TSTP Solution File: NUM852+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM852+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 11:45:13 EDT 2022
% Result : Theorem 1.50s 2.48s
% Output : Proof 1.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jul 7 22:04:05 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.50/2.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.50/2.49 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.50/2.49
% 1.50/2.49 %-----------------------------------------------------
% 1.50/2.49 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)')).
% 1.50/2.49 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)')).
% 1.50/2.49 fof('holds(antec(304), 482, 0)', axiom, less(vd480, vd481), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(antec(304), 482, 0)')).
% 1.50/2.49 fof('ass(cond(302, 0), 1)', axiom, ! [_73412, _73415] : (greater(_73412, _73415) => vmul(vplus(_73415, vskolem9(_73412, _73415)), vd469) = vplus(vmul(_73415, vd469), vmul(vskolem9(_73412, _73415), vd469))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(302, 0), 1)')).
% 1.50/2.49 fof('ass(cond(302, 0), 2)', axiom, ! [_73666, _73669] : (greater(_73666, _73669) => vmul(_73666, vd469) = vmul(vplus(_73669, vskolem9(_73666, _73669)), vd469)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(302, 0), 2)')).
% 1.50/2.49 fof('ass(cond(goal(130), 0), 0)', axiom, ! [_73908, _73911] : (_73908 = _73911 | greater(_73908, _73911) | less(_73908, _73911)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(130), 0), 0)')).
% 1.50/2.49 fof('ass(cond(goal(130), 0), 2)', axiom, ! [_74079, _74082] : (~ greater(_74079, _74082) | ~ less(_74079, _74082)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(130), 0), 2)')).
% 1.50/2.49 fof('def(cond(conseq(axiom(3)), 11), 1)', axiom, ! [_74243, _74246] : (greater(_74246, _74243) <=> ? [_74264] : _74246 = vplus(_74243, _74264)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 11), 1)')).
% 1.50/2.49
% 1.50/2.49 cnf(1, plain, [greater(vmul(vd481, vd469), vmul(vd480, vd469))], clausify('holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)')).
% 1.50/2.49 cnf(2, plain, [-(_23299 = _23299)], theory(equality)).
% 1.50/2.49 cnf(3, plain, [_23452 = _23497, -(_23497 = _23452)], theory(equality)).
% 1.50/2.49 cnf(4, plain, [-(_23731 = _23842), _23731 = _23787, _23787 = _23842], theory(equality)).
% 1.50/2.49 cnf(5, plain, [-(greater(_24898, _25029)), greater(_24831, _24964), _24831 = _24898, _24964 = _25029], theory(equality)).
% 1.50/2.49 cnf(6, plain, [-(less(_26136, _26267)), less(_26069, _26202), _26069 = _26136, _26202 = _26267], theory(equality)).
% 1.50/2.49 cnf(7, plain, [-(greater(vd481, vd480))], clausify('holds(conseq_conjunct1(conseq(304)), 483, 0)')).
% 1.50/2.49 cnf(8, plain, [-(less(vd480, vd481))], clausify('holds(antec(304), 482, 0)')).
% 1.50/2.49 cnf(9, plain, [greater(_30556, _30622), -(vmul(vplus(_30622, vskolem9(_30556, _30622)), vd469) = vplus(vmul(_30622, vd469), vmul(vskolem9(_30556, _30622), vd469)))], clausify('ass(cond(302, 0), 1)')).
% 1.50/2.49 cnf(10, plain, [greater(_31167, _31224), -(vmul(_31167, vd469) = vmul(vplus(_31224, vskolem9(_31167, _31224)), vd469))], clausify('ass(cond(302, 0), 2)')).
% 1.50/2.49 cnf(11, plain, [-(_44121 = _44172), -(greater(_44121, _44172)), -(less(_44121, _44172))], clausify('ass(cond(goal(130), 0), 0)')).
% 1.50/2.49 cnf(12, plain, [greater(_44867, _44916), less(_44867, _44916)], clausify('ass(cond(goal(130), 0), 2)')).
% 1.50/2.49 cnf(13, plain, [-(greater(_46036, _45983)), _46036 = vplus(_45983, _46148)], clausify('def(cond(conseq(axiom(3)), 11), 1)')).
% 1.50/2.49
% 1.50/2.49 cnf('1',plain,[greater(vd481, vd480), less(vd481, vd480)],start(12,bind([[_44867, _44916], [vd481, vd480]]))).
% 1.50/2.49 cnf('1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(5,bind([[_24831, _24898, _24964, _25029], [vd481, vd481, vd480, vd480]]))).
% 1.50/2.49 cnf('1.1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(5,bind([[_24831, _24898, _24964, _25029], [vd481, vd481, vd480, vd480]]))).
% 1.50/2.49 cnf('1.1.1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(5,bind([[_24831, _24898, _24964, _25029], [vd481, vd481, vd480, vd480]]))).
% 1.50/2.49 cnf('1.1.1.1.1',plain,[-(greater(vd481, vd480))],extension(7)).
% 1.50/2.49 cnf('1.1.1.1.2',plain,[-(vd481 = vd481)],extension(2,bind([[_23299], [vd481]]))).
% 1.50/2.49 cnf('1.1.1.1.3',plain,[-(vd480 = vd480)],extension(2,bind([[_23299], [vd480]]))).
% 1.50/2.49 cnf('1.1.1.2',plain,[-(vd481 = vd481)],extension(2,bind([[_23299], [vd481]]))).
% 1.50/2.49 cnf('1.1.1.3',plain,[-(vd480 = vd480)],extension(2,bind([[_23299], [vd480]]))).
% 1.50/2.49 cnf('1.1.2',plain,[-(vd481 = vd481)],extension(2,bind([[_23299], [vd481]]))).
% 1.50/2.49 cnf('1.1.3',plain,[-(vd480 = vd480)],extension(2,bind([[_23299], [vd480]]))).
% 1.50/2.49 cnf('1.2',plain,[-(less(vd481, vd480)), -(vd481 = vd480), -(greater(vd481, vd480))],extension(11,bind([[_44121, _44172], [vd481, vd480]]))).
% 1.50/2.49 cnf('1.2.1',plain,[vd481 = vd480, -(vd480 = vd481)],extension(3,bind([[_23497, _23452], [vd480, vd481]]))).
% 1.50/2.49 cnf('1.2.1.1',plain,[vd480 = vd481, -(vd480 = vd481), vd481 = vd481],extension(4,bind([[_23731, _23787, _23842], [vd480, vd481, vd481]]))).
% 1.50/2.49 cnf('1.2.1.1.1',plain,[vd480 = vd481, -(less(vd481, vd480)), less(vd480, vd481), vd481 = vd480],extension(6,bind([[_26136, _26069, _26202, _26267], [vd481, vd480, vd481, vd480]]))).
% 1.50/2.49 cnf('1.2.1.1.1.1',plain,[less(vd481, vd480)],reduction('1')).
% 1.50/2.49 cnf('1.2.1.1.1.2',plain,[-(less(vd480, vd481))],extension(8)).
% 1.50/2.49 cnf('1.2.1.1.1.3',plain,[-(vd481 = vd480)],reduction('1.2')).
% 1.50/2.49 cnf('1.2.1.1.2',plain,[-(vd481 = vd481)],extension(2,bind([[_23299], [vd481]]))).
% 1.50/2.49 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([[_30556, _30622], [vd481, vd480]]))).
% 1.50/2.49 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([[_23842, _23731, _23787], [vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), vmul(vd481, vd469), vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)]]))).
% 1.50/2.49 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([[_46148, _46036, _45983], [vmul(vskolem9(vd481, vd480), vd469), vmul(vd481, vd469), vmul(vd480, vd469)]]))).
% 1.50/2.49 cnf('1.2.2.1.1.1',plain,[greater(vmul(vd481, vd469), vmul(vd480, vd469))],extension(1)).
% 1.50/2.49 cnf('1.2.2.1.2',plain,[-(vmul(vd481, vd469) = vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)), greater(vd481, vd480)],extension(10,bind([[_31167, _31224], [vd481, vd480]]))).
% 1.50/2.49 cnf('1.2.2.1.2.1',plain,[-(greater(vd481, vd480))],extension(7)).
% 1.50/2.49 %-----------------------------------------------------
% 1.60/2.50
% 1.60/2.50 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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