%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR119^1 : 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 : n011.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 07:47:02 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR119^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:53:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 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
% 0.20/0.28 % (431527)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.28 % (431533)lrs+10_16_si=on:nwc=1.5:random_seed=918045453:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.28 % (431533)Refutation not found, incomplete strategy
% 0.20/0.28 % (431533)------------------------------
% 0.20/0.28 % (431533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (431533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (431533)CaDiCaL version: 2.1.3
% 0.20/0.28 % (431533)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (431533)Time elapsed: 0.001 s
% 0.20/0.28 % (431533)Peak memory usage: 12 MB
% 0.20/0.28 % (431533)------------------------------
% 0.20/0.28 % (431533)------------------------------
% 0.20/0.28 % (431538)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.28 % (431538)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
% 0.20/0.28 % (431532)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2362819346:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.28 % (431534)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1489538301:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.28 % (431535)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=3591846843: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)
% 0.20/0.28 % (431537)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=540607571:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.28 % (431536)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3849288229:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.28 % (431538)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=2664805648:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.28 % (431534)Refutation not found, incomplete strategy
% 0.20/0.28 % (431534)------------------------------
% 0.20/0.28 % (431534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (431532)Refutation not found, incomplete strategy
% 0.20/0.28 % (431532)------------------------------
% 0.20/0.28 % (431532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (431534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (431532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (431532)CaDiCaL version: 2.1.3
% 0.20/0.28 % (431534)CaDiCaL version: 2.1.3
% 0.20/0.28 % (431534)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (431534)Time elapsed: 0.001 s
% 0.20/0.28 % (431532)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (431532)Time elapsed: 0.001 s
% 0.20/0.28 % (431534)Peak memory usage: 12 MB
% 0.20/0.28 % (431532)Peak memory usage: 12 MB
% 0.20/0.28 % (431536)Refutation not found, incomplete strategy
% 0.20/0.28 % (431536)------------------------------
% 0.20/0.28 % (431536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (431536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (431536)CaDiCaL version: 2.1.3
% 0.20/0.28 % (431536)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.28 % (431536)Time elapsed: 0.001 s
% 0.20/0.28 % (431536)Peak memory usage: 11 MB
% 0.20/0.28 % (431534)------------------------------
% 0.20/0.28 % (431534)------------------------------
% 0.20/0.28 % (431532)------------------------------
% 0.20/0.28 % (431532)------------------------------
% 0.20/0.28 % (431536)------------------------------
% 0.20/0.28 % (431536)------------------------------
% 0.20/0.28 % (431537) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-431527-431537"...
% 0.20/0.28 % (431535) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-431527-431535"...
% 0.20/0.28 % (431537)...printing done.
% 0.20/0.28 % (431540)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=979493655:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.28 % (431535)...printing done.
% 0.20/0.28 % (431537)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% 0.20/0.28 thf(type_def_5, type, num: $tType).
% 0.20/0.28 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.28 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.20/0.28 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.28 thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.28 thf(func_def_8, type, vAND: ($o > $o > $o)).
% 0.20/0.28 thf(f1,axiom,(
% 0.20/0.28 (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))),
% 0.20/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax)).
% 0.20/0.28 thf(f2,conjecture,(
% 0.20/0.28 ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.20/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.20/0.28 thf(f3,negated_conjecture,(
% 0.20/0.28 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.20/0.28 inference(negated_conjecture,[status(cth)],[f2])).
% 0.20/0.28 thf(f4,plain,(
% 0.20/0.28 (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))),
% 0.20/0.28 inference(rectify,[],[f1])).
% 0.20/0.28 thf(f5,plain,(
% 0.20/0.28 (((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)),
% 0.20/0.28 inference(fool_elimination,[],[f4])).
% 0.20/0.28 thf(f6,plain,(
% 0.20/0.28 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.20/0.28 inference(rectify,[],[f3])).
% 0.20/0.28 thf(f7,plain,(
% 0.20/0.28 ~ ? [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.28 inference(fool_elimination,[],[f6])).
% 0.20/0.28 thf(f8,plain,(
% 0.20/0.28 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) != $true)),
% 0.20/0.28 inference(ennf_transformation,[],[f7])).
% 0.20/0.28 thf(f9,plain,(
% 0.20/0.28 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) != $true)) )),
% 0.20/0.28 inference(cnf_transformation,[],[f8])).
% 0.20/0.28 thf(f10,plain,(
% 0.20/0.28 (((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)),
% 0.20/0.28 inference(cnf_transformation,[],[f5])).
% 0.20/0.28 thf(f12,definition,(
% 0.20/0.28 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.20/0.28 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.20/0.28 thf(f16,plain,(
% 0.20/0.28 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & $true)))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.28 inference(constrained_superposition,[],[f10,f12])).
% 0.20/0.28 thf(f17,plain,(
% 0.20/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) = $true) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.28 inference(constrained_superposition,[],[f10,f12])).
% 0.20/0.28 thf(f18,plain,(
% 0.20/0.28 ( ! [X0 : $i] : (($true != $true) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) = $false)) )),
% 0.20/0.28 inference(constrained_superposition,[],[f9,f12])).
% 0.20/0.28 thf(f21,plain,(
% 0.20/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))) = $true) | (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.28 inference(boolean_simplification,[],[f17])).
% 0.20/0.28 thf(f23,plain,(
% 0.20/0.28 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.28 inference(boolean_simplification,[],[f16])).
% 0.20/0.28 thf(f24,plain,(
% 0.20/0.28 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) = $false)) )),
% 0.20/0.28 inference(trivial_inequality_removal,[],[f18])).
% 0.20/0.28 thf(f36,plain,(
% 0.20/0.28 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.28 inference(forward_subsumption_resolution,[],[f21,f9])).
% 0.20/0.28 thf(f38,definition,(
% 0.20/0.28 spl0_3 <=> (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.28 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.20/0.28 thf(f39,plain,(
% 0.20/0.28 (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_3),
% 0.20/0.28 inference(avatar_component_clause,[],[f38])).
% 0.20/0.28 thf(f41,definition,(
% 0.20/0.28 spl0_4 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.28 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.20/0.28 thf(f42,plain,(
% 0.20/0.28 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_4),
% 0.20/0.28 inference(avatar_component_clause,[],[f41])).
% 0.20/0.28 thf(f45,plain,(
% 0.20/0.28 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.20/0.28 inference(forward_subsumption_resolution,[],[f23,f9])).
% 0.20/0.28 thf(f47,plain,(
% 0.20/0.28 spl0_3),
% 0.20/0.28 inference(avatar_split_clause,[],[f36,f38])).
% 0.20/0.28 thf(f48,plain,(
% 0.20/0.28 spl0_4),
% 0.20/0.28 inference(avatar_split_clause,[],[f45,f41])).
% 0.20/0.28 thf(f49,plain,(
% 0.20/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & $false))) = $true) | ~spl0_4),
% 0.20/0.28 inference(backward_demodulation,[],[f10,f42])).
% 0.20/0.28 thf(f50,plain,(
% 0.20/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true) | ~spl0_4),
% 0.20/0.28 inference(boolean_simplification,[],[f49])).
% 0.20/0.28 thf(f67,plain,(
% 0.20/0.28 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $false) | ~spl0_3),
% 0.20/0.28 inference(constrained_superposition,[],[f24,f39])).
% 0.20/0.28 thf(f69,plain,(
% 0.20/0.28 ($true = $false) | (~spl0_3 | ~spl0_4)),
% 0.20/0.28 inference(backward_demodulation,[],[f50,f67])).
% 0.20/0.28 thf(f70,plain,(
% 0.20/0.28 $false | (~spl0_3 | ~spl0_4)),
% 0.20/0.28 inference(trivial_inequality_removal,[],[f69])).
% 0.20/0.28 thf(f71,plain,(
% 0.20/0.28 ~spl0_3 | ~spl0_4),
% 0.20/0.28 inference(avatar_contradiction_clause,[],[f70])).
% 0.20/0.28 cnf(s3, plain, spl0_3, inference(sat_conversion,[],[f47])).
% 0.20/0.28 cnf(s4, plain, spl0_4, inference(sat_conversion,[],[f48])).
% 0.20/0.28 cnf(s5, plain, ~spl0_3 | ~spl0_4, inference(sat_conversion,[],[f71])).
% 0.20/0.28 cnf(s6, plain, ~spl0_3, inference(rat,[],[s5,s4])).
% 0.20/0.28 cnf(s7, plain, $false, inference(rat,[],[s3,s6])).
% 0.20/0.28 thf(f72,plain,(
% 0.20/0.28 $false),
% 0.20/0.28 inference(avatar_sat_refutation,[],[s7])).
% 0.20/0.28 % SZS output end Proof for theBenchmark
% 0.20/0.28 % (431537)------------------------------
% 0.20/0.28 % (431537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (431537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (431537)CaDiCaL version: 2.1.3
% 0.20/0.28 % (431537)Termination reason: Refutation
% 0.20/0.28 % (431537)Time elapsed: 0.004 s
% 0.20/0.28 % (431537)Peak memory usage: 13 MB
% 0.20/0.28 % (431537)Instructions burned: 4 (million)
% 0.20/0.28 % (431527)Success in time 0.043 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------