%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR120^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 07:47:14 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR120^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:56:55 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.27 % (422472)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (422482)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=689354426:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (422482) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-422472-422482"...
% 0.19/0.27 % (422478)% WARNING: option uhcvi not known.
% 0.19/0.27 % (422482)...printing done.
% 0.19/0.27 % (422482)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 thf(type_def_5, type, num: $tType).
% 0.19/0.27 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.19/0.27 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.19/0.27 thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.19/0.27 thf(func_def_8, type, vNOT: ($o > $o)).
% 0.19/0.27 thf(func_def_9, type, vOR: ($o > $o > $o)).
% 0.19/0.27 thf(f1,axiom,(
% 0.19/0.27 (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))))),
% 0.19/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.19/0.27 thf(f2,conjecture,(
% 0.19/0.27 ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.19/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.19/0.27 thf(f3,negated_conjecture,(
% 0.19/0.27 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f2])).
% 0.19/0.27 thf(f4,plain,(
% 0.19/0.27 (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))))),
% 0.19/0.27 inference(rectify,[],[f1])).
% 0.19/0.27 thf(f5,plain,(
% 0.19/0.27 (((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)))))) = $true)),
% 0.19/0.27 inference(fool_elimination,[],[f4])).
% 0.19/0.27 thf(f6,plain,(
% 0.19/0.27 ~ ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 0.19/0.27 inference(rectify,[],[f3])).
% 0.19/0.27 thf(f7,plain,(
% 0.19/0.27 ~ ? [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) = $true)),
% 0.19/0.27 inference(fool_elimination,[],[f6])).
% 0.19/0.27 thf(f8,plain,(
% 0.19/0.27 ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) != $true)),
% 0.19/0.27 inference(ennf_transformation,[],[f7])).
% 0.19/0.27 thf(f9,plain,(
% 0.19/0.27 (((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)))))) = $true)),
% 0.19/0.27 inference(cnf_transformation,[],[f5])).
% 0.19/0.27 thf(f10,plain,(
% 0.19/0.27 ( ! [X0 : $i] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))) != $true)) )),
% 0.19/0.27 inference(cnf_transformation,[],[f8])).
% 0.19/0.27 thf(f12,definition,(
% 0.19/0.27 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.19/0.27 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.19/0.27 thf(f33,plain,(
% 0.19/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ $true) | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.19/0.27 inference(constrained_superposition,[],[f9,f12])).
% 0.19/0.27 thf(f50,plain,(
% 0.19/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ($false | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.19/0.27 inference(boolean_simplification,[],[f33])).
% 0.19/0.27 thf(f51,plain,(
% 0.19/0.27 ($true = ((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)) = $false)),
% 0.19/0.27 inference(boolean_simplification,[],[f50])).
% 0.19/0.27 thf(f52,plain,(
% 0.19/0.27 ($true = ((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)) = $false)),
% 0.19/0.27 inference(boolean_simplification,[],[f51])).
% 0.19/0.27 thf(f65,definition,(
% 0.19/0.27 spl0_4 <=> ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)))),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.19/0.27 thf(f66,plain,(
% 0.19/0.27 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | spl0_4),
% 0.19/0.27 inference(avatar_component_clause,[],[f65])).
% 0.19/0.27 thf(f67,plain,(
% 0.19/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_4),
% 0.19/0.27 inference(avatar_component_clause,[],[f65])).
% 0.19/0.27 thf(f75,plain,(
% 0.19/0.27 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f52,f10])).
% 0.19/0.27 thf(f79,definition,(
% 0.19/0.27 spl0_6 <=> (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false)),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 0.19/0.27 thf(f81,plain,(
% 0.19/0.27 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ~spl0_6),
% 0.19/0.27 inference(avatar_component_clause,[],[f79])).
% 0.19/0.27 thf(f87,plain,(
% 0.19/0.27 spl0_6),
% 0.19/0.27 inference(avatar_split_clause,[],[f75,f79])).
% 0.19/0.27 thf(f90,plain,(
% 0.19/0.27 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_6),
% 0.19/0.27 inference(constrained_superposition,[],[f10,f81])).
% 0.19/0.27 thf(f91,plain,(
% 0.19/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ $false) | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | ~spl0_6),
% 0.19/0.27 inference(constrained_superposition,[],[f9,f81])).
% 0.19/0.27 thf(f92,plain,(
% 0.19/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ($true | (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))))) | ~spl0_6),
% 0.19/0.27 inference(boolean_simplification,[],[f91])).
% 0.19/0.27 thf(f93,plain,(
% 0.19/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ $true)))) | ~spl0_6),
% 0.19/0.27 inference(boolean_simplification,[],[f92])).
% 0.19/0.27 thf(f94,plain,(
% 0.19/0.27 ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))) | ~spl0_6),
% 0.19/0.27 inference(boolean_simplification,[],[f93])).
% 0.19/0.27 thf(f96,plain,(
% 0.19/0.27 $false | (~spl0_4 | ~spl0_6)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f90,f67])).
% 0.19/0.27 thf(f97,plain,(
% 0.19/0.27 ~spl0_4 | ~spl0_6),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f96])).
% 0.19/0.27 thf(f104,plain,(
% 0.19/0.27 $false | (spl0_4 | ~spl0_6)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f94,f66])).
% 0.19/0.27 thf(f105,plain,(
% 0.19/0.27 spl0_4 | ~spl0_6),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f104])).
% 0.19/0.27 cnf(s7, plain, spl0_6, inference(sat_conversion,[],[f87])).
% 0.19/0.27 cnf(s9, plain, ~spl0_4 | ~spl0_6, inference(sat_conversion,[],[f97])).
% 0.19/0.27 cnf(s12, plain, spl0_4 | ~spl0_6, inference(sat_conversion,[],[f105])).
% 0.19/0.27 cnf(s14, plain, spl0_4, inference(rat,[],[s12,s7])).
% 0.19/0.27 cnf(s16, plain, $false, inference(rat,[],[s9,s7,s14])).
% 0.19/0.27 thf(f106,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(avatar_sat_refutation,[],[s16])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (422482)------------------------------
% 0.19/0.27 % (422482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (422482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (422482)CaDiCaL version: 2.1.3
% 0.19/0.27 % (422482)Termination reason: Refutation
% 0.19/0.27 % (422482)Time elapsed: 0.002 s
% 0.19/0.27 % (422482)Peak memory usage: 13 MB
% 0.19/0.27 % (422482)Instructions burned: 4 (million)
% 0.19/0.27 % (422472)Success in time 0.025 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------