TSTP Solution File: COM021+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : COM021+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 : 600s
% DateTime : Fri Jul 15 01:27:51 EDT 2022
% Result : Theorem 228.98s 220.52s
% Output : Proof 228.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM021+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 16:59:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 228.98/220.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 228.99/220.53 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 228.99/220.53
% 228.99/220.53 %-----------------------------------------------------
% 228.99/220.53 fof(m__715, hypothesis, ! [_118995, _118998, _119001] : (aElement0(_118995) & aElement0(_118998) & aElement0(_119001) & (_118995 = _118998 | aReductOfIn0(_118998, _118995, xR) | ? [_119049] : (aElement0(_119049) & aReductOfIn0(_119049, _118995, xR) & sdtmndtplgtdt0(_119049, xR, _118998)) | sdtmndtplgtdt0(_118995, xR, _118998) | sdtmndtasgtdt0(_118995, xR, _118998)) & (_118995 = _119001 | aReductOfIn0(_119001, _118995, xR) | ? [_119049] : (aElement0(_119049) & aReductOfIn0(_119049, _118995, xR) & sdtmndtplgtdt0(_119049, xR, _119001)) | sdtmndtplgtdt0(_118995, xR, _119001) | sdtmndtasgtdt0(_118995, xR, _119001)) => iLess0(_118995, xa) => ? [_119049] : (aElement0(_119049) & (_118998 = _119049 | (aReductOfIn0(_119049, _118998, xR) | ? [_119244] : (aElement0(_119244) & aReductOfIn0(_119244, _118998, xR) & sdtmndtplgtdt0(_119244, xR, _119049))) & sdtmndtplgtdt0(_118998, xR, _119049)) & sdtmndtasgtdt0(_118998, xR, _119049) & (_119001 = _119049 | (aReductOfIn0(_119049, _119001, xR) | ? [_119244] : (aElement0(_119244) & aReductOfIn0(_119244, _119001, xR) & sdtmndtplgtdt0(_119244, xR, _119049))) & sdtmndtplgtdt0(_119001, xR, _119049)) & sdtmndtasgtdt0(_119001, xR, _119049))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__715)).
% 228.99/220.53 fof(m__, conjecture, xb = xd | aReductOfIn0(xd, xb, xR) | ? [_120254] : (aElement0(_120254) & aReductOfIn0(_120254, xb, xR) & sdtmndtplgtdt0(_120254, xR, xd)) | sdtmndtplgtdt0(xb, xR, xd) | sdtmndtasgtdt0(xb, xR, xd), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 228.99/220.53 fof(mTermin, definition, ! [_120550] : (aRewritingSystem0(_120550) => (isTerminating0(_120550) <=> ! [_120572, _120575] : (aElement0(_120572) & aElement0(_120575) => sdtmndtplgtdt0(_120572, _120550, _120575) => iLess0(_120575, _120572)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTermin)).
% 228.99/220.53 fof(m__755, hypothesis, aElement0(xu) & aReductOfIn0(xu, xa, xR) & (xu = xb | (aReductOfIn0(xb, xu, xR) | ? [_120879] : (aElement0(_120879) & aReductOfIn0(_120879, xu, xR) & sdtmndtplgtdt0(_120879, xR, xb))) & sdtmndtplgtdt0(xu, xR, xb)) & sdtmndtasgtdt0(xu, xR, xb), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__755)).
% 228.99/220.53 fof(m__656_01, hypothesis, ! [_121229, _121232, _121235] : (aElement0(_121229) & aElement0(_121232) & aElement0(_121235) & aReductOfIn0(_121232, _121229, xR) & aReductOfIn0(_121235, _121229, xR) => ? [_121290] : (aElement0(_121290) & (_121232 = _121290 | (aReductOfIn0(_121290, _121232, xR) | ? [_121324] : (aElement0(_121324) & aReductOfIn0(_121324, _121232, xR) & sdtmndtplgtdt0(_121324, xR, _121290))) & sdtmndtplgtdt0(_121232, xR, _121290)) & sdtmndtasgtdt0(_121232, xR, _121290) & (_121235 = _121290 | (aReductOfIn0(_121290, _121235, xR) | ? [_121324] : (aElement0(_121324) & aReductOfIn0(_121324, _121235, xR) & sdtmndtplgtdt0(_121324, xR, _121290))) & sdtmndtplgtdt0(_121235, xR, _121290)) & sdtmndtasgtdt0(_121235, xR, _121290))) & isLocallyConfluent0(xR) & ! [_121229, _121232] : (aElement0(_121229) & aElement0(_121232) => aReductOfIn0(_121232, _121229, xR) | ? [_121235] : (aElement0(_121235) & aReductOfIn0(_121235, _121229, xR) & sdtmndtplgtdt0(_121235, xR, _121232)) | sdtmndtplgtdt0(_121229, xR, _121232) => iLess0(_121232, _121229)) & isTerminating0(xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656_01)).
% 228.99/220.53 fof(m__818, hypothesis, aElement0(xd) & (xw = xd | (aReductOfIn0(xd, xw, xR) | ? [_122402] : (aElement0(_122402) & aReductOfIn0(_122402, xw, xR) & sdtmndtplgtdt0(_122402, xR, xd))) & sdtmndtplgtdt0(xw, xR, xd)) & sdtmndtasgtdt0(xw, xR, xd) & ~ ? [_122402] : aReductOfIn0(_122402, xd, xR) & aNormalFormOfIn0(xd, xw, xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__818)).
% 228.99/220.53 fof(mTCRDef, definition, ! [_122803, _122806, _122809] : (aElement0(_122803) & aRewritingSystem0(_122806) & aElement0(_122809) => (sdtmndtasgtdt0(_122803, _122806, _122809) <=> _122803 = _122809 | sdtmndtplgtdt0(_122803, _122806, _122809))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCRDef)).
% 228.99/220.53 fof(m__731, hypothesis, aElement0(xa) & aElement0(xb) & aElement0(xc), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__731)).
% 228.99/220.53 fof(mTCDef, definition, ! [_123161, _123164, _123167] : (aElement0(_123161) & aRewritingSystem0(_123164) & aElement0(_123167) => (sdtmndtplgtdt0(_123161, _123164, _123167) <=> aReductOfIn0(_123167, _123161, _123164) | ? [_123222] : (aElement0(_123222) & aReductOfIn0(_123222, _123161, _123164) & sdtmndtplgtdt0(_123222, _123164, _123167)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCDef)).
% 228.99/220.53 fof(m__656, hypothesis, aRewritingSystem0(xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656)).
% 228.99/220.53 fof(m__799, hypothesis, aElement0(xw) & (xu = xw | (aReductOfIn0(xw, xu, xR) | ? [_123703] : (aElement0(_123703) & aReductOfIn0(_123703, xu, xR) & sdtmndtplgtdt0(_123703, xR, xw))) & sdtmndtplgtdt0(xu, xR, xw)) & sdtmndtasgtdt0(xu, xR, xw) & (xv = xw | (aReductOfIn0(xw, xv, xR) | ? [_123703] : (aElement0(_123703) & aReductOfIn0(_123703, xv, xR) & sdtmndtplgtdt0(_123703, xR, xw))) & sdtmndtplgtdt0(xv, xR, xw)) & sdtmndtasgtdt0(xv, xR, xw), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__799)).
% 228.99/220.53 fof(mTCRTrans, axiom, ! [_124248, _124251, _124254, _124257] : (aElement0(_124248) & aRewritingSystem0(_124251) & aElement0(_124254) & aElement0(_124257) => sdtmndtasgtdt0(_124248, _124251, _124254) & sdtmndtasgtdt0(_124254, _124251, _124257) => sdtmndtasgtdt0(_124248, _124251, _124257)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCRTrans)).
% 228.99/220.53
% 228.99/220.53 cnf(1, plain, [-(39 ^ [_48880, _48608, _48335]), sdtmndtasgtdt0(_48335, xR, _48880)], clausify(m__715)).
% 228.99/220.53 cnf(2, plain, [xb = xd], clausify(m__)).
% 228.99/220.53 cnf(3, plain, [-(sdtmndtplgtdt0(_32601, _32768, _32931)), sdtmndtplgtdt0(_32516, _32685, _32850), _32516 = _32601, _32685 = _32768, _32850 = _32931], theory(equality)).
% 228.99/220.53 cnf(4, plain, [-(24 ^ [_42157]), isTerminating0(_42157), aElement0(_42364), aElement0(_42304), sdtmndtplgtdt0(_42304, _42157, _42364), -(iLess0(_42364, _42304))], clausify(mTermin)).
% 228.99/220.53 cnf(5, plain, [-(47 ^ [_48880, _48608, _48335]), -(_48880 = 40 ^ [_48880, _48608, _48335]), 46 ^ [_48880, _48608, _48335]], clausify(m__715)).
% 228.99/220.53 cnf(6, plain, [-(sdtmndtasgtdt0(xu, xR, xb))], clausify(m__755)).
% 228.99/220.53 cnf(7, plain, [-(38 ^ [_48880, _48608, _48335]), sdtmndtplgtdt0(_48335, xR, _48608)], clausify(m__715)).
% 228.99/220.53 cnf(8, plain, [-(47 ^ [_48880, _48608, _48335]), -(_48608 = 40 ^ [_48880, _48608, _48335]), 43 ^ [_48880, _48608, _48335]], clausify(m__715)).
% 228.99/220.53 cnf(9, plain, [aElement0(_47133), aElement0(_47046), -(iLess0(_47133, _47046)), 37 ^ [_47133, _47046]], clausify(m__656_01)).
% 228.99/220.53 cnf(10, plain, [-(37 ^ [_47133, _47046]), aReductOfIn0(_47133, _47046, xR)], clausify(m__656_01)).
% 228.99/220.53 cnf(11, plain, [aReductOfIn0(_58274, xd, xR)], clausify(m__818)).
% 228.99/220.53 cnf(12, plain, [-(6 ^ [_37934, _37862, _37789]), sdtmndtasgtdt0(_37789, _37862, _37934), -(_37789 = _37934), -(sdtmndtplgtdt0(_37789, _37862, _37934))], clausify(mTCRDef)).
% 228.99/220.53 cnf(13, plain, [39 ^ [_48880, _48608, _48335], 38 ^ [_48880, _48608, _48335], aElement0(_48880), aElement0(_48608), aElement0(_48335), iLess0(_48335, xa), 47 ^ [_48880, _48608, _48335]], clausify(m__715)).
% 228.99/220.53 cnf(14, plain, [-(isTerminating0(xR))], clausify(m__656_01)).
% 228.99/220.53 cnf(15, plain, [-(aElement0(xa))], clausify(m__731)).
% 228.99/220.53 cnf(16, plain, [aElement0(_35914), aRewritingSystem0(_35824), aElement0(_35733), 4 ^ [_35914, _35824, _35733]], clausify(mTCDef)).
% 228.99/220.53 cnf(17, plain, [aRewritingSystem0(_42157), 24 ^ [_42157]], clausify(mTermin)).
% 228.99/220.53 cnf(18, plain, [-(aRewritingSystem0(xR))], clausify(m__656)).
% 228.99/220.53 cnf(19, plain, [-(42 ^ [_48880, _48608, _48335]), -(aReductOfIn0(41 ^ [_48880, _48608, _48335], _48608, xR))], clausify(m__715)).
% 228.99/220.53 cnf(20, plain, [-(43 ^ [_48880, _48608, _48335]), -(aReductOfIn0(40 ^ [_48880, _48608, _48335], _48608, xR)), 42 ^ [_48880, _48608, _48335]], clausify(m__715)).
% 228.99/220.53 cnf(21, plain, [-(38 ^ [_48880, _48608, _48335]), _48335 = _48608], clausify(m__715)).
% 228.99/220.53 cnf(22, plain, [_26427 = _26472, -(_26472 = _26427)], theory(equality)).
% 228.99/220.53 cnf(23, plain, [-(3 ^ [_35914, _35824, _35733]), aReductOfIn0(_35914, _35733, _35824)], clausify(mTCDef)).
% 228.99/220.53 cnf(24, plain, [-(aElement0(xu))], clausify(m__755)).
% 228.99/220.53 cnf(25, plain, [-(aElement0(xw))], clausify(m__799)).
% 228.99/220.53 cnf(26, plain, [sdtmndtasgtdt0(_38713, _38630, _38795), sdtmndtasgtdt0(_38546, _38630, _38713), -(sdtmndtasgtdt0(_38546, _38630, _38795)), aElement0(_38546), aRewritingSystem0(_38630), aElement0(_38713), aElement0(_38795)], clausify(mTCRTrans)).
% 228.99/220.53 cnf(27, plain, [-(aElement0(xb))], clausify(m__731)).
% 228.99/220.53 cnf(28, plain, [-(sdtmndtasgtdt0(xw, xR, xd))], clausify(m__818)).
% 228.99/220.53 cnf(29, plain, [-(_26706 = _26817), _26706 = _26762, _26762 = _26817], theory(equality)).
% 228.99/220.53 cnf(30, plain, [-(4 ^ [_35914, _35824, _35733]), -(sdtmndtplgtdt0(_35733, _35824, _35914)), 3 ^ [_35914, _35824, _35733]], clausify(mTCDef)).
% 228.99/220.53 cnf(31, plain, [-(aElement0(xd))], clausify(m__818)).
% 228.99/220.53 cnf(32, plain, [sdtmndtplgtdt0(xb, xR, xd)], clausify(m__)).
% 228.99/220.53 cnf(33, plain, [-(sdtmndtasgtdt0(xu, xR, xw))], clausify(m__799)).
% 228.99/220.53 cnf(34, plain, [-(46 ^ [_48880, _48608, _48335]), -(sdtmndtplgtdt0(_48880, xR, 40 ^ [_48880, _48608, _48335]))], clausify(m__715)).
% 228.99/220.53 cnf(35, plain, [-(aReductOfIn0(xu, xa, xR))], clausify(m__755)).
% 228.99/220.53 cnf(36, plain, [aElement0(_37934), aRewritingSystem0(_37862), aElement0(_37789), 6 ^ [_37934, _37862, _37789]], clausify(mTCRDef)).
% 228.99/220.53 cnf(37, plain, [-(_26274 = _26274)], theory(equality)).
% 228.99/220.53 cnf(38, plain, [-(38 ^ [_48880, _48608, _48335]), sdtmndtasgtdt0(_48335, xR, _48608)], clausify(m__715)).
% 228.99/220.53
% 228.99/220.53 cnf('1',plain,[xb = xd],start(2)).
% 228.99/220.53 cnf('1.1',plain,[-(xb = xd), xd = xb],extension(22,bind([[_26427, _26472], [xd, xb]]))).
% 228.99/220.53 cnf('1.1.1',plain,[-(xd = xb), xd = 40 ^ [xb, xd, xu], 40 ^ [xb, xd, xu] = xb],extension(29,bind([[_26706, _26762, _26817], [xd, 40 ^ [xb, xd, xu], xb]]))).
% 228.99/220.53 cnf('1.1.1.1',plain,[-(xd = 40 ^ [xb, xd, xu]), -(47 ^ [xb, xd, xu]), 43 ^ [xb, xd, xu]],extension(8,bind([[_48880, _48608, _48335], [xb, xd, xu]]))).
% 228.99/220.53 cnf('1.1.1.1.1',plain,[47 ^ [xb, xd, xu], 39 ^ [xb, xd, xu], 38 ^ [xb, xd, xu], aElement0(xb), aElement0(xd), aElement0(xu), iLess0(xu, xa)],extension(13,bind([[_48880, _48608, _48335], [xb, xd, xu]]))).
% 228.99/220.53 cnf('1.1.1.1.1.1',plain,[-(39 ^ [xb, xd, xu]), sdtmndtasgtdt0(xu, xR, xb)],extension(1,bind([[_48608, _48335, _48880], [xd, xu, xb]]))).
% 228.99/220.53 cnf('1.1.1.1.1.1.1',plain,[-(sdtmndtasgtdt0(xu, xR, xb))],extension(6)).
% 228.99/220.53 cnf('1.1.1.1.1.2',plain,[-(38 ^ [xb, xd, xu]), sdtmndtplgtdt0(xu, xR, xd)],extension(7,bind([[_48880, _48335, _48608], [xb, xu, xd]]))).
% 228.99/220.53 cnf('1.1.1.1.1.2.1',plain,[-(sdtmndtplgtdt0(xu, xR, xd)), -(6 ^ [xd, xR, xu]), sdtmndtasgtdt0(xu, xR, xd), -(xu = xd)],extension(12,bind([[_37862, _37789, _37934], [xR, xu, xd]]))).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.1',plain,[6 ^ [xd, xR, xu], aElement0(xd), aRewritingSystem0(xR), aElement0(xu)],extension(36,bind([[_37934, _37862, _37789], [xd, xR, xu]]))).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.1.1',plain,[-(aElement0(xd))],extension(31)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.1.2',plain,[-(aRewritingSystem0(xR))],extension(18)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.1.3',plain,[-(aElement0(xu))],extension(24)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.2',plain,[-(sdtmndtasgtdt0(xu, xR, xd)), sdtmndtasgtdt0(xw, xR, xd), sdtmndtasgtdt0(xu, xR, xw), aElement0(xu), aRewritingSystem0(xR), aElement0(xw), aElement0(xd)],extension(26,bind([[_38546, _38630, _38713, _38795], [xu, xR, xw, xd]]))).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.2.1',plain,[-(sdtmndtasgtdt0(xw, xR, xd))],extension(28)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.2.2',plain,[-(sdtmndtasgtdt0(xu, xR, xw))],extension(33)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.2.3',plain,[-(aElement0(xu))],extension(24)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.2.4',plain,[-(aRewritingSystem0(xR))],extension(18)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.2.5',plain,[-(aElement0(xw))],extension(25)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.2.6',plain,[-(aElement0(xd))],extension(31)).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.3',plain,[xu = xd, -(38 ^ [xb, xd, xu])],extension(21,bind([[_48880, _48608, _48335], [xb, xd, xu]]))).
% 228.99/220.53 cnf('1.1.1.1.1.2.1.3.1',plain,[38 ^ [xb, xd, xu]],reduction('1.1.1.1.1')).
% 228.99/220.53 cnf('1.1.1.1.1.3',plain,[-(aElement0(xb))],extension(27)).
% 228.99/220.53 cnf('1.1.1.1.1.4',plain,[-(aElement0(xd))],extension(31)).
% 228.99/220.53 cnf('1.1.1.1.1.5',plain,[-(aElement0(xu))],extension(24)).
% 228.99/220.53 cnf('1.1.1.1.1.6',plain,[-(iLess0(xu, xa)), -(24 ^ [xR]), isTerminating0(xR), aElement0(xu), aElement0(xa), sdtmndtplgtdt0(xa, xR, xu)],extension(4,bind([[_42304, _42157, _42364], [xa, xR, xu]]))).
% 228.99/220.53 cnf('1.1.1.1.1.6.1',plain,[24 ^ [xR], aRewritingSystem0(xR)],extension(17,bind([[_42157], [xR]]))).
% 228.99/220.53 cnf('1.1.1.1.1.6.1.1',plain,[-(aRewritingSystem0(xR))],extension(18)).
% 228.99/220.53 cnf('1.1.1.1.1.6.2',plain,[-(isTerminating0(xR))],extension(14)).
% 228.99/220.53 cnf('1.1.1.1.1.6.3',plain,[-(aElement0(xu))],extension(24)).
% 228.99/220.53 cnf('1.1.1.1.1.6.4',plain,[-(aElement0(xa))],extension(15)).
% 228.99/220.53 cnf('1.1.1.1.1.6.5',plain,[-(sdtmndtplgtdt0(xa, xR, xu)), -(4 ^ [xu, xR, xa]), 3 ^ [xu, xR, xa]],extension(30,bind([[_35914, _35824, _35733], [xu, xR, xa]]))).
% 228.99/220.53 cnf('1.1.1.1.1.6.5.1',plain,[4 ^ [xu, xR, xa], aElement0(xu), aRewritingSystem0(xR), aElement0(xa)],extension(16,bind([[_35914, _35824, _35733], [xu, xR, xa]]))).
% 228.99/220.53 cnf('1.1.1.1.1.6.5.1.1',plain,[-(aElement0(xu))],extension(24)).
% 228.99/220.53 cnf('1.1.1.1.1.6.5.1.2',plain,[-(aRewritingSystem0(xR))],extension(18)).
% 228.99/220.53 cnf('1.1.1.1.1.6.5.1.3',plain,[-(aElement0(xa))],extension(15)).
% 228.99/220.53 cnf('1.1.1.1.1.6.5.2',plain,[-(3 ^ [xu, xR, xa]), aReductOfIn0(xu, xa, xR)],extension(23,bind([[_35914, _35733, _35824], [xu, xa, xR]]))).
% 228.99/220.53 cnf('1.1.1.1.1.6.5.2.1',plain,[-(aReductOfIn0(xu, xa, xR))],extension(35)).
% 228.99/220.53 cnf('1.1.1.1.2',plain,[-(43 ^ [xb, xd, xu]), -(aReductOfIn0(40 ^ [xb, xd, xu], xd, xR)), 42 ^ [xb, xd, xu]],extension(20,bind([[_48880, _48608, _48335], [xb, xd, xu]]))).
% 228.99/220.53 cnf('1.1.1.1.2.1',plain,[aReductOfIn0(40 ^ [xb, xd, xu], xd, xR)],extension(11,bind([[_58274], [40 ^ [xb, xd, xu]]]))).
% 228.99/220.53 cnf('1.1.1.1.2.2',plain,[-(42 ^ [xb, xd, xu]), -(aReductOfIn0(41 ^ [xb, xd, xu], xd, xR))],extension(19,bind([[_48880, _48335, _48608], [xb, xu, xd]]))).
% 228.99/220.53 cnf('1.1.1.1.2.2.1',plain,[aReductOfIn0(41 ^ [xb, xd, xu], xd, xR)],extension(11,bind([[_58274], [41 ^ [xb, xd, xu]]]))).
% 228.99/220.53 cnf('1.1.1.2',plain,[-(40 ^ [xb, xd, xu] = xb), xb = 40 ^ [xb, xd, xu]],extension(22,bind([[_26427, _26472], [xb, 40 ^ [xb, xd, xu]]]))).
% 228.99/220.53 cnf('1.1.1.2.1',plain,[-(xb = 40 ^ [xb, xd, xu]), -(47 ^ [xb, xd, xu]), 46 ^ [xb, xd, xu]],extension(5,bind([[_48880, _48608, _48335], [xb, xd, xu]]))).
% 228.99/220.53 cnf('1.1.1.2.1.1',plain,[47 ^ [xb, xd, xu], 39 ^ [xb, xd, xu], 38 ^ [xb, xd, xu], aElement0(xb), aElement0(xd), aElement0(xu), iLess0(xu, xa)],extension(13,bind([[_48880, _48608, _48335], [xb, xd, xu]]))).
% 228.99/220.53 cnf('1.1.1.2.1.1.1',plain,[-(39 ^ [xb, xd, xu]), sdtmndtasgtdt0(xu, xR, xb)],extension(1,bind([[_48608, _48335, _48880], [xd, xu, xb]]))).
% 228.99/220.53 cnf('1.1.1.2.1.1.1.1',plain,[-(sdtmndtasgtdt0(xu, xR, xb))],extension(6)).
% 228.99/220.53 cnf('1.1.1.2.1.1.2',plain,[-(38 ^ [xb, xd, xu]), sdtmndtasgtdt0(xu, xR, xd)],extension(38,bind([[_48880, _48335, _48608], [xb, xu, xd]]))).
% 228.99/220.53 cnf('1.1.1.2.1.1.2.1',plain,[-(sdtmndtasgtdt0(xu, xR, xd)), sdtmndtasgtdt0(xw, xR, xd), sdtmndtasgtdt0(xu, xR, xw), aElement0(xu), aRewritingSystem0(xR), aElement0(xw), aElement0(xd)],extension(26,bind([[_38546, _38630, _38713, _38795], [xu, xR, xw, xd]]))).
% 228.99/220.53 cnf('1.1.1.2.1.1.2.1.1',plain,[-(sdtmndtasgtdt0(xw, xR, xd))],extension(28)).
% 228.99/220.53 cnf('1.1.1.2.1.1.2.1.2',plain,[-(sdtmndtasgtdt0(xu, xR, xw))],extension(33)).
% 228.99/220.53 cnf('1.1.1.2.1.1.2.1.3',plain,[-(aElement0(xu))],extension(24)).
% 228.99/220.53 cnf('1.1.1.2.1.1.2.1.4',plain,[-(aRewritingSystem0(xR))],extension(18)).
% 228.99/220.53 cnf('1.1.1.2.1.1.2.1.5',plain,[-(aElement0(xw))],extension(25)).
% 228.99/220.53 cnf('1.1.1.2.1.1.2.1.6',plain,[-(aElement0(xd))],extension(31)).
% 228.99/220.53 cnf('1.1.1.2.1.1.3',plain,[-(aElement0(xb))],extension(27)).
% 228.99/220.53 cnf('1.1.1.2.1.1.4',plain,[-(aElement0(xd))],extension(31)).
% 228.99/220.53 cnf('1.1.1.2.1.1.5',plain,[-(aElement0(xu))],extension(24)).
% 228.99/220.53 cnf('1.1.1.2.1.1.6',plain,[-(iLess0(xu, xa)), aElement0(xu), aElement0(xa), 37 ^ [xu, xa]],extension(9,bind([[_47133, _47046], [xu, xa]]))).
% 228.99/220.53 cnf('1.1.1.2.1.1.6.1',plain,[-(aElement0(xu))],extension(24)).
% 228.99/220.53 cnf('1.1.1.2.1.1.6.2',plain,[-(aElement0(xa))],extension(15)).
% 228.99/220.53 cnf('1.1.1.2.1.1.6.3',plain,[-(37 ^ [xu, xa]), aReductOfIn0(xu, xa, xR)],extension(10,bind([[_47133, _47046], [xu, xa]]))).
% 228.99/220.53 cnf('1.1.1.2.1.1.6.3.1',plain,[-(aReductOfIn0(xu, xa, xR))],extension(35)).
% 228.99/220.53 cnf('1.1.1.2.1.2',plain,[-(46 ^ [xb, xd, xu]), -(sdtmndtplgtdt0(xb, xR, 40 ^ [xb, xd, xu]))],extension(34,bind([[_48880, _48608, _48335], [xb, xd, xu]]))).
% 228.99/220.53 cnf('1.1.1.2.1.2.1',plain,[sdtmndtplgtdt0(xb, xR, 40 ^ [xb, xd, xu]), -(sdtmndtplgtdt0(xb, xR, xd)), xb = xb, xR = xR, 40 ^ [xb, xd, xu] = xd],extension(3,bind([[_32516, _32601, _32685, _32768, _32850, _32931], [xb, xb, xR, xR, 40 ^ [xb, xd, xu], xd]]))).
% 228.99/220.53 cnf('1.1.1.2.1.2.1.1',plain,[sdtmndtplgtdt0(xb, xR, xd)],extension(32)).
% 228.99/220.53 cnf('1.1.1.2.1.2.1.2',plain,[-(xb = xb)],extension(37,bind([[_26274], [xb]]))).
% 228.99/220.53 cnf('1.1.1.2.1.2.1.3',plain,[-(xR = xR)],extension(37,bind([[_26274], [xR]]))).
% 228.99/220.53 cnf('1.1.1.2.1.2.1.4',plain,[-(40 ^ [xb, xd, xu] = xd), xd = 40 ^ [xb, xd, xu]],extension(22,bind([[_26427, _26472], [xd, 40 ^ [xb, xd, xu]]]))).
% 228.99/220.53 cnf('1.1.1.2.1.2.1.4.1',plain,[-(xd = 40 ^ [xb, xd, xu])],lemmata('1.1.1')).
% 228.99/220.53 %-----------------------------------------------------
% 228.99/220.54
% 228.99/220.54 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------