%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO091^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 : Wed Sep 30 08:48:56 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 : SYO091^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n014.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:33:15 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.27 % (2889111)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2889118)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=489013193:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (2889118) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2889111-2889118"...
% 0.19/0.27 % (2889117)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2889118)...printing done.
% 0.19/0.27 % (2889118)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 tff(func_def_2, type, sK0: $o).
% 0.19/0.27 tff(func_def_3, type, sK1: $o).
% 0.19/0.27 tff(func_def_4, type, sK2: $o).
% 0.19/0.27 tff(f1,conjecture,(
% 0.19/0.27 ! [X0 : $o,X1 : $o,X2 : $o] : (((X0 <=> X1) <=> X2) <=> (X0 <=> (X1 <=> X2)))),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM50Q)).
% 0.19/0.27 tff(f2,negated_conjecture,(
% 0.19/0.27 ~ ! [X0 : $o,X1 : $o,X2 : $o] : (((X0 <=> X1) <=> X2) <=> (X0 <=> (X1 <=> X2)))),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.27 tff(f3,plain,(
% 0.19/0.27 ~ ! [X0 : $o,X1 : $o,X2 : $o] : (((X0 <=> X1) <=> X2) <=> (X0 <=> (X1 <=> X2)))),
% 0.19/0.27 inference(rectify,[],[f2])).
% 0.19/0.27 tff(f4,plain,(
% 0.19/0.27 ~ ! [X0 : $o,X1 : $o,X2 : $o] : (((X0 = X1) <=> ($true = X2)) <=> (($true = X0) <=> (X1 = X2)))),
% 0.19/0.27 inference(fool_elimination,[],[f3])).
% 0.19/0.27 tff(f5,plain,(
% 0.19/0.27 ? [X0 : $o,X1 : $o,X2 : $o] : (((X0 = X1) <=> ($true = X2)) <~> (($true = X0) <=> (X1 = X2)))),
% 0.19/0.27 inference(ennf_transformation,[],[f4])).
% 0.19/0.27 tff(f6,plain,(
% 0.19/0.27 ? [X0 : $o,X1 : $o,X2 : $o] : (((((X1 != X2) | ($true != X0)) & ((X1 = X2) | ($true = X0))) | ((($true != X2) | (X0 != X1)) & (($true = X2) | (X0 = X1)))) & (((($true = X0) | (X1 != X2)) & ((X1 = X2) | ($true != X0))) | (((X0 = X1) | ($true != X2)) & (($true = X2) | (X0 != X1)))))),
% 0.19/0.27 inference(nnf_transformation,[],[f5])).
% 0.19/0.27 tff(f7,plain,(
% 0.19/0.27 ((((sK1 != sK2) | ($true != sK0)) & ((sK1 = sK2) | ($true = sK0))) | ((($true != sK2) | (sK0 != sK1)) & (($true = sK2) | (sK0 = sK1)))) & (((($true = sK0) | (sK1 != sK2)) & ((sK1 = sK2) | ($true != sK0))) | (((sK0 = sK1) | ($true != sK2)) & (($true = sK2) | (sK0 != sK1))))),
% 0.19/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6])).
% 0.19/0.27 tff(f8,plain,(
% 0.19/0.27 (sK1 = sK2) | ($true != sK0) | ($true = sK2) | (sK0 != sK1)),
% 0.19/0.27 inference(cnf_transformation,[],[f7])).
% 0.19/0.27 tff(f9,plain,(
% 0.19/0.27 (sK1 = sK2) | ($true != sK0) | (sK0 = sK1) | ($true != sK2)),
% 0.19/0.27 inference(cnf_transformation,[],[f7])).
% 0.19/0.27 tff(f10,plain,(
% 0.19/0.27 ($true = sK0) | (sK1 != sK2) | ($true = sK2) | (sK0 != sK1)),
% 0.19/0.27 inference(cnf_transformation,[],[f7])).
% 0.19/0.27 tff(f11,plain,(
% 0.19/0.27 ($true = sK0) | (sK1 != sK2) | (sK0 = sK1) | ($true != sK2)),
% 0.19/0.27 inference(cnf_transformation,[],[f7])).
% 0.19/0.27 tff(f12,plain,(
% 0.19/0.27 (sK1 = sK2) | ($true = sK0) | ($true = sK2) | (sK0 = sK1)),
% 0.19/0.27 inference(cnf_transformation,[],[f7])).
% 0.19/0.27 tff(f13,plain,(
% 0.19/0.27 (sK1 = sK2) | ($true = sK0) | ($true != sK2) | (sK0 != sK1)),
% 0.19/0.27 inference(cnf_transformation,[],[f7])).
% 0.19/0.27 tff(f14,plain,(
% 0.19/0.27 (sK1 != sK2) | ($true != sK0) | ($true = sK2) | (sK0 = sK1)),
% 0.19/0.27 inference(cnf_transformation,[],[f7])).
% 0.19/0.27 tff(f15,plain,(
% 0.19/0.27 (sK1 != sK2) | ($true != sK0) | ($true != sK2) | (sK0 != sK1)),
% 0.19/0.27 inference(cnf_transformation,[],[f7])).
% 0.19/0.27 tff(f17,definition,(
% 0.19/0.27 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.19/0.27 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.19/0.27 tff(f19,definition,(
% 0.19/0.27 spl3_1 <=> (sK0 = sK1)),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
% 0.19/0.27 tff(f20,plain,(
% 0.19/0.27 (sK0 = sK1) | ~spl3_1),
% 0.19/0.27 inference(avatar_component_clause,[],[f19])).
% 0.19/0.27 tff(f21,plain,(
% 0.19/0.27 (sK0 != sK1) | spl3_1),
% 0.19/0.27 inference(avatar_component_clause,[],[f19])).
% 0.19/0.27 tff(f23,definition,(
% 0.19/0.27 spl3_2 <=> ($true = sK2)),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
% 0.19/0.27 tff(f24,plain,(
% 0.19/0.27 ($true = sK2) | ~spl3_2),
% 0.19/0.27 inference(avatar_component_clause,[],[f23])).
% 0.19/0.27 tff(f25,plain,(
% 0.19/0.27 ($true != sK2) | spl3_2),
% 0.19/0.27 inference(avatar_component_clause,[],[f23])).
% 0.19/0.27 tff(f27,definition,(
% 0.19/0.27 spl3_3 <=> ($true = sK0)),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition])).
% 0.19/0.27 tff(f28,plain,(
% 0.19/0.27 ($true = sK0) | ~spl3_3),
% 0.19/0.27 inference(avatar_component_clause,[],[f27])).
% 0.19/0.27 tff(f29,plain,(
% 0.19/0.27 ($true != sK0) | spl3_3),
% 0.19/0.27 inference(avatar_component_clause,[],[f27])).
% 0.19/0.27 tff(f31,definition,(
% 0.19/0.27 spl3_4 <=> (sK1 = sK2)),
% 0.19/0.27 introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition])).
% 0.19/0.27 tff(f32,plain,(
% 0.19/0.27 (sK1 = sK2) | ~spl3_4),
% 0.19/0.27 inference(avatar_component_clause,[],[f31])).
% 0.19/0.27 tff(f33,plain,(
% 0.19/0.27 (sK1 != sK2) | spl3_4),
% 0.19/0.27 inference(avatar_component_clause,[],[f31])).
% 0.19/0.27 tff(f34,plain,(
% 0.19/0.27 ~spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4),
% 0.19/0.27 inference(avatar_split_clause,[],[f15,f31,f27,f23,f19])).
% 0.19/0.27 tff(f35,plain,(
% 0.19/0.27 (sK1 = sK2) | ($true != sK0) | ($true != sK2) | spl3_1),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f9,f21])).
% 0.19/0.27 tff(f36,plain,(
% 0.19/0.27 ~spl3_2 | ~spl3_3 | spl3_4 | spl3_1),
% 0.19/0.27 inference(avatar_split_clause,[],[f35,f19,f31,f27,f23])).
% 0.19/0.27 tff(f37,plain,(
% 0.19/0.27 (sK1 = sK2) | ($true = sK0) | (sK0 = sK1) | spl3_2),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f12,f25])).
% 0.19/0.27 tff(f38,plain,(
% 0.19/0.27 (sK1 = sK2) | ($true = sK0) | (spl3_1 | spl3_2)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f37,f21])).
% 0.19/0.27 tff(f39,plain,(
% 0.19/0.27 spl3_3 | spl3_4 | spl3_1 | spl3_2),
% 0.19/0.27 inference(avatar_split_clause,[],[f38,f23,f19,f31,f27])).
% 0.19/0.27 tff(f40,plain,(
% 0.19/0.27 ($true != sK1) | (spl3_2 | ~spl3_4)),
% 0.19/0.27 inference(superposition,[],[f25,f32])).
% 0.19/0.27 tff(f53,plain,(
% 0.19/0.27 ($true != $true) | (sK0 = $false) | spl3_3),
% 0.19/0.27 inference(superposition,[],[f29,f17])).
% 0.19/0.27 tff(f54,plain,(
% 0.19/0.27 ($true != $true) | (sK1 = $false) | (spl3_2 | ~spl3_4)),
% 0.19/0.27 inference(superposition,[],[f40,f17])).
% 0.19/0.27 tff(f55,plain,(
% 0.19/0.27 ($true != sK0) | (sK1 = $false) | spl3_1),
% 0.19/0.27 inference(superposition,[],[f21,f17])).
% 0.19/0.27 tff(f57,plain,(
% 0.19/0.27 ($true != $true) | (sK2 = $false) | spl3_2),
% 0.19/0.27 inference(superposition,[],[f25,f17])).
% 0.19/0.27 tff(f59,plain,(
% 0.19/0.27 (sK2 = $false) | spl3_2),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f57])).
% 0.19/0.27 tff(f60,plain,(
% 0.19/0.27 (sK1 = $false) | (spl3_2 | ~spl3_4)),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f54])).
% 0.19/0.27 tff(f61,plain,(
% 0.19/0.27 (sK0 = $false) | spl3_3),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f53])).
% 0.19/0.27 tff(f73,plain,(
% 0.19/0.27 (sK0 != $false) | (spl3_1 | spl3_2 | ~spl3_4)),
% 0.19/0.27 inference(superposition,[],[f21,f60])).
% 0.19/0.27 tff(f75,plain,(
% 0.19/0.27 $false | (spl3_1 | spl3_2 | spl3_3 | ~spl3_4)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f73,f61])).
% 0.19/0.27 tff(f76,plain,(
% 0.19/0.27 spl3_1 | spl3_2 | spl3_3 | ~spl3_4),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f75])).
% 0.19/0.27 tff(f78,plain,(
% 0.19/0.27 (sK1 != sK2) | ($true != sK0) | (sK0 = sK1) | spl3_2),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f14,f25])).
% 0.19/0.27 tff(f79,plain,(
% 0.19/0.27 (sK1 != sK2) | ($true != sK0) | (spl3_1 | spl3_2)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f78,f21])).
% 0.19/0.27 tff(f80,plain,(
% 0.19/0.27 (sK1 != $false) | ($true != sK0) | (spl3_1 | spl3_2)),
% 0.19/0.27 inference(forward_demodulation,[],[f79,f59])).
% 0.19/0.27 tff(f81,plain,(
% 0.19/0.27 ($true != sK0) | (spl3_1 | spl3_2)),
% 0.19/0.27 inference(global_subsumption,[],[f80,f55])).
% 0.19/0.27 tff(f83,plain,(
% 0.19/0.27 ~spl3_3 | spl3_1 | spl3_2),
% 0.19/0.27 inference(avatar_split_clause,[],[f81,f23,f19,f27])).
% 0.19/0.27 tff(f84,plain,(
% 0.19/0.27 ($true != sK1) | (sK2 = $false) | spl3_4),
% 0.19/0.27 inference(superposition,[],[f33,f17])).
% 0.19/0.27 tff(f87,plain,(
% 0.19/0.27 ($true != sK0) | (sK2 = $false) | (~spl3_1 | spl3_4)),
% 0.19/0.27 inference(forward_demodulation,[],[f84,f20])).
% 0.19/0.27 tff(f88,plain,(
% 0.19/0.27 (sK2 = $false) | (~spl3_1 | ~spl3_3 | spl3_4)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f87,f28])).
% 0.19/0.27 tff(f94,plain,(
% 0.19/0.27 ($true != sK0) | ($true = sK2) | (sK0 != sK1) | spl3_4),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f8,f33])).
% 0.19/0.27 tff(f95,plain,(
% 0.19/0.27 ($true = sK2) | (sK0 != sK1) | (~spl3_3 | spl3_4)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f94,f28])).
% 0.19/0.27 tff(f96,plain,(
% 0.19/0.27 ($true = sK2) | (~spl3_1 | ~spl3_3 | spl3_4)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f95,f20])).
% 0.19/0.27 tff(f97,plain,(
% 0.19/0.27 ($true = $false) | (~spl3_1 | ~spl3_3 | spl3_4)),
% 0.19/0.27 inference(forward_demodulation,[],[f96,f88])).
% 0.19/0.27 tff(f98,plain,(
% 0.19/0.27 $false | (~spl3_1 | ~spl3_3 | spl3_4)),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f97])).
% 0.19/0.27 tff(f99,plain,(
% 0.19/0.27 ~spl3_1 | ~spl3_3 | spl3_4),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f98])).
% 0.19/0.27 tff(f101,plain,(
% 0.19/0.27 ($true != $true) | (sK0 = $false) | spl3_3),
% 0.19/0.27 inference(superposition,[],[f29,f17])).
% 0.19/0.27 tff(f102,plain,(
% 0.19/0.27 (sK0 = $false) | spl3_3),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f101])).
% 0.19/0.27 tff(f106,plain,(
% 0.19/0.27 ($true = sK0) | ($true != sK2) | (sK0 != sK1) | spl3_4),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f13,f33])).
% 0.19/0.27 tff(f107,plain,(
% 0.19/0.27 ($true != sK2) | (sK0 != sK1) | (spl3_3 | spl3_4)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f106,f29])).
% 0.19/0.27 tff(f108,plain,(
% 0.19/0.27 ($true != sK2) | (~spl3_1 | spl3_3 | spl3_4)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f107,f20])).
% 0.19/0.27 tff(f109,plain,(
% 0.19/0.27 ~spl3_2 | ~spl3_1 | spl3_3 | spl3_4),
% 0.19/0.27 inference(avatar_split_clause,[],[f108,f31,f27,f19,f23])).
% 0.19/0.27 tff(f110,plain,(
% 0.19/0.27 ($true != $true) | (sK2 = $false) | spl3_2),
% 0.19/0.27 inference(superposition,[],[f25,f17])).
% 0.19/0.27 tff(f111,plain,(
% 0.19/0.27 (sK2 = $false) | spl3_2),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f110])).
% 0.19/0.27 tff(f120,plain,(
% 0.19/0.27 (sK1 != sK2) | ($true = sK2) | (sK0 != sK1) | spl3_3),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f10,f29])).
% 0.19/0.27 tff(f121,plain,(
% 0.19/0.27 (sK1 != sK2) | (sK0 != sK1) | (spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f120,f25])).
% 0.19/0.27 tff(f122,plain,(
% 0.19/0.27 (sK1 != sK2) | (~spl3_1 | spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f121,f20])).
% 0.19/0.27 tff(f123,plain,(
% 0.19/0.27 (sK1 != $false) | (~spl3_1 | spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_demodulation,[],[f122,f111])).
% 0.19/0.27 tff(f124,plain,(
% 0.19/0.27 (sK0 != $false) | (~spl3_1 | spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_demodulation,[],[f123,f20])).
% 0.19/0.27 tff(f125,plain,(
% 0.19/0.27 $false | (~spl3_1 | spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f124,f102])).
% 0.19/0.27 tff(f126,plain,(
% 0.19/0.27 ~spl3_1 | spl3_2 | spl3_3),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f125])).
% 0.19/0.27 tff(f127,plain,(
% 0.19/0.27 (sK0 = sK2) | (~spl3_1 | ~spl3_4)),
% 0.19/0.27 inference(forward_demodulation,[],[f32,f20])).
% 0.19/0.27 tff(f130,plain,(
% 0.19/0.27 (sK2 = $false) | (~spl3_1 | spl3_3 | ~spl3_4)),
% 0.19/0.27 inference(forward_demodulation,[],[f127,f102])).
% 0.19/0.27 tff(f138,plain,(
% 0.19/0.27 ($true = $false) | (~spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4)),
% 0.19/0.27 inference(superposition,[],[f130,f24])).
% 0.19/0.27 tff(f144,plain,(
% 0.19/0.27 $false | (~spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4)),
% 0.19/0.27 inference(trivial_inequality_removal,[],[f138])).
% 0.19/0.27 tff(f145,plain,(
% 0.19/0.27 ~spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f144])).
% 0.19/0.27 tff(f146,plain,(
% 0.19/0.27 (sK1 != $false) | (spl3_1 | spl3_3)),
% 0.19/0.27 inference(forward_demodulation,[],[f21,f102])).
% 0.19/0.27 tff(f147,plain,(
% 0.19/0.27 (sK1 != sK2) | (sK0 = sK1) | ($true != sK2) | spl3_3),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f11,f29])).
% 0.19/0.27 tff(f149,plain,(
% 0.19/0.27 (sK1 != sK2) | (sK0 = sK1) | (~spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f147,f24])).
% 0.19/0.27 tff(f151,plain,(
% 0.19/0.27 ($true != sK1) | (sK0 = sK1) | (~spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_demodulation,[],[f149,f24])).
% 0.19/0.27 tff(f153,plain,(
% 0.19/0.27 (sK1 = $false) | ($true != sK1) | (~spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_demodulation,[],[f151,f102])).
% 0.19/0.27 tff(f155,plain,(
% 0.19/0.27 (sK1 = $false) | (~spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f153,f17])).
% 0.19/0.27 tff(f158,plain,(
% 0.19/0.27 $false | (spl3_1 | ~spl3_2 | spl3_3)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f155,f146])).
% 0.19/0.27 tff(f159,plain,(
% 0.19/0.27 spl3_1 | ~spl3_2 | spl3_3),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f158])).
% 0.19/0.27 tff(f160,plain,(
% 0.19/0.27 ($true = sK1) | (~spl3_2 | ~spl3_4)),
% 0.19/0.27 inference(forward_demodulation,[],[f32,f24])).
% 0.19/0.27 tff(f168,plain,(
% 0.19/0.27 ($true != sK0) | (spl3_1 | ~spl3_2 | ~spl3_4)),
% 0.19/0.27 inference(superposition,[],[f21,f160])).
% 0.19/0.27 tff(f169,plain,(
% 0.19/0.27 $false | (spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f168,f28])).
% 0.19/0.27 tff(f170,plain,(
% 0.19/0.27 spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f169])).
% 0.19/0.27 tff(f171,plain,(
% 0.19/0.27 ($true = sK1) | (~spl3_1 | ~spl3_3)),
% 0.19/0.27 inference(forward_demodulation,[],[f20,f28])).
% 0.19/0.27 tff(f179,plain,(
% 0.19/0.27 ($true != sK1) | (spl3_2 | ~spl3_4)),
% 0.19/0.27 inference(superposition,[],[f25,f32])).
% 0.19/0.27 tff(f183,plain,(
% 0.19/0.27 $false | (~spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4)),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f171,f179])).
% 0.19/0.27 tff(f184,plain,(
% 0.19/0.27 ~spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4),
% 0.19/0.27 inference(avatar_contradiction_clause,[],[f183])).
% 0.19/0.27 cnf(s12, plain, ~spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4, inference(sat_conversion,[],[f34])).
% 0.19/0.27 cnf(s18, plain, spl3_1 | ~spl3_2 | ~spl3_3 | spl3_4, inference(sat_conversion,[],[f36])).
% 0.19/0.27 cnf(s23, plain, spl3_1 | spl3_2 | spl3_3 | spl3_4, inference(sat_conversion,[],[f39])).
% 0.19/0.27 cnf(s46, plain, spl3_1 | spl3_2 | spl3_3 | ~spl3_4, inference(sat_conversion,[],[f76])).
% 0.19/0.27 cnf(s54, plain, spl3_1 | spl3_2 | ~spl3_3, inference(sat_conversion,[],[f83])).
% 0.19/0.27 cnf(s70, plain, ~spl3_1 | ~spl3_3 | spl3_4, inference(sat_conversion,[],[f99])).
% 0.19/0.27 cnf(s79, plain, ~spl3_1 | ~spl3_2 | spl3_3 | spl3_4, inference(sat_conversion,[],[f109])).
% 0.19/0.27 cnf(s86, plain, ~spl3_1 | spl3_2 | spl3_3, inference(sat_conversion,[],[f126])).
% 0.19/0.27 cnf(s94, plain, ~spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4, inference(sat_conversion,[],[f145])).
% 0.19/0.27 cnf(s100, plain, spl3_1 | ~spl3_2 | spl3_3, inference(sat_conversion,[],[f159])).
% 0.19/0.27 cnf(s111, plain, spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4, inference(sat_conversion,[],[f170])).
% 0.19/0.27 cnf(s123, plain, ~spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4, inference(sat_conversion,[],[f184])).
% 0.19/0.27 cnf(s124, plain, spl3_2 | spl3_3 | spl3_1, inference(rat,[],[s46,s23])).
% 0.19/0.27 cnf(s125, plain, spl3_2 | spl3_1, inference(rat,[],[s124,s54])).
% 0.19/0.27 cnf(s126, plain, ~spl3_3 | ~spl3_2 | spl3_1, inference(rat,[],[s18,s111])).
% 0.19/0.27 cnf(s127, plain, ~spl3_2 | spl3_1, inference(rat,[],[s126,s100])).
% 0.19/0.27 cnf(s128, plain, spl3_1, inference(rat,[],[s127,s125])).
% 0.19/0.27 cnf(s129, plain, spl3_2, inference(rat,[],[s123,s70,s86,s128])).
% 0.19/0.27 cnf(s130, plain, spl3_3, inference(rat,[],[s94,s79,s128,s129])).
% 0.19/0.27 cnf(s131, plain, spl3_4, inference(rat,[],[s70,s128,s130])).
% 0.19/0.27 cnf(s132, plain, $false, inference(rat,[],[s12,s128,s129,s131,s130])).
% 0.19/0.27 tff(f185,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(avatar_sat_refutation,[],[s132])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (2889118)------------------------------
% 0.19/0.27 % (2889118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2889118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2889118)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2889118)Termination reason: Refutation
% 0.19/0.27 % (2889118)Time elapsed: 0.003 s
% 0.19/0.27 % (2889118)Peak memory usage: 12 MB
% 0.19/0.27 % (2889118)Instructions burned: 8 (million)
% 0.19/0.27 % (2889111)Success in time 0.039 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------