TSTP Solution File: SYO112^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO112^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:10:20 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO112^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 09:57:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (12231)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (12235)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (12232)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (12233)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (12234)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.39 % (12236)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (12237)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (12238)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (12235)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % (12234)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % Exception at run slice level% Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % (12237)First to succeed.
% 0.15/0.39 % (12234)Also succeeded, but the first one will report.
% 0.15/0.39 % (12237)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12231"
% 0.15/0.39 % (12237)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% 0.15/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.39 thf(func_def_0, type, cP: $i > $o).
% 0.15/0.39 thf(func_def_4, type, sP0: $o).
% 0.15/0.39 thf(func_def_13, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.39 thf(func_def_14, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.39 thf(func_def_15, type, vAND: $o > $o > $o).
% 0.15/0.39 thf(func_def_16, type, vOR: $o > $o > $o).
% 0.15/0.39 thf(func_def_17, type, vIMP: $o > $o > $o).
% 0.15/0.39 thf(func_def_18, type, vNOT: $o > $o).
% 0.15/0.39 thf(func_def_19, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.39 thf(f142,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(avatar_sat_refutation,[],[f42,f47,f51,f61,f66,f67,f115,f117,f119,f121,f139,f141])).
% 0.15/0.39 thf(f141,plain,(
% 0.15/0.39 ~spl8_5 | spl8_7),
% 0.15/0.39 inference(avatar_contradiction_clause,[],[f140])).
% 0.15/0.39 thf(f140,plain,(
% 0.15/0.39 $false | (~spl8_5 | spl8_7)),
% 0.15/0.39 inference(subsumption_resolution,[],[f60,f50])).
% 0.15/0.39 thf(f50,plain,(
% 0.15/0.39 ( ! [X3 : $i] : (($true = vAPP($i,$o,cP,X3))) ) | ~spl8_5),
% 0.15/0.39 inference(avatar_component_clause,[],[f49])).
% 0.15/0.39 thf(f49,plain,(
% 0.15/0.39 spl8_5 <=> ! [X3] : ($true = vAPP($i,$o,cP,X3))),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])).
% 0.15/0.39 thf(f60,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cP,sK4)) | spl8_7),
% 0.15/0.39 inference(avatar_component_clause,[],[f58])).
% 0.15/0.39 thf(f58,plain,(
% 0.15/0.39 spl8_7 <=> ($true = vAPP($i,$o,cP,sK4))),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])).
% 0.15/0.39 thf(f139,plain,(
% 0.15/0.39 spl8_1 | ~spl8_5),
% 0.15/0.39 inference(avatar_contradiction_clause,[],[f138])).
% 0.15/0.39 thf(f138,plain,(
% 0.15/0.39 $false | (spl8_1 | ~spl8_5)),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f131])).
% 0.15/0.39 thf(f131,plain,(
% 0.15/0.39 ($true != $true) | (spl8_1 | ~spl8_5)),
% 0.15/0.39 inference(superposition,[],[f34,f50])).
% 0.15/0.39 thf(f34,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cP,sK1)) | spl8_1),
% 0.15/0.39 inference(avatar_component_clause,[],[f32])).
% 0.15/0.39 thf(f32,plain,(
% 0.15/0.39 spl8_1 <=> ($true = vAPP($i,$o,cP,sK1))),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])).
% 0.15/0.39 thf(f121,plain,(
% 0.15/0.39 ~spl8_1 | ~spl8_2),
% 0.15/0.39 inference(avatar_contradiction_clause,[],[f120])).
% 0.15/0.39 thf(f120,plain,(
% 0.15/0.39 $false | (~spl8_1 | ~spl8_2)),
% 0.15/0.39 inference(subsumption_resolution,[],[f33,f37])).
% 0.15/0.39 thf(f37,plain,(
% 0.15/0.39 ( ! [X1 : $i] : ((vAPP($i,$o,cP,X1) != $true)) ) | ~spl8_2),
% 0.15/0.39 inference(avatar_component_clause,[],[f36])).
% 0.15/0.39 thf(f36,plain,(
% 0.15/0.39 spl8_2 <=> ! [X1] : (vAPP($i,$o,cP,X1) != $true)),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])).
% 0.15/0.39 thf(f33,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cP,sK1)) | ~spl8_1),
% 0.15/0.39 inference(avatar_component_clause,[],[f32])).
% 0.15/0.39 thf(f119,plain,(
% 0.15/0.39 ~spl8_2 | ~spl8_8),
% 0.15/0.39 inference(avatar_contradiction_clause,[],[f118])).
% 0.15/0.39 thf(f118,plain,(
% 0.15/0.39 $false | (~spl8_2 | ~spl8_8)),
% 0.15/0.39 inference(subsumption_resolution,[],[f65,f37])).
% 0.15/0.39 thf(f65,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cP,sK5)) | ~spl8_8),
% 0.15/0.39 inference(avatar_component_clause,[],[f63])).
% 0.15/0.39 thf(f63,plain,(
% 0.15/0.39 spl8_8 <=> ($true = vAPP($i,$o,cP,sK5))),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])).
% 0.15/0.39 thf(f117,plain,(
% 0.15/0.39 ~spl8_2 | ~spl8_5),
% 0.15/0.39 inference(avatar_contradiction_clause,[],[f116])).
% 0.15/0.39 thf(f116,plain,(
% 0.15/0.39 $false | (~spl8_2 | ~spl8_5)),
% 0.15/0.39 inference(subsumption_resolution,[],[f50,f37])).
% 0.15/0.39 thf(f115,plain,(
% 0.15/0.39 ~spl8_2 | ~spl8_4),
% 0.15/0.39 inference(avatar_contradiction_clause,[],[f114])).
% 0.15/0.39 thf(f114,plain,(
% 0.15/0.39 $false | (~spl8_2 | ~spl8_4)),
% 0.15/0.39 inference(subsumption_resolution,[],[f46,f37])).
% 0.15/0.39 thf(f46,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cP,sK2)) | ~spl8_4),
% 0.15/0.39 inference(avatar_component_clause,[],[f44])).
% 0.15/0.39 thf(f44,plain,(
% 0.15/0.39 spl8_4 <=> ($true = vAPP($i,$o,cP,sK2))),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])).
% 0.15/0.39 thf(f67,plain,(
% 0.15/0.39 spl8_3 | spl8_2 | spl8_5),
% 0.15/0.39 inference(avatar_split_clause,[],[f28,f49,f36,f39])).
% 0.15/0.39 thf(f39,plain,(
% 0.15/0.39 spl8_3 <=> ($true = sP0)),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])).
% 0.15/0.39 thf(f28,plain,(
% 0.15/0.39 ( ! [X4 : $i,X5 : $i] : (($true = vAPP($i,$o,cP,X4)) | ($true != vAPP($i,$o,cP,X5)) | ($true = sP0)) )),
% 0.15/0.39 inference(cnf_transformation,[],[f22])).
% 0.15/0.39 thf(f22,plain,(
% 0.15/0.39 (((! [X0] : (vAPP($i,$o,cP,X0) != $true) | ($true != vAPP($i,$o,cP,sK4))) & (($true = vAPP($i,$o,cP,sK5)) | ! [X3] : ($true = vAPP($i,$o,cP,X3)))) | ($true != sP0)) & (((! [X4] : ($true = vAPP($i,$o,cP,X4)) | ! [X5] : ($true != vAPP($i,$o,cP,X5))) & (($true = vAPP($i,$o,cP,sK6)) | ($true != vAPP($i,$o,cP,sK7)))) | ($true = sP0))),
% 0.15/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f17,f21,f20,f19,f18])).
% 0.15/0.39 thf(f18,plain,(
% 0.15/0.39 ? [X1] : (vAPP($i,$o,cP,X1) != $true) => ($true != vAPP($i,$o,cP,sK4))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f19,plain,(
% 0.15/0.39 ? [X2] : ($true = vAPP($i,$o,cP,X2)) => ($true = vAPP($i,$o,cP,sK5))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f20,plain,(
% 0.15/0.39 ? [X6] : ($true = vAPP($i,$o,cP,X6)) => ($true = vAPP($i,$o,cP,sK6))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f21,plain,(
% 0.15/0.39 ? [X7] : ($true != vAPP($i,$o,cP,X7)) => ($true != vAPP($i,$o,cP,sK7))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f17,plain,(
% 0.15/0.39 (((! [X0] : (vAPP($i,$o,cP,X0) != $true) | ? [X1] : (vAPP($i,$o,cP,X1) != $true)) & (? [X2] : ($true = vAPP($i,$o,cP,X2)) | ! [X3] : ($true = vAPP($i,$o,cP,X3)))) | ($true != sP0)) & (((! [X4] : ($true = vAPP($i,$o,cP,X4)) | ! [X5] : ($true != vAPP($i,$o,cP,X5))) & (? [X6] : ($true = vAPP($i,$o,cP,X6)) | ? [X7] : ($true != vAPP($i,$o,cP,X7)))) | ($true = sP0))),
% 0.15/0.39 inference(rectify,[],[f16])).
% 0.15/0.39 thf(f16,plain,(
% 0.15/0.39 (((! [X3] : ($true != vAPP($i,$o,cP,X3)) | ? [X2] : ($true != vAPP($i,$o,cP,X2))) & (? [X3] : ($true = vAPP($i,$o,cP,X3)) | ! [X2] : ($true = vAPP($i,$o,cP,X2)))) | ($true != sP0)) & (((! [X2] : ($true = vAPP($i,$o,cP,X2)) | ! [X3] : ($true != vAPP($i,$o,cP,X3))) & (? [X3] : ($true = vAPP($i,$o,cP,X3)) | ? [X2] : ($true != vAPP($i,$o,cP,X2)))) | ($true = sP0))),
% 0.15/0.39 inference(nnf_transformation,[],[f9])).
% 0.15/0.39 thf(f9,plain,(
% 0.15/0.39 ($true = sP0) <~> (! [X2] : ($true = vAPP($i,$o,cP,X2)) <=> ? [X3] : ($true = vAPP($i,$o,cP,X3)))),
% 0.15/0.39 inference(definition_folding,[],[f7,f8])).
% 0.15/0.39 thf(f8,plain,(
% 0.15/0.39 ($true = sP0) <=> ! [X0] : ((vAPP($i,$o,cP,X0) = $true) <=> ? [X1] : (vAPP($i,$o,cP,X1) = $true))),
% 0.15/0.39 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.15/0.39 thf(f7,plain,(
% 0.15/0.39 ! [X0] : ((vAPP($i,$o,cP,X0) = $true) <=> ? [X1] : (vAPP($i,$o,cP,X1) = $true)) <~> (! [X2] : ($true = vAPP($i,$o,cP,X2)) <=> ? [X3] : ($true = vAPP($i,$o,cP,X3)))),
% 0.15/0.39 inference(ennf_transformation,[],[f6])).
% 0.15/0.39 thf(f6,plain,(
% 0.15/0.39 ~(! [X0] : ((vAPP($i,$o,cP,X0) = $true) <=> ? [X1] : (vAPP($i,$o,cP,X1) = $true)) <=> (! [X2] : ($true = vAPP($i,$o,cP,X2)) <=> ? [X3] : ($true = vAPP($i,$o,cP,X3))))),
% 0.15/0.39 inference(fool_elimination,[],[f5])).
% 0.15/0.39 thf(f5,plain,(
% 0.15/0.39 ~(! [X0] : (vAPP($i,$o,cP,X0) <=> ? [X1] : vAPP($i,$o,cP,X1)) <=> (! [X2] : vAPP($i,$o,cP,X2) <=> ? [X3] : vAPP($i,$o,cP,X3)))),
% 0.15/0.39 inference(rectify,[],[f2])).
% 0.15/0.39 thf(f2,negated_conjecture,(
% 0.15/0.39 ~(! [X0] : (vAPP($i,$o,cP,X0) <=> ? [X1] : vAPP($i,$o,cP,X1)) <=> (! [X0] : vAPP($i,$o,cP,X0) <=> ? [X1] : vAPP($i,$o,cP,X1)))),
% 0.15/0.39 inference(negated_conjecture,[],[f1])).
% 0.15/0.39 thf(f1,conjecture,(
% 0.15/0.39 ! [X0] : (vAPP($i,$o,cP,X0) <=> ? [X1] : vAPP($i,$o,cP,X1)) <=> (! [X0] : vAPP($i,$o,cP,X0) <=> ? [X1] : vAPP($i,$o,cP,X1))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM53)).
% 0.15/0.39 thf(f66,plain,(
% 0.15/0.39 ~spl8_3 | spl8_5 | spl8_8),
% 0.15/0.39 inference(avatar_split_clause,[],[f29,f63,f49,f39])).
% 0.15/0.39 thf(f29,plain,(
% 0.15/0.39 ( ! [X3 : $i] : (($true = vAPP($i,$o,cP,sK5)) | ($true = vAPP($i,$o,cP,X3)) | ($true != sP0)) )),
% 0.15/0.39 inference(cnf_transformation,[],[f22])).
% 0.15/0.39 thf(f61,plain,(
% 0.15/0.39 ~spl8_3 | ~spl8_7 | spl8_2),
% 0.15/0.39 inference(avatar_split_clause,[],[f30,f36,f58,f39])).
% 0.15/0.39 thf(f30,plain,(
% 0.15/0.39 ( ! [X0 : $i] : ((vAPP($i,$o,cP,X0) != $true) | ($true != vAPP($i,$o,cP,sK4)) | ($true != sP0)) )),
% 0.15/0.39 inference(cnf_transformation,[],[f22])).
% 0.15/0.39 thf(f51,plain,(
% 0.15/0.39 ~spl8_3 | spl8_2 | spl8_5),
% 0.15/0.39 inference(avatar_split_clause,[],[f24,f49,f36,f39])).
% 0.15/0.39 thf(f24,plain,(
% 0.15/0.39 ( ! [X3 : $i,X4 : $i] : (($true = vAPP($i,$o,cP,X3)) | ($true != vAPP($i,$o,cP,X4)) | ($true != sP0)) )),
% 0.15/0.39 inference(cnf_transformation,[],[f15])).
% 0.15/0.39 thf(f15,plain,(
% 0.15/0.39 (($true = sP0) | ((! [X1] : (vAPP($i,$o,cP,X1) != $true) | ($true != vAPP($i,$o,cP,sK1))) & (($true = vAPP($i,$o,cP,sK2)) | ($true = vAPP($i,$o,cP,sK1))))) & (! [X3] : ((($true = vAPP($i,$o,cP,X3)) | ! [X4] : ($true != vAPP($i,$o,cP,X4))) & (($true = vAPP($i,$o,cP,sK3)) | ($true != vAPP($i,$o,cP,X3)))) | ($true != sP0))),
% 0.15/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f11,f14,f13,f12])).
% 0.15/0.39 thf(f12,plain,(
% 0.15/0.39 ? [X0] : ((! [X1] : (vAPP($i,$o,cP,X1) != $true) | (vAPP($i,$o,cP,X0) != $true)) & (? [X2] : ($true = vAPP($i,$o,cP,X2)) | (vAPP($i,$o,cP,X0) = $true))) => ((! [X1] : (vAPP($i,$o,cP,X1) != $true) | ($true != vAPP($i,$o,cP,sK1))) & (? [X2] : ($true = vAPP($i,$o,cP,X2)) | ($true = vAPP($i,$o,cP,sK1))))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f13,plain,(
% 0.15/0.39 ? [X2] : ($true = vAPP($i,$o,cP,X2)) => ($true = vAPP($i,$o,cP,sK2))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f14,plain,(
% 0.15/0.39 ? [X5] : ($true = vAPP($i,$o,cP,X5)) => ($true = vAPP($i,$o,cP,sK3))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f11,plain,(
% 0.15/0.39 (($true = sP0) | ? [X0] : ((! [X1] : (vAPP($i,$o,cP,X1) != $true) | (vAPP($i,$o,cP,X0) != $true)) & (? [X2] : ($true = vAPP($i,$o,cP,X2)) | (vAPP($i,$o,cP,X0) = $true)))) & (! [X3] : ((($true = vAPP($i,$o,cP,X3)) | ! [X4] : ($true != vAPP($i,$o,cP,X4))) & (? [X5] : ($true = vAPP($i,$o,cP,X5)) | ($true != vAPP($i,$o,cP,X3)))) | ($true != sP0))),
% 0.15/0.39 inference(rectify,[],[f10])).
% 0.15/0.39 thf(f10,plain,(
% 0.15/0.39 (($true = sP0) | ? [X0] : ((! [X1] : (vAPP($i,$o,cP,X1) != $true) | (vAPP($i,$o,cP,X0) != $true)) & (? [X1] : (vAPP($i,$o,cP,X1) = $true) | (vAPP($i,$o,cP,X0) = $true)))) & (! [X0] : (((vAPP($i,$o,cP,X0) = $true) | ! [X1] : (vAPP($i,$o,cP,X1) != $true)) & (? [X1] : (vAPP($i,$o,cP,X1) = $true) | (vAPP($i,$o,cP,X0) != $true))) | ($true != sP0))),
% 0.15/0.39 inference(nnf_transformation,[],[f8])).
% 0.15/0.39 thf(f47,plain,(
% 0.15/0.39 spl8_1 | spl8_4 | spl8_3),
% 0.15/0.39 inference(avatar_split_clause,[],[f25,f39,f44,f32])).
% 0.15/0.39 thf(f25,plain,(
% 0.15/0.39 ($true = sP0) | ($true = vAPP($i,$o,cP,sK2)) | ($true = vAPP($i,$o,cP,sK1))),
% 0.15/0.39 inference(cnf_transformation,[],[f15])).
% 0.15/0.39 thf(f42,plain,(
% 0.15/0.39 ~spl8_1 | spl8_2 | spl8_3),
% 0.15/0.39 inference(avatar_split_clause,[],[f26,f39,f36,f32])).
% 0.15/0.39 thf(f26,plain,(
% 0.15/0.39 ( ! [X1 : $i] : (($true = sP0) | (vAPP($i,$o,cP,X1) != $true) | ($true != vAPP($i,$o,cP,sK1))) )),
% 0.15/0.39 inference(cnf_transformation,[],[f15])).
% 0.15/0.39 % SZS output end Proof for theBenchmark
% 0.15/0.39 % (12237)------------------------------
% 0.15/0.39 % (12237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (12237)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (12237)Memory used [KB]: 852
% 0.15/0.39 % (12237)Time elapsed: 0.006 s
% 0.15/0.39 % (12237)Instructions burned: 7 (million)
% 0.15/0.39 % (12231)Success in time 0.019 s
%------------------------------------------------------------------------------