TSTP Solution File: NUM849+2 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 11:45:11 EDT 2022
% Result : Theorem 0.31s 1.40s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 22:29:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.31/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41 fof('qu(ind(296), imp(296))', conjecture, ! [_23842] : (vmul(vmul(vd448, vd449), _23842) = vmul(vd448, vmul(vd449, _23842)) => vmul(vmul(vd448, vd449), vsucc(_23842)) = vmul(vd448, vmul(vd449, vsucc(_23842)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(ind(296), imp(296))')).
% 0.31/1.41 fof('ass(cond(conseq(292), 1), 0)', axiom, ! [_24126] : (vmul(vmul(vd448, vd449), _24126) = vmul(vd448, vmul(vd449, _24126)) => vmul(vd448, vplus(vmul(vd449, _24126), vd449)) = vmul(vd448, vmul(vd449, vsucc(_24126)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 0)')).
% 0.31/1.41 fof('ass(cond(conseq(292), 1), 1)', axiom, ! [_24406] : (vmul(vmul(vd448, vd449), _24406) = vmul(vd448, vmul(vd449, _24406)) => vplus(vmul(vd448, vmul(vd449, _24406)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, _24406), vd449))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 1)')).
% 0.31/1.41 fof('ass(cond(conseq(292), 1), 2)', axiom, ! [_24709] : (vmul(vmul(vd448, vd449), _24709) = vmul(vd448, vmul(vd449, _24709)) => vplus(vmul(vmul(vd448, vd449), _24709), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, _24709)), vmul(vd448, vd449))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 2)')).
% 0.31/1.41 fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))', axiom, ! [_25032, _25035] : (vmul(_25032, vsucc(_25035)) = vplus(vmul(_25032, _25035), _25032) & vmul(_25032, v1) = _25032), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 0.31/1.41
% 0.31/1.41 cnf(1, plain, [-(vmul(vmul(vd448, vd449), 1 ^ []) = vmul(vd448, vmul(vd449, 1 ^ [])))], clausify('qu(ind(296), imp(296))')).
% 0.31/1.41 cnf(2, plain, [vmul(vmul(vd448, vd449), vsucc(1 ^ [])) = vmul(vd448, vmul(vd449, vsucc(1 ^ [])))], clausify('qu(ind(296), imp(296))')).
% 0.31/1.41 cnf(3, plain, [vmul(vmul(vd448, vd449), _10894) = vmul(vd448, vmul(vd449, _10894)), -(vmul(vd448, vplus(vmul(vd449, _10894), vd449)) = vmul(vd448, vmul(vd449, vsucc(_10894))))], clausify('ass(cond(conseq(292), 1), 0)')).
% 0.31/1.41 cnf(4, plain, [vmul(vmul(vd448, vd449), _11523) = vmul(vd448, vmul(vd449, _11523)), -(vplus(vmul(vd448, vmul(vd449, _11523)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, _11523), vd449)))], clausify('ass(cond(conseq(292), 1), 1)')).
% 0.31/1.41 cnf(5, plain, [vmul(vmul(vd448, vd449), _12211) = vmul(vd448, vmul(vd449, _12211)), -(vplus(vmul(vmul(vd448, vd449), _12211), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, _12211)), vmul(vd448, vd449)))], clausify('ass(cond(conseq(292), 1), 2)')).
% 0.31/1.41 cnf(6, plain, [-(vmul(_15033, vsucc(_15092)) = vplus(vmul(_15033, _15092), _15033))], clausify('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 0.31/1.41 cnf(7, plain, [-(_8785 = _8896), _8785 = _8841, _8841 = _8896], theory(equality)).
% 0.31/1.41
% 0.31/1.41 cnf('1',plain,[vmul(vmul(vd448, vd449), vsucc(1 ^ [])) = vmul(vd448, vmul(vd449, vsucc(1 ^ [])))],start(2)).
% 0.31/1.41 cnf('1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(1 ^ [])) = vmul(vd448, vmul(vd449, vsucc(1 ^ [])))), vmul(vmul(vd448, vd449), vsucc(1 ^ [])) = vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vmul(vd449, vsucc(1 ^ [])))],extension(7,bind([[_8785, _8841, _8896], [vmul(vmul(vd448, vd449), vsucc(1 ^ [])), vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449)), vmul(vd448, vmul(vd449, vsucc(1 ^ [])))]]))).
% 0.31/1.41 cnf('1.1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(1 ^ [])) = vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), vsucc(1 ^ [])) = vplus(vmul(vmul(vd448, vd449), 1 ^ []), vmul(vd448, vd449)), vplus(vmul(vmul(vd448, vd449), 1 ^ []), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449))],extension(7,bind([[_8785, _8841, _8896], [vmul(vmul(vd448, vd449), vsucc(1 ^ [])), vplus(vmul(vmul(vd448, vd449), 1 ^ []), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449))]]))).
% 0.31/1.41 cnf('1.1.1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(1 ^ [])) = vplus(vmul(vmul(vd448, vd449), 1 ^ []), vmul(vd448, vd449)))],extension(6,bind([[_15092, _15033], [1 ^ [], vmul(vd448, vd449)]]))).
% 0.31/1.41 cnf('1.1.1.2',plain,[-(vplus(vmul(vmul(vd448, vd449), 1 ^ []), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), 1 ^ []) = vmul(vd448, vmul(vd449, 1 ^ []))],extension(5,bind([[_12211], [1 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.2.1',plain,[-(vmul(vmul(vd448, vd449), 1 ^ []) = vmul(vd448, vmul(vd449, 1 ^ [])))],extension(1)).
% 0.31/1.41 cnf('1.1.2',plain,[-(vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vmul(vd449, vsucc(1 ^ [])))), vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, 1 ^ []), vd449)), vmul(vd448, vplus(vmul(vd449, 1 ^ []), vd449)) = vmul(vd448, vmul(vd449, vsucc(1 ^ [])))],extension(7,bind([[_8785, _8841, _8896], [vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449)), vmul(vd448, vplus(vmul(vd449, 1 ^ []), vd449)), vmul(vd448, vmul(vd449, vsucc(1 ^ [])))]]))).
% 0.31/1.41 cnf('1.1.2.1',plain,[-(vplus(vmul(vd448, vmul(vd449, 1 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, 1 ^ []), vd449))), vmul(vmul(vd448, vd449), 1 ^ []) = vmul(vd448, vmul(vd449, 1 ^ []))],extension(4,bind([[_11523], [1 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.1.1',plain,[-(vmul(vmul(vd448, vd449), 1 ^ []) = vmul(vd448, vmul(vd449, 1 ^ [])))],extension(1)).
% 0.31/1.41 cnf('1.1.2.2',plain,[-(vmul(vd448, vplus(vmul(vd449, 1 ^ []), vd449)) = vmul(vd448, vmul(vd449, vsucc(1 ^ [])))), vmul(vmul(vd448, vd449), 1 ^ []) = vmul(vd448, vmul(vd449, 1 ^ []))],extension(3,bind([[_10894], [1 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.2.1',plain,[-(vmul(vmul(vd448, vd449), 1 ^ []) = vmul(vd448, vmul(vd449, 1 ^ [])))],extension(1)).
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.42
% 0.31/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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