%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV104^5 : 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 : n011.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 08:39:00 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV104^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n011.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
% 0.09/0.18 % DateTime : Tue Sep 29 15:10:46 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.26 % (201473)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (201480)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2994318501:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (201480) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-201473-201480"...
% 0.09/0.26 % (201479)% WARNING: option uhcvi not known.
% 0.09/0.26 % (201480)...printing done.
% 0.09/0.26 % (201480)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% 0.09/0.26 thf(type_def_5, type, a: $tType).
% 0.09/0.26 thf(type_def_6, type, b: $tType).
% 0.09/0.26 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.26 thf(func_def_0, type, cR: (a > a > $o)).
% 0.09/0.26 thf(func_def_1, type, z: a).
% 0.09/0.26 thf(func_def_2, type, f: (a > b > $o)).
% 0.09/0.26 thf(func_def_3, type, cS: (b > b > $o)).
% 0.09/0.26 thf(func_def_7, type, sK0: b).
% 0.09/0.26 thf(func_def_8, type, sK1: a).
% 0.09/0.26 thf(func_def_9, type, sK2: a).
% 0.09/0.26 thf(func_def_10, type, sK3: (a > b)).
% 0.09/0.26 thf(f1,conjecture,(
% 0.09/0.26 (! [X3 : a] : (cR @ X3 @ X3) & ! [X0 : a,X1 : a,X2 : a] : (((cR @ X2 @ X1) & (cR @ X0 @ X1)) => (cR @ X0 @ X2))) => ((! [X7 : a,X8 : a,X4 : b] : (((f @ X8 @ X4) & (f @ X7 @ X4)) => (cR @ X7 @ X8)) & ! [X3 : a,X5 : b,X6 : b] : (((f @ X3 @ X6) & (f @ X3 @ X5)) => (cS @ X5 @ X6)) & ! [X3 : a] : ? [X4 : b] : (f @ X3 @ X4)) => ! [X4 : b,X7 : a,X8 : a] : ((! [X2 : a] : (((cR @ X8 @ z) & ~(f @ X2 @ X4)) | (f @ X8 @ X4)) & ! [X2 : a] : (((cR @ X7 @ z) & ~(f @ X2 @ X4)) | (f @ X7 @ X4))) => (cR @ X7 @ X8)))),
% 0.09/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM552D_pme)).
% 0.09/0.26 thf(f2,negated_conjecture,(
% 0.09/0.26 ~((! [X3 : a] : (cR @ X3 @ X3) & ! [X0 : a,X1 : a,X2 : a] : (((cR @ X2 @ X1) & (cR @ X0 @ X1)) => (cR @ X0 @ X2))) => ((! [X7 : a,X8 : a,X4 : b] : (((f @ X8 @ X4) & (f @ X7 @ X4)) => (cR @ X7 @ X8)) & ! [X3 : a,X5 : b,X6 : b] : (((f @ X3 @ X6) & (f @ X3 @ X5)) => (cS @ X5 @ X6)) & ! [X3 : a] : ? [X4 : b] : (f @ X3 @ X4)) => ! [X4 : b,X7 : a,X8 : a] : ((! [X2 : a] : (((cR @ X8 @ z) & ~(f @ X2 @ X4)) | (f @ X8 @ X4)) & ! [X2 : a] : (((cR @ X7 @ z) & ~(f @ X2 @ X4)) | (f @ X7 @ X4))) => (cR @ X7 @ X8))))),
% 0.09/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.26 thf(f3,plain,(
% 0.09/0.26 ~((! [X0 : a] : (cR @ X0 @ X0) & ! [X1 : a,X2 : a,X3 : a] : (((cR @ X3 @ X2) & (cR @ X1 @ X2)) => (cR @ X1 @ X3))) => ((! [X4 : a,X5 : a,X6 : b] : (((f @ X5 @ X6) & (f @ X4 @ X6)) => (cR @ X4 @ X5)) & ! [X7 : a,X8 : b,X9 : b] : (((f @ X7 @ X9) & (f @ X7 @ X8)) => (cS @ X8 @ X9)) & ! [X10 : a] : ? [X11 : b] : (f @ X10 @ X11)) => ! [X12 : b,X13 : a,X14 : a] : ((! [X15 : a] : (((cR @ X14 @ z) & ~(f @ X15 @ X12)) | (f @ X14 @ X12)) & ! [X16 : a] : (((cR @ X13 @ z) & ~(f @ X16 @ X12)) | (f @ X13 @ X12))) => (cR @ X13 @ X14))))),
% 0.09/0.26 inference(rectify,[],[f2])).
% 0.09/0.26 thf(f4,plain,(
% 0.09/0.26 ~((! [X0 : a] : (((cR @ X0 @ X0)) = $true) & ! [X1 : a,X2 : a,X3 : a] : (((((cR @ X3 @ X2)) = $true) & (((cR @ X1 @ X2)) = $true)) => (((cR @ X1 @ X3)) = $true))) => ((! [X4 : a,X5 : a,X6 : b] : (((((f @ X5 @ X6)) = $true) & (((f @ X4 @ X6)) = $true)) => (((cR @ X4 @ X5)) = $true)) & ! [X7 : a,X8 : b,X9 : b] : (((((f @ X7 @ X9)) = $true) & (((f @ X7 @ X8)) = $true)) => (((cS @ X8 @ X9)) = $true)) & ! [X10 : a] : ? [X11 : b] : (((f @ X10 @ X11)) = $true)) => ! [X12 : b,X13 : a,X14 : a] : ((! [X15 : a] : (((((cR @ X14 @ z)) = $true) & ~ (((f @ X15 @ X12)) = $true)) | (((f @ X14 @ X12)) = $true)) & ! [X16 : a] : (((((cR @ X13 @ z)) = $true) & ~ (((f @ X16 @ X12)) = $true)) | (((f @ X13 @ X12)) = $true))) => (((cR @ X13 @ X14)) = $true))))),
% 0.09/0.26 inference(fool_elimination,[],[f3])).
% 0.09/0.26 thf(f5,plain,(
% 0.09/0.26 ~((! [X0 : a] : (((cR @ X0 @ X0)) = $true) & ! [X1 : a,X2 : a,X3 : a] : (((((cR @ X3 @ X2)) = $true) & (((cR @ X1 @ X2)) = $true)) => (((cR @ X1 @ X3)) = $true))) => ((! [X4 : a,X5 : a,X6 : b] : (((((f @ X5 @ X6)) = $true) & (((f @ X4 @ X6)) = $true)) => (((cR @ X4 @ X5)) = $true)) & ! [X7 : a,X8 : b,X9 : b] : (((((f @ X7 @ X9)) = $true) & (((f @ X7 @ X8)) = $true)) => (((cS @ X8 @ X9)) = $true)) & ! [X10 : a] : ? [X11 : b] : (((f @ X10 @ X11)) = $true)) => ! [X12 : b,X13 : a,X14 : a] : ((! [X15 : a] : (((((cR @ X14 @ z)) = $true) & (((f @ X15 @ X12)) != $true)) | (((f @ X14 @ X12)) = $true)) & ! [X16 : a] : (((((cR @ X13 @ z)) = $true) & (((f @ X16 @ X12)) != $true)) | (((f @ X13 @ X12)) = $true))) => (((cR @ X13 @ X14)) = $true))))),
% 0.09/0.26 inference(flattening,[],[f4])).
% 0.09/0.26 thf(f6,plain,(
% 0.09/0.26 (? [X12 : b,X13 : a,X14 : a] : ((((cR @ X13 @ X14)) != $true) & (! [X15 : a] : (((((cR @ X14 @ z)) = $true) & (((f @ X15 @ X12)) != $true)) | (((f @ X14 @ X12)) = $true)) & ! [X16 : a] : (((((cR @ X13 @ z)) = $true) & (((f @ X16 @ X12)) != $true)) | (((f @ X13 @ X12)) = $true)))) & (! [X4 : a,X5 : a,X6 : b] : ((((cR @ X4 @ X5)) = $true) | ((((f @ X5 @ X6)) != $true) | (((f @ X4 @ X6)) != $true))) & ! [X7 : a,X8 : b,X9 : b] : ((((cS @ X8 @ X9)) = $true) | ((((f @ X7 @ X9)) != $true) | (((f @ X7 @ X8)) != $true))) & ! [X10 : a] : ? [X11 : b] : (((f @ X10 @ X11)) = $true))) & (! [X0 : a] : (((cR @ X0 @ X0)) = $true) & ! [X1 : a,X2 : a,X3 : a] : ((((cR @ X1 @ X3)) = $true) | ((((cR @ X3 @ X2)) != $true) | (((cR @ X1 @ X2)) != $true))))),
% 0.09/0.26 inference(ennf_transformation,[],[f5])).
% 0.09/0.26 thf(f7,plain,(
% 0.09/0.26 ? [X12 : b,X13 : a,X14 : a] : ((((cR @ X13 @ X14)) != $true) & ! [X15 : a] : (((((cR @ X14 @ z)) = $true) & (((f @ X15 @ X12)) != $true)) | (((f @ X14 @ X12)) = $true)) & ! [X16 : a] : (((((cR @ X13 @ z)) = $true) & (((f @ X16 @ X12)) != $true)) | (((f @ X13 @ X12)) = $true))) & ! [X4 : a,X5 : a,X6 : b] : ((((cR @ X4 @ X5)) = $true) | (((f @ X5 @ X6)) != $true) | (((f @ X4 @ X6)) != $true)) & ! [X7 : a,X8 : b,X9 : b] : ((((cS @ X8 @ X9)) = $true) | (((f @ X7 @ X9)) != $true) | (((f @ X7 @ X8)) != $true)) & ! [X10 : a] : ? [X11 : b] : (((f @ X10 @ X11)) = $true) & ! [X0 : a] : (((cR @ X0 @ X0)) = $true) & ! [X1 : a,X2 : a,X3 : a] : ((((cR @ X1 @ X3)) = $true) | (((cR @ X3 @ X2)) != $true) | (((cR @ X1 @ X2)) != $true))),
% 0.09/0.26 inference(flattening,[],[f6])).
% 0.09/0.26 thf(f8,plain,(
% 0.09/0.26 ? [X0 : b,X1 : a,X2 : a] : ((((cR @ X1 @ X2)) != $true) & ! [X3 : a] : ((($true = ((cR @ X2 @ z))) & ($true != ((f @ X3 @ X0)))) | ($true = ((f @ X2 @ X0)))) & ! [X4 : a] : ((($true = ((cR @ X1 @ z))) & ($true != ((f @ X4 @ X0)))) | ($true = ((f @ X1 @ X0))))) & ! [X5 : a,X6 : a,X7 : b] : (($true = ((cR @ X5 @ X6))) | ($true != ((f @ X6 @ X7))) | ($true != ((f @ X5 @ X7)))) & ! [X8 : a,X9 : b,X10 : b] : (($true = ((cS @ X9 @ X10))) | ($true != ((f @ X8 @ X10))) | ($true != ((f @ X8 @ X9)))) & ! [X11 : a] : ? [X12 : b] : ($true = ((f @ X11 @ X12))) & ! [X13 : a] : ($true = ((cR @ X13 @ X13))) & ! [X14 : a,X15 : a,X16 : a] : (($true = ((cR @ X14 @ X16))) | ($true != ((cR @ X16 @ X15))) | ($true != ((cR @ X14 @ X15))))),
% 0.09/0.26 inference(rectify,[],[f7])).
% 0.09/0.26 thf(f9,plain,(
% 0.09/0.26 (($true != ((cR @ sK1 @ sK2))) & ! [X3 : a] : ((($true = ((cR @ sK2 @ z))) & ($true != ((f @ X3 @ sK0)))) | ($true = ((f @ sK2 @ sK0)))) & ! [X4 : a] : ((($true = ((cR @ sK1 @ z))) & ($true != ((f @ X4 @ sK0)))) | ($true = ((f @ sK1 @ sK0))))) & ! [X5 : a,X6 : a,X7 : b] : (($true = ((cR @ X5 @ X6))) | ($true != ((f @ X6 @ X7))) | ($true != ((f @ X5 @ X7)))) & ! [X8 : a,X9 : b,X10 : b] : (($true = ((cS @ X9 @ X10))) | ($true != ((f @ X8 @ X10))) | ($true != ((f @ X8 @ X9)))) & ! [X11 : a] : ($true = ((f @ X11 @ (sK3 @ X11)))) & ! [X13 : a] : ($true = ((cR @ X13 @ X13))) & ! [X14 : a,X15 : a,X16 : a] : (($true = ((cR @ X14 @ X16))) | ($true != ((cR @ X16 @ X15))) | ($true != ((cR @ X14 @ X15))))),
% 0.09/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X12,sK3 @ X11)],[f8])).
% 0.09/0.26 thf(f10,plain,(
% 0.09/0.26 ( ! [X16 : a,X14 : a,X15 : a] : (($true != ((cR @ X16 @ X15))) | ($true = ((cR @ X14 @ X16))) | ($true != ((cR @ X14 @ X15)))) )),
% 0.09/0.26 inference(cnf_transformation,[],[f9])).
% 0.09/0.26 thf(f14,plain,(
% 0.09/0.26 ( ! [X6 : a,X7 : b,X5 : a] : (($true != ((f @ X6 @ X7))) | ($true = ((cR @ X5 @ X6))) | ($true != ((f @ X5 @ X7)))) )),
% 0.09/0.26 inference(cnf_transformation,[],[f9])).
% 0.09/0.26 thf(f15,plain,(
% 0.09/0.26 ( ! [X4 : a] : (($true != ((f @ X4 @ sK0))) | ($true = ((f @ sK1 @ sK0)))) )),
% 0.09/0.26 inference(cnf_transformation,[],[f9])).
% 0.09/0.26 thf(f16,plain,(
% 0.09/0.26 ($true = ((cR @ sK1 @ z))) | ($true = ((f @ sK1 @ sK0)))),
% 0.09/0.26 inference(cnf_transformation,[],[f9])).
% 0.09/0.26 thf(f17,plain,(
% 0.09/0.26 ( ! [X3 : a] : (($true != ((f @ X3 @ sK0))) | ($true = ((f @ sK2 @ sK0)))) )),
% 0.09/0.26 inference(cnf_transformation,[],[f9])).
% 0.09/0.26 thf(f18,plain,(
% 0.09/0.26 ($true = ((cR @ sK2 @ z))) | ($true = ((f @ sK2 @ sK0)))),
% 0.09/0.26 inference(cnf_transformation,[],[f9])).
% 0.09/0.26 thf(f19,plain,(
% 0.09/0.26 ($true != ((cR @ sK1 @ sK2)))),
% 0.09/0.26 inference(cnf_transformation,[],[f9])).
% 0.09/0.26 thf(f23,definition,(
% 0.09/0.26 spl4_1 <=> ($true = ((f @ sK1 @ sK0)))),
% 0.09/0.26 introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition])).
% 0.09/0.26 thf(f24,plain,(
% 0.09/0.26 ($true != ((f @ sK1 @ sK0))) | spl4_1),
% 0.09/0.26 inference(avatar_component_clause,[],[f23])).
% 0.09/0.26 thf(f25,plain,(
% 0.09/0.26 ($true = ((f @ sK1 @ sK0))) | ~spl4_1),
% 0.09/0.26 inference(avatar_component_clause,[],[f23])).
% 0.09/0.26 thf(f27,definition,(
% 0.09/0.26 spl4_2 <=> ! [X4 : a] : ($true != ((f @ X4 @ sK0)))),
% 0.09/0.26 introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition])).
% 0.09/0.26 thf(f28,plain,(
% 0.09/0.26 ( ! [X4 : a] : (($true != ((f @ X4 @ sK0)))) ) | ~spl4_2),
% 0.09/0.26 inference(avatar_component_clause,[],[f27])).
% 0.09/0.26 thf(f29,plain,(
% 0.09/0.26 spl4_1 | spl4_2),
% 0.09/0.26 inference(avatar_split_clause,[],[f15,f27,f23])).
% 0.09/0.26 thf(f31,definition,(
% 0.09/0.26 spl4_3 <=> ($true = ((f @ sK2 @ sK0)))),
% 0.09/0.26 introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition])).
% 0.09/0.26 thf(f33,plain,(
% 0.09/0.26 ($true = ((f @ sK2 @ sK0))) | ~spl4_3),
% 0.09/0.26 inference(avatar_component_clause,[],[f31])).
% 0.09/0.26 thf(f34,plain,(
% 0.09/0.26 spl4_3 | spl4_2),
% 0.09/0.26 inference(avatar_split_clause,[],[f17,f27,f31])).
% 0.09/0.26 thf(f36,definition,(
% 0.09/0.26 spl4_4 <=> ($true = ((cR @ sK2 @ z)))),
% 0.09/0.26 introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition])).
% 0.09/0.26 thf(f38,plain,(
% 0.09/0.26 ($true = ((cR @ sK2 @ z))) | ~spl4_4),
% 0.09/0.26 inference(avatar_component_clause,[],[f36])).
% 0.09/0.26 thf(f39,plain,(
% 0.09/0.26 spl4_3 | spl4_4),
% 0.09/0.26 inference(avatar_split_clause,[],[f18,f36,f31])).
% 0.09/0.26 thf(f40,plain,(
% 0.09/0.26 ($true != $true) | (~spl4_1 | ~spl4_2)),
% 0.09/0.26 inference(constrained_superposition,[],[f28,f25])).
% 0.09/0.26 thf(f41,plain,(
% 0.09/0.26 $false | (~spl4_1 | ~spl4_2)),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f40])).
% 0.09/0.26 thf(f42,plain,(
% 0.09/0.26 ~spl4_1 | ~spl4_2),
% 0.09/0.26 inference(avatar_contradiction_clause,[],[f41])).
% 0.09/0.26 thf(f81,plain,(
% 0.09/0.26 ( ! [X0 : a] : (($true != $true) | ($true = ((cR @ X0 @ sK2))) | ($true != ((f @ X0 @ sK0)))) ) | ~spl4_3),
% 0.09/0.26 inference(constrained_superposition,[],[f14,f33])).
% 0.09/0.26 thf(f82,plain,(
% 0.09/0.26 ( ! [X0 : a] : (($true != ((f @ X0 @ sK0))) | ($true = ((cR @ X0 @ sK2)))) ) | ~spl4_3),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f81])).
% 0.09/0.26 thf(f88,plain,(
% 0.09/0.26 ($true != $true) | ($true = ((cR @ sK1 @ sK2))) | (~spl4_1 | ~spl4_3)),
% 0.09/0.26 inference(constrained_superposition,[],[f82,f25])).
% 0.09/0.26 thf(f91,plain,(
% 0.09/0.26 ($true = ((cR @ sK1 @ sK2))) | (~spl4_1 | ~spl4_3)),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f88])).
% 0.09/0.26 thf(f92,plain,(
% 0.09/0.26 $false | (~spl4_1 | ~spl4_3)),
% 0.09/0.26 inference(forward_subsumption_resolution,[],[f91,f19])).
% 0.09/0.26 thf(f93,plain,(
% 0.09/0.26 ~spl4_1 | ~spl4_3),
% 0.09/0.26 inference(avatar_contradiction_clause,[],[f92])).
% 0.09/0.26 thf(f94,plain,(
% 0.09/0.26 ( ! [X0 : a] : (($true != $true) | ($true = ((cR @ X0 @ sK2))) | ($true != ((cR @ X0 @ z)))) ) | ~spl4_4),
% 0.09/0.26 inference(constrained_superposition,[],[f10,f38])).
% 0.09/0.26 thf(f95,plain,(
% 0.09/0.26 ( ! [X0 : a] : (($true != ((cR @ X0 @ z))) | ($true = ((cR @ X0 @ sK2)))) ) | ~spl4_4),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f94])).
% 0.09/0.26 thf(f102,plain,(
% 0.09/0.26 ($true = ((cR @ sK1 @ z))) | spl4_1),
% 0.09/0.26 inference(forward_subsumption_resolution,[],[f16,f24])).
% 0.09/0.26 thf(f110,plain,(
% 0.09/0.26 ($true != $true) | ($true = ((cR @ sK1 @ sK2))) | (spl4_1 | ~spl4_4)),
% 0.09/0.26 inference(constrained_superposition,[],[f95,f102])).
% 0.09/0.26 thf(f111,plain,(
% 0.09/0.26 ($true = ((cR @ sK1 @ sK2))) | (spl4_1 | ~spl4_4)),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f110])).
% 0.09/0.26 thf(f114,plain,(
% 0.09/0.26 $false | (spl4_1 | ~spl4_4)),
% 0.09/0.26 inference(forward_subsumption_resolution,[],[f111,f19])).
% 0.09/0.26 thf(f115,plain,(
% 0.09/0.26 spl4_1 | ~spl4_4),
% 0.09/0.26 inference(avatar_contradiction_clause,[],[f114])).
% 0.09/0.26 thf(f116,plain,(
% 0.09/0.26 $false | (~spl4_2 | ~spl4_3)),
% 0.09/0.26 inference(forward_subsumption_resolution,[],[f33,f28])).
% 0.09/0.26 thf(f117,plain,(
% 0.09/0.26 ~spl4_2 | ~spl4_3),
% 0.09/0.26 inference(avatar_contradiction_clause,[],[f116])).
% 0.09/0.26 cnf(s18, plain, spl4_1 | spl4_2, inference(sat_conversion,[],[f29])).
% 0.09/0.26 cnf(s22, plain, spl4_2 | spl4_3, inference(sat_conversion,[],[f34])).
% 0.09/0.26 cnf(s25, plain, spl4_3 | spl4_4, inference(sat_conversion,[],[f39])).
% 0.09/0.26 cnf(s28, plain, ~spl4_1 | ~spl4_2, inference(sat_conversion,[],[f42])).
% 0.09/0.26 cnf(s53, plain, ~spl4_1 | ~spl4_3, inference(sat_conversion,[],[f93])).
% 0.09/0.26 cnf(s70, plain, spl4_1 | ~spl4_4, inference(sat_conversion,[],[f115])).
% 0.09/0.26 cnf(s72, plain, ~spl4_2 | ~spl4_3, inference(sat_conversion,[],[f117])).
% 0.09/0.26 cnf(s75, plain, spl4_1, inference(rat,[],[s72,s25,s18,s70])).
% 0.09/0.26 cnf(s76, plain, ~spl4_3, inference(rat,[],[s53,s75])).
% 0.09/0.26 cnf(s77, plain, ~spl4_2, inference(rat,[],[s28,s75])).
% 0.09/0.26 cnf(s79, plain, $false, inference(rat,[],[s22,s76,s77])).
% 0.09/0.26 thf(f118,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(avatar_sat_refutation,[],[s79])).
% 0.09/0.26 % SZS output end Proof for theBenchmark
% 0.09/0.26 % (201480)------------------------------
% 0.09/0.26 % (201480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (201480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (201480)CaDiCaL version: 2.1.3
% 0.09/0.26 % (201480)Termination reason: Refutation
% 0.09/0.26 % (201480)Time elapsed: 0.004 s
% 0.09/0.26 % (201480)Peak memory usage: 12 MB
% 0.09/0.26 % (201480)Instructions burned: 10 (million)
% 0.09/0.26 % (201473)Success in time 0.04 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------