%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR129^2 : 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 : n006.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 07:47:05 AM UTC 2026
% Result : Theorem 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR129^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:55:10 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.23 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
% 0.20/0.30 % (1091742)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.30 % (1091747)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1863038799:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.30 % (1091753)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.30 % (1091753)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
% 0.20/0.30 % (1091747)Refutation not found, incomplete strategy
% 0.20/0.30 % (1091747)------------------------------
% 0.20/0.30 % (1091747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (1091747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (1091747)CaDiCaL version: 2.1.3
% 0.20/0.30 % (1091747)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.30 % (1091747)Time elapsed: 0.006 s
% 0.20/0.30 % (1091747)Peak memory usage: 12 MB
% 0.20/0.30 % (1091747)Instructions burned: 22 (million)
% 0.20/0.30 % (1091747)------------------------------
% 0.20/0.30 % (1091747)------------------------------
% 0.20/0.30 % (1091748)lrs+10_16_si=on:nwc=1.5:random_seed=1238649991:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.30 % (1091752)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3197034242:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.30 % (1091749)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=103876195:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.30 % (1091750)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=2795631000: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)
% 0.20/0.30 % (1091753)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=810622520:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.30 % (1091751)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3950640397:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.30 % (1091749)Instruction limit reached!
% 0.20/0.30 % (1091749)------------------------------
% 0.20/0.30 % (1091749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (1091749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (1091749)CaDiCaL version: 2.1.3
% 0.20/0.30 % (1091749)Termination reason: Instruction limit
% 0.20/0.30 % (1091749)Termination phase: Property scanning
% 0.20/0.30 % (1091749)Time elapsed: 0.002 s
% 0.20/0.30 % (1091749)Peak memory usage: 10 MB
% 0.20/0.30 % (1091749)Instructions burned: 5 (million)
% 0.20/0.30 % (1091748)Instruction limit reached!
% 0.20/0.30 % (1091748)------------------------------
% 0.20/0.30 % (1091748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (1091748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (1091748)CaDiCaL version: 2.1.3
% 0.20/0.30 % (1091748)Termination reason: Instruction limit
% 0.20/0.30 % (1091748)Termination phase: Saturation
% 0.20/0.30 % (1091748)Time elapsed: 0.008 s
% 0.20/0.30 % (1091748)Peak memory usage: 11 MB
% 0.20/0.30 % (1091748)Instructions burned: 18 (million)
% 0.20/0.30 % (1091758)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1556265467:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.30 % (1091751)Instruction limit reached!
% 0.20/0.30 % (1091751)------------------------------
% 0.20/0.30 % (1091751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (1091751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (1091751)CaDiCaL version: 2.1.3
% 0.20/0.30 % (1091751)Termination reason: Instruction limit
% 0.20/0.30 % (1091751)Termination phase: Saturation
% 0.20/0.30 % (1091751)Time elapsed: 0.013 s
% 0.20/0.30 % (1091751)Peak memory usage: 11 MB
% 0.20/0.30 % (1091751)Instructions burned: 25 (million)
% 0.20/0.30 % (1091758)Instruction limit reached!
% 0.20/0.30 % (1091758)------------------------------
% 0.20/0.30 % (1091758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (1091758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (1091758)CaDiCaL version: 2.1.3
% 0.20/0.30 % (1091758)Termination reason: Instruction limit
% 0.20/0.30 % (1091758)Termination phase: Saturation
% 0.20/0.30 % (1091758)Time elapsed: 0.002 s
% 0.20/0.30 % (1091758)Peak memory usage: 11 MB
% 0.20/0.30 % (1091758)Instructions burned: 8 (million)
% 0.20/0.30 % (1091750) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1091742-1091750"...
% 0.20/0.30 % (1091750)...printing done.
% 0.20/0.30 % (1091750)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Theorem for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% 0.20/0.30 thf(type_def_5, type, num: $tType).
% 0.20/0.30 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.30 thf(func_def_2, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
% 0.20/0.30 thf(func_def_3, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
% 0.20/0.30 thf(func_def_4, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
% 0.20/0.30 thf(func_def_6, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.20/0.30 thf(func_def_7, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
% 0.20/0.30 thf(func_def_8, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
% 0.20/0.30 thf(func_def_9, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
% 0.20/0.30 thf(func_def_10, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_13, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.30 thf(func_def_18, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.30 thf(func_def_28, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.30 thf(func_def_30, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.30 thf(func_def_31, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_32, type, located_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_33, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_37, type, parent_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_38, type, part_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_40, type, range_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_41, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_42, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_43, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
% 0.20/0.30 thf(func_def_44, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_45, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.30 thf(func_def_47, type, vNOT: ($o > $o)).
% 0.20/0.30 thf(func_def_50, type, vAND: ($o > $o > $o)).
% 0.20/0.30 thf(f4,axiom,(
% 0.20/0.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)).
% 0.20/0.30 thf(f6,axiom,(
% 0.20/0.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
% 0.20/0.30 thf(f9,axiom,(
% 0.20/0.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 0.20/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008)).
% 0.20/0.30 thf(f12,axiom,(
% 0.20/0.30 ! [X0 : $i,X1 : $o] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 0.20/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_011)).
% 0.20/0.30 thf(f65,conjecture,(
% 0.20/0.30 ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.30 thf(f66,negated_conjecture,(
% 0.20/0.30 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.30 inference(negated_conjecture,[status(cth)],[f65])).
% 0.20/0.30 thf(f89,plain,(
% 0.20/0.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))),
% 0.20/0.30 inference(rectify,[],[f9])).
% 0.20/0.30 thf(f90,plain,(
% 0.20/0.30 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.20/0.30 inference(fool_elimination,[],[f89])).
% 0.20/0.30 thf(f91,plain,(
% 0.20/0.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.30 inference(rectify,[],[f6])).
% 0.20/0.30 thf(f92,plain,(
% 0.20/0.30 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.30 inference(fool_elimination,[],[f91])).
% 0.20/0.30 thf(f117,plain,(
% 0.20/0.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.30 inference(rectify,[],[f4])).
% 0.20/0.30 thf(f118,plain,(
% 0.20/0.30 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.30 inference(fool_elimination,[],[f117])).
% 0.20/0.30 thf(f147,plain,(
% 0.20/0.30 ! [X0 : $i,X1 : $o] : ((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1)) => (~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1)))),
% 0.20/0.30 inference(rectify,[],[f12])).
% 0.20/0.30 thf(f148,plain,(
% 0.20/0.30 ! [X1 : $o,X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) = $true) => (((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true))),
% 0.20/0.30 inference(fool_elimination,[],[f147])).
% 0.20/0.30 thf(f161,plain,(
% 0.20/0.30 ~ ? [X0 : ($i > $i > $o)] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.30 inference(rectify,[],[f66])).
% 0.20/0.30 thf(f162,plain,(
% 0.20/0.30 ~ ? [X0 : ($i > $i > $o)] : ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.30 inference(fool_elimination,[],[f161])).
% 0.20/0.30 thf(f197,plain,(
% 0.20/0.30 ! [X0 : ($i > $i > $o)] : ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.30 inference(ennf_transformation,[],[f162])).
% 0.20/0.30 thf(f206,plain,(
% 0.20/0.30 ! [X1 : $o,X0 : $i] : ((((~ (holdsDuring_THFTYPE_IiooI @ X0 @ X1))) = $true) | (((holdsDuring_THFTYPE_IiooI @ X0 @ (~ X1))) != $true))),
% 0.20/0.30 inference(ennf_transformation,[],[f148])).
% 0.20/0.30 thf(f228,plain,(
% 0.20/0.30 ! [X0 : $o,X1 : $i] : (($true = ((~ (holdsDuring_THFTYPE_IiooI @ X1 @ X0)))) | (((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0))) != $true))),
% 0.20/0.30 inference(rectify,[],[f206])).
% 0.20/0.30 thf(f243,plain,(
% 0.20/0.30 ( ! [X0 : ($i > $i > $o)] : (($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))) )),
% 0.20/0.30 inference(cnf_transformation,[],[f197])).
% 0.20/0.30 thf(f247,plain,(
% 0.20/0.30 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.30 inference(cnf_transformation,[],[f92])).
% 0.20/0.30 thf(f275,plain,(
% 0.20/0.30 ( ! [X0 : $o,X1 : $i] : (($true = ((~ (holdsDuring_THFTYPE_IiooI @ X1 @ X0)))) | (((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0))) != $true)) )),
% 0.20/0.30 inference(cnf_transformation,[],[f228])).
% 0.20/0.30 thf(f289,plain,(
% 0.20/0.30 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.30 inference(cnf_transformation,[],[f118])).
% 0.20/0.30 thf(f291,plain,(
% 0.20/0.30 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.20/0.30 inference(cnf_transformation,[],[f90])).
% 0.20/0.30 thf(f307,plain,(
% 0.20/0.30 ( ! [X0 : $o,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X1 @ (~ X0))) != $true) | (((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $false)) )),
% 0.20/0.30 inference(not_proxy_clausification,[],[f275])).
% 0.20/0.30 thf(f324,definition,(
% 0.20/0.30 spl0_4 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true)),
% 0.20/0.30 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.20/0.30 thf(f326,plain,(
% 0.20/0.30 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))) = $true) | ~spl0_4),
% 0.20/0.31 inference(avatar_component_clause,[],[f324])).
% 0.20/0.31 thf(f327,plain,(
% 0.20/0.31 spl0_4),
% 0.20/0.31 inference(avatar_split_clause,[],[f291,f324])).
% 0.20/0.31 thf(f389,definition,(
% 0.20/0.31 spl0_17 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.31 introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition])).
% 0.20/0.31 thf(f391,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true) | ~spl0_17),
% 0.20/0.31 inference(avatar_component_clause,[],[f389])).
% 0.20/0.31 thf(f392,plain,(
% 0.20/0.31 spl0_17),
% 0.20/0.31 inference(avatar_split_clause,[],[f289,f389])).
% 0.20/0.31 thf(f419,definition,(
% 0.20/0.31 spl0_23 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.31 introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition])).
% 0.20/0.31 thf(f421,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true) | ~spl0_23),
% 0.20/0.31 inference(avatar_component_clause,[],[f419])).
% 0.20/0.31 thf(f422,plain,(
% 0.20/0.31 spl0_23),
% 0.20/0.31 inference(avatar_split_clause,[],[f247,f419])).
% 0.20/0.31 thf(f539,definition,(
% 0.20/0.31 spl0_47 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true)),
% 0.20/0.31 introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition])).
% 0.20/0.31 thf(f541,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true) | ~spl0_47),
% 0.20/0.31 inference(avatar_component_clause,[],[f539])).
% 0.20/0.31 thf(f543,plain,(
% 0.20/0.31 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true) | ~spl0_17),
% 0.20/0.31 inference(fool_paramodulation,[],[f391])).
% 0.20/0.31 thf(f545,definition,(
% 0.20/0.31 spl0_48 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.31 introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition])).
% 0.20/0.31 thf(f547,plain,(
% 0.20/0.31 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_48),
% 0.20/0.31 inference(avatar_component_clause,[],[f545])).
% 0.20/0.31 thf(f548,plain,(
% 0.20/0.31 spl0_48 | spl0_47 | ~spl0_17),
% 0.20/0.31 inference(avatar_split_clause,[],[f543,f389,f539,f545])).
% 0.20/0.31 thf(f561,plain,(
% 0.20/0.31 ( ! [X0 : $o,X1 : $i] : ((((~ X0)) = $false) | (((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $false) | ($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ $true)))) )),
% 0.20/0.31 inference(fool_paramodulation,[],[f307])).
% 0.20/0.31 thf(f562,plain,(
% 0.20/0.31 ( ! [X0 : $o,X1 : $i] : ((((holdsDuring_THFTYPE_IiooI @ X1 @ X0)) = $false) | ($true = X0) | ($true != ((holdsDuring_THFTYPE_IiooI @ X1 @ $true)))) )),
% 0.20/0.31 inference(not_proxy_clausification,[],[f561])).
% 0.20/0.31 thf(f563,plain,(
% 0.20/0.31 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true))) = $true) | ~spl0_4),
% 0.20/0.31 inference(fool_paramodulation,[],[f326])).
% 0.20/0.31 thf(f567,plain,(
% 0.20/0.31 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true) | ~spl0_4),
% 0.20/0.31 inference(boolean_simplification,[],[f563])).
% 0.20/0.31 thf(f575,definition,(
% 0.20/0.31 spl0_50 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true)),
% 0.20/0.31 introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition])).
% 0.20/0.31 thf(f577,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true) | ~spl0_50),
% 0.20/0.31 inference(avatar_component_clause,[],[f575])).
% 0.20/0.31 thf(f579,definition,(
% 0.20/0.31 spl0_51 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false)),
% 0.20/0.31 introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition])).
% 0.20/0.31 thf(f581,plain,(
% 0.20/0.31 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $false) | ~spl0_51),
% 0.20/0.31 inference(avatar_component_clause,[],[f579])).
% 0.20/0.31 thf(f582,plain,(
% 0.20/0.31 spl0_50 | spl0_51 | ~spl0_4),
% 0.20/0.31 inference(avatar_split_clause,[],[f567,f324,f579,f575])).
% 0.20/0.31 thf(f652,plain,(
% 0.20/0.31 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & $false)))) | ~spl0_48),
% 0.20/0.31 inference(superposition,[],[f243,f547])).
% 0.20/0.31 thf(f653,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) != $true) | ~spl0_48),
% 0.20/0.31 inference(boolean_simplification,[],[f652])).
% 0.20/0.31 thf(f654,plain,(
% 0.20/0.31 $false | (~spl0_48 | ~spl0_50)),
% 0.20/0.31 inference(forward_subsumption_resolution,[],[f653,f577])).
% 0.20/0.31 thf(f655,plain,(
% 0.20/0.31 ~spl0_48 | ~spl0_50),
% 0.20/0.31 inference(avatar_contradiction_clause,[],[f654])).
% 0.20/0.31 thf(f667,plain,(
% 0.20/0.31 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $false)))) | (~spl0_4 | ~spl0_51)),
% 0.20/0.31 inference(superposition,[],[f326,f581])).
% 0.20/0.31 thf(f668,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true) | (~spl0_4 | ~spl0_51)),
% 0.20/0.31 inference(boolean_simplification,[],[f667])).
% 0.20/0.31 thf(f669,plain,(
% 0.20/0.31 spl0_47 | ~spl0_4 | ~spl0_51),
% 0.20/0.31 inference(avatar_split_clause,[],[f668,f579,f324,f539])).
% 0.20/0.31 thf(f682,plain,(
% 0.20/0.31 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true) | ($true = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true) | ~spl0_23),
% 0.20/0.31 inference(superposition,[],[f421,f562])).
% 0.20/0.31 thf(f701,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true) | ~spl0_23),
% 0.20/0.31 inference(trivial_inequality_removal,[],[f682])).
% 0.20/0.31 thf(f728,plain,(
% 0.20/0.31 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true) | (~spl0_23 | ~spl0_47)),
% 0.20/0.31 inference(forward_subsumption_resolution,[],[f701,f541])).
% 0.20/0.31 thf(f752,definition,(
% 0.20/0.31 spl0_64 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.20/0.31 introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition])).
% 0.20/0.31 thf(f754,plain,(
% 0.20/0.31 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true) | ~spl0_64),
% 0.20/0.31 inference(avatar_component_clause,[],[f752])).
% 0.20/0.31 thf(f755,plain,(
% 0.20/0.31 spl0_64 | ~spl0_23 | ~spl0_47),
% 0.20/0.31 inference(avatar_split_clause,[],[f728,f539,f419,f752])).
% 0.20/0.31 thf(f795,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) != $true) | ~spl0_64),
% 0.20/0.31 inference(superposition,[],[f243,f754])).
% 0.20/0.31 thf(f797,plain,(
% 0.20/0.31 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true) | ~spl0_64),
% 0.20/0.31 inference(boolean_simplification,[],[f795])).
% 0.20/0.31 thf(f798,plain,(
% 0.20/0.31 $false | (~spl0_17 | ~spl0_64)),
% 0.20/0.31 inference(forward_subsumption_resolution,[],[f797,f391])).
% 0.20/0.31 thf(f799,plain,(
% 0.20/0.31 ~spl0_17 | ~spl0_64),
% 0.20/0.31 inference(avatar_contradiction_clause,[],[f798])).
% 0.20/0.31 cnf(s4, plain, spl0_4, inference(sat_conversion,[],[f327])).
% 0.20/0.31 cnf(s17, plain, spl0_17, inference(sat_conversion,[],[f392])).
% 0.20/0.31 cnf(s23, plain, spl0_23, inference(sat_conversion,[],[f422])).
% 0.20/0.31 cnf(s50, plain, ~spl0_17 | spl0_47 | spl0_48, inference(sat_conversion,[],[f548])).
% 0.20/0.31 cnf(s52, plain, ~spl0_4 | spl0_50 | spl0_51, inference(sat_conversion,[],[f582])).
% 0.20/0.31 cnf(s64, plain, ~spl0_48 | ~spl0_50, inference(sat_conversion,[],[f655])).
% 0.20/0.31 cnf(s67, plain, ~spl0_4 | spl0_47 | ~spl0_51, inference(sat_conversion,[],[f669])).
% 0.20/0.31 cnf(s73, plain, ~spl0_23 | ~spl0_47 | spl0_64, inference(sat_conversion,[],[f755])).
% 0.20/0.31 cnf(s86, plain, ~spl0_17 | ~spl0_64, inference(sat_conversion,[],[f799])).
% 0.20/0.31 cnf(s87, plain, ~spl0_64, inference(rat,[],[s86,s17])).
% 0.20/0.31 cnf(s88, plain, ~spl0_47, inference(rat,[],[s73,s23,s87])).
% 0.20/0.31 cnf(s94, plain, spl0_48, inference(rat,[],[s50,s17,s88])).
% 0.20/0.31 cnf(s95, plain, ~spl0_50, inference(rat,[],[s64,s94])).
% 0.20/0.31 cnf(s97, plain, ~spl0_51, inference(rat,[],[s67,s88,s4])).
% 0.20/0.31 cnf(s99, plain, $false, inference(rat,[],[s52,s95,s97,s4])).
% 0.20/0.31 thf(f800,plain,(
% 0.20/0.31 $false),
% 0.20/0.31 inference(avatar_sat_refutation,[],[s99])).
% 0.20/0.31 % SZS output end Proof for theBenchmark
% 0.20/0.31 % (1091750)------------------------------
% 0.20/0.31 % (1091750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (1091750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (1091750)CaDiCaL version: 2.1.3
% 0.20/0.31 % (1091750)Termination reason: Refutation
% 0.20/0.31 % (1091750)Time elapsed: 0.019 s
% 0.20/0.31 % (1091750)Peak memory usage: 13 MB
% 0.20/0.31 % (1091750)Instructions burned: 31 (million)
% 0.20/0.31 % (1091742)Success in time 0.066 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------