TSTP Solution File: NUM837+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : NUM837+1 : 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 : n031.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 09:16:17 EST 2024
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n031.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 17:52:16 EST 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% 0.13/0.36
% 0.13/0.36 % Formula: qe(171) ( conjecture ) converted to clauses:
% 0.13/0.36 cnf(qe(171)-1, negated_conjecture, ( ( vd269 != vplus(vd268, _u0)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: holds(conjunct2(170), 272, 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(holds(conjunct2(170), 272, 0)-1, axiom, ( less(vd269, vd271) )).
% 0.13/0.36
% 0.13/0.36 % Formula: holds(conjunct1(170), 270, 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(holds(conjunct1(170), 270, 0)-1, axiom, ( less(vd268, vd269) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(163, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(163, 0), 0)-1, axiom, ( ~leq(_u2, _u1) | geq(_u1, _u2) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(158, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(158, 0), 0)-1, axiom, ( ~geq(_u4, _u3) | leq(_u3, _u4) )).
% 0.13/0.36
% 0.13/0.36 % Formula: def(cond(conseq(axiom(3)), 17), 1) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-1, axiom, ( ~leq(_u7, _u9) | less(_u7, _u9) | ( _u7 = _u9) )).
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-2, axiom, ( leq(_u8, _u10) | ~less(_u8, _u10) )).
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-3, axiom, ( leq(_u8, _u10) | ( _u8 != _u10) )).
% 0.13/0.36
% 0.13/0.36 % Formula: def(cond(conseq(axiom(3)), 16), 1) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-1, axiom, ( ~geq(_u13, _u15) | greater(_u13, _u15) | ( _u13 = _u15) )).
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-2, axiom, ( geq(_u14, _u16) | ~greater(_u14, _u16) )).
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-3, axiom, ( geq(_u14, _u16) | ( _u14 != _u16) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u18, _u17) | greater(_u17, _u18) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u20, _u19) | less(_u19, _u20) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u22 = _u21) | greater(_u22, _u21) | less(_u22, _u21) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u24 != _u23) | ~less(_u24, _u23) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u26, _u25) | ~less(_u26, _u25) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u28 != _u27) | ~greater(_u28, _u27) )).
% 0.13/0.36
% 0.13/0.36 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u33, _u35) | ( _u35 = vplus(_u33, skolem1(_u35, _u33))) )).
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u36 != vplus(_u34, _u30)) | less(_u34, _u36) )).
% 0.13/0.36
% 0.13/0.36 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u41, _u43) | ( _u41 = vplus(_u43, skolem2(_u43, _u41))) )).
% 0.13/0.36 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u42 != vplus(_u44, _u38)) | greater(_u42, _u44) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u48 = _u47) | ( _u48 = vplus(_u47, skolem3(_u48, _u47))) | ( _u47 = vplus(_u48, skolem4(_u48, _u47))) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u51 != _u50) | ( _u50 != vplus(_u51, _u49)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u55 != vplus(_u54, _u52)) | ( _u54 != vplus(_u55, _u53)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u58 != _u57) | ( _u58 != vplus(_u57, _u56)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(81, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(81, 0), 0)-1, axiom, ( ( _u61 = _u60) | ( vplus(_u59, _u61) != vplus(_u59, _u60)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(73, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(73, 0), 0)-1, axiom, ( ( _u62 != vplus(_u63, _u62)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u64, _u65) = vplus(_u65, _u64)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u67), _u66) = vsucc(vplus(_u67, _u66))) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u68) = vsucc(_u68)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u71, _u70), _u69) = vplus(_u71, vplus(_u70, _u69))) )).
% 0.13/0.36
% 0.13/0.36 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u74, v1) = vsucc(_u74)) )).
% 0.13/0.36 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u75, vsucc(_u72)) = vsucc(vplus(_u75, _u72))) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u76 = v1) | ( _u76 = vsucc(vskolem2(_u76))) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u77) != _u77) )).
% 0.13/0.36
% 0.13/0.36 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u79 = _u78) | ( vsucc(_u79) != vsucc(_u78)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: qu(antec(axiom(3)), imp(antec(axiom(3)))) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(qu(antec(axiom(3)), imp(antec(axiom(3))))-1, axiom, ( ( vsucc(_u81) != vsucc(_u80)) | ( _u81 = _u80) )).
% 0.13/0.36
% 0.13/0.36 % Formula: qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)) ( axiom ) converted to clauses:
% 0.13/0.36 cnf(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))-1, axiom, ( ( vsucc(_u82) != v1) )).
% 0.13/0.36
% 0.13/0.36 % Problem matrix:
% 0.13/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.13/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.13/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.13/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.13/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.13/0.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.13/0.36 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.13/0.36 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.13/0.36 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.13/0.36 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 0.13/0.36 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.13/0.36 cnf(matrix-14, plain, ( ( vd269 != vplus(vd268, _u0)) )).
% 0.13/0.36 cnf(matrix-15, plain, ( less(vd269, vd271) )).
% 0.13/0.36 cnf(matrix-16, plain, ( less(vd268, vd269) )).
% 0.13/0.36 cnf(matrix-17, plain, ( ~leq(_u2, _u1) | geq(_u1, _u2) )).
% 0.13/0.36 cnf(matrix-18, plain, ( ~geq(_u4, _u3) | leq(_u3, _u4) )).
% 0.13/0.36 cnf(matrix-19, plain, ( ~leq(_u7, _u9) | less(_u7, _u9) | ( _u7 = _u9) )).
% 0.13/0.36 cnf(matrix-20, plain, ( leq(_u8, _u10) | ~less(_u8, _u10) )).
% 0.13/0.36 cnf(matrix-21, plain, ( leq(_u8, _u10) | ( _u8 != _u10) )).
% 0.13/0.36 cnf(matrix-22, plain, ( ~geq(_u13, _u15) | greater(_u13, _u15) | ( _u13 = _u15) )).
% 0.13/0.36 cnf(matrix-23, plain, ( geq(_u14, _u16) | ~greater(_u14, _u16) )).
% 0.13/0.36 cnf(matrix-24, plain, ( geq(_u14, _u16) | ( _u14 != _u16) )).
% 0.13/0.36 cnf(matrix-25, plain, ( ~less(_u18, _u17) | greater(_u17, _u18) )).
% 0.13/0.36 cnf(matrix-26, plain, ( ~greater(_u20, _u19) | less(_u19, _u20) )).
% 0.13/0.36 cnf(matrix-27, plain, ( ( _u22 = _u21) | greater(_u22, _u21) | less(_u22, _u21) )).
% 0.13/0.36 cnf(matrix-28, plain, ( ( _u24 != _u23) | ~less(_u24, _u23) )).
% 0.13/0.36 cnf(matrix-29, plain, ( ~greater(_u26, _u25) | ~less(_u26, _u25) )).
% 0.13/0.36 cnf(matrix-30, plain, ( ( _u28 != _u27) | ~greater(_u28, _u27) )).
% 0.13/0.36 cnf(matrix-31, plain, ( ~less(_u33, _u35) | ( _u35 = vplus(_u33, skolem1(_u35, _u33))) )).
% 0.13/0.36 cnf(matrix-32, plain, ( ( _u36 != vplus(_u34, _u30)) | less(_u34, _u36) )).
% 0.13/0.36 cnf(matrix-33, plain, ( ~greater(_u41, _u43) | ( _u41 = vplus(_u43, skolem2(_u43, _u41))) )).
% 0.13/0.36 cnf(matrix-34, plain, ( ( _u42 != vplus(_u44, _u38)) | greater(_u42, _u44) )).
% 0.13/0.36 cnf(matrix-35, plain, ( ( _u48 = _u47) | ( _u48 = vplus(_u47, skolem3(_u48, _u47))) | ( _u47 = vplus(_u48, skolem4(_u48, _u47))) )).
% 0.13/0.36 cnf(matrix-36, plain, ( ( _u51 != _u50) | ( _u50 != vplus(_u51, _u49)) )).
% 0.13/0.36 cnf(matrix-37, plain, ( ( _u55 != vplus(_u54, _u52)) | ( _u54 != vplus(_u55, _u53)) )).
% 0.13/0.36 cnf(matrix-38, plain, ( ( _u58 != _u57) | ( _u58 != vplus(_u57, _u56)) )).
% 0.13/0.36 cnf(matrix-39, plain, ( ( _u61 = _u60) | ( vplus(_u59, _u61) != vplus(_u59, _u60)) )).
% 0.13/0.36 cnf(matrix-40, plain, ( ( _u62 != vplus(_u63, _u62)) )).
% 0.13/0.36 cnf(matrix-41, plain, ( ( vplus(_u64, _u65) = vplus(_u65, _u64)) )).
% 0.13/0.36 cnf(matrix-42, plain, ( ( vplus(vsucc(_u67), _u66) = vsucc(vplus(_u67, _u66))) )).
% 0.13/0.36 cnf(matrix-43, plain, ( ( vplus(v1, _u68) = vsucc(_u68)) )).
% 0.13/0.36 cnf(matrix-44, plain, ( ( vplus(vplus(_u71, _u70), _u69) = vplus(_u71, vplus(_u70, _u69))) )).
% 0.13/0.36 cnf(matrix-45, plain, ( ( vplus(_u74, v1) = vsucc(_u74)) )).
% 0.13/0.36 cnf(matrix-46, plain, ( ( vplus(_u75, vsucc(_u72)) = vsucc(vplus(_u75, _u72))) )).
% 0.13/0.36 cnf(matrix-47, plain, ( ( _u76 = v1) | ( _u76 = vsucc(vskolem2(_u76))) )).
% 0.13/0.36 cnf(matrix-48, plain, ( ( vsucc(_u77) != _u77) )).
% 0.13/0.36 cnf(matrix-49, plain, ( ( _u79 = _u78) | ( vsucc(_u79) != vsucc(_u78)) )).
% 0.13/0.36 cnf(matrix-50, plain, ( ( vsucc(_u81) != vsucc(_u80)) | ( _u81 = _u80) )).
% 0.13/0.36 cnf(matrix-51, plain, ( ( vsucc(_u82) != v1) )).
% 0.13/0.36
% 0.13/0.36 % Proof stack:
% 0.13/0.36 cnf(proof-stack, plain,
% 0.13/0.36 proof_stack(
% 0.13/0.36 start(14),
% 0.13/0.36 left_branch(0, 31, 1, 2),
% 0.13/0.36 left_branch(0, 16, 0, 3),
% 0.13/0.36 right_branch(3),
% 0.13/0.36 right_branch(2)
% 0.13/0.36 )).
% 0.13/0.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------