%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO091^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:46:36 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% 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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n006.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:33:10 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.28 % (948287)Detected formulas, will run a generic FOF schedule.
% 0.22/0.28 % (948294)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=4243207939:s2a=on:i=272356:sd=1:bd=all:ss=included_2999 on theBenchmark for (2999ds/272356Mi)
% 0.22/0.28 % (948294) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-948287-948294"...
% 0.22/0.28 % (948294)...printing done.
% 0.22/0.28 % (948294)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% 0.22/0.28 tff(func_def_2, type, sK0: $o).
% 0.22/0.28 tff(func_def_3, type, sK1: $o).
% 0.22/0.28 tff(func_def_4, type, sK2: $o).
% 0.22/0.28 tff(f1,conjecture,(
% 0.22/0.28 ! [X0 : $o,X1 : $o,X2 : $o] : (((X0 <=> X1) <=> X2) <=> (X0 <=> (X1 <=> X2)))),
% 0.22/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM50Q)).
% 0.22/0.28 tff(f2,negated_conjecture,(
% 0.22/0.28 ~ ! [X0 : $o,X1 : $o,X2 : $o] : (((X0 <=> X1) <=> X2) <=> (X0 <=> (X1 <=> X2)))),
% 0.22/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.22/0.28 tff(f3,plain,(
% 0.22/0.28 ~ ! [X0 : $o,X1 : $o,X2 : $o] : (((X0 <=> X1) <=> X2) <=> (X0 <=> (X1 <=> X2)))),
% 0.22/0.28 inference(rectify,[],[f2])).
% 0.22/0.28 tff(f4,plain,(
% 0.22/0.28 ~ ! [X0 : $o,X1 : $o,X2 : $o] : (((X0 = X1) <=> ($true = X2)) <=> (($true = X0) <=> (X1 = X2)))),
% 0.22/0.28 inference(fool_elimination,[],[f3])).
% 0.22/0.28 tff(f5,plain,(
% 0.22/0.28 ? [X0 : $o,X1 : $o,X2 : $o] : (((X0 = X1) <=> ($true = X2)) <~> (($true = X0) <=> (X1 = X2)))),
% 0.22/0.28 inference(ennf_transformation,[],[f4])).
% 0.22/0.28 tff(f6,plain,(
% 0.22/0.28 ? [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)) & (($true = X2) | (X0 != X1)))))),
% 0.22/0.28 inference(nnf_transformation,[],[f5])).
% 0.22/0.28 tff(f7,plain,(
% 0.22/0.28 ((((sK1 != sK2) | ($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)) & (($true = sK2) | (sK0 != sK1))))),
% 0.22/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6])).
% 0.22/0.28 tff(f8,plain,(
% 0.22/0.28 (sK1 = sK2) | ($true != sK0) | ($true = sK2) | (sK0 != sK1)),
% 0.22/0.28 inference(cnf_transformation,[],[f7])).
% 0.22/0.28 tff(f9,plain,(
% 0.22/0.28 (sK1 = sK2) | ($true != sK0) | (sK0 = sK1) | ($true != sK2)),
% 0.22/0.28 inference(cnf_transformation,[],[f7])).
% 0.22/0.28 tff(f10,plain,(
% 0.22/0.28 ($true = sK0) | (sK1 != sK2) | ($true = sK2) | (sK0 != sK1)),
% 0.22/0.28 inference(cnf_transformation,[],[f7])).
% 0.22/0.28 tff(f11,plain,(
% 0.22/0.28 ($true = sK0) | (sK1 != sK2) | (sK0 = sK1) | ($true != sK2)),
% 0.22/0.28 inference(cnf_transformation,[],[f7])).
% 0.22/0.28 tff(f12,plain,(
% 0.22/0.28 (sK1 = sK2) | ($true = sK0) | ($true = sK2) | (sK0 = sK1)),
% 0.22/0.28 inference(cnf_transformation,[],[f7])).
% 0.22/0.28 tff(f13,plain,(
% 0.22/0.28 (sK1 = sK2) | ($true = sK0) | ($true != sK2) | (sK0 != sK1)),
% 0.22/0.28 inference(cnf_transformation,[],[f7])).
% 0.22/0.28 tff(f14,plain,(
% 0.22/0.28 (sK1 != sK2) | ($true != sK0) | ($true = sK2) | (sK0 = sK1)),
% 0.22/0.28 inference(cnf_transformation,[],[f7])).
% 0.22/0.28 tff(f15,plain,(
% 0.22/0.28 (sK1 != sK2) | ($true != sK0) | ($true != sK2) | (sK0 != sK1)),
% 0.22/0.28 inference(cnf_transformation,[],[f7])).
% 0.22/0.28 tff(f17,definition,(
% 0.22/0.28 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.22/0.28 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.22/0.28 tff(f19,definition,(
% 0.22/0.28 spl3_1 <=> (sK0 = sK1)),
% 0.22/0.28 introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
% 0.22/0.28 tff(f20,plain,(
% 0.22/0.28 (sK0 = sK1) | ~spl3_1),
% 0.22/0.28 inference(avatar_component_clause,[],[f19])).
% 0.22/0.28 tff(f21,plain,(
% 0.22/0.28 (sK0 != sK1) | spl3_1),
% 0.22/0.28 inference(avatar_component_clause,[],[f19])).
% 0.22/0.28 tff(f23,definition,(
% 0.22/0.28 spl3_2 <=> ($true = sK2)),
% 0.22/0.28 introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
% 0.22/0.28 tff(f24,plain,(
% 0.22/0.28 ($true != sK2) | spl3_2),
% 0.22/0.28 inference(avatar_component_clause,[],[f23])).
% 0.22/0.28 tff(f25,plain,(
% 0.22/0.28 ($true = sK2) | ~spl3_2),
% 0.22/0.28 inference(avatar_component_clause,[],[f23])).
% 0.22/0.28 tff(f27,definition,(
% 0.22/0.28 spl3_3 <=> ($true = sK0)),
% 0.22/0.28 introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition])).
% 0.22/0.28 tff(f28,plain,(
% 0.22/0.28 ($true = sK0) | ~spl3_3),
% 0.22/0.28 inference(avatar_component_clause,[],[f27])).
% 0.22/0.28 tff(f29,plain,(
% 0.22/0.28 ($true != sK0) | spl3_3),
% 0.22/0.28 inference(avatar_component_clause,[],[f27])).
% 0.22/0.28 tff(f31,definition,(
% 0.22/0.28 spl3_4 <=> (sK1 = sK2)),
% 0.22/0.28 introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition])).
% 0.22/0.28 tff(f32,plain,(
% 0.22/0.28 (sK1 != sK2) | spl3_4),
% 0.22/0.28 inference(avatar_component_clause,[],[f31])).
% 0.22/0.28 tff(f33,plain,(
% 0.22/0.28 (sK1 = sK2) | ~spl3_4),
% 0.22/0.28 inference(avatar_component_clause,[],[f31])).
% 0.22/0.28 tff(f34,plain,(
% 0.22/0.28 ~spl3_1 | spl3_2 | ~spl3_3 | spl3_4),
% 0.22/0.28 inference(avatar_split_clause,[],[f8,f31,f27,f23,f19])).
% 0.22/0.28 tff(f35,plain,(
% 0.22/0.28 ~spl3_2 | spl3_1 | ~spl3_3 | spl3_4),
% 0.22/0.28 inference(avatar_split_clause,[],[f9,f31,f27,f19,f23])).
% 0.22/0.28 tff(f36,plain,(
% 0.22/0.28 ~spl3_1 | spl3_2 | ~spl3_4 | spl3_3),
% 0.22/0.28 inference(avatar_split_clause,[],[f10,f27,f31,f23,f19])).
% 0.22/0.28 tff(f37,plain,(
% 0.22/0.28 ~spl3_2 | spl3_1 | ~spl3_4 | spl3_3),
% 0.22/0.28 inference(avatar_split_clause,[],[f11,f27,f31,f19,f23])).
% 0.22/0.28 tff(f38,plain,(
% 0.22/0.28 spl3_1 | spl3_2 | spl3_3 | spl3_4),
% 0.22/0.28 inference(avatar_split_clause,[],[f12,f31,f27,f23,f19])).
% 0.22/0.28 tff(f39,plain,(
% 0.22/0.28 ~spl3_1 | ~spl3_2 | spl3_3 | spl3_4),
% 0.22/0.28 inference(avatar_split_clause,[],[f13,f31,f27,f23,f19])).
% 0.22/0.28 tff(f40,plain,(
% 0.22/0.28 spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4),
% 0.22/0.28 inference(avatar_split_clause,[],[f14,f31,f27,f23,f19])).
% 0.22/0.28 tff(f41,plain,(
% 0.22/0.28 ~spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4),
% 0.22/0.28 inference(avatar_split_clause,[],[f15,f31,f27,f23,f19])).
% 0.22/0.28 tff(f42,plain,(
% 0.22/0.28 ($true != sK1) | (~spl3_2 | spl3_4)),
% 0.22/0.28 inference(forward_demodulation,[],[f32,f25])).
% 0.22/0.28 tff(f49,plain,(
% 0.22/0.28 ($true != $true) | (sK0 = $false) | spl3_3),
% 0.22/0.28 inference(superposition,[],[f29,f17])).
% 0.22/0.28 tff(f50,plain,(
% 0.22/0.28 ($true != $true) | (sK1 = $false) | (~spl3_2 | spl3_4)),
% 0.22/0.28 inference(superposition,[],[f42,f17])).
% 0.22/0.28 tff(f51,plain,(
% 0.22/0.28 ($true != sK0) | (sK1 = $false) | spl3_1),
% 0.22/0.28 inference(superposition,[],[f21,f17])).
% 0.22/0.28 tff(f53,plain,(
% 0.22/0.28 (sK1 = $false) | (~spl3_2 | spl3_4)),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f50])).
% 0.22/0.28 tff(f54,plain,(
% 0.22/0.28 (sK0 = $false) | spl3_3),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f49])).
% 0.22/0.28 tff(f56,plain,(
% 0.22/0.28 (sK0 != $false) | (spl3_1 | ~spl3_2 | spl3_4)),
% 0.22/0.28 inference(backward_demodulation,[],[f21,f53])).
% 0.22/0.28 tff(f58,plain,(
% 0.22/0.28 $false | (spl3_1 | ~spl3_2 | spl3_3 | spl3_4)),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f56,f54])).
% 0.22/0.28 tff(f59,plain,(
% 0.22/0.28 spl3_1 | ~spl3_2 | spl3_3 | spl3_4),
% 0.22/0.28 inference(avatar_contradiction_clause,[],[f58])).
% 0.22/0.28 tff(f60,plain,(
% 0.22/0.28 ($true = sK1) | (~spl3_2 | ~spl3_4)),
% 0.22/0.28 inference(forward_demodulation,[],[f33,f25])).
% 0.22/0.28 tff(f62,plain,(
% 0.22/0.28 (sK1 = $false) | (spl3_1 | ~spl3_3)),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f51,f28])).
% 0.22/0.28 tff(f65,plain,(
% 0.22/0.28 ($true = $false) | (spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4)),
% 0.22/0.28 inference(backward_demodulation,[],[f60,f62])).
% 0.22/0.28 tff(f66,plain,(
% 0.22/0.28 $false | (spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4)),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f65])).
% 0.22/0.28 tff(f67,plain,(
% 0.22/0.28 spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4),
% 0.22/0.28 inference(avatar_contradiction_clause,[],[f66])).
% 0.22/0.28 tff(f68,plain,(
% 0.22/0.28 ($true = sK1) | (~spl3_1 | ~spl3_3)),
% 0.22/0.28 inference(forward_demodulation,[],[f20,f28])).
% 0.22/0.28 tff(f70,plain,(
% 0.22/0.28 ($true = $false) | (~spl3_1 | ~spl3_2 | ~spl3_3 | spl3_4)),
% 0.22/0.28 inference(forward_demodulation,[],[f68,f53])).
% 0.22/0.29 tff(f71,plain,(
% 0.22/0.29 $false | (~spl3_1 | ~spl3_2 | ~spl3_3 | spl3_4)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f70])).
% 0.22/0.29 tff(f72,plain,(
% 0.22/0.29 ~spl3_1 | ~spl3_2 | ~spl3_3 | spl3_4),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f71])).
% 0.22/0.29 tff(f76,plain,(
% 0.22/0.29 (sK2 != $false) | (spl3_1 | ~spl3_3 | spl3_4)),
% 0.22/0.29 inference(forward_demodulation,[],[f32,f62])).
% 0.22/0.29 tff(f78,plain,(
% 0.22/0.29 (sK2 = $false) | spl3_2),
% 0.22/0.29 inference(unit_resulting_resolution,[],[f17,f24])).
% 0.22/0.29 tff(f79,plain,(
% 0.22/0.29 ($true != $true) | (sK2 = $false) | spl3_2),
% 0.22/0.29 inference(superposition,[],[f24,f17])).
% 0.22/0.29 tff(f80,plain,(
% 0.22/0.29 (sK2 = $false) | spl3_2),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f79])).
% 0.22/0.29 tff(f83,plain,(
% 0.22/0.29 $false | (spl3_1 | spl3_2 | ~spl3_3 | spl3_4)),
% 0.22/0.29 inference(forward_subsumption_resolution,[],[f78,f76])).
% 0.22/0.29 tff(f84,plain,(
% 0.22/0.29 spl3_1 | spl3_2 | ~spl3_3 | spl3_4),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f83])).
% 0.22/0.29 tff(f87,plain,(
% 0.22/0.29 (sK1 != $false) | (spl3_1 | spl3_3)),
% 0.22/0.29 inference(forward_demodulation,[],[f21,f54])).
% 0.22/0.29 tff(f88,plain,(
% 0.22/0.29 (sK1 = $false) | (spl3_2 | ~spl3_4)),
% 0.22/0.29 inference(backward_demodulation,[],[f33,f80])).
% 0.22/0.29 tff(f89,plain,(
% 0.22/0.29 $false | (spl3_1 | spl3_2 | spl3_3 | ~spl3_4)),
% 0.22/0.29 inference(forward_subsumption_resolution,[],[f88,f87])).
% 0.22/0.29 tff(f90,plain,(
% 0.22/0.29 spl3_1 | spl3_2 | spl3_3 | ~spl3_4),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f89])).
% 0.22/0.29 tff(f91,plain,(
% 0.22/0.29 (sK1 = $false) | (~spl3_1 | spl3_3)),
% 0.22/0.29 inference(forward_demodulation,[],[f20,f54])).
% 0.22/0.29 tff(f92,plain,(
% 0.22/0.29 (sK1 != $false) | (spl3_2 | spl3_4)),
% 0.22/0.29 inference(forward_demodulation,[],[f32,f80])).
% 0.22/0.29 tff(f94,plain,(
% 0.22/0.29 $false | (~spl3_1 | spl3_2 | spl3_3 | spl3_4)),
% 0.22/0.29 inference(forward_subsumption_resolution,[],[f92,f91])).
% 0.22/0.29 tff(f95,plain,(
% 0.22/0.29 ~spl3_1 | spl3_2 | spl3_3 | spl3_4),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f94])).
% 0.22/0.29 tff(f99,plain,(
% 0.22/0.29 ($true = sK1) | (~spl3_2 | ~spl3_4)),
% 0.22/0.29 inference(forward_demodulation,[],[f33,f25])).
% 0.22/0.29 tff(f100,plain,(
% 0.22/0.29 ($true = $false) | (~spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4)),
% 0.22/0.29 inference(forward_demodulation,[],[f99,f91])).
% 0.22/0.29 tff(f101,plain,(
% 0.22/0.29 $false | (~spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f100])).
% 0.22/0.29 tff(f102,plain,(
% 0.22/0.29 ~spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f101])).
% 0.22/0.29 tff(f108,plain,(
% 0.22/0.29 (sK0 = $false) | (~spl3_1 | spl3_2 | ~spl3_4)),
% 0.22/0.29 inference(forward_demodulation,[],[f20,f88])).
% 0.22/0.29 tff(f110,plain,(
% 0.22/0.29 ($true = $false) | (~spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4)),
% 0.22/0.29 inference(backward_demodulation,[],[f28,f108])).
% 0.22/0.29 tff(f111,plain,(
% 0.22/0.29 $false | (~spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4)),
% 0.22/0.29 inference(trivial_inequality_removal,[],[f110])).
% 0.22/0.29 tff(f112,plain,(
% 0.22/0.29 ~spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4),
% 0.22/0.29 inference(avatar_contradiction_clause,[],[f111])).
% 0.22/0.29 cnf(s1, plain, ~spl3_1 | spl3_2 | ~spl3_3 | spl3_4, inference(sat_conversion,[],[f34])).
% 0.22/0.29 cnf(s2, plain, spl3_1 | ~spl3_2 | ~spl3_3 | spl3_4, inference(sat_conversion,[],[f35])).
% 0.22/0.29 cnf(s3, plain, ~spl3_1 | spl3_2 | spl3_3 | ~spl3_4, inference(sat_conversion,[],[f36])).
% 0.22/0.29 cnf(s4, plain, spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4, inference(sat_conversion,[],[f37])).
% 0.22/0.29 cnf(s5, plain, spl3_1 | spl3_2 | spl3_3 | spl3_4, inference(sat_conversion,[],[f38])).
% 0.22/0.29 cnf(s6, plain, ~spl3_1 | ~spl3_2 | spl3_3 | spl3_4, inference(sat_conversion,[],[f39])).
% 0.22/0.29 cnf(s7, plain, spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4, inference(sat_conversion,[],[f40])).
% 0.22/0.29 cnf(s8, plain, ~spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4, inference(sat_conversion,[],[f41])).
% 0.22/0.29 cnf(s9, plain, spl3_1 | ~spl3_2 | spl3_3 | spl3_4, inference(sat_conversion,[],[f59])).
% 0.22/0.29 cnf(s11, plain, spl3_1 | ~spl3_2 | ~spl3_3 | ~spl3_4, inference(sat_conversion,[],[f67])).
% 0.22/0.29 cnf(s12, plain, ~spl3_1 | ~spl3_2 | ~spl3_3 | spl3_4, inference(sat_conversion,[],[f72])).
% 0.22/0.29 cnf(s14, plain, spl3_1 | spl3_2 | ~spl3_3 | spl3_4, inference(sat_conversion,[],[f84])).
% 0.22/0.29 cnf(s15, plain, spl3_1 | spl3_2 | spl3_3 | ~spl3_4, inference(sat_conversion,[],[f90])).
% 0.22/0.29 cnf(s16, plain, ~spl3_1 | spl3_2 | spl3_3 | spl3_4, inference(sat_conversion,[],[f95])).
% 0.22/0.29 cnf(s18, plain, ~spl3_1 | ~spl3_2 | spl3_3 | ~spl3_4, inference(sat_conversion,[],[f102])).
% 0.22/0.29 cnf(s20, plain, ~spl3_1 | spl3_2 | ~spl3_3 | ~spl3_4, inference(sat_conversion,[],[f112])).
% 0.22/0.29 cnf(s21, plain, spl3_3 | spl3_2 | spl3_1, inference(rat,[],[s5,s15])).
% 0.22/0.29 cnf(s22, plain, ~spl3_3 | spl3_2 | spl3_1, inference(rat,[],[s7,s14])).
% 0.22/0.29 cnf(s23, plain, spl3_2 | spl3_1, inference(rat,[],[s22,s21])).
% 0.22/0.29 cnf(s24, plain, spl3_3 | ~spl3_2 | spl3_1, inference(rat,[],[s4,s9])).
% 0.22/0.29 cnf(s25, plain, ~spl3_3 | spl3_1 | ~spl3_2, inference(rat,[],[s2,s11])).
% 0.22/0.29 cnf(s26, plain, ~spl3_2 | spl3_1, inference(rat,[],[s25,s24])).
% 0.22/0.29 cnf(s27, plain, spl3_1, inference(rat,[],[s26,s23])).
% 0.22/0.29 cnf(s28, plain, spl3_3 | spl3_2, inference(rat,[],[s3,s16,s27])).
% 0.22/0.29 cnf(s29, plain, ~spl3_3 | spl3_2, inference(rat,[],[s1,s20,s27])).
% 0.22/0.29 cnf(s30, plain, spl3_2, inference(rat,[],[s29,s28])).
% 0.22/0.29 cnf(s31, plain, spl3_3, inference(rat,[],[s6,s18,s27,s30])).
% 0.22/0.29 cnf(s32, plain, ~spl3_4, inference(rat,[],[s8,s27,s30,s31])).
% 0.22/0.29 cnf(s33, plain, $false, inference(rat,[],[s12,s30,s27,s31,s32])).
% 0.22/0.29 tff(f113,plain,(
% 0.22/0.29 $false),
% 0.22/0.29 inference(avatar_sat_refutation,[],[s33])).
% 0.22/0.29 % SZS output end Proof for theBenchmark
% 0.22/0.29 % (948294)------------------------------
% 0.22/0.29 % (948294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (948294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (948294)CaDiCaL version: 2.1.3
% 0.22/0.29 % (948294)Termination reason: Refutation
% 0.22/0.29 % (948294)Time elapsed: 0.002 s
% 0.22/0.29 % (948294)Peak memory usage: 13 MB
% 0.22/0.29 % (948294)Instructions burned: 4 (million)
% 0.22/0.29 % (948287)Success in time 0.028 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------