TSTP Solution File: NUM856+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM856+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 11:45:17 EDT 2022
% Result : Theorem 45.29s 44.75s
% Output : Proof 45.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM856+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n015.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 Jul 7 12:55:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 45.29/44.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.29/44.76 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.29/44.76
% 45.29/44.76 %-----------------------------------------------------
% 45.29/44.76 fof('dis(antec(scope(318)))', axiom, greater(vd519, vd520) & geq(vd517, vd518) | geq(vd519, vd520) & greater(vd517, vd518), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'dis(antec(scope(318)))')).
% 45.29/44.76 fof('holds(conseq(scope(318)), 525, 0)', conjecture, greater(vmul(vd517, vd519), vmul(vd518, vd520)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(conseq(scope(318)), 525, 0)')).
% 45.29/44.76 fof('ass(cond(312, 0), 0)', axiom, ! [_75647, _75650, _75653, _75656] : (greater(_75653, _75656) & greater(_75647, _75650) => greater(vmul(_75647, _75653), vmul(_75650, _75656))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(312, 0), 0)')).
% 45.29/44.76 fof('ass(cond(299, 0), 2)', axiom, ! [_75880, _75883, _75886] : (greater(_75883, _75886) => greater(vmul(_75883, _75880), vmul(_75886, _75880))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(299, 0), 2)')).
% 45.29/44.76 fof('ass(cond(281, 0), 0)', axiom, ! [_76070, _76073, _76076] : vmul(_76070, vplus(_76073, _76076)) = vplus(vmul(_76070, _76073), vmul(_76070, _76076)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(281, 0), 0)')).
% 45.29/44.76 fof('def(cond(conseq(axiom(3)), 16), 1)', axiom, ! [_76301, _76304] : (geq(_76304, _76301) <=> greater(_76304, _76301) | _76304 = _76301), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 16), 1)')).
% 45.29/44.76 fof('ass(cond(140, 0), 0)', axiom, ! [_76472, _76475] : (greater(_76472, _76475) => less(_76475, _76472)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(140, 0), 0)')).
% 45.29/44.76 fof('def(cond(conseq(axiom(3)), 12), 1)', axiom, ! [_76622, _76625] : (less(_76625, _76622) <=> ? [_76643] : _76622 = vplus(_76625, _76643)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 12), 1)')).
% 45.29/44.76 fof('def(cond(conseq(axiom(3)), 11), 1)', axiom, ! [_76812, _76815] : (greater(_76815, _76812) <=> ? [_76833] : _76815 = vplus(_76812, _76833)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 11), 1)')).
% 45.29/44.76
% 45.29/44.76 cnf(1, plain, [-(2 ^ []), -(greater(vd517, vd518))], clausify('dis(antec(scope(318)))')).
% 45.29/44.76 cnf(2, plain, [-(2 ^ []), -(geq(vd519, vd520))], clausify('dis(antec(scope(318)))')).
% 45.29/44.76 cnf(3, plain, [-(1 ^ []), -(geq(vd517, vd518))], clausify('dis(antec(scope(318)))')).
% 45.29/44.76 cnf(4, plain, [-(1 ^ []), -(greater(vd519, vd520))], clausify('dis(antec(scope(318)))')).
% 45.29/44.76 cnf(5, plain, [greater(vmul(vd517, vd519), vmul(vd518, vd520))], clausify('holds(conseq(scope(318)), 525, 0)')).
% 45.29/44.76 cnf(6, plain, [-(vmul(_27377, _27510) = vmul(_27444, _27575)), _27377 = _27444, _27510 = _27575], theory(equality)).
% 45.29/44.76 cnf(7, plain, [-(_23923 = _23923)], theory(equality)).
% 45.29/44.76 cnf(8, plain, [_24076 = _24121, -(_24121 = _24076)], theory(equality)).
% 45.29/44.76 cnf(9, plain, [-(_24355 = _24466), _24355 = _24411, _24411 = _24466], theory(equality)).
% 45.29/44.76 cnf(10, plain, [-(greater(_25522, _25653)), greater(_25455, _25588), _25455 = _25522, _25588 = _25653], theory(equality)).
% 45.29/44.76 cnf(11, plain, [1 ^ [], 2 ^ []], clausify('dis(antec(scope(318)))')).
% 45.29/44.76 cnf(12, plain, [-(greater(vmul(_29709, _29842), vmul(_29776, _29907))), greater(_29842, _29907), greater(_29709, _29776)], clausify('ass(cond(312, 0), 0)')).
% 45.29/44.76 cnf(13, plain, [greater(_32745, _32800), -(greater(vmul(_32745, _32689), vmul(_32800, _32689)))], clausify('ass(cond(299, 0), 2)')).
% 45.29/44.76 cnf(14, plain, [-(vmul(_33623, vplus(_33682, _33740)) = vplus(vmul(_33623, _33682), vmul(_33623, _33740)))], clausify('ass(cond(281, 0), 0)')).
% 45.29/44.76 cnf(15, plain, [geq(_44267, _44216), -(greater(_44267, _44216)), -(_44267 = _44216)], clausify('def(cond(conseq(axiom(3)), 16), 1)')).
% 45.29/44.76 cnf(16, plain, [greater(_44922, _44967), -(less(_44967, _44922))], clausify('ass(cond(140, 0), 0)')).
% 45.29/44.76 cnf(17, plain, [less(_46731, _46678), -(_46678 = vplus(_46731, 7 ^ [_46731, _46678]))], clausify('def(cond(conseq(axiom(3)), 12), 1)')).
% 45.29/44.76 cnf(18, plain, [-(greater(_47147, _47094)), _47147 = vplus(_47094, _47259)], clausify('def(cond(conseq(axiom(3)), 11), 1)')).
% 45.29/44.76
% 45.29/44.76 cnf('1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],start(5)).
% 45.29/44.76 cnf('1.1',plain,[-(greater(vmul(vd517, vd519), vmul(vd518, vd520))), greater(vd519, vd520), greater(vd517, vd518)],extension(12,bind([[_29842, _29907, _29709, _29776], [vd519, vd520, vd517, vd518]]))).
% 45.29/44.76 cnf('1.1.1',plain,[-(greater(vd519, vd520)), geq(vd519, vd520), -(vd519 = vd520)],extension(15,bind([[_44267, _44216], [vd519, vd520]]))).
% 45.29/44.76 cnf('1.1.1.1',plain,[-(geq(vd519, vd520)), -(2 ^ [])],extension(2)).
% 45.29/44.76 cnf('1.1.1.1.1',plain,[2 ^ [], 1 ^ []],extension(11)).
% 45.29/44.76 cnf('1.1.1.1.1.1',plain,[-(1 ^ []), -(greater(vd519, vd520))],extension(4)).
% 45.29/44.76 cnf('1.1.1.1.1.1.1',plain,[greater(vd519, vd520)],reduction('1.1')).
% 45.29/44.76 cnf('1.1.1.2',plain,[vd519 = vd520, -(vmul(vd517, vd519) = vmul(vd517, vd520)), vd517 = vd517],extension(6,bind([[_27510, _27575, _27377, _27444], [vd519, vd520, vd517, vd517]]))).
% 45.29/44.76 cnf('1.1.1.2.1',plain,[vmul(vd517, vd519) = vmul(vd517, vd520), -(vmul(vd517, vd520) = vmul(vd517, vd519))],extension(8,bind([[_24121, _24076], [vmul(vd517, vd520), vmul(vd517, vd519)]]))).
% 45.29/44.76 cnf('1.1.1.2.1.1',plain,[vmul(vd517, vd520) = vmul(vd517, vd519), -(greater(vmul(vd517, vd519), vmul(vd518, vd520))), greater(vmul(vd517, vd520), vmul(vd518, vd520)), vmul(vd518, vd520) = vmul(vd518, vd520)],extension(10,bind([[_25522, _25455, _25588, _25653], [vmul(vd517, vd519), vmul(vd517, vd520), vmul(vd518, vd520), vmul(vd518, vd520)]]))).
% 45.29/44.76 cnf('1.1.1.2.1.1.1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],extension(5)).
% 45.29/44.76 cnf('1.1.1.2.1.1.2',plain,[-(greater(vmul(vd517, vd520), vmul(vd518, vd520))), greater(vd517, vd518)],extension(13,bind([[_32689, _32745, _32800], [vd520, vd517, vd518]]))).
% 45.29/44.76 cnf('1.1.1.2.1.1.2.1',plain,[-(greater(vd517, vd518)), -(2 ^ [])],extension(1)).
% 45.29/44.76 cnf('1.1.1.2.1.1.2.1.1',plain,[2 ^ [], 1 ^ []],extension(11)).
% 45.29/44.76 cnf('1.1.1.2.1.1.2.1.1.1',plain,[-(1 ^ []), -(greater(vd519, vd520))],extension(4)).
% 45.29/44.76 cnf('1.1.1.2.1.1.2.1.1.1.1',plain,[greater(vd519, vd520)],reduction('1.1')).
% 45.29/44.76 cnf('1.1.1.2.1.1.3',plain,[-(vmul(vd518, vd520) = vmul(vd518, vd520))],extension(7,bind([[_23923], [vmul(vd518, vd520)]]))).
% 45.29/44.76 cnf('1.1.1.2.2',plain,[-(vd517 = vd517)],extension(7,bind([[_23923], [vd517]]))).
% 45.29/44.76 cnf('1.1.2',plain,[-(greater(vd517, vd518)), geq(vd517, vd518), -(vd517 = vd518)],extension(15,bind([[_44267, _44216], [vd517, vd518]]))).
% 45.29/44.76 cnf('1.1.2.1',plain,[-(geq(vd517, vd518)), -(1 ^ [])],extension(3)).
% 45.29/44.76 cnf('1.1.2.1.1',plain,[1 ^ [], 2 ^ []],extension(11)).
% 45.29/44.76 cnf('1.1.2.1.1.1',plain,[-(2 ^ []), -(greater(vd517, vd518))],extension(1)).
% 45.29/44.76 cnf('1.1.2.1.1.1.1',plain,[greater(vd517, vd518)],reduction('1.1')).
% 45.29/44.76 cnf('1.1.2.2',plain,[vd517 = vd518, -(vd517 = vd518), vd517 = vd517],extension(9,bind([[_24466, _24355, _24411], [vd518, vd517, vd517]]))).
% 45.29/44.76 cnf('1.1.2.2.1',plain,[vd517 = vd518, -(vmul(vd517, vd519) = vmul(vd518, vplus(vd520, 7 ^ [vd520, vd519]))), vd519 = vplus(vd520, 7 ^ [vd520, vd519])],extension(6,bind([[_27377, _27444, _27510, _27575], [vd517, vd518, vd519, vplus(vd520, 7 ^ [vd520, vd519])]]))).
% 45.29/44.76 cnf('1.1.2.2.1.1',plain,[vmul(vd517, vd519) = vmul(vd518, vplus(vd520, 7 ^ [vd520, vd519])), -(vmul(vd517, vd519) = vplus(vmul(vd518, vd520), vmul(vd518, 7 ^ [vd520, vd519]))), vmul(vd518, vplus(vd520, 7 ^ [vd520, vd519])) = vplus(vmul(vd518, vd520), vmul(vd518, 7 ^ [vd520, vd519]))],extension(9,bind([[_24355, _24411, _24466], [vmul(vd517, vd519), vmul(vd518, vplus(vd520, 7 ^ [vd520, vd519])), vplus(vmul(vd518, vd520), vmul(vd518, 7 ^ [vd520, vd519]))]]))).
% 45.29/44.76 cnf('1.1.2.2.1.1.1',plain,[vmul(vd517, vd519) = vplus(vmul(vd518, vd520), vmul(vd518, 7 ^ [vd520, vd519])), -(greater(vmul(vd517, vd519), vmul(vd518, vd520)))],extension(18,bind([[_47259, _47147, _47094], [vmul(vd518, 7 ^ [vd520, vd519]), vmul(vd517, vd519), vmul(vd518, vd520)]]))).
% 45.29/44.76 cnf('1.1.2.2.1.1.1.1',plain,[greater(vmul(vd517, vd519), vmul(vd518, vd520))],extension(5)).
% 45.29/44.76 cnf('1.1.2.2.1.1.2',plain,[-(vmul(vd518, vplus(vd520, 7 ^ [vd520, vd519])) = vplus(vmul(vd518, vd520), vmul(vd518, 7 ^ [vd520, vd519])))],extension(14,bind([[_33682, _33623, _33740], [vd520, vd518, 7 ^ [vd520, vd519]]]))).
% 45.29/44.76 cnf('1.1.2.2.1.2',plain,[-(vd519 = vplus(vd520, 7 ^ [vd520, vd519])), less(vd520, vd519)],extension(17,bind([[_46731, _46678], [vd520, vd519]]))).
% 45.29/44.76 cnf('1.1.2.2.1.2.1',plain,[-(less(vd520, vd519)), greater(vd519, vd520)],extension(16,bind([[_44922, _44967], [vd519, vd520]]))).
% 45.29/44.76 cnf('1.1.2.2.1.2.1.1',plain,[-(greater(vd519, vd520))],lemmata('1.1')).
% 45.29/44.76 cnf('1.1.2.2.2',plain,[-(vd517 = vd517)],extension(7,bind([[_23923], [vd517]]))).
% 45.29/44.76 %-----------------------------------------------------
% 45.29/44.77
% 45.37/44.77 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------