TSTP Solution File: NUM844+2 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : NUM844+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 : n022.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 09:16:19 EST 2024
% Result : Theorem 0.12s 0.34s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n022.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 : 300
% 0.12/0.34 % DateTime : Sun Mar 3 15:48:18 EST 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start Proof for theBenchmark
% 0.12/0.34
% 0.12/0.34 % Formula: holds(266, 415, 3) ( conjecture ) converted to clauses:
% 0.12/0.34 cnf(holds(266, 415, 3)-1, negated_conjecture, ( ( vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411))) != vplus(vmul(vd411, vd413), vplus(vsucc(vd411), vd413))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(266, 415, 2) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(266, 415, 2)-1, axiom, ( ( vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411)) = vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411)))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(266, 415, 1) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(266, 415, 1)-1, axiom, ( ( vplus(vmul(vsucc(vd411), vd413), vsucc(vd411)) = vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(266, 415, 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(266, 415, 0)-1, axiom, ( ( vmul(vsucc(vd411), vsucc(vd413)) = vplus(vmul(vsucc(vd411), vd413), vsucc(vd411))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(265, 414, 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(265, 414, 0)-1, axiom, ( ( vmul(vsucc(vd411), vd413) = vplus(vmul(vd411, vd413), vd413)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(264, 412, 2) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(264, 412, 2)-1, axiom, ( ( vsucc(vmul(vd411, v1)) = vplus(vmul(vd411, v1), v1)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(264, 412, 1) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(264, 412, 1)-1, axiom, ( ( vsucc(vd411) = vsucc(vmul(vd411, v1))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(264, 412, 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(264, 412, 0)-1, axiom, ( ( vmul(vsucc(vd411), v1) = vsucc(vd411)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(253, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(253, 0), 0)-1, axiom, ( ( vmul(v1, _u0) = _u0) )).
% 0.12/0.34
% 0.12/0.34 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u3, v1) = _u3) )).
% 0.12/0.34 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-2, axiom, ( ( vmul(_u4, vsucc(_u1)) = vplus(vmul(_u4, _u1), _u4)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(241, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(241, 0), 0)-1, axiom, ( ~less(_u6, vplus(_u5, v1)) | leq(_u6, _u5) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(234, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(234, 0), 0)-1, axiom, ( ~greater(_u8, _u7) | geq(_u8, vplus(_u7, v1)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u9, _u10) = vplus(_u10, _u9)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u12), _u11) = vsucc(vplus(_u12, _u11))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u13) = vsucc(_u13)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u16, _u15), _u14) = vplus(_u16, vplus(_u15, _u14))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.12/0.35 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u19, v1) = vsucc(_u19)) )).
% 0.12/0.35 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u20, vsucc(_u17)) = vsucc(vplus(_u20, _u17))) )).
% 0.12/0.35
% 0.12/0.35 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.35 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u21 = v1) | ( _u21 = vsucc(vskolem2(_u21))) )).
% 0.12/0.35
% 0.12/0.35 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.35 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u22) != _u22) )).
% 0.12/0.35
% 0.12/0.35 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.35 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u24 = _u23) | ( vsucc(_u24) != vsucc(_u23)) )).
% 0.12/0.35
% 0.12/0.35 % Problem matrix:
% 0.12/0.35 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.35 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.35 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.35 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.12/0.35 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.12/0.35 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.12/0.35 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.12/0.35 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.12/0.35 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.12/0.35 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.12/0.35 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 0.12/0.35 cnf(matrix-11, plain, ( ( vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411))) != vplus(vmul(vd411, vd413), vplus(vsucc(vd411), vd413))) )).
% 0.12/0.35 cnf(matrix-12, plain, ( ( vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411)) = vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411)))) )).
% 0.12/0.35 cnf(matrix-13, plain, ( ( vplus(vmul(vsucc(vd411), vd413), vsucc(vd411)) = vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411))) )).
% 0.12/0.35 cnf(matrix-14, plain, ( ( vmul(vsucc(vd411), vsucc(vd413)) = vplus(vmul(vsucc(vd411), vd413), vsucc(vd411))) )).
% 0.12/0.35 cnf(matrix-15, plain, ( ( vmul(vsucc(vd411), vd413) = vplus(vmul(vd411, vd413), vd413)) )).
% 0.12/0.35 cnf(matrix-16, plain, ( ( vsucc(vmul(vd411, v1)) = vplus(vmul(vd411, v1), v1)) )).
% 0.12/0.35 cnf(matrix-17, plain, ( ( vsucc(vd411) = vsucc(vmul(vd411, v1))) )).
% 0.12/0.35 cnf(matrix-18, plain, ( ( vmul(vsucc(vd411), v1) = vsucc(vd411)) )).
% 0.12/0.35 cnf(matrix-19, plain, ( ( vmul(v1, _u0) = _u0) )).
% 0.12/0.35 cnf(matrix-20, plain, ( ( vmul(_u3, v1) = _u3) )).
% 0.12/0.35 cnf(matrix-21, plain, ( ( vmul(_u4, vsucc(_u1)) = vplus(vmul(_u4, _u1), _u4)) )).
% 0.12/0.35 cnf(matrix-22, plain, ( ~less(_u6, vplus(_u5, v1)) | leq(_u6, _u5) )).
% 0.12/0.35 cnf(matrix-23, plain, ( ~greater(_u8, _u7) | geq(_u8, vplus(_u7, v1)) )).
% 0.12/0.35 cnf(matrix-24, plain, ( ( vplus(_u9, _u10) = vplus(_u10, _u9)) )).
% 0.12/0.35 cnf(matrix-25, plain, ( ( vplus(vsucc(_u12), _u11) = vsucc(vplus(_u12, _u11))) )).
% 0.12/0.35 cnf(matrix-26, plain, ( ( vplus(v1, _u13) = vsucc(_u13)) )).
% 0.12/0.35 cnf(matrix-27, plain, ( ( vplus(vplus(_u16, _u15), _u14) = vplus(_u16, vplus(_u15, _u14))) )).
% 0.12/0.35 cnf(matrix-28, plain, ( ( vplus(_u19, v1) = vsucc(_u19)) )).
% 0.12/0.35 cnf(matrix-29, plain, ( ( vplus(_u20, vsucc(_u17)) = vsucc(vplus(_u20, _u17))) )).
% 0.12/0.35 cnf(matrix-30, plain, ( ( _u21 = v1) | ( _u21 = vsucc(vskolem2(_u21))) )).
% 0.12/0.35 cnf(matrix-31, plain, ( ( vsucc(_u22) != _u22) )).
% 0.12/0.35 cnf(matrix-32, plain, ( ( _u24 = _u23) | ( vsucc(_u24) != vsucc(_u23)) )).
% 0.12/0.35
% 0.12/0.35 % Proof stack:
% 0.12/0.35 cnf(proof-stack, plain,
% 0.12/0.35 proof_stack(
% 0.12/0.35 start(11),
% 0.12/0.35 left_branch(0, 5, 2, 2),
% 0.12/0.35 left_branch(0, 0, 0, 3),
% 0.12/0.35 right_branch(3),
% 0.12/0.35 left_branch(0, 24, 0, 4),
% 0.12/0.35 right_branch(4),
% 0.12/0.35 right_branch(2)
% 0.12/0.35 )).
% 0.12/0.35 % SZS output end Proof for theBenchmark
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