TSTP Solution File: RNG112+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG112+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 : Mon Jul 18 20:33:51 EDT 2022
% Result : Theorem 180.92s 174.53s
% Output : Proof 180.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG112+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 05:24:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 180.92/174.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 180.92/174.53 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 180.92/174.54
% 180.92/174.54 %-----------------------------------------------------
% 180.92/174.54 fof(m__, conjecture, ? [_163837] : ((? [_163845, _163848] : (aElementOf0(_163845, slsdtgt0(xa)) & aElementOf0(_163848, slsdtgt0(xb)) & sdtpldt0(_163845, _163848) = _163837) | aElementOf0(_163837, xI)) & (! _163837) = sz00 & ! [_163845] : (? [_163848, _163924] : (aElementOf0(_163848, slsdtgt0(xa)) & aElementOf0(_163924, slsdtgt0(xb)) & sdtpldt0(_163848, _163924) = _163845) & aElementOf0(_163845, xI) & (! _163845) = sz00 => ~ iLess0(sbrdtbr0(_163845), sbrdtbr0(_163837)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 180.92/174.54 fof(m__2351, hypothesis, ! [_164449] : ((? [_164457, _164460] : (aElementOf0(_164457, slsdtgt0(xa)) & aElementOf0(_164460, slsdtgt0(xb)) & sdtpldt0(_164457, _164460) = _164449) | aElementOf0(_164449, xI)) & (! _164449) = sz00 => ? [_164457] : (? [_164460, _164536] : (aElementOf0(_164460, slsdtgt0(xa)) & aElementOf0(_164536, slsdtgt0(xb)) & sdtpldt0(_164460, _164536) = _164457) & aElementOf0(_164457, xI) & (! _164457) = sz00 & ! [_164460] : ((? [_164536, _164612] : (aElementOf0(_164536, slsdtgt0(xa)) & aElementOf0(_164612, slsdtgt0(xb)) & sdtpldt0(_164536, _164612) = _164460) | aElementOf0(_164460, xI)) & (! _164460) = sz00 => ~ iLess0(sbrdtbr0(_164460), sbrdtbr0(_164457))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2351)).
% 180.92/174.54 fof(m__2228, hypothesis, ? [_165349] : (! [_165357] : (aElementOf0(_165357, slsdtgt0(xa)) <=> ? [_165379] : (aElement0(_165379) & sdtasdt0(xa, _165379) = _165357)) & ! [_165357] : (aElementOf0(_165357, slsdtgt0(xb)) <=> ? [_165379] : (aElement0(_165379) & sdtasdt0(xb, _165379) = _165357)) & ? [_165357, _165379] : (aElementOf0(_165357, slsdtgt0(xa)) & aElementOf0(_165379, slsdtgt0(xb)) & sdtpldt0(_165357, _165379) = _165349) & aElementOf0(_165349, sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))) & (! _165349) = sz00), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2228)).
% 180.92/174.54
% 180.92/174.54 cnf(1, plain, [-(40 ^ [_76355]), aElementOf0(_76355, xI)], clausify(m__)).
% 180.92/174.54 cnf(2, plain, [sdtpldt0(_73503, _73562) = _73287, aElementOf0(_73562, slsdtgt0(xb)), aElementOf0(_73503, slsdtgt0(xa)), -(_73287 = sz00), -(sdtpldt0(38 ^ [_73287], 39 ^ [_73287]) = 37 ^ [_73287])], clausify(m__2351)).
% 180.92/174.54 cnf(3, plain, [sdtpldt0(_73503, _73562) = _73287, aElementOf0(_73562, slsdtgt0(xb)), aElementOf0(_73503, slsdtgt0(xa)), -(_73287 = sz00), 37 ^ [_73287] = sz00], clausify(m__2351)).
% 180.92/174.54 cnf(4, plain, [sdtpldt0(_73503, _73562) = _73287, aElementOf0(_73562, slsdtgt0(xb)), aElementOf0(_73503, slsdtgt0(xa)), -(_73287 = sz00), -(aElementOf0(37 ^ [_73287], xI))], clausify(m__2351)).
% 180.92/174.54 cnf(5, plain, [-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])], clausify(m__2228)).
% 180.92/174.54 cnf(6, plain, [-(aElementOf0(36 ^ [], slsdtgt0(xb)))], clausify(m__2228)).
% 180.92/174.54 cnf(7, plain, [-(aElementOf0(35 ^ [], slsdtgt0(xa)))], clausify(m__2228)).
% 180.92/174.54 cnf(8, plain, [sdtpldt0(_73503, _73562) = _73287, aElementOf0(_73562, slsdtgt0(xb)), aElementOf0(_73503, slsdtgt0(xa)), -(_73287 = sz00), -(aElementOf0(38 ^ [_73287], slsdtgt0(xa)))], clausify(m__2351)).
% 180.92/174.54 cnf(9, plain, [32 ^ [] = sz00], clausify(m__2228)).
% 180.92/174.54 cnf(10, plain, [aElementOf0(_73287, xI), -(_73287 = sz00), iLess0(sbrdtbr0(_86148), sbrdtbr0(37 ^ [_73287])), -(_86148 = sz00), aElementOf0(_86148, xI)], clausify(m__2351)).
% 180.92/174.54 cnf(11, plain, [-(44 ^ [_76355]), 41 ^ [_76355] = sz00], clausify(m__)).
% 180.92/174.54 cnf(12, plain, [-(44 ^ [_76355]), -(aElementOf0(41 ^ [_76355], xI))], clausify(m__)).
% 180.92/174.54 cnf(13, plain, [44 ^ [_76355], -(_76355 = sz00), 40 ^ [_76355]], clausify(m__)).
% 180.92/174.54 cnf(14, plain, [-(44 ^ [_76355]), -(iLess0(sbrdtbr0(41 ^ [_76355]), sbrdtbr0(_76355)))], clausify(m__)).
% 180.92/174.54 cnf(15, plain, [sdtpldt0(_73503, _73562) = _73287, aElementOf0(_73562, slsdtgt0(xb)), aElementOf0(_73503, slsdtgt0(xa)), -(_73287 = sz00), -(aElementOf0(39 ^ [_73287], slsdtgt0(xb)))], clausify(m__2351)).
% 180.92/174.54
% 180.92/174.54 cnf('1',plain,[44 ^ [37 ^ [37 ^ [32 ^ []]]], -(37 ^ [37 ^ [32 ^ []]] = sz00), 40 ^ [37 ^ [37 ^ [32 ^ []]]]],start(13,bind([[_76355], [37 ^ [37 ^ [32 ^ []]]]]))).
% 180.92/174.54 cnf('1.1',plain,[-(44 ^ [37 ^ [37 ^ [32 ^ []]]]), 41 ^ [37 ^ [37 ^ [32 ^ []]]] = sz00],extension(11,bind([[_76355], [37 ^ [37 ^ [32 ^ []]]]]))).
% 180.92/174.54 cnf('1.1.1',plain,[-(41 ^ [37 ^ [37 ^ [32 ^ []]]] = sz00), aElementOf0(37 ^ [32 ^ []], xI), -(37 ^ [32 ^ []] = sz00), iLess0(sbrdtbr0(41 ^ [37 ^ [37 ^ [32 ^ []]]]), sbrdtbr0(37 ^ [37 ^ [32 ^ []]])), aElementOf0(41 ^ [37 ^ [37 ^ [32 ^ []]]], xI)],extension(10,bind([[_73287, _86148], [37 ^ [32 ^ []], 41 ^ [37 ^ [37 ^ [32 ^ []]]]]]))).
% 180.92/174.54 cnf('1.1.1.1',plain,[-(aElementOf0(37 ^ [32 ^ []], xI)), sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(4,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.1.1.1.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.1.1.1.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.1.1.1.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.1.1.1.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.1.1.2',plain,[37 ^ [32 ^ []] = sz00, sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(3,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.1.1.2.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.1.1.2.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.1.1.2.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.1.1.2.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.1.1.3',plain,[-(iLess0(sbrdtbr0(41 ^ [37 ^ [37 ^ [32 ^ []]]]), sbrdtbr0(37 ^ [37 ^ [32 ^ []]]))), -(44 ^ [37 ^ [37 ^ [32 ^ []]]])],extension(14,bind([[_76355], [37 ^ [37 ^ [32 ^ []]]]]))).
% 180.92/174.54 cnf('1.1.1.3.1',plain,[44 ^ [37 ^ [37 ^ [32 ^ []]]]],reduction('1')).
% 180.92/174.54 cnf('1.1.1.4',plain,[-(aElementOf0(41 ^ [37 ^ [37 ^ [32 ^ []]]], xI)), -(44 ^ [37 ^ [37 ^ [32 ^ []]]])],extension(12,bind([[_76355], [37 ^ [37 ^ [32 ^ []]]]]))).
% 180.92/174.54 cnf('1.1.1.4.1',plain,[44 ^ [37 ^ [37 ^ [32 ^ []]]]],reduction('1')).
% 180.92/174.54 cnf('1.2',plain,[37 ^ [37 ^ [32 ^ []]] = sz00, sdtpldt0(38 ^ [32 ^ []], 39 ^ [32 ^ []]) = 37 ^ [32 ^ []], aElementOf0(39 ^ [32 ^ []], slsdtgt0(xb)), aElementOf0(38 ^ [32 ^ []], slsdtgt0(xa)), -(37 ^ [32 ^ []] = sz00)],extension(3,bind([[_73562, _73503, _73287], [39 ^ [32 ^ []], 38 ^ [32 ^ []], 37 ^ [32 ^ []]]]))).
% 180.92/174.54 cnf('1.2.1',plain,[-(sdtpldt0(38 ^ [32 ^ []], 39 ^ [32 ^ []]) = 37 ^ [32 ^ []]), sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(2,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.2.1.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.2.1.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.2.1.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.2.1.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.2.2',plain,[-(aElementOf0(39 ^ [32 ^ []], slsdtgt0(xb))), sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(15,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.2.2.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.2.2.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.2.2.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.2.2.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.2.3',plain,[-(aElementOf0(38 ^ [32 ^ []], slsdtgt0(xa))), sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(8,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.2.3.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.2.3.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.2.3.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.2.3.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.2.4',plain,[37 ^ [32 ^ []] = sz00, sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(3,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.2.4.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.2.4.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.2.4.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.2.4.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.3',plain,[-(40 ^ [37 ^ [37 ^ [32 ^ []]]]), aElementOf0(37 ^ [37 ^ [32 ^ []]], xI)],extension(1,bind([[_76355], [37 ^ [37 ^ [32 ^ []]]]]))).
% 180.92/174.54 cnf('1.3.1',plain,[-(aElementOf0(37 ^ [37 ^ [32 ^ []]], xI)), sdtpldt0(38 ^ [32 ^ []], 39 ^ [32 ^ []]) = 37 ^ [32 ^ []], aElementOf0(39 ^ [32 ^ []], slsdtgt0(xb)), aElementOf0(38 ^ [32 ^ []], slsdtgt0(xa)), -(37 ^ [32 ^ []] = sz00)],extension(4,bind([[_73562, _73503, _73287], [39 ^ [32 ^ []], 38 ^ [32 ^ []], 37 ^ [32 ^ []]]]))).
% 180.92/174.54 cnf('1.3.1.1',plain,[-(sdtpldt0(38 ^ [32 ^ []], 39 ^ [32 ^ []]) = 37 ^ [32 ^ []]), sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(2,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.3.1.1.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.3.1.1.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.3.1.1.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.3.1.1.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.3.1.2',plain,[-(aElementOf0(39 ^ [32 ^ []], slsdtgt0(xb))), sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(15,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.3.1.2.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.3.1.2.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.3.1.2.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.3.1.2.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.3.1.3',plain,[-(aElementOf0(38 ^ [32 ^ []], slsdtgt0(xa))), sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(8,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.3.1.3.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.3.1.3.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.3.1.3.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.3.1.3.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 cnf('1.3.1.4',plain,[37 ^ [32 ^ []] = sz00, sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [], aElementOf0(36 ^ [], slsdtgt0(xb)), aElementOf0(35 ^ [], slsdtgt0(xa)), -(32 ^ [] = sz00)],extension(3,bind([[_73562, _73503, _73287], [36 ^ [], 35 ^ [], 32 ^ []]]))).
% 180.92/174.54 cnf('1.3.1.4.1',plain,[-(sdtpldt0(35 ^ [], 36 ^ []) = 32 ^ [])],extension(5)).
% 180.92/174.54 cnf('1.3.1.4.2',plain,[-(aElementOf0(36 ^ [], slsdtgt0(xb)))],extension(6)).
% 180.92/174.54 cnf('1.3.1.4.3',plain,[-(aElementOf0(35 ^ [], slsdtgt0(xa)))],extension(7)).
% 180.92/174.54 cnf('1.3.1.4.4',plain,[32 ^ [] = sz00],extension(9)).
% 180.92/174.54 %-----------------------------------------------------
% 180.92/174.54
% 180.92/174.54 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------