%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR127_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 : Tue Sep 29 09:45:59 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR127_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 23:36:05 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.27 % (679782)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (679789)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4027777299:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (679789) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-679782-679789"...
% 0.20/0.27 % (679789)...printing done.
% 0.20/0.27 % (679788)% WARNING: option uhcvi not known.
% 0.20/0.27 % (679789)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% 0.20/0.27 tff(type_def_5, type, num: $tType).
% 0.20/0.27 tff(func_def_5, type, bG0: $i > $o).
% 0.20/0.27 tff(func_def_8, type, bG1: $i > $o).
% 0.20/0.27 tff(pred_def_1, type, holdsDuring_THFTYPE_IiooI: ($i * $o) > $o).
% 0.20/0.27 tff(f1,axiom,(
% 0.20/0.27 likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.20/0.27 tff(f2,axiom,(
% 0.20/0.27 ! [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) => likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 0.20/0.27 tff(f3,conjecture,(
% 0.20/0.27 ? [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.27 tff(f4,negated_conjecture,(
% 0.20/0.27 ~ ? [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i))),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f3])).
% 0.20/0.27 tff(f5,definition,(
% 0.20/0.27 ! [X0 : $i] : ((likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) => likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) <=> (bG0(X0) = $true))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition])).
% 0.20/0.27 tff(f6,plain,(
% 0.20/0.27 ! [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0))),
% 0.20/0.27 inference(fool_elimination,[],[f2,f5])).
% 0.20/0.27 tff(f7,definition,(
% 0.20/0.27 ! [X0 : $i] : (likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) <=> ($true = bG1(X0)))),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition])).
% 0.20/0.27 tff(f8,plain,(
% 0.20/0.27 ~ ? [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))),
% 0.20/0.27 inference(fool_elimination,[],[f4,f7])).
% 0.20/0.27 tff(f9,plain,(
% 0.20/0.27 ! [X0 : $i] : ((likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)) <=> (bG0(X0) = $true))),
% 0.20/0.27 inference(ennf_transformation,[],[f5])).
% 0.20/0.27 tff(f10,plain,(
% 0.20/0.27 ! [X0 : $i] : ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))),
% 0.20/0.27 inference(ennf_transformation,[],[f8])).
% 0.20/0.27 tff(f11,plain,(
% 0.20/0.27 ! [X0 : $i] : ((likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) | ($true != bG1(X0))) & (($true = bG1(X0)) | ~likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)))),
% 0.20/0.27 inference(nnf_transformation,[],[f7])).
% 0.20/0.27 tff(f12,plain,(
% 0.20/0.27 ! [X0 : $i] : (((likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)) | (bG0(X0) != $true)) & ((bG0(X0) = $true) | (~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) & likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0))))),
% 0.20/0.27 inference(nnf_transformation,[],[f9])).
% 0.20/0.27 tff(f13,plain,(
% 0.20/0.27 ! [X0 : $i] : ((likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) | (bG0(X0) != $true)) & ((bG0(X0) = $true) | (~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) & likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0))))),
% 0.20/0.27 inference(flattening,[],[f12])).
% 0.20/0.27 tff(f14,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (~likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) | ($true = bG1(X0))) )),
% 0.20/0.27 inference(cnf_transformation,[],[f11])).
% 0.20/0.27 tff(f15,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (($true != bG1(X0)) | likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)) )),
% 0.20/0.27 inference(cnf_transformation,[],[f11])).
% 0.20/0.27 tff(f17,plain,(
% 0.20/0.27 ( ! [X0 : $i] : ((bG0(X0) = $true) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) )),
% 0.20/0.27 inference(cnf_transformation,[],[f13])).
% 0.20/0.27 tff(f19,plain,(
% 0.20/0.27 likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)),
% 0.20/0.27 inference(cnf_transformation,[],[f1])).
% 0.20/0.27 tff(f20,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0))) )),
% 0.20/0.27 inference(cnf_transformation,[],[f6])).
% 0.20/0.27 tff(f21,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))) )),
% 0.20/0.27 inference(cnf_transformation,[],[f10])).
% 0.20/0.27 tff(f23,definition,(
% 0.20/0.27 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.20/0.27 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.20/0.27 tff(f32,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) | (bG1(X0) = $false)) )),
% 0.20/0.27 inference(superposition,[],[f21,f23])).
% 0.20/0.27 tff(f36,definition,(
% 0.20/0.27 spl2_3 <=> ! [X0 : $i] : (bG1(X0) = $false)),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition])).
% 0.20/0.27 tff(f37,plain,(
% 0.20/0.27 ( ! [X0 : $i] : ((bG1(X0) = $false)) ) | ~spl2_3),
% 0.20/0.27 inference(avatar_component_clause,[],[f36])).
% 0.20/0.27 tff(f39,definition,(
% 0.20/0.27 spl2_4 <=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)),
% 0.20/0.27 introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition])).
% 0.20/0.27 tff(f41,plain,(
% 0.20/0.27 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) | spl2_4),
% 0.20/0.27 inference(avatar_component_clause,[],[f39])).
% 0.20/0.27 tff(f42,plain,(
% 0.20/0.27 spl2_3 | ~spl2_4),
% 0.20/0.27 inference(avatar_split_clause,[],[f32,f39,f36])).
% 0.20/0.27 tff(f76,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (($true = $false) | ~likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)) ) | ~spl2_3),
% 0.20/0.27 inference(forward_demodulation,[],[f14,f37])).
% 0.20/0.27 tff(f77,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (~likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)) ) | ~spl2_3),
% 0.20/0.27 inference(trivial_inequality_removal,[],[f76])).
% 0.20/0.27 tff(f78,plain,(
% 0.20/0.27 $false | ~spl2_3),
% 0.20/0.27 inference(resolution,[],[f77,f19])).
% 0.20/0.27 tff(f79,plain,(
% 0.20/0.27 ~spl2_3),
% 0.20/0.27 inference(avatar_contradiction_clause,[],[f78])).
% 0.20/0.27 tff(f80,plain,(
% 0.20/0.27 ( ! [X0 : $o] : (~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),X0) | ($false = X0)) ) | spl2_4),
% 0.20/0.27 inference(superposition,[],[f41,f23])).
% 0.20/0.27 tff(f84,plain,(
% 0.20/0.27 ( ! [X0 : $i] : ((bG0(X0) = $false)) ) | spl2_4),
% 0.20/0.27 inference(resolution,[],[f80,f20])).
% 0.20/0.27 tff(f88,plain,(
% 0.20/0.27 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) | spl2_4),
% 0.20/0.27 inference(superposition,[],[f20,f84])).
% 0.20/0.27 tff(f106,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (($true = $false) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) ) | spl2_4),
% 0.20/0.27 inference(forward_demodulation,[],[f17,f84])).
% 0.20/0.27 tff(f107,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) ) | spl2_4),
% 0.20/0.27 inference(trivial_inequality_removal,[],[f106])).
% 0.20/0.27 tff(f118,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (($true != $true) | likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) | (bG1(X0) = $false)) )),
% 0.20/0.27 inference(superposition,[],[f15,f23])).
% 0.20/0.27 tff(f119,plain,(
% 0.20/0.27 ( ! [X0 : $i] : (likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) | (bG1(X0) = $false)) )),
% 0.20/0.27 inference(trivial_inequality_removal,[],[f118])).
% 0.20/0.27 tff(f130,plain,(
% 0.20/0.27 ($false = bG1(lSue_THFTYPE_i)) | spl2_4),
% 0.20/0.27 inference(resolution,[],[f119,f107])).
% 0.20/0.27 tff(f133,plain,(
% 0.20/0.27 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) | spl2_4),
% 0.20/0.27 inference(superposition,[],[f21,f130])).
% 0.20/0.27 tff(f135,plain,(
% 0.20/0.27 $false | spl2_4),
% 0.20/0.27 inference(forward_subsumption_resolution,[],[f133,f88])).
% 0.20/0.27 tff(f136,plain,(
% 0.20/0.27 spl2_4),
% 0.20/0.27 inference(avatar_contradiction_clause,[],[f135])).
% 0.20/0.27 cnf(s22, plain, spl2_3 | ~spl2_4, inference(sat_conversion,[],[f42])).
% 0.20/0.27 cnf(s47, plain, ~spl2_3, inference(sat_conversion,[],[f79])).
% 0.20/0.27 cnf(s91, plain, spl2_4, inference(sat_conversion,[],[f136])).
% 0.20/0.27 cnf(s92, plain, $false, inference(rat,[],[s22,s91,s47])).
% 0.20/0.27 tff(f137,plain,(
% 0.20/0.27 $false),
% 0.20/0.27 inference(avatar_sat_refutation,[],[s92])).
% 0.20/0.27 % SZS output end Proof for theBenchmark
% 0.20/0.27 % (679789)------------------------------
% 0.20/0.27 % (679789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (679789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (679789)CaDiCaL version: 2.1.3
% 0.20/0.27 % (679789)Termination reason: Refutation
% 0.20/0.27 % (679789)Time elapsed: 0.003 s
% 0.20/0.27 % (679789)Peak memory usage: 12 MB
% 0.20/0.27 % (679789)Instructions burned: 4 (million)
% 0.20/0.27 % (679782)Success in time 0.034 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------