TSTP Solution File: NUM848+2 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : NUM848+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 09:16:19 EST 2024
% Result : Theorem 0.13s 0.34s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % 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 16:33:57 EST 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start Proof for theBenchmark
% 0.13/0.34
% 0.13/0.34 % Formula: holds(286, 441, 4) ( conjecture ) converted to clauses:
% 0.13/0.34 cnf(holds(286, 441, 4)-1, negated_conjecture, ( ( vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) != vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))) )).
% 0.13/0.34
% 0.13/0.34 % Formula: holds(286, 441, 3) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(holds(286, 441, 3)-1, axiom, ( ( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436))) )).
% 0.13/0.34
% 0.13/0.34 % Formula: holds(286, 441, 2) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(holds(286, 441, 2)-1, axiom, ( ( vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) )).
% 0.13/0.34
% 0.13/0.34 % Formula: holds(286, 441, 1) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(holds(286, 441, 1)-1, axiom, ( ( vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436)) )).
% 0.13/0.34
% 0.13/0.34 % Formula: holds(286, 441, 0) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(holds(286, 441, 0)-1, axiom, ( ( vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439)))) )).
% 0.13/0.34
% 0.13/0.34 % Formula: holds(285, 440, 0) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(holds(285, 440, 0)-1, axiom, ( ( vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439))) )).
% 0.13/0.34
% 0.13/0.34 % Formula: holds(284, 438, 2) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(holds(284, 438, 2)-1, axiom, ( ( vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1))) )).
% 0.13/0.34
% 0.13/0.34 % Formula: holds(284, 438, 1) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(holds(284, 438, 1)-1, axiom, ( ( vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436)) )).
% 0.13/0.34
% 0.13/0.34 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u2, v1) = _u2) )).
% 0.13/0.34 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-2, axiom, ( ( vmul(_u3, vsucc(_u0)) = vplus(vmul(_u3, _u0), _u3)) )).
% 0.13/0.34
% 0.13/0.34 % Formula: ass(cond(241, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(ass(cond(241, 0), 0)-1, axiom, ( ~less(_u5, vplus(_u4, v1)) | leq(_u5, _u4) )).
% 0.13/0.34
% 0.13/0.34 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u6, _u7) = vplus(_u7, _u6)) )).
% 0.13/0.34
% 0.13/0.34 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u9), _u8) = vsucc(vplus(_u9, _u8))) )).
% 0.13/0.34
% 0.13/0.34 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u10) = vsucc(_u10)) )).
% 0.13/0.34
% 0.13/0.34 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u13, _u12), _u11) = vplus(_u13, vplus(_u12, _u11))) )).
% 0.13/0.34
% 0.13/0.34 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u16, v1) = vsucc(_u16)) )).
% 0.13/0.34 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u17, vsucc(_u14)) = vsucc(vplus(_u17, _u14))) )).
% 0.13/0.34
% 0.13/0.34 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.34 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u18 = v1) | ( _u18 = vsucc(vskolem2(_u18))) )).
% 0.13/0.34
% 0.13/0.34 % Problem matrix:
% 0.13/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.13/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.13/0.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.13/0.34 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.13/0.34 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.13/0.34 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.13/0.34 cnf(matrix-9, plain, ( ( vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) != vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))) )).
% 0.13/0.34 cnf(matrix-10, plain, ( ( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436))) )).
% 0.13/0.34 cnf(matrix-11, plain, ( ( vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) )).
% 0.13/0.34 cnf(matrix-12, plain, ( ( vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436)) )).
% 0.13/0.34 cnf(matrix-13, plain, ( ( vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439)))) )).
% 0.13/0.34 cnf(matrix-14, plain, ( ( vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439))) )).
% 0.13/0.34 cnf(matrix-15, plain, ( ( vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1))) )).
% 0.13/0.34 cnf(matrix-16, plain, ( ( vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436)) )).
% 0.13/0.34 cnf(matrix-17, plain, ( ( vmul(_u2, v1) = _u2) )).
% 0.13/0.34 cnf(matrix-18, plain, ( ( vmul(_u3, vsucc(_u0)) = vplus(vmul(_u3, _u0), _u3)) )).
% 0.13/0.34 cnf(matrix-19, plain, ( ~less(_u5, vplus(_u4, v1)) | leq(_u5, _u4) )).
% 0.13/0.34 cnf(matrix-20, plain, ( ( vplus(_u6, _u7) = vplus(_u7, _u6)) )).
% 0.13/0.34 cnf(matrix-21, plain, ( ( vplus(vsucc(_u9), _u8) = vsucc(vplus(_u9, _u8))) )).
% 0.13/0.34 cnf(matrix-22, plain, ( ( vplus(v1, _u10) = vsucc(_u10)) )).
% 0.13/0.34 cnf(matrix-23, plain, ( ( vplus(vplus(_u13, _u12), _u11) = vplus(_u13, vplus(_u12, _u11))) )).
% 0.13/0.34 cnf(matrix-24, plain, ( ( vplus(_u16, v1) = vsucc(_u16)) )).
% 0.13/0.34 cnf(matrix-25, plain, ( ( vplus(_u17, vsucc(_u14)) = vsucc(vplus(_u17, _u14))) )).
% 0.13/0.34 cnf(matrix-26, plain, ( ( _u18 = v1) | ( _u18 = vsucc(vskolem2(_u18))) )).
% 0.13/0.34
% 0.13/0.34 % Proof stack:
% 0.13/0.34 cnf(proof-stack, plain,
% 0.13/0.34 proof_stack(
% 0.13/0.34 start(9),
% 0.13/0.34 left_branch(0, 4, 2, 2),
% 0.13/0.34 left_branch(0, 3, 2, 3),
% 0.13/0.34 left_branch(0, 0, 0, 4),
% 0.13/0.34 right_branch(4),
% 0.13/0.34 left_branch(0, 0, 0, 5),
% 0.13/0.34 right_branch(5),
% 0.13/0.34 right_branch(3),
% 0.13/0.34 left_branch(0, 1, 1, 4),
% 0.13/0.34 left_branch(0, 18, 0, 5),
% 0.13/0.34 right_branch(5),
% 0.13/0.34 right_branch(4),
% 0.13/0.34 right_branch(2)
% 0.13/0.34 )).
% 0.13/0.34 % SZS output end Proof for theBenchmark
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