TSTP Solution File: SYN059^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN059^5 : 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 : n003.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 08:33:57 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN059^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 13:53:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (3789)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (3793)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (3791)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (3790)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (3792)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)
% 0.14/0.37 % (3796)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)
% 0.14/0.37 % (3795)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (3794)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (3793)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % (3792)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % Exception at run slice level% Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (3795)First to succeed.
% 0.14/0.37 % (3792)Also succeeded, but the first one will report.
% 0.14/0.37 % (3795)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3789"
% 0.14/0.38 % (3795)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% 0.14/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.14/0.38 thf(func_def_0, type, cJ: $i > $o).
% 0.14/0.38 thf(func_def_1, type, cG: $i > $o).
% 0.14/0.38 thf(func_def_2, type, cH: $i > $o).
% 0.14/0.38 thf(func_def_3, type, cF: $i > $o).
% 0.14/0.38 thf(func_def_7, type, sP0: $o).
% 0.14/0.38 thf(func_def_8, type, sP1: $o).
% 0.14/0.38 thf(func_def_15, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.38 thf(func_def_16, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.38 thf(func_def_17, type, vAND: $o > $o > $o).
% 0.14/0.38 thf(func_def_18, type, vOR: $o > $o > $o).
% 0.14/0.38 thf(func_def_19, type, vIMP: $o > $o > $o).
% 0.14/0.38 thf(func_def_20, type, vNOT: $o > $o).
% 0.14/0.38 thf(func_def_21, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.38 thf(f164,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(avatar_sat_refutation,[],[f44,f49,f56,f76,f81,f86,f87,f88,f89,f133,f144,f155,f163])).
% 0.14/0.38 thf(f163,plain,(
% 0.14/0.38 ~spl7_4),
% 0.14/0.38 inference(avatar_contradiction_clause,[],[f162])).
% 0.14/0.38 thf(f162,plain,(
% 0.14/0.38 $false | ~spl7_4),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f156])).
% 0.14/0.38 thf(f156,plain,(
% 0.14/0.38 ($true != $true) | ~spl7_4),
% 0.14/0.38 inference(superposition,[],[f52,f31])).
% 0.14/0.38 thf(f31,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cF,sK6))),
% 0.14/0.38 inference(cnf_transformation,[],[f23])).
% 0.14/0.38 thf(f23,plain,(
% 0.14/0.38 (($true = sP1) | (($true = sP0) & ! [X0] : ((vAPP($i,$o,cJ,X0) = $true) | (vAPP($i,$o,cG,X0) != $true)) & ! [X1] : (($true = vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cF,X1))))) & ($true = vAPP($i,$o,cG,sK5)) & ($true = vAPP($i,$o,cF,sK6))),
% 0.14/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f20,f22,f21])).
% 0.14/0.38 thf(f21,plain,(
% 0.14/0.38 ? [X2] : ($true = vAPP($i,$o,cG,X2)) => ($true = vAPP($i,$o,cG,sK5))),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f22,plain,(
% 0.14/0.38 ? [X3] : ($true = vAPP($i,$o,cF,X3)) => ($true = vAPP($i,$o,cF,sK6))),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f20,plain,(
% 0.14/0.38 (($true = sP1) | (($true = sP0) & ! [X0] : ((vAPP($i,$o,cJ,X0) = $true) | (vAPP($i,$o,cG,X0) != $true)) & ! [X1] : (($true = vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cF,X1))))) & ? [X2] : ($true = vAPP($i,$o,cG,X2)) & ? [X3] : ($true = vAPP($i,$o,cF,X3))),
% 0.14/0.38 inference(rectify,[],[f11])).
% 0.14/0.38 thf(f11,plain,(
% 0.14/0.38 (($true = sP1) | (($true = sP0) & ! [X5] : (($true = vAPP($i,$o,cJ,X5)) | ($true != vAPP($i,$o,cG,X5))) & ! [X6] : (($true = vAPP($i,$o,cH,X6)) | ($true != vAPP($i,$o,cF,X6))))) & ? [X0] : (vAPP($i,$o,cG,X0) = $true) & ? [X1] : ($true = vAPP($i,$o,cF,X1))),
% 0.14/0.38 inference(definition_folding,[],[f8,f10,f9])).
% 0.14/0.38 thf(f9,plain,(
% 0.14/0.38 ? [X7,X8] : ((($true != vAPP($i,$o,cJ,X8)) | ($true != vAPP($i,$o,cH,X7))) & ($true = vAPP($i,$o,cG,X8)) & ($true = vAPP($i,$o,cF,X7))) | ~($true = sP0)),
% 0.14/0.38 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.14/0.38 thf(f10,plain,(
% 0.14/0.38 (? [X4] : (($true != vAPP($i,$o,cJ,X4)) & ($true = vAPP($i,$o,cG,X4))) & ! [X2,X3] : ((($true = vAPP($i,$o,cJ,X3)) & ($true = vAPP($i,$o,cH,X2))) | ($true != vAPP($i,$o,cG,X3)) | ($true != vAPP($i,$o,cF,X2)))) | ~($true = sP1)),
% 0.14/0.38 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.14/0.38 thf(f8,plain,(
% 0.14/0.38 ((? [X4] : (($true != vAPP($i,$o,cJ,X4)) & ($true = vAPP($i,$o,cG,X4))) & ! [X2,X3] : ((($true = vAPP($i,$o,cJ,X3)) & ($true = vAPP($i,$o,cH,X2))) | ($true != vAPP($i,$o,cG,X3)) | ($true != vAPP($i,$o,cF,X2)))) | (? [X7,X8] : ((($true != vAPP($i,$o,cJ,X8)) | ($true != vAPP($i,$o,cH,X7))) & ($true = vAPP($i,$o,cG,X8)) & ($true = vAPP($i,$o,cF,X7))) & ! [X5] : (($true = vAPP($i,$o,cJ,X5)) | ($true != vAPP($i,$o,cG,X5))) & ! [X6] : (($true = vAPP($i,$o,cH,X6)) | ($true != vAPP($i,$o,cF,X6))))) & ? [X0] : (vAPP($i,$o,cG,X0) = $true) & ? [X1] : ($true = vAPP($i,$o,cF,X1))),
% 0.14/0.38 inference(flattening,[],[f7])).
% 0.14/0.38 thf(f7,plain,(
% 0.14/0.38 ((? [X4] : (($true != vAPP($i,$o,cJ,X4)) & ($true = vAPP($i,$o,cG,X4))) & ! [X2,X3] : ((($true = vAPP($i,$o,cJ,X3)) & ($true = vAPP($i,$o,cH,X2))) | (($true != vAPP($i,$o,cG,X3)) | ($true != vAPP($i,$o,cF,X2))))) | (? [X7,X8] : ((($true != vAPP($i,$o,cJ,X8)) | ($true != vAPP($i,$o,cH,X7))) & (($true = vAPP($i,$o,cG,X8)) & ($true = vAPP($i,$o,cF,X7)))) & (! [X5] : (($true = vAPP($i,$o,cJ,X5)) | ($true != vAPP($i,$o,cG,X5))) & ! [X6] : (($true = vAPP($i,$o,cH,X6)) | ($true != vAPP($i,$o,cF,X6)))))) & (? [X0] : (vAPP($i,$o,cG,X0) = $true) & ? [X1] : ($true = vAPP($i,$o,cF,X1)))),
% 0.14/0.38 inference(ennf_transformation,[],[f6])).
% 0.14/0.38 thf(f6,plain,(
% 0.14/0.38 ~((? [X0] : (vAPP($i,$o,cG,X0) = $true) & ? [X1] : ($true = vAPP($i,$o,cF,X1))) => ((! [X2,X3] : ((($true = vAPP($i,$o,cG,X3)) & ($true = vAPP($i,$o,cF,X2))) => (($true = vAPP($i,$o,cJ,X3)) & ($true = vAPP($i,$o,cH,X2)))) => ! [X4] : (($true = vAPP($i,$o,cG,X4)) => ($true = vAPP($i,$o,cJ,X4)))) & ((! [X5] : (($true = vAPP($i,$o,cG,X5)) => ($true = vAPP($i,$o,cJ,X5))) & ! [X6] : (($true = vAPP($i,$o,cF,X6)) => ($true = vAPP($i,$o,cH,X6)))) => ! [X7,X8] : ((($true = vAPP($i,$o,cG,X8)) & ($true = vAPP($i,$o,cF,X7))) => (($true = vAPP($i,$o,cJ,X8)) & ($true = vAPP($i,$o,cH,X7)))))))),
% 0.14/0.38 inference(fool_elimination,[],[f5])).
% 0.14/0.38 thf(f5,plain,(
% 0.14/0.38 ~((? [X0] : vAPP($i,$o,cG,X0) & ? [X1] : vAPP($i,$o,cF,X1)) => ((! [X2,X3] : ((vAPP($i,$o,cG,X3) & vAPP($i,$o,cF,X2)) => (vAPP($i,$o,cJ,X3) & vAPP($i,$o,cH,X2))) => ! [X4] : (vAPP($i,$o,cG,X4) => vAPP($i,$o,cJ,X4))) & ((! [X5] : (vAPP($i,$o,cG,X5) => vAPP($i,$o,cJ,X5)) & ! [X6] : (vAPP($i,$o,cF,X6) => vAPP($i,$o,cH,X6))) => ! [X7,X8] : ((vAPP($i,$o,cG,X8) & vAPP($i,$o,cF,X7)) => (vAPP($i,$o,cJ,X8) & vAPP($i,$o,cH,X7))))))),
% 0.14/0.38 inference(rectify,[],[f2])).
% 0.14/0.38 thf(f2,negated_conjecture,(
% 0.14/0.38 ~((? [X0] : vAPP($i,$o,cG,X0) & ? [X0] : vAPP($i,$o,cF,X0)) => ((! [X0,X1] : ((vAPP($i,$o,cG,X1) & vAPP($i,$o,cF,X0)) => (vAPP($i,$o,cJ,X1) & vAPP($i,$o,cH,X0))) => ! [X0] : (vAPP($i,$o,cG,X0) => vAPP($i,$o,cJ,X0))) & ((! [X0] : (vAPP($i,$o,cG,X0) => vAPP($i,$o,cJ,X0)) & ! [X0] : (vAPP($i,$o,cF,X0) => vAPP($i,$o,cH,X0))) => ! [X0,X1] : ((vAPP($i,$o,cG,X1) & vAPP($i,$o,cF,X0)) => (vAPP($i,$o,cJ,X1) & vAPP($i,$o,cH,X0))))))),
% 0.14/0.38 inference(negated_conjecture,[],[f1])).
% 0.14/0.38 thf(f1,conjecture,(
% 0.14/0.38 (? [X0] : vAPP($i,$o,cG,X0) & ? [X0] : vAPP($i,$o,cF,X0)) => ((! [X0,X1] : ((vAPP($i,$o,cG,X1) & vAPP($i,$o,cF,X0)) => (vAPP($i,$o,cJ,X1) & vAPP($i,$o,cH,X0))) => ! [X0] : (vAPP($i,$o,cG,X0) => vAPP($i,$o,cJ,X0))) & ((! [X0] : (vAPP($i,$o,cG,X0) => vAPP($i,$o,cJ,X0)) & ! [X0] : (vAPP($i,$o,cF,X0) => vAPP($i,$o,cH,X0))) => ! [X0,X1] : ((vAPP($i,$o,cG,X1) & vAPP($i,$o,cF,X0)) => (vAPP($i,$o,cJ,X1) & vAPP($i,$o,cH,X0)))))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPELL29)).
% 0.14/0.38 thf(f52,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (($true != vAPP($i,$o,cF,X1))) ) | ~spl7_4),
% 0.14/0.38 inference(avatar_component_clause,[],[f51])).
% 0.14/0.38 thf(f51,plain,(
% 0.14/0.38 spl7_4 <=> ! [X1] : ($true != vAPP($i,$o,cF,X1))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_4])])).
% 0.14/0.38 thf(f155,plain,(
% 0.14/0.38 spl7_2 | ~spl7_3 | ~spl7_5),
% 0.14/0.38 inference(avatar_contradiction_clause,[],[f154])).
% 0.14/0.38 thf(f154,plain,(
% 0.14/0.38 $false | (spl7_2 | ~spl7_3 | ~spl7_5)),
% 0.14/0.38 inference(subsumption_resolution,[],[f153,f43])).
% 0.14/0.38 thf(f43,plain,(
% 0.14/0.38 ($true != vAPP($i,$o,cJ,sK2)) | spl7_2),
% 0.14/0.38 inference(avatar_component_clause,[],[f41])).
% 0.14/0.38 thf(f41,plain,(
% 0.14/0.38 spl7_2 <=> ($true = vAPP($i,$o,cJ,sK2))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_2])])).
% 0.14/0.38 thf(f153,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cJ,sK2)) | (~spl7_3 | ~spl7_5)),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f152])).
% 0.14/0.38 thf(f152,plain,(
% 0.14/0.38 ($true != $true) | ($true = vAPP($i,$o,cJ,sK2)) | (~spl7_3 | ~spl7_5)),
% 0.14/0.38 inference(superposition,[],[f55,f48])).
% 0.14/0.38 thf(f48,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cG,sK2)) | ~spl7_3),
% 0.14/0.38 inference(avatar_component_clause,[],[f46])).
% 0.14/0.38 thf(f46,plain,(
% 0.14/0.38 spl7_3 <=> ($true = vAPP($i,$o,cG,sK2))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_3])])).
% 0.14/0.38 thf(f55,plain,(
% 0.14/0.38 ( ! [X2 : $i] : (($true != vAPP($i,$o,cG,X2)) | ($true = vAPP($i,$o,cJ,X2))) ) | ~spl7_5),
% 0.14/0.38 inference(avatar_component_clause,[],[f54])).
% 0.14/0.38 thf(f54,plain,(
% 0.14/0.38 spl7_5 <=> ! [X2] : (($true = vAPP($i,$o,cJ,X2)) | ($true != vAPP($i,$o,cG,X2)))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_5])])).
% 0.14/0.38 thf(f144,plain,(
% 0.14/0.38 spl7_9 | ~spl7_7 | ~spl7_12),
% 0.14/0.38 inference(avatar_split_clause,[],[f140,f83,f61,f69])).
% 0.14/0.38 thf(f69,plain,(
% 0.14/0.38 spl7_9 <=> ($true = vAPP($i,$o,cH,sK3))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_9])])).
% 0.14/0.38 thf(f61,plain,(
% 0.14/0.38 spl7_7 <=> ! [X1] : (($true = vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cF,X1)))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_7])])).
% 0.14/0.38 thf(f83,plain,(
% 0.14/0.38 spl7_12 <=> ($true = vAPP($i,$o,cF,sK3))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_12])])).
% 0.14/0.38 thf(f140,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cH,sK3)) | (~spl7_7 | ~spl7_12)),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f137])).
% 0.14/0.38 thf(f137,plain,(
% 0.14/0.38 ($true != $true) | ($true = vAPP($i,$o,cH,sK3)) | (~spl7_7 | ~spl7_12)),
% 0.14/0.38 inference(superposition,[],[f62,f85])).
% 0.14/0.38 thf(f85,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cF,sK3)) | ~spl7_12),
% 0.14/0.38 inference(avatar_component_clause,[],[f83])).
% 0.14/0.38 thf(f62,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (($true != vAPP($i,$o,cF,X1)) | ($true = vAPP($i,$o,cH,X1))) ) | ~spl7_7),
% 0.14/0.38 inference(avatar_component_clause,[],[f61])).
% 0.14/0.38 thf(f133,plain,(
% 0.14/0.38 spl7_10 | ~spl7_5 | ~spl7_11),
% 0.14/0.38 inference(avatar_split_clause,[],[f129,f78,f54,f73])).
% 0.14/0.38 thf(f73,plain,(
% 0.14/0.38 spl7_10 <=> ($true = vAPP($i,$o,cJ,sK4))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_10])])).
% 0.14/0.38 thf(f78,plain,(
% 0.14/0.38 spl7_11 <=> ($true = vAPP($i,$o,cG,sK4))),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_11])])).
% 0.14/0.38 thf(f129,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cJ,sK4)) | (~spl7_5 | ~spl7_11)),
% 0.14/0.38 inference(trivial_inequality_removal,[],[f126])).
% 0.14/0.38 thf(f126,plain,(
% 0.14/0.38 ($true != $true) | ($true = vAPP($i,$o,cJ,sK4)) | (~spl7_5 | ~spl7_11)),
% 0.14/0.38 inference(superposition,[],[f55,f80])).
% 0.14/0.38 thf(f80,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cG,sK4)) | ~spl7_11),
% 0.14/0.38 inference(avatar_component_clause,[],[f78])).
% 0.14/0.38 thf(f89,plain,(
% 0.14/0.38 spl7_7 | spl7_1),
% 0.14/0.38 inference(avatar_split_clause,[],[f33,f37,f61])).
% 0.14/0.38 thf(f37,plain,(
% 0.14/0.38 spl7_1 <=> ($true = sP1)),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_1])])).
% 0.14/0.38 thf(f33,plain,(
% 0.14/0.38 ( ! [X1 : $i] : (($true = sP1) | ($true = vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cF,X1))) )),
% 0.14/0.38 inference(cnf_transformation,[],[f23])).
% 0.14/0.38 thf(f88,plain,(
% 0.14/0.38 spl7_5 | spl7_1),
% 0.14/0.38 inference(avatar_split_clause,[],[f34,f37,f54])).
% 0.14/0.38 thf(f34,plain,(
% 0.14/0.38 ( ! [X0 : $i] : (($true = sP1) | (vAPP($i,$o,cJ,X0) = $true) | (vAPP($i,$o,cG,X0) != $true)) )),
% 0.14/0.38 inference(cnf_transformation,[],[f23])).
% 0.14/0.38 thf(f87,plain,(
% 0.14/0.38 spl7_8 | spl7_1),
% 0.14/0.38 inference(avatar_split_clause,[],[f35,f37,f65])).
% 0.14/0.38 thf(f65,plain,(
% 0.14/0.38 spl7_8 <=> ($true = sP0)),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl7_8])])).
% 0.14/0.38 thf(f35,plain,(
% 0.14/0.38 ($true = sP1) | ($true = sP0)),
% 0.14/0.38 inference(cnf_transformation,[],[f23])).
% 0.14/0.38 thf(f86,plain,(
% 0.14/0.38 ~spl7_8 | spl7_12),
% 0.14/0.38 inference(avatar_split_clause,[],[f28,f83,f65])).
% 0.14/0.38 thf(f28,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cF,sK3)) | ($true != sP0)),
% 0.14/0.38 inference(cnf_transformation,[],[f19])).
% 0.14/0.38 thf(f19,plain,(
% 0.14/0.38 ((($true != vAPP($i,$o,cJ,sK4)) | ($true != vAPP($i,$o,cH,sK3))) & ($true = vAPP($i,$o,cG,sK4)) & ($true = vAPP($i,$o,cF,sK3))) | ($true != sP0)),
% 0.14/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f17,f18])).
% 0.14/0.38 thf(f18,plain,(
% 0.14/0.38 ? [X0,X1] : (((vAPP($i,$o,cJ,X1) != $true) | (vAPP($i,$o,cH,X0) != $true)) & (vAPP($i,$o,cG,X1) = $true) & (vAPP($i,$o,cF,X0) = $true)) => ((($true != vAPP($i,$o,cJ,sK4)) | ($true != vAPP($i,$o,cH,sK3))) & ($true = vAPP($i,$o,cG,sK4)) & ($true = vAPP($i,$o,cF,sK3)))),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f17,plain,(
% 0.14/0.38 ? [X0,X1] : (((vAPP($i,$o,cJ,X1) != $true) | (vAPP($i,$o,cH,X0) != $true)) & (vAPP($i,$o,cG,X1) = $true) & (vAPP($i,$o,cF,X0) = $true)) | ($true != sP0)),
% 0.14/0.38 inference(rectify,[],[f16])).
% 0.14/0.38 thf(f16,plain,(
% 0.14/0.38 ? [X7,X8] : ((($true != vAPP($i,$o,cJ,X8)) | ($true != vAPP($i,$o,cH,X7))) & ($true = vAPP($i,$o,cG,X8)) & ($true = vAPP($i,$o,cF,X7))) | ($true != sP0)),
% 0.14/0.38 inference(nnf_transformation,[],[f9])).
% 0.14/0.38 thf(f81,plain,(
% 0.14/0.38 ~spl7_8 | spl7_11),
% 0.14/0.38 inference(avatar_split_clause,[],[f29,f78,f65])).
% 0.14/0.38 thf(f29,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cG,sK4)) | ($true != sP0)),
% 0.14/0.38 inference(cnf_transformation,[],[f19])).
% 0.14/0.38 thf(f76,plain,(
% 0.14/0.38 ~spl7_8 | ~spl7_9 | ~spl7_10),
% 0.14/0.38 inference(avatar_split_clause,[],[f30,f73,f69,f65])).
% 0.14/0.38 thf(f30,plain,(
% 0.14/0.38 ($true != vAPP($i,$o,cJ,sK4)) | ($true != vAPP($i,$o,cH,sK3)) | ($true != sP0)),
% 0.14/0.38 inference(cnf_transformation,[],[f19])).
% 0.14/0.38 thf(f56,plain,(
% 0.14/0.38 ~spl7_1 | spl7_4 | spl7_5),
% 0.14/0.38 inference(avatar_split_clause,[],[f25,f54,f51,f37])).
% 0.14/0.38 thf(f25,plain,(
% 0.14/0.38 ( ! [X2 : $i,X1 : $i] : (($true = vAPP($i,$o,cJ,X2)) | ($true != vAPP($i,$o,cG,X2)) | ($true != vAPP($i,$o,cF,X1)) | ($true != sP1)) )),
% 0.14/0.38 inference(cnf_transformation,[],[f15])).
% 0.14/0.38 thf(f15,plain,(
% 0.14/0.38 ((($true != vAPP($i,$o,cJ,sK2)) & ($true = vAPP($i,$o,cG,sK2))) & ! [X1,X2] : ((($true = vAPP($i,$o,cJ,X2)) & ($true = vAPP($i,$o,cH,X1))) | ($true != vAPP($i,$o,cG,X2)) | ($true != vAPP($i,$o,cF,X1)))) | ($true != sP1)),
% 0.14/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f13,f14])).
% 0.14/0.38 thf(f14,plain,(
% 0.14/0.38 ? [X0] : ((vAPP($i,$o,cJ,X0) != $true) & (vAPP($i,$o,cG,X0) = $true)) => (($true != vAPP($i,$o,cJ,sK2)) & ($true = vAPP($i,$o,cG,sK2)))),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f13,plain,(
% 0.14/0.38 (? [X0] : ((vAPP($i,$o,cJ,X0) != $true) & (vAPP($i,$o,cG,X0) = $true)) & ! [X1,X2] : ((($true = vAPP($i,$o,cJ,X2)) & ($true = vAPP($i,$o,cH,X1))) | ($true != vAPP($i,$o,cG,X2)) | ($true != vAPP($i,$o,cF,X1)))) | ($true != sP1)),
% 0.14/0.38 inference(rectify,[],[f12])).
% 0.14/0.38 thf(f12,plain,(
% 0.14/0.38 (? [X4] : (($true != vAPP($i,$o,cJ,X4)) & ($true = vAPP($i,$o,cG,X4))) & ! [X2,X3] : ((($true = vAPP($i,$o,cJ,X3)) & ($true = vAPP($i,$o,cH,X2))) | ($true != vAPP($i,$o,cG,X3)) | ($true != vAPP($i,$o,cF,X2)))) | ($true != sP1)),
% 0.14/0.38 inference(nnf_transformation,[],[f10])).
% 0.14/0.38 thf(f49,plain,(
% 0.14/0.38 ~spl7_1 | spl7_3),
% 0.14/0.38 inference(avatar_split_clause,[],[f26,f46,f37])).
% 0.14/0.38 thf(f26,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,cG,sK2)) | ($true != sP1)),
% 0.14/0.38 inference(cnf_transformation,[],[f15])).
% 0.14/0.38 thf(f44,plain,(
% 0.14/0.38 ~spl7_1 | ~spl7_2),
% 0.14/0.38 inference(avatar_split_clause,[],[f27,f41,f37])).
% 0.14/0.38 thf(f27,plain,(
% 0.14/0.38 ($true != vAPP($i,$o,cJ,sK2)) | ($true != sP1)),
% 0.14/0.38 inference(cnf_transformation,[],[f15])).
% 0.14/0.38 % SZS output end Proof for theBenchmark
% 0.14/0.38 % (3795)------------------------------
% 0.14/0.38 % (3795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (3795)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (3795)Memory used [KB]: 857
% 0.14/0.38 % (3795)Time elapsed: 0.008 s
% 0.14/0.38 % (3795)Instructions burned: 10 (million)
% 0.14/0.38 % (3789)Success in time 0.012 s
%------------------------------------------------------------------------------