TSTP Solution File: NUM846+2 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM846+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 : n026.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 : Mon Mar 25 14:28:03 EDT 2024
% Result : Theorem 0.12s 0.34s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM846+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n026.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 : 300
% 0.12/0.33 % DateTime : Wed Mar 20 19:24:49 EDT 2024
% 0.12/0.33 % 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(286, 441, 2) ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.34 cnf(holds(286, 441, 2)-1, negated_conjecture, ( ( vplus(vmul(vd436, vplus(vd437, vd439)), vd436) != vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(286, 441, 1) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(286, 441, 1)-1, axiom, ( ( vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(286, 441, 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(286, 441, 0)-1, axiom, ( ( vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439)))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(285, 440, 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(285, 440, 0)-1, axiom, ( ( vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(284, 438, 2) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(284, 438, 2)-1, axiom, ( ( vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(284, 438, 1) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(284, 438, 1)-1, axiom, ( ( vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: holds(284, 438, 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(holds(284, 438, 0)-1, axiom, ( ( vmul(vd436, vplus(vd437, v1)) = vmul(vd436, vsucc(vd437))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(270, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(270, 0), 0)-1, axiom, ( ( vmul(_u1, _u0) = vmul(_u0, _u1)) )).
% 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, _u2) = _u2) )).
% 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(_u5, v1) = _u5) )).
% 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(_u6, vsucc(_u3)) = vplus(vmul(_u6, _u3), _u6)) )).
% 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(_u8, vplus(_u7, v1)) | leq(_u8, _u7) )).
% 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(_u10, _u9) | geq(_u10, vplus(_u9, v1)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(228, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(228, 0), 0)-1, axiom, ( geq(_u11, 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(_u12, _u13) = vplus(_u13, _u12)) )).
% 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(_u15), _u14) = vsucc(vplus(_u15, _u14))) )).
% 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, _u16) = vsucc(_u16)) )).
% 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(_u19, _u18), _u17) = vplus(_u19, vplus(_u18, _u17))) )).
% 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:
% 0.12/0.34 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u22, v1) = vsucc(_u22)) )).
% 0.12/0.34 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u23, vsucc(_u20)) = vsucc(vplus(_u23, _u20))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u24 = v1) | ( _u24 = vsucc(vskolem2(_u24))) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u25) != _u25) )).
% 0.12/0.34
% 0.12/0.34 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.34 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u27 = _u26) | ( vsucc(_u27) != vsucc(_u26)) )).
% 0.12/0.34
% 0.12/0.34 % Problem matrix:
% 0.12/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.12/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.12/0.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.12/0.34 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.12/0.34 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.12/0.34 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.12/0.34 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.12/0.34 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 0.12/0.34 cnf(matrix-11, plain, ( ( vplus(vmul(vd436, vplus(vd437, vd439)), vd436) != vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) )).
% 0.12/0.34 cnf(matrix-12, plain, ( ( vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436)) )).
% 0.12/0.34 cnf(matrix-13, plain, ( ( vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439)))) )).
% 0.12/0.34 cnf(matrix-14, plain, ( ( vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439))) )).
% 0.12/0.34 cnf(matrix-15, plain, ( ( vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1))) )).
% 0.12/0.34 cnf(matrix-16, plain, ( ( vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436)) )).
% 0.12/0.34 cnf(matrix-17, plain, ( ( vmul(vd436, vplus(vd437, v1)) = vmul(vd436, vsucc(vd437))) )).
% 0.12/0.34 cnf(matrix-18, plain, ( ( vmul(_u1, _u0) = vmul(_u0, _u1)) )).
% 0.12/0.34 cnf(matrix-19, plain, ( ( vmul(v1, _u2) = _u2) )).
% 0.12/0.34 cnf(matrix-20, plain, ( ( vmul(_u5, v1) = _u5) )).
% 0.12/0.34 cnf(matrix-21, plain, ( ( vmul(_u6, vsucc(_u3)) = vplus(vmul(_u6, _u3), _u6)) )).
% 0.12/0.34 cnf(matrix-22, plain, ( ~less(_u8, vplus(_u7, v1)) | leq(_u8, _u7) )).
% 0.12/0.34 cnf(matrix-23, plain, ( ~greater(_u10, _u9) | geq(_u10, vplus(_u9, v1)) )).
% 0.12/0.34 cnf(matrix-24, plain, ( geq(_u11, v1) )).
% 0.12/0.34 cnf(matrix-25, plain, ( ( vplus(_u12, _u13) = vplus(_u13, _u12)) )).
% 0.12/0.34 cnf(matrix-26, plain, ( ( vplus(vsucc(_u15), _u14) = vsucc(vplus(_u15, _u14))) )).
% 0.12/0.34 cnf(matrix-27, plain, ( ( vplus(v1, _u16) = vsucc(_u16)) )).
% 0.12/0.34 cnf(matrix-28, plain, ( ( vplus(vplus(_u19, _u18), _u17) = vplus(_u19, vplus(_u18, _u17))) )).
% 0.12/0.34 cnf(matrix-29, plain, ( ( vplus(_u22, v1) = vsucc(_u22)) )).
% 0.12/0.34 cnf(matrix-30, plain, ( ( vplus(_u23, vsucc(_u20)) = vsucc(vplus(_u23, _u20))) )).
% 0.12/0.34 cnf(matrix-31, plain, ( ( _u24 = v1) | ( _u24 = vsucc(vskolem2(_u24))) )).
% 0.12/0.34 cnf(matrix-32, plain, ( ( vsucc(_u25) != _u25) )).
% 0.12/0.34 cnf(matrix-33, plain, ( ( _u27 = _u26) | ( vsucc(_u27) != vsucc(_u26)) )).
% 0.12/0.34
% 0.12/0.34 % Proof stack:
% 0.12/0.34 cnf(proof-stack, plain,
% 0.12/0.34 proof_stack(
% 0.12/0.34 start(11),
% 0.12/0.34 left_branch(0, 3, 2, 2),
% 0.12/0.34 left_branch(0, 14, 0, 3),
% 0.12/0.34 right_branch(3),
% 0.12/0.34 left_branch(0, 0, 0, 4),
% 0.12/0.34 right_branch(4),
% 0.12/0.34 right_branch(2)
% 0.12/0.34 )).
% 0.12/0.34 % SZS output end Proof for theBenchmark
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