%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR121_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 : n014.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 09:45:57 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR121_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n014.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 23:34:31 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
% 0.09/0.25 % (2284911)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (2284922)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2916421342:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (2284922) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2284911-2284922"...
% 0.09/0.25 % (2284922)...printing done.
% 0.09/0.25 % (2284922)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% 0.09/0.25 tff(type_def_5, type, num: $tType).
% 0.09/0.25 tff(func_def_5, type, bG0: $o).
% 0.09/0.25 tff(func_def_8, type, bG1: $i > $o).
% 0.09/0.25 tff(pred_def_1, type, holdsDuring_THFTYPE_IiooI: ($i * $o) > $o).
% 0.09/0.25 tff(f1,axiom,(
% 0.09/0.25 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)))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.09/0.25 tff(f2,conjecture,(
% 0.09/0.25 ? [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))),
% 0.09/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.09/0.25 tff(f3,negated_conjecture,(
% 0.09/0.25 ~ ? [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))),
% 0.09/0.25 inference(negated_conjecture,[status(cth)],[f2])).
% 0.09/0.25 tff(f4,definition,(
% 0.09/0.25 ~(~likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)) <=> (bG0 = $true)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition])).
% 0.09/0.25 tff(f5,plain,(
% 0.09/0.25 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0)),
% 0.09/0.25 inference(fool_elimination,[],[f1,f4])).
% 0.09/0.25 tff(f6,definition,(
% 0.09/0.25 ! [X0 : $i] : ((likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) & likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) <=> ($true = bG1(X0)))),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition])).
% 0.09/0.25 tff(f7,plain,(
% 0.09/0.25 ~ ? [X0 : $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))),
% 0.09/0.25 inference(fool_elimination,[],[f3,f6])).
% 0.09/0.25 tff(f8,plain,(
% 0.09/0.25 (likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) & likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)) <=> (bG0 = $true)),
% 0.09/0.25 inference(ennf_transformation,[],[f4])).
% 0.09/0.25 tff(f9,plain,(
% 0.09/0.25 ! [X0 : $i] : ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))),
% 0.09/0.25 inference(ennf_transformation,[],[f7])).
% 0.09/0.25 tff(f10,plain,(
% 0.09/0.25 ! [X0 : $i] : (((likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) & likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) | ($true != bG1(X0))) & (($true = bG1(X0)) | (~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0))))),
% 0.09/0.25 inference(nnf_transformation,[],[f6])).
% 0.09/0.25 tff(f11,plain,(
% 0.09/0.25 ! [X0 : $i] : (((likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) & likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) | ($true != bG1(X0))) & (($true = bG1(X0)) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)))),
% 0.09/0.25 inference(flattening,[],[f10])).
% 0.09/0.25 tff(f12,plain,(
% 0.09/0.25 ((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)))),
% 0.09/0.25 inference(nnf_transformation,[],[f8])).
% 0.09/0.25 tff(f13,plain,(
% 0.09/0.25 ((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))),
% 0.09/0.25 inference(flattening,[],[f12])).
% 0.09/0.25 tff(f14,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (($true = bG1(X0)) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) )),
% 0.09/0.25 inference(cnf_transformation,[],[f11])).
% 0.09/0.25 tff(f15,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | ($true != bG1(X0))) )),
% 0.09/0.25 inference(cnf_transformation,[],[f11])).
% 0.09/0.25 tff(f16,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) | ($true != bG1(X0))) )),
% 0.09/0.25 inference(cnf_transformation,[],[f11])).
% 0.09/0.25 tff(f17,plain,(
% 0.09/0.25 (bG0 = $true) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
% 0.09/0.25 inference(cnf_transformation,[],[f13])).
% 0.09/0.25 tff(f18,plain,(
% 0.09/0.25 likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) | (bG0 != $true)),
% 0.09/0.25 inference(cnf_transformation,[],[f13])).
% 0.09/0.25 tff(f19,plain,(
% 0.09/0.25 likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | (bG0 != $true)),
% 0.09/0.25 inference(cnf_transformation,[],[f13])).
% 0.09/0.25 tff(f20,plain,(
% 0.09/0.25 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0)),
% 0.09/0.25 inference(cnf_transformation,[],[f5])).
% 0.09/0.25 tff(f21,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))) )),
% 0.09/0.25 inference(cnf_transformation,[],[f9])).
% 0.09/0.25 tff(f23,definition,(
% 0.09/0.25 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.09/0.25 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.09/0.25 tff(f24,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (($true != bG1(X0)) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)) )),
% 0.09/0.25 inference(consistent_polarity_flipping,[],[f16])).
% 0.09/0.25 tff(f25,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (($true != bG1(X0)) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)) )),
% 0.09/0.25 inference(consistent_polarity_flipping,[],[f15])).
% 0.09/0.25 tff(f26,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) | ($true = bG1(X0))) )),
% 0.09/0.25 inference(consistent_polarity_flipping,[],[f14])).
% 0.09/0.25 tff(f27,plain,(
% 0.09/0.25 ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | (bG0 != $true)),
% 0.09/0.25 inference(consistent_polarity_flipping,[],[f19])).
% 0.09/0.25 tff(f28,plain,(
% 0.09/0.25 ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) | (bG0 != $true)),
% 0.09/0.25 inference(consistent_polarity_flipping,[],[f18])).
% 0.09/0.25 tff(f29,plain,(
% 0.09/0.25 (bG0 = $true) | likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
% 0.09/0.25 inference(consistent_polarity_flipping,[],[f17])).
% 0.09/0.25 tff(f30,plain,(
% 0.09/0.25 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0)),
% 0.09/0.25 inference(consistent_polarity_flipping,[],[f20])).
% 0.09/0.25 tff(f31,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0))) )),
% 0.09/0.25 inference(consistent_polarity_flipping,[],[f21])).
% 0.09/0.25 tff(f33,definition,(
% 0.09/0.25 spl2_1 <=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition])).
% 0.09/0.25 tff(f34,plain,(
% 0.09/0.25 ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) | spl2_1),
% 0.09/0.25 inference(avatar_component_clause,[],[f33])).
% 0.09/0.25 tff(f35,plain,(
% 0.09/0.25 likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) | ~spl2_1),
% 0.09/0.25 inference(avatar_component_clause,[],[f33])).
% 0.09/0.25 tff(f37,definition,(
% 0.09/0.25 spl2_2 <=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition])).
% 0.09/0.25 tff(f39,plain,(
% 0.09/0.25 likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | ~spl2_2),
% 0.09/0.25 inference(avatar_component_clause,[],[f37])).
% 0.09/0.25 tff(f41,definition,(
% 0.09/0.25 spl2_3 <=> (bG0 = $true)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition])).
% 0.09/0.25 tff(f42,plain,(
% 0.09/0.25 (bG0 != $true) | spl2_3),
% 0.09/0.25 inference(avatar_component_clause,[],[f41])).
% 0.09/0.25 tff(f43,plain,(
% 0.09/0.25 (bG0 = $true) | ~spl2_3),
% 0.09/0.25 inference(avatar_component_clause,[],[f41])).
% 0.09/0.25 tff(f44,plain,(
% 0.09/0.25 spl2_1 | spl2_2 | spl2_3),
% 0.09/0.25 inference(avatar_split_clause,[],[f29,f41,f37,f33])).
% 0.09/0.25 tff(f45,plain,(
% 0.09/0.25 ~spl2_3 | ~spl2_1),
% 0.09/0.25 inference(avatar_split_clause,[],[f28,f33,f41])).
% 0.09/0.25 tff(f46,plain,(
% 0.09/0.25 ~spl2_3 | ~spl2_2),
% 0.09/0.25 inference(avatar_split_clause,[],[f27,f37,f41])).
% 0.09/0.25 tff(f50,plain,(
% 0.09/0.25 ($true != $true) | (bG0 = $false) | spl2_3),
% 0.09/0.25 inference(superposition,[],[f42,f23])).
% 0.09/0.25 tff(f53,plain,(
% 0.09/0.25 (bG0 = $false) | spl2_3),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f50])).
% 0.09/0.25 tff(f55,definition,(
% 0.09/0.25 spl2_4 <=> (bG0 = $false)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition])).
% 0.09/0.25 tff(f57,plain,(
% 0.09/0.25 (bG0 = $false) | ~spl2_4),
% 0.09/0.25 inference(avatar_component_clause,[],[f55])).
% 0.09/0.25 tff(f59,definition,(
% 0.09/0.25 spl2_5 <=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition])).
% 0.09/0.25 tff(f63,plain,(
% 0.09/0.25 spl2_4 | spl2_3),
% 0.09/0.25 inference(avatar_split_clause,[],[f53,f41,f55])).
% 0.09/0.25 tff(f70,plain,(
% 0.09/0.25 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) | ~spl2_4),
% 0.09/0.25 inference(superposition,[],[f30,f57])).
% 0.09/0.25 tff(f73,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (($true != $true) | ~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) | (bG1(X0) = $false)) )),
% 0.09/0.25 inference(superposition,[],[f24,f23])).
% 0.09/0.25 tff(f74,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (~likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) | (bG1(X0) = $false)) )),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f73])).
% 0.09/0.25 tff(f75,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (($true != $true) | ~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | (bG1(X0) = $false)) )),
% 0.09/0.25 inference(superposition,[],[f25,f23])).
% 0.09/0.25 tff(f76,plain,(
% 0.09/0.25 ( ! [X0 : $i] : (~likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) | (bG1(X0) = $false)) )),
% 0.09/0.25 inference(trivial_inequality_removal,[],[f75])).
% 0.09/0.25 tff(f77,plain,(
% 0.09/0.25 ($false = bG1(lBill_THFTYPE_i)) | ~spl2_2),
% 0.09/0.25 inference(resolution,[],[f74,f39])).
% 0.09/0.25 tff(f81,plain,(
% 0.09/0.25 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) | ~spl2_2),
% 0.09/0.25 inference(superposition,[],[f31,f77])).
% 0.09/0.25 tff(f83,plain,(
% 0.09/0.25 $false | (~spl2_2 | ~spl2_4)),
% 0.09/0.25 inference(resolution,[],[f81,f70])).
% 0.09/0.25 tff(f84,plain,(
% 0.09/0.25 ~spl2_2 | ~spl2_4),
% 0.09/0.25 inference(avatar_contradiction_clause,[],[f83])).
% 0.09/0.25 tff(f85,plain,(
% 0.09/0.25 ($false = bG1(lBill_THFTYPE_i)) | ~spl2_1),
% 0.09/0.25 inference(resolution,[],[f76,f35])).
% 0.09/0.25 tff(f90,plain,(
% 0.09/0.25 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) | ~spl2_1),
% 0.09/0.25 inference(superposition,[],[f31,f85])).
% 0.09/0.25 tff(f92,plain,(
% 0.09/0.25 $false | (~spl2_1 | ~spl2_4)),
% 0.09/0.25 inference(resolution,[],[f90,f70])).
% 0.09/0.25 tff(f93,plain,(
% 0.09/0.25 ~spl2_1 | ~spl2_4),
% 0.09/0.25 inference(avatar_contradiction_clause,[],[f92])).
% 0.09/0.25 tff(f94,plain,(
% 0.09/0.25 likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) | ($true = bG1(lBill_THFTYPE_i)) | spl2_1),
% 0.09/0.25 inference(resolution,[],[f34,f26])).
% 0.09/0.25 tff(f96,definition,(
% 0.09/0.25 spl2_7 <=> ($true = bG1(lBill_THFTYPE_i))),
% 0.09/0.25 introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition])).
% 0.09/0.25 tff(f98,plain,(
% 0.09/0.25 ($true = bG1(lBill_THFTYPE_i)) | ~spl2_7),
% 0.09/0.25 inference(avatar_component_clause,[],[f96])).
% 0.09/0.25 tff(f99,plain,(
% 0.09/0.25 spl2_7 | spl2_2 | spl2_1),
% 0.09/0.25 inference(avatar_split_clause,[],[f94,f33,f37,f96])).
% 0.09/0.25 tff(f102,plain,(
% 0.09/0.25 ~holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) | ~spl2_3),
% 0.09/0.25 inference(superposition,[],[f30,f43])).
% 0.09/0.25 tff(f107,plain,(
% 0.09/0.25 ~spl2_5 | ~spl2_3),
% 0.09/0.25 inference(avatar_split_clause,[],[f102,f41,f59])).
% 0.09/0.25 tff(f120,plain,(
% 0.09/0.25 holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) | ~spl2_7),
% 0.09/0.25 inference(superposition,[],[f31,f98])).
% 0.09/0.25 tff(f127,plain,(
% 0.09/0.25 spl2_5 | ~spl2_7),
% 0.09/0.25 inference(avatar_split_clause,[],[f120,f96,f59])).
% 0.09/0.25 cnf(s1, plain, spl2_1 | spl2_2 | spl2_3, inference(sat_conversion,[],[f44])).
% 0.09/0.25 cnf(s2, plain, ~spl2_1 | ~spl2_3, inference(sat_conversion,[],[f45])).
% 0.09/0.25 cnf(s3, plain, ~spl2_2 | ~spl2_3, inference(sat_conversion,[],[f46])).
% 0.09/0.25 cnf(s5, plain, spl2_3 | spl2_4, inference(sat_conversion,[],[f63])).
% 0.09/0.25 cnf(s7, plain, ~spl2_2 | ~spl2_4, inference(sat_conversion,[],[f84])).
% 0.09/0.25 cnf(s8, plain, ~spl2_1 | ~spl2_4, inference(sat_conversion,[],[f93])).
% 0.09/0.25 cnf(s9, plain, spl2_1 | spl2_2 | spl2_7, inference(sat_conversion,[],[f99])).
% 0.09/0.25 cnf(s12, plain, ~spl2_3 | ~spl2_5, inference(sat_conversion,[],[f107])).
% 0.09/0.25 cnf(s15, plain, spl2_5 | ~spl2_7, inference(sat_conversion,[],[f127])).
% 0.09/0.25 cnf(s16, plain, spl2_2 | spl2_1, inference(rat,[],[s12,s15,s1,s9])).
% 0.09/0.25 cnf(s17, plain, ~spl2_2, inference(rat,[],[s5,s3,s7])).
% 0.09/0.25 cnf(s18, plain, spl2_1, inference(rat,[],[s16,s17])).
% 0.09/0.25 cnf(s19, plain, ~spl2_4, inference(rat,[],[s8,s18])).
% 0.09/0.25 cnf(s20, plain, ~spl2_3, inference(rat,[],[s2,s18])).
% 0.09/0.25 cnf(s22, plain, $false, inference(rat,[],[s5,s19,s20])).
% 0.09/0.25 tff(f128,plain,(
% 0.09/0.25 $false),
% 0.09/0.25 inference(avatar_sat_refutation,[],[s22])).
% 0.09/0.25 % SZS output end Proof for theBenchmark
% 0.09/0.25 % (2284922)------------------------------
% 0.09/0.25 % (2284922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (2284922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (2284922)CaDiCaL version: 2.1.3
% 0.09/0.25 % (2284922)Termination reason: Refutation
% 0.09/0.25 % (2284922)Time elapsed: 0.002 s
% 0.09/0.25 % (2284922)Peak memory usage: 13 MB
% 0.09/0.25 % (2284922)Instructions burned: 3 (million)
% 0.09/0.25 % (2284911)Success in time 0.029 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------