%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR151^1 : 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 : n008.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 07:47:12 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR151^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n008.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:58:24 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.24 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
% 0.20/0.29 % (3509891)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.29 % (3509911)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.29 % (3509911)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
% 0.20/0.29 % (3509909)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4006855471:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.29 % (3509906)lrs+10_16_si=on:nwc=1.5:random_seed=3472191151:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.29 % (3509908)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=1725337926: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)
% 0.20/0.29 % (3509907)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1898399787:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.29 % (3509910)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2838456224:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.29 % (3509911)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=2264771870:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.29 % (3509907) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3509891-3509907"...
% 0.20/0.29 % (3509910) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3509891-3509910"...
% 0.20/0.29 % (3509909)Refutation not found, incomplete strategy
% 0.20/0.29 % (3509909)------------------------------
% 0.20/0.29 % (3509909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3509909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3509909)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3509909)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.29 % (3509909)Time elapsed: 0.001 s
% 0.20/0.29 % (3509909)Peak memory usage: 11 MB
% 0.20/0.29 % (3509909)Instructions burned: 1 (million)
% 0.20/0.29 % (3509906)Refutation not found, incomplete strategy
% 0.20/0.29 % (3509906)------------------------------
% 0.20/0.29 % (3509906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3509906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3509906)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3509906)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.29 % (3509906)Time elapsed: 0.001 s
% 0.20/0.29 % (3509906)Peak memory usage: 11 MB
% 0.20/0.29 % (3509906)Instructions burned: 1 (million)
% 0.20/0.29 % (3509908) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3509891-3509908"...
% 0.20/0.29 % (3509909)------------------------------
% 0.20/0.29 % (3509909)------------------------------
% 0.20/0.29 % (3509906)------------------------------
% 0.20/0.29 % (3509906)------------------------------
% 0.20/0.29 % (3509907)...printing done.
% 0.20/0.29 % (3509910)...printing done.
% 0.20/0.29 % (3509908)...printing done.
% 0.20/0.29 % (3509907)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% 0.20/0.29 thf(type_def_5, type, num: $tType).
% 0.20/0.29 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.29 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.20/0.29 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.29 thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.29 thf(func_def_8, type, vAND: ($o > $o > $o)).
% 0.20/0.29 thf(f1,axiom,(
% 0.20/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.20/0.29 thf(f2,conjecture,(
% 0.20/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.29 thf(f3,negated_conjecture,(
% 0.20/0.29 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.29 inference(negated_conjecture,[status(cth)],[f2])).
% 0.20/0.29 thf(f4,plain,(
% 0.20/0.29 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.29 inference(rectify,[],[f1])).
% 0.20/0.29 thf(f5,plain,(
% 0.20/0.29 ($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)))))),
% 0.20/0.29 inference(fool_elimination,[],[f4])).
% 0.20/0.29 thf(f6,plain,(
% 0.20/0.29 ~(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))),
% 0.20/0.29 inference(rectify,[],[f3])).
% 0.20/0.29 thf(f7,plain,(
% 0.20/0.29 ~ ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.29 inference(fool_elimination,[],[f6])).
% 0.20/0.29 thf(f8,plain,(
% 0.20/0.29 ($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)))))),
% 0.20/0.29 inference(flattening,[],[f7])).
% 0.20/0.29 thf(f9,plain,(
% 0.20/0.29 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.29 inference(cnf_transformation,[],[f8])).
% 0.20/0.29 thf(f10,plain,(
% 0.20/0.29 ($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)))))),
% 0.20/0.29 inference(cnf_transformation,[],[f5])).
% 0.20/0.29 thf(f13,plain,(
% 0.20/0.29 $false),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f10,f9])).
% 0.20/0.29 % SZS output end Proof for theBenchmark
% 0.20/0.29 % (3509907)------------------------------
% 0.20/0.29 % (3509907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3509907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3509907)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3509907)Termination reason: Refutation
% 0.20/0.29 % (3509907)Time elapsed: 0.001 s
% 0.20/0.29 % (3509907)Peak memory usage: 11 MB
% 0.20/0.29 % (3509907)Instructions burned: 1 (million)
% 0.20/0.29 % (3509891)Success in time 0.04 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------