/0.21 % (465588)Peak memory usage: 10 MB
% 0.08/0.21 % (465588)Instructions burned: 13 (million)
% 0.08/0.21 % (465587)Instruction limit reached!
% 0.08/0.21 % (465587)------------------------------
% 0.08/0.21 % (465587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465587)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465587)Termination reason: Instruction limit
% 0.08/0.21 % (465587)Termination phase: Preprocessing 3
% 0.08/0.21 % (465587)Time elapsed: 0.005 s
% 0.08/0.21 % (465587)Peak memory usage: 10 MB
% 0.08/0.21 % (465587)Instructions burned: 21 (million)
% 0.08/0.21 % (465590)Instruction limit reached!
% 0.08/0.21 % (465590)------------------------------
% 0.08/0.21 % (465590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465590)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465590)Termination reason: Instruction limit
% 0.08/0.21 % (465590)Termination phase: Property scanning
% 0.08/0.21 % (465590)Time elapsed: 0.006 s
% 0.08/0.21 % (465590)Peak memory usage: 10 MB
% 0.08/0.21 % (465590)Instructions burned: 26 (million)
% 0.08/0.21 % (465600)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1233860579:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.08/0.21 % (465602)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.21 % (465600)Instruction limit reached!
% 0.08/0.21 % (465600)------------------------------
% 0.08/0.21 % (465600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465600)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465600)Termination reason: Instruction limit
% 0.08/0.21 % (465600)Termination phase: shuffling
% 0.08/0.21 % (465600)Time elapsed: 0.001 s
% 0.08/0.21 % (465600)Peak memory usage: 10 MB
% 0.08/0.21 % (465600)Instructions burned: 4 (million)
% 0.08/0.21 % (465601)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3329266763:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.08/0.21 % (465602)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=159195048:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.08/0.21 % (465601)Instruction limit reached!
% 0.08/0.21 % (465601)------------------------------
% 0.08/0.21 % (465601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465601)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465601)Termination reason: Instruction limit
% 0.08/0.21 % (465601)Termination phase: shuffling
% 0.08/0.21 % (465601)Time elapsed: 0.002 s
% 0.08/0.21 % (465601)Peak memory usage: 10 MB
% 0.08/0.21 % (465601)Instructions burned: 9 (million)
% 0.08/0.21 % (465602)Instruction limit reached!
% 0.08/0.21 % (465602)------------------------------
% 0.08/0.21 % (465602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465602)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465602)Termination reason: Instruction limit
% 0.08/0.21 % (465602)Termination phase: shuffling
% 0.08/0.21 % (465602)Time elapsed: 0.002 s
% 0.08/0.21 % (465602)Peak memory usage: 10 MB
% 0.08/0.21 % (465602)Instructions burned: 11 (million)
% 0.08/0.21 % (465591)Instruction limit reached!
% 0.08/0.21 % (465591)------------------------------
% 0.08/0.21 % (465591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465591)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465591)Termination reason: Instruction limit
% 0.08/0.21 % (465591)Termination phase: Saturation
% 0.08/0.21 % (465591)Time elapsed: 0.019 s
% 0.08/0.21 % (465591)Peak memory usage: 13 MB
% 0.08/0.21 % (465591)Instructions burned: 78 (million)
% 0.08/0.21 % (465586)Instruction limit reached!
% 0.08/0.21 % (465586)------------------------------
% 0.08/0.21 % (465586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465586)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465586)Termination reason: Instruction limit
% 0.08/0.21 % (465586)Termination phase: Saturation
% 0.08/0.21 % (465586)Time elapsed: 0.022 s
% 0.08/0.21 % (465586)Peak memory usage: 13 MB
% 0.08/0.21 % (465586)Instructions burned: 87 (million)
% 0.08/0.21 % (465589) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-465581-465589"...
% 0.08/0.21 % (465604)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2452963906:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.08/0.21 % (465589)...printing done.
% 0.08/0.21 % (465607)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
% 0.08/0.21 % (465607)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.21 % (465589)Refutation found. Thanks to Tanya!
% 0.08/0.21 % SZS status Theorem for theBenchmark
% 0.08/0.21 % SZS output start Proof for theBenchmark
% 0.08/0.21 thf(type_def_5, type, num: $tType).
% 0.08/0.21 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.21 thf(func_def_0, type, agent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_2, type, believes_THFTYPE_IiooI: ($i > $o > $o)).
% 0.08/0.21 thf(func_def_4, type, containsInformation_THFTYPE_IiooI: ($i > $o > $o)).
% 0.08/0.21 thf(func_def_5, type, contraryAttribute_THFTYPE_IioI: ($i > $o)).
% 0.08/0.21 thf(func_def_6, type, contraryAttribute_THFTYPE_IoooI: ($o > $o > $o)).
% 0.08/0.21 thf(func_def_7, type, disjointDecomposition_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_8, type, disjointDecomposition_THFTYPE_IioI: ($i > $o)).
% 0.08/0.21 thf(func_def_9, type, disjointRelation_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 0.08/0.21 thf(func_def_10, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_11, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_13, type, domainSubclass_THFTYPE_IIioIiioI: (($i > $o) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_14, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.08/0.21 thf(func_def_15, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_16, type, domain_THFTYPE_IIIioIiioIiioI: ((($i > $o) > $i > $i > $o) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_17, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_18, type, domain_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_19, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_20, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_21, type, domain_THFTYPE_IIioIiioI: (($i > $o) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_22, type, domain_THFTYPE_IIiooIiioI: (($i > $o > $o) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_23, type, domain_THFTYPE_IIoooIiioI: (($o > $o > $o) > $i > $i > $o)).
% 0.08/0.21 thf(func_def_24, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.08/0.21 thf(func_def_26, type, greaterThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_27, type, greaterThan_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_28, type, gt_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_29, type, gtet_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_30, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.08/0.21 thf(func_def_31, type, husband_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_32, type, inList_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_33, type, instance_THFTYPE_IIIiioIIiioIoIioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $o)).
% 0.08/0.21 thf(func_def_34, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
% 0.08/0.21 thf(func_def_35, type, instance_THFTYPE_IIIioIiioIioI: ((($i > $o) > $i > $i > $o) > $i > $o)).
% 0.08/0.21 thf(func_def_36, type, instance_THFTYPE_IIiIiioIoIioI: (($i > ($i > $i > $o) > $o) > $i > $o)).
% 0.08/0.21 thf(func_def_37, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.08/0.21 thf(func_def_38, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
% 0.08/0.21 thf(func_def_39, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
% 0.08/0.21 thf(func_def_40, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.08/0.21 thf(func_def_41, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.08/0.21 thf(func_def_42, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_43, type, instance_THFTYPE_IoioI: ($o > $i > $o)).
% 0.08/0.21 thf(func_def_44, type, instrument_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_45, type, inverse_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.08/0.21 thf(func_def_46, type, knows_THFTYPE_IiooI: ($i > $o > $o)).
% 0.08/0.21 thf(func_def_51, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.21 thf(func_def_62, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.21 thf(func_def_74, type, lListFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.21 thf(func_def_76, type, lListOrderFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.08/0.21 thf(func_def_79, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
% 0.08/0.21 thf(func_def_108, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.08/0.21 thf(func_def_110, type, lessThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_111, type, lessThan_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_112, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_113, type, lt_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_114, type, ltet_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_115, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_116, type, member_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_121, type, orientation_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.08/0.21 thf(func_def_122, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_123, type, partition_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.08/0.21 thf(func_def_125, type, property_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_126, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_128, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.08/0.21 thf(func_def_129, type, relatedInternalConcept_THFTYPE_IIioIIiioIoI: (($i > $o) > ($i > $i > $o) > $o)).
% 0.08/0.21 thf(func_def_130, type, relatedInternalConcept_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 0.08/0.21 thf(func_def_131, type, relatedInternalConcept_THFTYPE_IiIiooIoI: ($i > ($i > $o > $o) > $o)).
% 0.08/0.21 thf(func_def_132, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_135, type, subAttribute_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_136, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_137, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_138, type, subrelation_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 0.08/0.21 thf(func_def_139, type, subrelation_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.08/0.21 thf(func_def_140, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.08/0.21 thf(func_def_141, type, subrelation_THFTYPE_IIoooIIiioIoI: (($o > $o > $o) > ($i > $i > $o) > $o)).
% 0.08/0.21 thf(func_def_142, type, subrelation_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
% 0.08/0.21 thf(func_def_143, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_144, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_145, type, truth_THFTYPE_IoooI: ($o > $o > $o)).
% 0.08/0.21 thf(func_def_146, type, wife_THFTYPE_IiioI: ($i > $i > $o)).
% 0.08/0.21 thf(func_def_148, type, vNOT: ($o > $o)).
% 0.08/0.21 thf(func_def_151, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.08/0.21 thf(func_def_152, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.08/0.21 thf(func_def_153, type, vAND: ($o > $o > $o)).
% 0.08/0.21 thf(func_def_154, type, sK0: ($i > $i > $i)).
% 0.08/0.21 thf(func_def_157, type, sK3: ($i > $i)).
% 0.08/0.21 thf(func_def_158, type, sK4: (($i > $i > $o) > $i)).
% 0.08/0.21 thf(func_def_159, type, sK5: (($i > $i > $o) > $i)).
% 0.08/0.21 thf(func_def_160, type, sK6: (($i > $i > $o) > $i)).
% 0.08/0.21 thf(func_def_161, type, sK7: (($i > $i > $o) > $i)).
% 0.08/0.21 thf(func_def_162, type, sK8: ($i > $i)).
% 0.08/0.21 thf(func_def_163, type, sK9: ($i > $i)).
% 0.08/0.21 thf(func_def_164, type, sK10: ($i > $o)).
% 0.08/0.21 thf(func_def_165, type, sK11: ($i > $i > $i)).
% 0.08/0.21 thf(func_def_166, type, sK12: (($i > $i > $o) > $i)).
% 0.08/0.21 thf(func_def_167, type, sK13: (($i > $i > $o) > $i)).
% 0.08/0.21 thf(func_def_168, type, sK14: ($i > $i > $i)).
% 0.08/0.21 thf(func_def_171, type, db0: !>[X0: $tType]:(X0)).
% 0.08/0.21 thf(func_def_172, type, db1: !>[X0: $tType]:(X0)).
% 0.08/0.21 thf(f32,axiom,(
% 0.08/0.21 ! [X0 : ($i > $i > $o)] : (! [X1 : $i] : (~ (X0 @ X1 @ X1)) <=> (instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i))),
% 0.08/0.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_031)).
% 0.08/0.21 thf(f96,axiom,(
% 0.08/0.21 (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)),
% 0.08/0.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_095)).
% 0.08/0.21 thf(f172,axiom,(
% 0.08/0.21 (instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)),
% 0.08/0.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_171)).
% 0.08/0.21 thf(f317,conjecture,(
% 0.08/0.21 ? [X0 : ($i > $i > $o)] : ((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i) & (~ ((^[X1 : $i, X2 : $i] : ($true)) = X0)))),
% 0.08/0.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.08/0.21 thf(f318,negated_conjecture,(
% 0.08/0.21 ~ ? [X0 : ($i > $i > $o)] : ((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i) & (~ ((^[X1 : $i, X2 : $i] : ($true)) = X0)))),
% 0.08/0.21 inference(negated_conjecture,[status(cth)],[f317])).
% 0.08/0.21 thf(f525,plain,(
% 0.08/0.21 (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)),
% 0.08/0.21 inference(rectify,[],[f96])).
% 0.08/0.21 thf(f526,plain,(
% 0.08/0.21 (((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)),
% 0.08/0.21 inference(fool_elimination,[],[f525])).
% 0.08/0.21 thf(f655,plain,(
% 0.08/0.21 ~ ? [X0 : ($i > $i > $o)] : ((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i) & (~ ((^[X1 : $i, X2 : $i] : ($true)) = X0)))),
% 0.08/0.21 inference(rectify,[],[f318])).
% 0.08/0.21 thf(f656,plain,(
% 0.08/0.21 ~ ? [X0 : ($i > $i > $o)] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $true) & (((~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))) = $true))),
% 0.08/0.21 inference(fool_elimination,[],[f655])).
% 0.08/0.21 thf(f687,plain,(
% 0.08/0.21 (instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)),
% 0.08/0.21 inference(rectify,[],[f172])).
% 0.08/0.21 thf(f688,plain,(
% 0.08/0.21 (((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)) = $true)),
% 0.08/0.21 inference(fool_elimination,[],[f687])).
% 0.08/0.21 thf(f813,plain,(
% 0.08/0.21 ! [X0 : ($i > $i > $o)] : (! [X1 : $i] : (~ (X0 @ X1 @ X1)) <=> (instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i))),
% 0.08/0.21 inference(rectify,[],[f32])).
% 0.08/0.21 thf(f814,plain,(
% 0.08/0.21 ! [X0 : ($i > $i > $o)] : (! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) <=> (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true))),
% 0.08/0.21 inference(fool_elimination,[],[f813])).
% 0.08/0.21 thf(f1001,plain,(
% 0.08/0.21 ! [X0 : ($i > $i > $o)] : ((((~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))) != $true) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true))),
% 0.08/0.21 inference(ennf_transformation,[],[f656])).
% 0.08/0.21 thf(f1050,plain,(
% 0.08/0.21 ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ? [X1 : $i] : (((~ (X0 @ X1 @ X1))) != $true)))),
% 0.08/0.21 inference(nnf_transformation,[],[f814])).
% 0.08/0.21 thf(f1051,plain,(
% 0.08/0.21 ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ? [X2 : $i] : ($true != ((~ (X0 @ X2 @ X2))))))),
% 0.08/0.21 inference(rectify,[],[f1050])).
% 0.08/0.21 thf(f1052,plain,(
% 0.08/0.21 ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | (((~ (X0 @ (sK7 @ X0) @ (sK7 @ X0)))) != $true)))),
% 0.08/0.21 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK0 @ X1 @ X0)],[f1051])).
% 0.08/0.21 thf(f1222,plain,(
% 0.08/0.21 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true) | (((~ (X0 @ X1 @ X1))) = $true)) )),
% 0.08/0.21 inference(cnf_transformation,[],[f1052])).
% 0.08/0.21 thf(f1228,plain,(
% 0.08/0.21 ( ! [X0 : ($i > $i > $o)] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true) | (((~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))) != $true)) )),
% 0.08/0.21 inference(cnf_transformation,[],[f1001])).
% 0.08/0.21 thf(f1272,plain,(
% 0.08/0.21 (((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)) = $true)),
% 0.08/0.21 inference(cnf_transformation,[],[f688])).
% 0.08/0.21 thf(f1425,plain,(
% 0.08/0.21 (((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)),
% 0.08/0.21 inference(cnf_transformation,[],[f526])).
% 0.08/0.21 thf(f1464,plain,(
% 0.08/0.21 ( ! [X0 : ($i > $i > $o)] : (((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) = $true) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true)) )),
% 0.08/0.21 inference(not_proxy_clausification,[],[f1228])).
% 0.08/0.21 thf(f1465,plain,(
% 0.08/0.21 ( ! [X0 : ($i > $i > $o)] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true)) )),
% 0.08/0.21 inference(equality_proxy_clausification,[],[f1464])).
% 0.08/0.21 thf(f1466,plain,(
% 0.08/0.21 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true) | (((X0 @ X1 @ X1)) = $false)) )),
% 0.08/0.21 inference(not_proxy_clausification,[],[f1222])).
% 0.08/0.21 thf(f1615,definition,(
% 0.08/0.21 spl16_29 <=> (((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)) = $true)),
% 0.08/0.21 introduced(definition,[new_symbols(definition,[spl16_29])],[avatar_definition])).
% 0.08/0.21 thf(f1617,plain,(
% 0.08/0.21 (((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ~spl16_29),
% 0.08/0.21 inference(avatar_component_clause,[],[f1615])).
% 0.08/0.21 thf(f1618,plain,(
% 0.08/0.21 spl16_29),
% 0.08/0.21 inference(avatar_split_clause,[],[f1272,f1615])).
% 0.08/0.21 thf(f2030,definition,(
% 0.08/0.21 spl16_112 <=> (((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)),
% 0.08/0.21 introduced(definition,[new_symbols(definition,[spl16_112])],[avatar_definition])).
% 0.08/0.21 thf(f2032,plain,(
% 0.08/0.21 (((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true) | ~spl16_112),
% 0.08/0.21 inference(avatar_component_clause,[],[f2030])).
% 0.08/0.21 thf(f2033,plain,(
% 0.08/0.21 spl16_112),
% 0.08/0.21 inference(avatar_split_clause,[],[f1425,f2030])).
% 0.08/0.21 thf(f2759,plain,(
% 0.08/0.21 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true) | (((X0 @ X1)) = (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1)))) )),
% 0.08/0.21 inference(argument_congruence,[],[f1465])).
% 0.08/0.21 thf(f2761,plain,(
% 0.08/0.21 ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1)) = (^[Y0 : $i]: ($true))) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true)) )),
% 0.08/0.21 inference(beta-eta_normalization,[],[f2759])).
% 0.08/0.21 thf(f2811,plain,(
% 0.08/0.21 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true) | (((X0 @ X1 @ X2)) = (((^[Y0 : $i]: ($true)) @ X2)))) )),
% 0.08/0.21 inference(argument_congruence,[],[f2761])).
% 0.08/0.21 thf(f2812,plain,(
% 0.08/0.21 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($false = (((^[Y0 : $i]: ($true)) @ X2))) | (((X0 @ X1 @ X2)) = $true) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true)) )),
% 0.08/0.21 inference(iff_proxy_clausification,[],[f2811])).
% 0.08/0.21 thf(f2815,plain,(
% 0.08/0.21 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($false = $true) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true) | (((X0 @ X1 @ X2)) = $true)) )),
% 0.08/0.21 inference(beta-eta_normalization,[],[f2812])).
% 0.08/0.21 thf(f2816,plain,(
% 0.08/0.21 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1 @ X2)) = $true) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true)) )),
% 0.08/0.21 inference(trivial_inequality_removal,[],[f2815])).
% 0.08/0.21 thf(f2884,definition,(
% 0.08/0.21 spl16_262 <=> (lChris_THFTYPE_i = lCorina_THFTYPE_i)),
% 0.08/0.21 introduced(definition,[new_symbols(definition,[spl16_262])],[avatar_definition])).
% 0.08/0.21 thf(f2885,plain,(
% 0.08/0.21 (lChris_THFTYPE_i = lCorina_THFTYPE_i) | ~spl16_262),
% 0.08/0.21 inference(avatar_component_clause,[],[f2884])).
% 0.08/0.21 thf(f2886,plain,(
% 0.08/0.21 (lChris_THFTYPE_i != lCorina_THFTYPE_i) | spl16_262),
% 0.08/0.21 inference(avatar_component_clause,[],[f2884])).
% 0.08/0.21 thf(f2909,plain,(
% 0.08/0.21 ( ! [X0 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X0))) | ($true != $true)) ) | ~spl16_29),
% 0.08/0.21 inference(superposition,[],[f1466,f1617])).
% 0.08/0.21 thf(f2910,plain,(
% 0.08/0.21 ( ! [X0 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X0)))) ) | ~spl16_29),
% 0.08/0.21 inference(trivial_inequality_removal,[],[f2909])).
% 0.08/0.21 thf(f2912,plain,(
% 0.08/0.21 ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X1 @ X2)) = $true) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) != $true)) )),
% 0.08/0.21 inference(primitive_instantiation,[],[f2816])).
% 0.08/0.21 thf(f2964,plain,(
% 0.08/0.21 ( ! [X2 : $i,X1 : $i] : ((((~ (lChris_THFTYPE_i = lCorina_THFTYPE_i))) != $true) | (((~ (X1 = X2))) = $true)) )),
% 0.08/0.21 inference(beta-eta_normalization,[],[f2912])).
% 0.08/0.21 thf(f2965,plain,(
% 0.08/0.21 ( ! [X2 : $i,X1 : $i] : ((((~ (X1 = X2))) = $true) | (((lChris_THFTYPE_i = lCorina_THFTYPE_i)) = $true)) )),
% 0.08/0.21 inference(not_proxy_clausification,[],[f2964])).
% 0.08/0.21 thf(f2966,plain,(
% 0.08/0.21 ( ! [X2 : $i,X1 : $i] : ((((lChris_THFTYPE_i = lCorina_THFTYPE_i)) = $true) | ($false = ((X1 = X2)))) )),
% 0.08/0.21 inference(not_proxy_clausification,[],[f2965])).
% 0.08/0.21 thf(f2967,plain,(
% 0.08/0.21 ( ! [X2 : $i,X1 : $i] : (($false = ((X1 = X2))) | (lChris_THFTYPE_i = lCorina_THFTYPE_i)) )),
% 0.08/0.21 inference(equality_proxy_clausification,[],[f2966])).
% 0.08/0.21 thf(f2968,plain,(
% 0.08/0.21 ( ! [X2 : $i,X1 : $i] : ((lChris_THFTYPE_i = lCorina_THFTYPE_i) | (X1 != X2)) )),
% 0.08/0.21 inference(equality_proxy_clausification,[],[f2967])).
% 0.08/0.21 thf(f3009,plain,(
% 0.08/0.21 ( ! [X2 : $i,X1 : $i] : ((X1 != X2)) ) | spl16_262),
% 0.08/0.21 inference(forward_subsumption_resolution,[],[f2968,f2886])).
% 0.08/0.21 thf(f3010,plain,(
% 0.08/0.21 $false | spl16_262),
% 0.08/0.21 inference(flex-flex_simplification,[],[f3009])).
% 0.08/0.21 thf(f3011,plain,(
% 0.08/0.21 spl16_262),
% 0.08/0.21 inference(avatar_contradiction_clause,[],[f3010])).
% 0.08/0.21 thf(f3055,plain,(
% 0.08/0.21 ($true = ((wife_THFTYPE_IiioI @ lChris_THFTYPE_i @ lChris_THFTYPE_i))) | (~spl16_112 | ~spl16_262)),
% 0.08/0.21 inference(superposition,[],[f2032,f2885])).
% 0.08/0.21 thf(f3057,definition,(
% 0.08/0.21 spl16_283 <=> ($true = ((wife_THFTYPE_IiioI @ lChris_THFTYPE_i @ lChris_THFTYPE_i)))),
% 0.08/0.21 introduced(definition,[new_symbols(definition,[spl16_283])],[avatar_definition])).
% 0.08/0.21 thf(f3059,plain,(
% 0.08/0.21 ($true = ((wife_THFTYPE_IiioI @ lChris_THFTYPE_i @ lChris_THFTYPE_i))) | ~spl16_283),
% 0.08/0.21 inference(avatar_component_clause,[],[f3057])).
% 0.08/0.21 thf(f3060,plain,(
% 0.08/0.21 spl16_283 | ~spl16_112 | ~spl16_262),
% 0.08/0.21 inference(avatar_split_clause,[],[f3055,f2884,f2030,f3057])).
% 0.08/0.21 thf(f3082,plain,(
% 0.08/0.21 ($false = $true) | (~spl16_29 | ~spl16_283)),
% 0.08/0.21 inference(superposition,[],[f2910,f3059])).
% 0.08/0.21 thf(f3090,plain,(
% 0.08/0.21 $false | (~spl16_29 | ~spl16_283)),
% 0.08/0.21 inference(trivial_inequality_removal,[],[f3082])).
% 0.08/0.21 thf(f3091,plain,(
% 0.08/0.21 ~spl16_29 | ~spl16_283),
% 0.08/0.21 inference(avatar_contradiction_clause,[],[f3090])).
% 0.08/0.21 cnf(s29, plain, spl16_29, inference(sat_conversion,[],[f1618])).
% 0.08/0.21 cnf(s112, plain, spl16_112, inference(sat_conversion,[],[f2033])).
% 0.08/0.21 cnf(s283, plain, spl16_262, inference(sat_conversion,[],[f3011])).
% 0.08/0.21 cnf(s294, plain, ~spl16_112 | ~spl16_262 | spl16_283, inference(sat_conversion,[],[f3060])).
% 0.08/0.21 cnf(s299, plain, ~spl16_29 | ~spl16_283, inference(sat_conversion,[],[f3091])).
% 0.08/0.21 cnf(s308, plain, spl16_283, inference(rat,[],[s294,s283,s112])).
% 0.08/0.21 cnf(s309, plain, ~spl16_29, inference(rat,[],[s299,s308])).
% 0.08/0.21 cnf(s310, plain, $false, inference(rat,[],[s29,s309])).
% 0.08/0.21 thf(f3098,plain,(
% 0.08/0.21 $false),
% 0.08/0.21 inference(avatar_sat_refutation,[],[s310])).
% 0.08/0.21 % SZS output end Proof for theBenchmark
% 0.08/0.21 % (465589)------------------------------
% 0.08/0.21 % (465589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (465589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (465589)CaDiCaL version: 2.1.3
% 0.08/0.21 % (465589)Termination reason: Refutation
% 0.08/0.21 % (465589)Time elapsed: 0.025 s
% 0.08/0.21 % (465589)Peak memory usage: 15 MB
% 0.08/0.21 % (465589)Instructions burned: 90 (million)
% 0.08/0.21 % (465581)Success in time 0.065 s
% 0.08/0.21 % Vampire exiting
%------------------------------------------------------------------------------