%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR120_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 : n015.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 09:45:56 AM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR120_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n015.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 : Mon Sep 28 23:37:47 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.27 % (3140255)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (3140265)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3206197304:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.27 % (3140265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3140255-3140265"...
% 0.21/0.27 % (3140265)...printing done.
% 0.21/0.27 % (3140261)% WARNING: option uhcvi not known.
% 0.21/0.27 % (3140265)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% 0.21/0.27 tff(type_def_5, type, num: $tType).
% 0.21/0.27 tff(func_def_5, type, bG0: $o).
% 0.21/0.27 tff(func_def_8, type, bG1: $i > $o).
% 0.21/0.27 tff(pred_def_1, type, holdsDuring_THFTYPE_IiooI: ($i * $o) > $o).
% 0.21/0.27 tff(f1,axiom,(
% 0.21/0.27 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)))),
% 0.21/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.21/0.27 tff(f2,conjecture,(
% 0.21/0.27 ? [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i))),
% 0.21/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.21/0.27 tff(f3,negated_conjecture,(
% 0.21/0.27 ~ ? [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i))),
% 0.21/0.27 inference(negated_conjecture,[status(cth)],[f2])).
% 0.21/0.27 tff(f4,definition,(
% 0.21/0.27 ~(~likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)) <=> (bG0 = $true)),
% 0.21/0.27 introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition])).
% 0.21/0.27 tff(f5,plain,(
% 0.21/0.27 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0)),
% 0.21/0.27 inference(fool_elimination,[],[f1,f4])).
% 0.21/0.27 tff(f6,definition,(
% 0.21/0.27 ! [X0 : $i] : (likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) <=> ($true = bG1(X0)))),
% 0.21/0.27 introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition])).
% 0.21/0.27 tff(f7,plain,(
% 0.21/0.27 ~ ? [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))),
% 0.21/0.27 inference(fool_elimination,[],[f3,f6])).
% 0.21/0.27 tff(f8,plain,(
% 0.21/0.27 (likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) & likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)) <=> (bG0 = $true)),
% 0.21/0.27 inference(ennf_transformation,[],[f4])).
% 0.21/0.27 tff(f9,plain,(
% 0.21/0.27 ! [X0 : $i] : ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))),
% 0.21/0.27 inference(ennf_transformation,[],[f7])).
% 0.21/0.27 tff(f10,plain,(
% 0.21/0.27 ! [X0 : $i] : ((likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) | ($true != bG1(X0))) & (($true = bG1(X0)) | ~likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)))),
% 0.21/0.27 inference(nnf_transformation,[],[f6])).
% 0.21/0.27 tff(f11,plain,(
% 0.21/0.27 ((likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) & likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)) | (bG0 != $true)) & ((bG0 = $true) | (~likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)))),
% 0.21/0.27 inference(nnf_transformation,[],[f8])).
% 0.21/0.27 tff(f12,plain,(
% 0.21/0.27 ((likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) & likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)) | (bG0 != $true)) & ((bG0 = $true) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i))),
% 0.21/0.27 inference(flattening,[],[f11])).
% 0.21/0.27 tff(f13,plain,(
% 0.21/0.27 ( ! [X0 : $i] : (~likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) | ($true = bG1(X0))) )),
% 0.21/0.27 inference(cnf_transformation,[],[f10])).
% 0.21/0.27 tff(f14,plain,(
% 0.21/0.27 ( ! [X0 : $i] : (($true != bG1(X0)) | likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)) )),
% 0.21/0.27 inference(cnf_transformation,[],[f10])).
% 0.21/0.27 tff(f15,plain,(
% 0.21/0.27 (bG0 = $true) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
% 0.21/0.27 inference(cnf_transformation,[],[f12])).
% 0.21/0.27 tff(f16,plain,(
% 0.21/0.27 likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) | (bG0 != $true)),
% 0.21/0.27 inference(cnf_transformation,[],[f12])).
% 0.21/0.27 tff(f18,plain,(
% 0.21/0.27 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0)),
% 0.21/0.27 inference(cnf_transformation,[],[f5])).
% 0.21/0.27 tff(f19,plain,(
% 0.21/0.27 ( ! [X0 : $i] : (~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))) )),
% 0.21/0.27 inference(cnf_transformation,[],[f9])).
% 0.21/0.27 tff(f20,definition,(
% 0.21/0.27 ($true != $false)),
% 0.21/0.27 introduced(theory,[fool_distinctness_axiom])).
% 0.21/0.27 tff(f21,definition,(
% 0.21/0.27 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.21/0.27 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.21/0.27 tff(f23,definition,(
% 0.21/0.27 spl2_1 <=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
% 0.21/0.27 introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition])).
% 0.21/0.27 tff(f24,plain,(
% 0.21/0.27 likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) | ~spl2_1),
% 0.21/0.27 inference(avatar_component_clause,[],[f23])).
% 0.21/0.27 tff(f25,plain,(
% 0.21/0.27 ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) | spl2_1),
% 0.21/0.27 inference(avatar_component_clause,[],[f23])).
% 0.21/0.27 tff(f27,definition,(
% 0.21/0.27 spl2_2 <=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)),
% 0.21/0.27 introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition])).
% 0.21/0.27 tff(f29,plain,(
% 0.21/0.27 ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | spl2_2),
% 0.21/0.27 inference(avatar_component_clause,[],[f27])).
% 0.21/0.27 tff(f31,definition,(
% 0.21/0.27 spl2_3 <=> (bG0 = $true)),
% 0.21/0.27 introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition])).
% 0.21/0.27 tff(f32,plain,(
% 0.21/0.27 (bG0 != $true) | spl2_3),
% 0.21/0.27 inference(avatar_component_clause,[],[f31])).
% 0.21/0.27 tff(f33,plain,(
% 0.21/0.27 (bG0 = $true) | ~spl2_3),
% 0.21/0.27 inference(avatar_component_clause,[],[f31])).
% 0.21/0.27 tff(f34,plain,(
% 0.21/0.27 ~spl2_1 | ~spl2_2 | spl2_3),
% 0.21/0.27 inference(avatar_split_clause,[],[f15,f31,f27,f23])).
% 0.21/0.27 tff(f35,plain,(
% 0.21/0.27 ~spl2_3 | spl2_1),
% 0.21/0.27 inference(avatar_split_clause,[],[f16,f23,f31])).
% 0.21/0.27 tff(f37,plain,(
% 0.21/0.27 ( ! [X0 : $o,X1 : $o] : ((X0 = X1) | ($false = X1) | ($false = X0)) )),
% 0.21/0.27 inference(superposition,[],[f21,f21])).
% 0.21/0.27 tff(f41,plain,(
% 0.21/0.27 ($true != $true) | (bG0 = $false) | spl2_3),
% 0.21/0.27 inference(superposition,[],[f32,f21])).
% 0.21/0.27 tff(f43,plain,(
% 0.21/0.27 (bG0 = $false) | spl2_3),
% 0.21/0.27 inference(trivial_inequality_removal,[],[f41])).
% 0.21/0.27 tff(f48,definition,(
% 0.21/0.27 spl2_5 <=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)),
% 0.21/0.27 introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition])).
% 0.21/0.27 tff(f49,plain,(
% 0.21/0.27 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) | ~spl2_5),
% 0.21/0.27 inference(avatar_component_clause,[],[f48])).
% 0.21/0.27 tff(f50,plain,(
% 0.21/0.27 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) | spl2_5),
% 0.21/0.27 inference(avatar_component_clause,[],[f48])).
% 0.21/0.27 tff(f54,plain,(
% 0.21/0.27 ( ! [X0 : $i] : (($true != $true) | likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) | (bG1(X0) = $false)) )),
% 0.21/0.27 inference(superposition,[],[f14,f21])).
% 0.21/0.27 tff(f55,plain,(
% 0.21/0.27 ( ! [X0 : $i] : (likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) | (bG1(X0) = $false)) )),
% 0.21/0.27 inference(trivial_inequality_removal,[],[f54])).
% 0.21/0.27 tff(f57,plain,(
% 0.21/0.27 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) | spl2_3),
% 0.21/0.27 inference(superposition,[],[f18,f43])).
% 0.21/0.27 tff(f60,plain,(
% 0.21/0.27 ($false = bG1(lSue_THFTYPE_i)) | spl2_1),
% 0.21/0.27 inference(resolution,[],[f55,f25])).
% 0.21/0.27 tff(f98,plain,(
% 0.21/0.27 ( ! [X0 : $i,X1 : $o] : (~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) | (bG1(X0) = X1) | ($false = X1)) )),
% 0.21/0.27 inference(superposition,[],[f19,f37])).
% 0.21/0.27 tff(f121,plain,(
% 0.21/0.27 ( ! [X0 : $i,X1 : $o] : ((bG1(X0) = X1) | ($false = X1)) ) | spl2_3),
% 0.21/0.27 inference(forward_subsumption_resolution,[],[f98,f57])).
% 0.21/0.27 tff(f130,plain,(
% 0.21/0.27 ( ! [X0 : $o,X1 : $i] : (($true != X0) | likes_THFTYPE_IiioI(X1,lBill_THFTYPE_i) | ($false = X0)) ) | spl2_3),
% 0.21/0.27 inference(superposition,[],[f14,f121])).
% 0.21/0.27 tff(f141,definition,(
% 0.21/0.27 spl2_6 <=> ! [X0 : $o] : ($false = X0)),
% 0.21/0.27 introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition])).
% 0.21/0.27 tff(f142,plain,(
% 0.21/0.27 ( ! [X0 : $o] : (($false = X0)) ) | ~spl2_6),
% 0.21/0.27 inference(avatar_component_clause,[],[f141])).
% 0.21/0.27 tff(f147,plain,(
% 0.21/0.27 ( ! [X0 : $o,X1 : $i] : (likes_THFTYPE_IiioI(X1,lBill_THFTYPE_i) | ($false = X0)) ) | spl2_3),
% 0.21/0.27 inference(forward_subsumption_resolution,[],[f130,f21])).
% 0.21/0.27 tff(f149,definition,(
% 0.21/0.27 spl2_8 <=> ! [X1 : $i] : likes_THFTYPE_IiioI(X1,lBill_THFTYPE_i)),
% 0.21/0.27 introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition])).
% 0.21/0.27 tff(f150,plain,(
% 0.21/0.27 ( ! [X1 : $i] : (likes_THFTYPE_IiioI(X1,lBill_THFTYPE_i)) ) | ~spl2_8),
% 0.21/0.27 inference(avatar_component_clause,[],[f149])).
% 0.21/0.27 tff(f151,plain,(
% 0.21/0.27 spl2_6 | spl2_8 | spl2_3),
% 0.21/0.27 inference(avatar_split_clause,[],[f147,f31,f149,f141])).
% 0.21/0.27 tff(f159,plain,(
% 0.21/0.27 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) | spl2_1),
% 0.21/0.27 inference(superposition,[],[f19,f60])).
% 0.21/0.27 tff(f165,plain,(
% 0.21/0.27 $false | (spl2_1 | spl2_3)),
% 0.21/0.27 inference(forward_subsumption_resolution,[],[f159,f57])).
% 0.21/0.27 tff(f166,plain,(
% 0.21/0.27 spl2_1 | spl2_3),
% 0.21/0.27 inference(avatar_contradiction_clause,[],[f165])).
% 0.21/0.27 tff(f177,plain,(
% 0.21/0.27 ($false != $false) | ~spl2_6),
% 0.21/0.27 inference(superposition,[],[f20,f142])).
% 0.21/0.27 tff(f182,plain,(
% 0.21/0.27 $false | ~spl2_6),
% 0.21/0.27 inference(trivial_inequality_removal,[],[f177])).
% 0.21/0.27 tff(f183,plain,(
% 0.21/0.27 ~spl2_6),
% 0.21/0.27 inference(avatar_contradiction_clause,[],[f182])).
% 0.21/0.27 tff(f189,plain,(
% 0.21/0.27 ($true = bG1(lSue_THFTYPE_i)) | ~spl2_1),
% 0.21/0.27 inference(resolution,[],[f24,f13])).
% 0.21/0.27 tff(f191,plain,(
% 0.21/0.27 $false | (spl2_2 | ~spl2_8)),
% 0.21/0.27 inference(resolution,[],[f29,f150])).
% 0.21/0.27 tff(f193,plain,(
% 0.21/0.27 spl2_2 | ~spl2_8),
% 0.21/0.27 inference(avatar_contradiction_clause,[],[f191])).
% 0.21/0.27 tff(f214,plain,(
% 0.21/0.27 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) | ~spl2_3),
% 0.21/0.27 inference(superposition,[],[f18,f33])).
% 0.21/0.27 tff(f221,plain,(
% 0.21/0.27 $false | (~spl2_3 | spl2_5)),
% 0.21/0.27 inference(forward_subsumption_resolution,[],[f214,f50])).
% 0.21/0.27 tff(f222,plain,(
% 0.21/0.27 ~spl2_3 | spl2_5),
% 0.21/0.27 inference(avatar_contradiction_clause,[],[f221])).
% 0.21/0.27 tff(f260,plain,(
% 0.21/0.27 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) | ~spl2_1),
% 0.21/0.27 inference(superposition,[],[f19,f189])).
% 0.21/0.27 tff(f268,plain,(
% 0.21/0.27 $false | (~spl2_1 | ~spl2_5)),
% 0.21/0.27 inference(forward_subsumption_resolution,[],[f260,f49])).
% 0.21/0.27 tff(f269,plain,(
% 0.21/0.27 ~spl2_1 | ~spl2_5),
% 0.21/0.27 inference(avatar_contradiction_clause,[],[f268])).
% 0.21/0.27 cnf(s1, plain, ~spl2_1 | ~spl2_2 | spl2_3, inference(sat_conversion,[],[f34])).
% 0.21/0.27 cnf(s2, plain, spl2_1 | ~spl2_3, inference(sat_conversion,[],[f35])).
% 0.21/0.27 cnf(s6, plain, spl2_3 | spl2_6 | spl2_8, inference(sat_conversion,[],[f151])).
% 0.21/0.27 cnf(s7, plain, spl2_1 | spl2_3, inference(sat_conversion,[],[f166])).
% 0.21/0.27 cnf(s8, plain, ~spl2_6, inference(sat_conversion,[],[f183])).
% 0.21/0.27 cnf(s11, plain, spl2_2 | ~spl2_8, inference(sat_conversion,[],[f193])).
% 0.21/0.27 cnf(s15, plain, ~spl2_3 | spl2_5, inference(sat_conversion,[],[f222])).
% 0.21/0.27 cnf(s21, plain, ~spl2_1 | ~spl2_5, inference(sat_conversion,[],[f269])).
% 0.21/0.27 cnf(s22, plain, spl2_3 | spl2_8, inference(rat,[],[s6,s8])).
% 0.21/0.27 cnf(s24, plain, spl2_1, inference(rat,[],[s2,s7])).
% 0.21/0.27 cnf(s25, plain, ~spl2_5, inference(rat,[],[s21,s24])).
% 0.21/0.27 cnf(s27, plain, ~spl2_3, inference(rat,[],[s15,s25])).
% 0.21/0.27 cnf(s28, plain, spl2_8, inference(rat,[],[s22,s27])).
% 0.21/0.27 cnf(s30, plain, ~spl2_2, inference(rat,[],[s1,s24,s27])).
% 0.21/0.27 cnf(s31, plain, $false, inference(rat,[],[s11,s28,s30])).
% 0.21/0.27 tff(f272,plain,(
% 0.21/0.27 $false),
% 0.21/0.27 inference(avatar_sat_refutation,[],[s31])).
% 0.21/0.27 % SZS output end Proof for theBenchmark
% 0.21/0.27 % (3140265)------------------------------
% 0.21/0.27 % (3140265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (3140265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (3140265)CaDiCaL version: 2.1.3
% 0.21/0.27 % (3140265)Termination reason: Refutation
% 0.21/0.27 % (3140265)Time elapsed: 0.003 s
% 0.21/0.27 % (3140265)Peak memory usage: 12 MB
% 0.21/0.27 % (3140265)Instructions burned: 7 (million)
% 0.21/0.27 % (3140255)Success in time 0.026 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------