TSTP Solution File: NUM849+2 by ConnectPP---0.2.2
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% File : ConnectPP---0.2.2
% Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n014.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 : 300s
% DateTime : Wed Mar 6 09:16:20 EST 2024
% Result : Theorem 0.66s 0.82s
% Output : Proof 0.66s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n014.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 : 300
% 0.13/0.34 % DateTime : Sun Mar 3 17:21:12 EST 2024
% 0.13/0.34 % CPUTime :
% 0.66/0.82 % SZS status Theorem for theBenchmark
% 0.66/0.82 % SZS output start Proof for theBenchmark
% 0.66/0.82
% 0.66/0.82 % Formula: qu(ind(296), imp(296)) ( conjecture ) converted to clauses:
% 0.66/0.82 cnf(qu(ind(296), imp(296))-1, negated_conjecture, ( ( vmul(vmul(vd448, vd449), skolem1) = vmul(vd448, vmul(vd449, skolem1))) )).
% 0.66/0.82 cnf(qu(ind(296), imp(296))-2, negated_conjecture, ( ( vmul(vmul(vd448, vd449), vsucc(skolem1)) != vmul(vd448, vmul(vd449, vsucc(skolem1)))) )).
% 0.66/0.82
% 0.66/0.82 % Formula: ass(cond(conseq(292), 1), 0) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(ass(cond(conseq(292), 1), 0)-1, axiom, ( ( vmul(vmul(vd448, vd449), _u1) != vmul(vd448, vmul(vd449, _u1))) | ( vmul(vd448, vplus(vmul(vd449, _u1), vd449)) = vmul(vd448, vmul(vd449, vsucc(_u1)))) )).
% 0.66/0.82
% 0.66/0.82 % Formula: ass(cond(conseq(292), 1), 1) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(ass(cond(conseq(292), 1), 1)-1, axiom, ( ( vmul(vmul(vd448, vd449), _u2) != vmul(vd448, vmul(vd449, _u2))) | ( vplus(vmul(vd448, vmul(vd449, _u2)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, _u2), vd449))) )).
% 0.66/0.82
% 0.66/0.82 % Formula: ass(cond(conseq(292), 1), 2) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(ass(cond(conseq(292), 1), 2)-1, axiom, ( ( vmul(vmul(vd448, vd449), _u3) != vmul(vd448, vmul(vd449, _u3))) | ( vplus(vmul(vmul(vd448, vd449), _u3), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, _u3)), vmul(vd448, vd449))) )).
% 0.66/0.82
% 0.66/0.82 % Formula: ass(cond(conseq(292), 1), 3) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(ass(cond(conseq(292), 1), 3)-1, axiom, ( ( vmul(vmul(vd448, vd449), _u4) != vmul(vd448, vmul(vd449, _u4))) | ( vmul(vmul(vd448, vd449), vsucc(_u4)) = vplus(vmul(vmul(vd448, vd449), _u4), vmul(vd448, vd449))) )).
% 0.66/0.82
% 0.66/0.82 % Formula: holds(293, 450, 1) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(holds(293, 450, 1)-1, axiom, ( ( vmul(vd448, vd449) = vmul(vd448, vmul(vd449, v1))) )).
% 0.66/0.82
% 0.66/0.82 % Formula: ass(cond(281, 0), 0) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(ass(cond(281, 0), 0)-1, axiom, ( ( vmul(_u7, vplus(_u6, _u5)) = vplus(vmul(_u7, _u6), vmul(_u7, _u5))) )).
% 0.66/0.82
% 0.66/0.82 % Formula: ass(cond(270, 0), 0) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(ass(cond(270, 0), 0)-1, axiom, ( ( vmul(_u9, _u8) = vmul(_u8, _u9)) )).
% 0.66/0.82
% 0.66/0.82 % Formula: ass(cond(261, 0), 0) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(ass(cond(261, 0), 0)-1, axiom, ( ( vmul(vsucc(_u11), _u10) = vplus(vmul(_u11, _u10), _u10)) )).
% 0.66/0.82
% 0.66/0.82 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u14, v1) = _u14) )).
% 0.66/0.82 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-2, axiom, ( ( vmul(_u15, vsucc(_u12)) = vplus(vmul(_u15, _u12), _u15)) )).
% 0.66/0.82
% 0.66/0.82 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u16, _u17) = vplus(_u17, _u16)) )).
% 0.66/0.82
% 0.66/0.82 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.66/0.82 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u20, v1) = vsucc(_u20)) )).
% 0.66/0.82 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u21, vsucc(_u18)) = vsucc(vplus(_u21, _u18))) )).
% 0.66/0.82
% 0.66/0.82 % Problem matrix:
% 0.66/0.82 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.66/0.82 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.66/0.82 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.66/0.82 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.66/0.82 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.66/0.82 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.66/0.82 cnf(matrix-6, plain, ( ( vmul(vmul(vd448, vd449), skolem1) = vmul(vd448, vmul(vd449, skolem1))) )).
% 0.66/0.82 cnf(matrix-7, plain, ( ( vmul(vmul(vd448, vd449), vsucc(skolem1)) != vmul(vd448, vmul(vd449, vsucc(skolem1)))) )).
% 0.66/0.82 cnf(matrix-8, plain, ( ( vmul(vmul(vd448, vd449), _u1) != vmul(vd448, vmul(vd449, _u1))) | ( vmul(vd448, vplus(vmul(vd449, _u1), vd449)) = vmul(vd448, vmul(vd449, vsucc(_u1)))) )).
% 0.66/0.82 cnf(matrix-9, plain, ( ( vmul(vmul(vd448, vd449), _u2) != vmul(vd448, vmul(vd449, _u2))) | ( vplus(vmul(vd448, vmul(vd449, _u2)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, _u2), vd449))) )).
% 0.66/0.82 cnf(matrix-10, plain, ( ( vmul(vmul(vd448, vd449), _u3) != vmul(vd448, vmul(vd449, _u3))) | ( vplus(vmul(vmul(vd448, vd449), _u3), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, _u3)), vmul(vd448, vd449))) )).
% 0.66/0.82 cnf(matrix-11, plain, ( ( vmul(vmul(vd448, vd449), _u4) != vmul(vd448, vmul(vd449, _u4))) | ( vmul(vmul(vd448, vd449), vsucc(_u4)) = vplus(vmul(vmul(vd448, vd449), _u4), vmul(vd448, vd449))) )).
% 0.66/0.82 cnf(matrix-12, plain, ( ( vmul(vd448, vd449) = vmul(vd448, vmul(vd449, v1))) )).
% 0.66/0.82 cnf(matrix-13, plain, ( ( vmul(_u7, vplus(_u6, _u5)) = vplus(vmul(_u7, _u6), vmul(_u7, _u5))) )).
% 0.66/0.82 cnf(matrix-14, plain, ( ( vmul(_u9, _u8) = vmul(_u8, _u9)) )).
% 0.66/0.82 cnf(matrix-15, plain, ( ( vmul(vsucc(_u11), _u10) = vplus(vmul(_u11, _u10), _u10)) )).
% 0.66/0.82 cnf(matrix-16, plain, ( ( vmul(_u14, v1) = _u14) )).
% 0.66/0.82 cnf(matrix-17, plain, ( ( vmul(_u15, vsucc(_u12)) = vplus(vmul(_u15, _u12), _u15)) )).
% 0.66/0.82 cnf(matrix-18, plain, ( ( vplus(_u16, _u17) = vplus(_u17, _u16)) )).
% 0.66/0.82 cnf(matrix-19, plain, ( ( vplus(_u20, v1) = vsucc(_u20)) )).
% 0.66/0.82 cnf(matrix-20, plain, ( ( vplus(_u21, vsucc(_u18)) = vsucc(vplus(_u21, _u18))) )).
% 0.66/0.82
% 0.66/0.82 % Proof stack:
% 0.66/0.82 cnf(proof-stack, plain,
% 0.66/0.82 proof_stack(
% 0.66/0.82 start(7),
% 0.66/0.82 left_branch(0, 2, 2, 2),
% 0.66/0.82 left_branch(0, 2, 2, 3),
% 0.66/0.82 left_branch(0, 17, 0, 4),
% 0.66/0.82 right_branch(4),
% 0.66/0.82 left_branch(0, 10, 1, 5),
% 0.66/0.82 left_branch(0, 6, 0, 6),
% 0.66/0.82 right_branch(6),
% 0.66/0.82 right_branch(5),
% 0.66/0.82 right_branch(3),
% 0.66/0.82 left_branch(0, 2, 2, 4),
% 0.66/0.82 left_branch(0, 9, 1, 5),
% 0.66/0.82 left_branch(0, 6, 0, 6),
% 0.66/0.82 right_branch(6),
% 0.66/0.82 right_branch(5),
% 0.66/0.82 left_branch(0, 8, 1, 6),
% 0.66/0.82 left_branch(0, 6, 0, 7),
% 0.66/0.82 right_branch(7),
% 0.66/0.82 right_branch(6),
% 0.66/0.82 right_branch(4),
% 0.66/0.82 right_branch(2)
% 0.66/0.82 )).
% 0.66/0.82 % SZS output end Proof for theBenchmark
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