TSTP Solution File: NUM849+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : NUM849+1 : 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 11:45:11 EDT 2022
% Result : Theorem 112.62s 109.83s
% Output : Proof 112.62s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n023.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 : Thu Jul 7 00:03:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 112.62/109.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.62/109.84 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.62/109.84
% 112.62/109.84 %-----------------------------------------------------
% 112.62/109.84 fof('qu(ind(296), imp(296))', conjecture, ! [_69791] : (vmul(vmul(vd448, vd449), _69791) = vmul(vd448, vmul(vd449, _69791)) => vmul(vmul(vd448, vd449), vsucc(_69791)) = vmul(vd448, vmul(vd449, vsucc(_69791)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(ind(296), imp(296))')).
% 112.62/109.84 fof('ass(cond(conseq(292), 1), 0)', axiom, ! [_70097] : (vmul(vmul(vd448, vd449), _70097) = vmul(vd448, vmul(vd449, _70097)) => vmul(vd448, vplus(vmul(vd449, _70097), vd449)) = vmul(vd448, vmul(vd449, vsucc(_70097)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 0)')).
% 112.62/109.84 fof('ass(cond(conseq(292), 1), 1)', axiom, ! [_70377] : (vmul(vmul(vd448, vd449), _70377) = vmul(vd448, vmul(vd449, _70377)) => vplus(vmul(vd448, vmul(vd449, _70377)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, _70377), vd449))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 1)')).
% 112.62/109.84 fof('ass(cond(conseq(292), 1), 2)', axiom, ! [_70680] : (vmul(vmul(vd448, vd449), _70680) = vmul(vd448, vmul(vd449, _70680)) => vplus(vmul(vmul(vd448, vd449), _70680), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, _70680)), vmul(vd448, vd449))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 2)')).
% 112.62/109.84 fof('ass(cond(conseq(292), 1), 3)', axiom, ! [_70999] : (vmul(vmul(vd448, vd449), _70999) = vmul(vd448, vmul(vd449, _70999)) => vmul(vmul(vd448, vd449), vsucc(_70999)) = vplus(vmul(vmul(vd448, vd449), _70999), vmul(vd448, vd449))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(292), 1), 3)')).
% 112.62/109.84
% 112.62/109.84 cnf(1, plain, [-(vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ [])))], clausify('qu(ind(296), imp(296))')).
% 112.62/109.84 cnf(2, plain, [vmul(vmul(vd448, vd449), vsucc(5 ^ [])) = vmul(vd448, vmul(vd449, vsucc(5 ^ [])))], clausify('qu(ind(296), imp(296))')).
% 112.62/109.84 cnf(3, plain, [-(_24299 = _24410), _24299 = _24355, _24355 = _24410], theory(equality)).
% 112.62/109.84 cnf(4, plain, [vmul(vmul(vd448, vd449), _29298) = vmul(vd448, vmul(vd449, _29298)), -(vmul(vd448, vplus(vmul(vd449, _29298), vd449)) = vmul(vd448, vmul(vd449, vsucc(_29298))))], clausify('ass(cond(conseq(292), 1), 0)')).
% 112.62/109.84 cnf(5, plain, [vmul(vmul(vd448, vd449), _29927) = vmul(vd448, vmul(vd449, _29927)), -(vplus(vmul(vd448, vmul(vd449, _29927)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, _29927), vd449)))], clausify('ass(cond(conseq(292), 1), 1)')).
% 112.62/109.84 cnf(6, plain, [vmul(vmul(vd448, vd449), _30615) = vmul(vd448, vmul(vd449, _30615)), -(vplus(vmul(vmul(vd448, vd449), _30615), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, _30615)), vmul(vd448, vd449)))], clausify('ass(cond(conseq(292), 1), 2)')).
% 112.62/109.84 cnf(7, plain, [vmul(vmul(vd448, vd449), _31337) = vmul(vd448, vmul(vd449, _31337)), -(vmul(vmul(vd448, vd449), vsucc(_31337)) = vplus(vmul(vmul(vd448, vd449), _31337), vmul(vd448, vd449)))], clausify('ass(cond(conseq(292), 1), 3)')).
% 112.62/109.84
% 112.62/109.84 cnf('1',plain,[vmul(vmul(vd448, vd449), vsucc(5 ^ [])) = vmul(vd448, vmul(vd449, vsucc(5 ^ [])))],start(2)).
% 112.62/109.84 cnf('1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(5 ^ [])) = vmul(vd448, vmul(vd449, vsucc(5 ^ [])))), vmul(vmul(vd448, vd449), vsucc(5 ^ [])) = vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vmul(vd449, vsucc(5 ^ [])))],extension(3,bind([[_24299, _24355, _24410], [vmul(vmul(vd448, vd449), vsucc(5 ^ [])), vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449)), vmul(vd448, vmul(vd449, vsucc(5 ^ [])))]]))).
% 112.62/109.84 cnf('1.1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(5 ^ [])) = vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), vsucc(5 ^ [])) = vplus(vmul(vmul(vd448, vd449), 5 ^ []), vmul(vd448, vd449)), vplus(vmul(vmul(vd448, vd449), 5 ^ []), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449))],extension(3,bind([[_24299, _24355, _24410], [vmul(vmul(vd448, vd449), vsucc(5 ^ [])), vplus(vmul(vmul(vd448, vd449), 5 ^ []), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449))]]))).
% 112.62/109.84 cnf('1.1.1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(5 ^ [])) = vplus(vmul(vmul(vd448, vd449), 5 ^ []), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ []))],extension(7,bind([[_31337], [5 ^ []]]))).
% 112.62/109.84 cnf('1.1.1.1.1',plain,[-(vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ [])))],extension(1)).
% 112.62/109.84 cnf('1.1.1.2',plain,[-(vplus(vmul(vmul(vd448, vd449), 5 ^ []), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ []))],extension(6,bind([[_30615], [5 ^ []]]))).
% 112.62/109.84 cnf('1.1.1.2.1',plain,[-(vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ [])))],extension(1)).
% 112.62/109.84 cnf('1.1.2',plain,[-(vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vmul(vd449, vsucc(5 ^ [])))), vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, 5 ^ []), vd449)), vmul(vd448, vplus(vmul(vd449, 5 ^ []), vd449)) = vmul(vd448, vmul(vd449, vsucc(5 ^ [])))],extension(3,bind([[_24299, _24355, _24410], [vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449)), vmul(vd448, vplus(vmul(vd449, 5 ^ []), vd449)), vmul(vd448, vmul(vd449, vsucc(5 ^ [])))]]))).
% 112.62/109.84 cnf('1.1.2.1',plain,[-(vplus(vmul(vd448, vmul(vd449, 5 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, 5 ^ []), vd449))), vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ []))],extension(5,bind([[_29927], [5 ^ []]]))).
% 112.62/109.84 cnf('1.1.2.1.1',plain,[-(vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ [])))],extension(1)).
% 112.62/109.84 cnf('1.1.2.2',plain,[-(vmul(vd448, vplus(vmul(vd449, 5 ^ []), vd449)) = vmul(vd448, vmul(vd449, vsucc(5 ^ [])))), vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ []))],extension(4,bind([[_29298], [5 ^ []]]))).
% 112.62/109.84 cnf('1.1.2.2.1',plain,[-(vmul(vmul(vd448, vd449), 5 ^ []) = vmul(vd448, vmul(vd449, 5 ^ [])))],extension(1)).
% 112.62/109.84 %-----------------------------------------------------
% 112.62/109.85
% 112.62/109.85 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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