TSTP Solution File: NUM852+2 by leanCoP---2.2
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% File : leanCoP---2.2
% Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 11:45:14 EDT 2022
% Result : Theorem 0.47s 1.40s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 21:48:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.47/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.41
% 0.47/1.41 %-----------------------------------------------------
% 0.47/1.41 fof('holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)', conjecture, greater(vmul(vd481, vd469), vmul(vd480, vd469)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)')).
% 0.47/1.41 fof('holds(conseq_conjunct1(conseq(304)), 483, 0)', axiom, greater(vd481, vd480), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conseq_conjunct1(conseq(304)), 483, 0)')).
% 0.47/1.41 fof('holds(antec(304), 482, 0)', axiom, less(vd480, vd481), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(antec(304), 482, 0)')).
% 0.47/1.41 fof('ass(cond(302, 0), 1)', axiom, ! [_34149, _34152] : (greater(_34149, _34152) => vmul(vplus(_34152, vskolem9(_34149, _34152)), vd469) = vplus(vmul(_34152, vd469), vmul(vskolem9(_34149, _34152), vd469))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(302, 0), 1)')).
% 0.47/1.41 fof('ass(cond(302, 0), 2)', axiom, ! [_34403, _34406] : (greater(_34403, _34406) => vmul(_34403, vd469) = vmul(vplus(_34406, vskolem9(_34403, _34406)), vd469)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(302, 0), 2)')).
% 0.47/1.41 fof('ass(cond(goal(130), 0), 0)', axiom, ! [_34616, _34619] : (_34616 = _34619 | greater(_34616, _34619) | less(_34616, _34619)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(130), 0), 0)')).
% 0.47/1.41 fof('ass(cond(goal(130), 0), 2)', axiom, ! [_34787, _34790] : (~ greater(_34787, _34790) | ~ less(_34787, _34790)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(130), 0), 2)')).
% 0.47/1.41 fof('def(cond(conseq(axiom(3)), 11), 1)', axiom, ! [_34951, _34954] : (greater(_34954, _34951) <=> ? [_34972] : _34954 = vplus(_34951, _34972)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 11), 1)')).
% 0.47/1.41
% 0.47/1.41 cnf(1, plain, [greater(vmul(vd481, vd469), vmul(vd480, vd469))], clausify('holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)')).
% 0.47/1.41 cnf(2, plain, [-(_9427 = _9427)], theory(equality)).
% 0.47/1.41 cnf(3, plain, [_9580 = _9625, -(_9625 = _9580)], theory(equality)).
% 0.47/1.41 cnf(4, plain, [-(_9859 = _9970), _9859 = _9915, _9915 = _9970], theory(equality)).
% 0.47/1.41 cnf(5, plain, [-(greater(_10402, _10533)), greater(_10335, _10468), _10335 = _10402, _10468 = _10533], theory(equality)).
% 0.47/1.41 cnf(6, plain, [-(less(_11016, _11147)), less(_10949, _11082), _10949 = _11016, _11082 = _11147], theory(equality)).
% 0.47/1.41 cnf(7, plain, [-(greater(vd481, vd480))], clausify('holds(conseq_conjunct1(conseq(304)), 483, 0)')).
% 0.47/1.41 cnf(8, plain, [-(less(vd480, vd481))], clausify('holds(antec(304), 482, 0)')).
% 0.47/1.41 cnf(9, plain, [greater(_15062, _15128), -(vmul(vplus(_15128, vskolem9(_15062, _15128)), vd469) = vplus(vmul(_15128, vd469), vmul(vskolem9(_15062, _15128), vd469)))], clausify('ass(cond(302, 0), 1)')).
% 0.47/1.41 cnf(10, plain, [greater(_15673, _15730), -(vmul(_15673, vd469) = vmul(vplus(_15730, vskolem9(_15673, _15730)), vd469))], clausify('ass(cond(302, 0), 2)')).
% 0.47/1.41 cnf(11, plain, [-(_18834 = _18885), -(greater(_18834, _18885)), -(less(_18834, _18885))], clausify('ass(cond(goal(130), 0), 0)')).
% 0.47/1.41 cnf(12, plain, [greater(_19580, _19629), less(_19580, _19629)], clausify('ass(cond(goal(130), 0), 2)')).
% 0.47/1.41 cnf(13, plain, [-(greater(_20739, _20686)), _20739 = vplus(_20686, _20851)], clausify('def(cond(conseq(axiom(3)), 11), 1)')).
% 0.47/1.41
% 0.47/1.41 cnf('1',plain,[greater(vd481, vd480), less(vd481, vd480)],start(12,bind([[_19580, _19629], [vd481, vd480]]))).
% 0.47/1.41 cnf('1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(5,bind([[_10335, _10402, _10468, _10533], [vd481, vd481, vd480, vd480]]))).
% 0.47/1.41 cnf('1.1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(5,bind([[_10335, _10402, _10468, _10533], [vd481, vd481, vd480, vd480]]))).
% 0.47/1.41 cnf('1.1.1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(5,bind([[_10335, _10402, _10468, _10533], [vd481, vd481, vd480, vd480]]))).
% 0.47/1.41 cnf('1.1.1.1.1',plain,[-(greater(vd481, vd480))],extension(7)).
% 0.47/1.41 cnf('1.1.1.1.2',plain,[-(vd481 = vd481)],extension(2,bind([[_9427], [vd481]]))).
% 0.47/1.41 cnf('1.1.1.1.3',plain,[-(vd480 = vd480)],extension(2,bind([[_9427], [vd480]]))).
% 0.47/1.41 cnf('1.1.1.2',plain,[-(vd481 = vd481)],extension(2,bind([[_9427], [vd481]]))).
% 0.47/1.41 cnf('1.1.1.3',plain,[-(vd480 = vd480)],extension(2,bind([[_9427], [vd480]]))).
% 0.47/1.41 cnf('1.1.2',plain,[-(vd481 = vd481)],extension(2,bind([[_9427], [vd481]]))).
% 0.47/1.41 cnf('1.1.3',plain,[-(vd480 = vd480)],extension(2,bind([[_9427], [vd480]]))).
% 0.47/1.41 cnf('1.2',plain,[-(less(vd481, vd480)), -(vd481 = vd480), -(greater(vd481, vd480))],extension(11,bind([[_18834, _18885], [vd481, vd480]]))).
% 0.47/1.41 cnf('1.2.1',plain,[vd481 = vd480, -(vd480 = vd481)],extension(3,bind([[_9625, _9580], [vd480, vd481]]))).
% 0.47/1.41 cnf('1.2.1.1',plain,[vd480 = vd481, -(vd480 = vd481), vd481 = vd481],extension(4,bind([[_9859, _9915, _9970], [vd480, vd481, vd481]]))).
% 0.47/1.41 cnf('1.2.1.1.1',plain,[vd480 = vd481, -(less(vd481, vd480)), less(vd480, vd481), vd481 = vd480],extension(6,bind([[_11016, _10949, _11082, _11147], [vd481, vd480, vd481, vd480]]))).
% 0.47/1.41 cnf('1.2.1.1.1.1',plain,[less(vd481, vd480)],reduction('1')).
% 0.47/1.41 cnf('1.2.1.1.1.2',plain,[-(less(vd480, vd481))],extension(8)).
% 0.47/1.41 cnf('1.2.1.1.1.3',plain,[-(vd481 = vd480)],reduction('1.2')).
% 0.47/1.41 cnf('1.2.1.1.2',plain,[-(vd481 = vd481)],extension(2,bind([[_9427], [vd481]]))).
% 0.47/1.41 cnf('1.2.2',plain,[greater(vd481, vd480), -(vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)))],extension(9,bind([[_15062, _15128], [vd481, vd480]]))).
% 0.47/1.41 cnf('1.2.2.1',plain,[vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), -(vmul(vd481, vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469))), vmul(vd481, vd469) = vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)],extension(4,bind([[_9970, _9859, _9915], [vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), vmul(vd481, vd469), vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)]]))).
% 0.47/1.41 cnf('1.2.2.1.1',plain,[vmul(vd481, vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), -(greater(vmul(vd481, vd469), vmul(vd480, vd469)))],extension(13,bind([[_20851, _20739, _20686], [vmul(vskolem9(vd481, vd480), vd469), vmul(vd481, vd469), vmul(vd480, vd469)]]))).
% 0.47/1.41 cnf('1.2.2.1.1.1',plain,[greater(vmul(vd481, vd469), vmul(vd480, vd469))],extension(1)).
% 0.47/1.41 cnf('1.2.2.1.2',plain,[-(vmul(vd481, vd469) = vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)), greater(vd481, vd480)],extension(10,bind([[_15673, _15730], [vd481, vd480]]))).
% 0.47/1.41 cnf('1.2.2.1.2.1',plain,[-(greater(vd481, vd480))],extension(7)).
% 0.47/1.41 %-----------------------------------------------------
% 0.47/1.42
% 0.47/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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