TSTP Solution File: NUM840+2 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : NUM840+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 : n006.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 09:16:18 EST 2024
% Result : Theorem 0.72s 0.90s
% Output : Proof 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM840+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 : n006.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 : Sun Mar 3 15:47:35 EST 2024
% 0.12/0.33 % CPUTime :
% 0.72/0.90 % SZS status Theorem for theBenchmark
% 0.72/0.90 % SZS output start Proof for theBenchmark
% 0.72/0.90
% 0.72/0.90 % Formula: holds(conseq(conjunct2(conjunct2(204))), 336, 0) ( conjecture ) converted to clauses:
% 0.72/0.90 cnf(holds(conseq(conjunct2(conjunct2(204))), 336, 0)-1, negated_conjecture, ( ~less(vd328, vd329) )).
% 0.72/0.90
% 0.72/0.90 % Formula: holds(antec(conjunct2(conjunct2(204))), 335, 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(holds(antec(conjunct2(conjunct2(204))), 335, 0)-1, axiom, ( less(vplus(vd328, vd330), vplus(vd329, vd330)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(conjunct1(conjunct2(204)), 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(conjunct1(conjunct2(204)), 0), 0)-1, axiom, ( ( vplus(vd328, vd330) != vplus(vd329, vd330)) | ( vd328 = vd329) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(conjunct1(204), 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(conjunct1(204), 0), 0)-1, axiom, ( ~greater(vplus(vd328, vd330), vplus(vd329, vd330)) | greater(vd328, vd329) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(193), 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(193), 0), 0)-1, axiom, ( ~less(_u2, _u1) | less(vplus(_u2, _u0), vplus(_u1, _u0)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(193), 0), 1) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(193), 0), 1)-1, axiom, ( ( _u5 != _u4) | ( vplus(_u5, _u3) = vplus(_u4, _u3)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(193), 0), 2) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(193), 0), 2)-1, axiom, ( ~greater(_u8, _u7) | greater(vplus(_u8, _u6), vplus(_u7, _u6)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u10, _u9) | greater(_u9, _u10) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u12, _u11) | less(_u11, _u12) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u14 = _u13) | greater(_u14, _u13) | less(_u14, _u13) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u16 != _u15) | ~less(_u16, _u15) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u18, _u17) | ~less(_u18, _u17) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u20 != _u19) | ~greater(_u20, _u19) )).
% 0.72/0.90
% 0.72/0.90 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u25, _u27) | ( _u27 = vplus(_u25, skolem1(_u27, _u25))) )).
% 0.72/0.90 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u28 != vplus(_u26, _u22)) | less(_u26, _u28) )).
% 0.72/0.90
% 0.72/0.90 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u33, _u35) | ( _u33 = vplus(_u35, skolem2(_u35, _u33))) )).
% 0.72/0.90 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u34 != vplus(_u36, _u30)) | greater(_u34, _u36) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u40 = _u39) | ( _u40 = vplus(_u39, skolem3(_u40, _u39))) | ( _u39 = vplus(_u40, skolem4(_u40, _u39))) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u43 != _u42) | ( _u42 != vplus(_u43, _u41)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u47 != vplus(_u46, _u44)) | ( _u46 != vplus(_u47, _u45)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u50 != _u49) | ( _u50 != vplus(_u49, _u48)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(81, 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(81, 0), 0)-1, axiom, ( ( _u53 = _u52) | ( vplus(_u51, _u53) != vplus(_u51, _u52)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(73, 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(73, 0), 0)-1, axiom, ( ( _u54 != vplus(_u55, _u54)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u56, _u57) = vplus(_u57, _u56)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u59), _u58) = vsucc(vplus(_u59, _u58))) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u60) = vsucc(_u60)) )).
% 0.72/0.90
% 0.72/0.90 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u63, _u62), _u61) = vplus(_u63, vplus(_u62, _u61))) )).
% 0.72/0.90
% 0.72/0.90 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.72/0.90 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u66, v1) = vsucc(_u66)) )).
% 0.72/0.90 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u67, vsucc(_u64)) = vsucc(vplus(_u67, _u64))) )).
% 0.72/0.90
% 0.72/0.90 % Problem matrix:
% 0.72/0.90 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.72/0.90 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.72/0.90 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.72/0.90 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.72/0.90 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.72/0.90 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.72/0.90 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.72/0.90 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.72/0.90 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.72/0.90 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.72/0.90 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.72/0.90 cnf(matrix-11, plain, ( ~less(vd328, vd329) )).
% 0.72/0.90 cnf(matrix-12, plain, ( less(vplus(vd328, vd330), vplus(vd329, vd330)) )).
% 0.72/0.90 cnf(matrix-13, plain, ( ( vplus(vd328, vd330) != vplus(vd329, vd330)) | ( vd328 = vd329) )).
% 0.72/0.90 cnf(matrix-14, plain, ( ~greater(vplus(vd328, vd330), vplus(vd329, vd330)) | greater(vd328, vd329) )).
% 0.72/0.90 cnf(matrix-15, plain, ( ~less(_u2, _u1) | less(vplus(_u2, _u0), vplus(_u1, _u0)) )).
% 0.72/0.90 cnf(matrix-16, plain, ( ( _u5 != _u4) | ( vplus(_u5, _u3) = vplus(_u4, _u3)) )).
% 0.72/0.90 cnf(matrix-17, plain, ( ~greater(_u8, _u7) | greater(vplus(_u8, _u6), vplus(_u7, _u6)) )).
% 0.72/0.90 cnf(matrix-18, plain, ( ~less(_u10, _u9) | greater(_u9, _u10) )).
% 0.72/0.90 cnf(matrix-19, plain, ( ~greater(_u12, _u11) | less(_u11, _u12) )).
% 0.72/0.90 cnf(matrix-20, plain, ( ( _u14 = _u13) | greater(_u14, _u13) | less(_u14, _u13) )).
% 0.72/0.90 cnf(matrix-21, plain, ( ( _u16 != _u15) | ~less(_u16, _u15) )).
% 0.72/0.90 cnf(matrix-22, plain, ( ~greater(_u18, _u17) | ~less(_u18, _u17) )).
% 0.72/0.90 cnf(matrix-23, plain, ( ( _u20 != _u19) | ~greater(_u20, _u19) )).
% 0.72/0.90 cnf(matrix-24, plain, ( ~less(_u25, _u27) | ( _u27 = vplus(_u25, skolem1(_u27, _u25))) )).
% 0.72/0.90 cnf(matrix-25, plain, ( ( _u28 != vplus(_u26, _u22)) | less(_u26, _u28) )).
% 0.72/0.90 cnf(matrix-26, plain, ( ~greater(_u33, _u35) | ( _u33 = vplus(_u35, skolem2(_u35, _u33))) )).
% 0.72/0.90 cnf(matrix-27, plain, ( ( _u34 != vplus(_u36, _u30)) | greater(_u34, _u36) )).
% 0.72/0.90 cnf(matrix-28, plain, ( ( _u40 = _u39) | ( _u40 = vplus(_u39, skolem3(_u40, _u39))) | ( _u39 = vplus(_u40, skolem4(_u40, _u39))) )).
% 0.72/0.90 cnf(matrix-29, plain, ( ( _u43 != _u42) | ( _u42 != vplus(_u43, _u41)) )).
% 0.72/0.90 cnf(matrix-30, plain, ( ( _u47 != vplus(_u46, _u44)) | ( _u46 != vplus(_u47, _u45)) )).
% 0.72/0.90 cnf(matrix-31, plain, ( ( _u50 != _u49) | ( _u50 != vplus(_u49, _u48)) )).
% 0.72/0.90 cnf(matrix-32, plain, ( ( _u53 = _u52) | ( vplus(_u51, _u53) != vplus(_u51, _u52)) )).
% 0.72/0.90 cnf(matrix-33, plain, ( ( _u54 != vplus(_u55, _u54)) )).
% 0.72/0.90 cnf(matrix-34, plain, ( ( vplus(_u56, _u57) = vplus(_u57, _u56)) )).
% 0.72/0.90 cnf(matrix-35, plain, ( ( vplus(vsucc(_u59), _u58) = vsucc(vplus(_u59, _u58))) )).
% 0.72/0.90 cnf(matrix-36, plain, ( ( vplus(v1, _u60) = vsucc(_u60)) )).
% 0.72/0.90 cnf(matrix-37, plain, ( ( vplus(vplus(_u63, _u62), _u61) = vplus(_u63, vplus(_u62, _u61))) )).
% 0.72/0.90 cnf(matrix-38, plain, ( ( vplus(_u66, v1) = vsucc(_u66)) )).
% 0.72/0.90 cnf(matrix-39, plain, ( ( vplus(_u67, vsucc(_u64)) = vsucc(vplus(_u67, _u64))) )).
% 0.72/0.90
% 0.72/0.90 % Proof stack:
% 0.72/0.90 cnf(proof-stack, plain,
% 0.72/0.90 proof_stack(
% 0.72/0.90 start(11),
% 0.72/0.90 left_branch(0, 20, 2, 2),
% 0.72/0.90 left_branch(0, 16, 0, 3),
% 0.72/0.90 left_branch(0, 21, 0, 4),
% 0.72/0.90 left_branch(0, 12, 0, 5),
% 0.72/0.90 right_branch(5),
% 0.72/0.90 right_branch(4),
% 0.72/0.90 right_branch(3),
% 0.72/0.90 left_branch(0, 17, 0, 4),
% 0.72/0.90 left_branch(0, 22, 0, 5),
% 0.72/0.90 left_branch(0, 12, 0, 6),
% 0.72/0.90 right_branch(6),
% 0.72/0.90 right_branch(5),
% 0.72/0.90 right_branch(4),
% 0.72/0.90 right_branch(2)
% 0.72/0.90 )).
% 0.72/0.90 % SZS output end Proof for theBenchmark
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