TSTP Solution File: NUM838+2 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM838+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 : n003.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 14:28:01 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM838+2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Mar 20 19:29:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start Proof for theBenchmark
% 0.13/0.35
% 0.13/0.35 % Formula: holds(conseq(195), 305, 0) ( conjecture ) (definitionally) converted to clauses:
% 0.13/0.35 cnf(holds(conseq(195), 305, 0)-1, negated_conjecture, ( ~greater(vplus(vd301, vd303), vplus(vd302, vd303)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: holds(antec(195), 304, 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(holds(antec(195), 304, 0)-1, axiom, ( greater(vd301, vd302) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 0)-1, axiom, ( ~less(_u1, _u0) | less(vplus(_u1, _u2), vplus(_u0, _u2)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 1) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 1)-1, axiom, ( ~less(_u4, _u3) | greater(vplus(_u3, _u5), vplus(_u4, _u5)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 2) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 2)-1, axiom, ( ~less(_u7, _u6) | greater(_u6, _u7) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 3) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 3)-1, axiom, ( ( _u10 != _u9) | ( vplus(_u10, _u11) = vplus(_u9, _u11)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 4) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 4)-1, axiom, ( ~greater(_u13, _u12) | greater(vplus(_u13, _u14), vplus(_u12, _u14)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 5) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 5)-1, axiom, ( ~greater(_u16, _u15) | ( vplus(vskolem7(_u16, _u15), vplus(_u15, _u17)) = vplus(vplus(_u15, _u17), vskolem7(_u16, _u15))) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 6) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 6)-1, axiom, ( ~greater(_u19, _u18) | ( vplus(vplus(vskolem7(_u19, _u18), _u18), _u20) = vplus(vskolem7(_u19, _u18), vplus(_u18, _u20))) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 7) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 7)-1, axiom, ( ~greater(_u22, _u21) | ( vplus(vplus(_u21, vskolem7(_u22, _u21)), _u23) = vplus(vplus(vskolem7(_u22, _u21), _u21), _u23)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 8) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 8)-1, axiom, ( ~greater(_u25, _u24) | ( vplus(_u25, _u26) = vplus(vplus(_u24, vskolem7(_u25, _u24)), _u26)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(proof(196), 0), 9) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(proof(196), 0), 9)-1, axiom, ( ~greater(_u28, _u27) | ( _u28 = vplus(_u27, vskolem7(_u28, _u27))) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(189, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(189, 0), 0)-1, axiom, ( greater(vplus(_u31, _u30), _u31) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(184, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(184, 0), 0)-1, axiom, ( ~leq(_u33, _u32) | ~leq(_u34, _u33) | leq(_u34, _u32) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u36, _u35) | greater(_u35, _u36) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u38, _u37) | less(_u37, _u38) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u40 = _u39) | greater(_u40, _u39) | less(_u40, _u39) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u42 != _u41) | ~less(_u42, _u41) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u44, _u43) | ~less(_u44, _u43) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u46 != _u45) | ~greater(_u46, _u45) )).
% 0.13/0.35
% 0.13/0.35 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u51, _u53) | ( _u53 = vplus(_u51, skolem1(_u53, _u51))) )).
% 0.13/0.35 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u54 != vplus(_u52, _u48)) | less(_u52, _u54) )).
% 0.13/0.35
% 0.13/0.35 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u59, _u61) | ( _u59 = vplus(_u61, skolem2(_u61, _u59))) )).
% 0.13/0.35 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u60 != vplus(_u62, _u56)) | greater(_u60, _u62) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u66 = _u65) | ( _u66 = vplus(_u65, skolem3(_u66, _u65))) | ( _u65 = vplus(_u66, skolem4(_u66, _u65))) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u69 != _u68) | ( _u68 != vplus(_u69, _u67)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u73 != vplus(_u72, _u70)) | ( _u72 != vplus(_u73, _u71)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u76 != _u75) | ( _u76 != vplus(_u75, _u74)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u77, _u78) = vplus(_u78, _u77)) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u80), _u79) = vsucc(vplus(_u80, _u79))) )).
% 0.13/0.35
% 0.13/0.35 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u83, _u82), _u81) = vplus(_u83, vplus(_u82, _u81))) )).
% 0.13/0.35
% 0.13/0.35 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.13/0.35 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u86, v1) = vsucc(_u86)) )).
% 0.13/0.35 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u87, vsucc(_u84)) = vsucc(vplus(_u87, _u84))) )).
% 0.13/0.35
% 0.13/0.35 % Problem matrix:
% 0.13/0.35 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.35 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.35 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.35 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.13/0.35 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vskolem7(__eqx_0, __eqx_1) = vskolem7(__eqy_0, __eqy_1)) )).
% 0.13/0.35 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.13/0.35 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.13/0.35 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.13/0.35 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.13/0.35 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.13/0.35 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.13/0.35 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.13/0.35 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.13/0.35 cnf(matrix-13, plain, ( ~greater(vplus(vd301, vd303), vplus(vd302, vd303)) )).
% 0.13/0.35 cnf(matrix-14, plain, ( greater(vd301, vd302) )).
% 0.13/0.35 cnf(matrix-15, plain, ( ~less(_u1, _u0) | less(vplus(_u1, _u2), vplus(_u0, _u2)) )).
% 0.13/0.35 cnf(matrix-16, plain, ( ~less(_u4, _u3) | greater(vplus(_u3, _u5), vplus(_u4, _u5)) )).
% 0.13/0.35 cnf(matrix-17, plain, ( ~less(_u7, _u6) | greater(_u6, _u7) )).
% 0.13/0.35 cnf(matrix-18, plain, ( ( _u10 != _u9) | ( vplus(_u10, _u11) = vplus(_u9, _u11)) )).
% 0.13/0.35 cnf(matrix-19, plain, ( ~greater(_u13, _u12) | greater(vplus(_u13, _u14), vplus(_u12, _u14)) )).
% 0.13/0.35 cnf(matrix-20, plain, ( ~greater(_u16, _u15) | ( vplus(vskolem7(_u16, _u15), vplus(_u15, _u17)) = vplus(vplus(_u15, _u17), vskolem7(_u16, _u15))) )).
% 0.13/0.35 cnf(matrix-21, plain, ( ~greater(_u19, _u18) | ( vplus(vplus(vskolem7(_u19, _u18), _u18), _u20) = vplus(vskolem7(_u19, _u18), vplus(_u18, _u20))) )).
% 0.13/0.35 cnf(matrix-22, plain, ( ~greater(_u22, _u21) | ( vplus(vplus(_u21, vskolem7(_u22, _u21)), _u23) = vplus(vplus(vskolem7(_u22, _u21), _u21), _u23)) )).
% 0.13/0.35 cnf(matrix-23, plain, ( ~greater(_u25, _u24) | ( vplus(_u25, _u26) = vplus(vplus(_u24, vskolem7(_u25, _u24)), _u26)) )).
% 0.13/0.35 cnf(matrix-24, plain, ( ~greater(_u28, _u27) | ( _u28 = vplus(_u27, vskolem7(_u28, _u27))) )).
% 0.13/0.35 cnf(matrix-25, plain, ( greater(vplus(_u31, _u30), _u31) )).
% 0.13/0.35 cnf(matrix-26, plain, ( ~leq(_u33, _u32) | ~leq(_u34, _u33) | leq(_u34, _u32) )).
% 0.13/0.35 cnf(matrix-27, plain, ( ~less(_u36, _u35) | greater(_u35, _u36) )).
% 0.13/0.35 cnf(matrix-28, plain, ( ~greater(_u38, _u37) | less(_u37, _u38) )).
% 0.13/0.35 cnf(matrix-29, plain, ( ( _u40 = _u39) | greater(_u40, _u39) | less(_u40, _u39) )).
% 0.13/0.35 cnf(matrix-30, plain, ( ( _u42 != _u41) | ~less(_u42, _u41) )).
% 0.13/0.35 cnf(matrix-31, plain, ( ~greater(_u44, _u43) | ~less(_u44, _u43) )).
% 0.13/0.35 cnf(matrix-32, plain, ( ( _u46 != _u45) | ~greater(_u46, _u45) )).
% 0.13/0.35 cnf(matrix-33, plain, ( ~less(_u51, _u53) | ( _u53 = vplus(_u51, skolem1(_u53, _u51))) )).
% 0.13/0.35 cnf(matrix-34, plain, ( ( _u54 != vplus(_u52, _u48)) | less(_u52, _u54) )).
% 0.13/0.35 cnf(matrix-35, plain, ( ~greater(_u59, _u61) | ( _u59 = vplus(_u61, skolem2(_u61, _u59))) )).
% 0.13/0.35 cnf(matrix-36, plain, ( ( _u60 != vplus(_u62, _u56)) | greater(_u60, _u62) )).
% 0.13/0.35 cnf(matrix-37, plain, ( ( _u66 = _u65) | ( _u66 = vplus(_u65, skolem3(_u66, _u65))) | ( _u65 = vplus(_u66, skolem4(_u66, _u65))) )).
% 0.13/0.35 cnf(matrix-38, plain, ( ( _u69 != _u68) | ( _u68 != vplus(_u69, _u67)) )).
% 0.13/0.35 cnf(matrix-39, plain, ( ( _u73 != vplus(_u72, _u70)) | ( _u72 != vplus(_u73, _u71)) )).
% 0.13/0.35 cnf(matrix-40, plain, ( ( _u76 != _u75) | ( _u76 != vplus(_u75, _u74)) )).
% 0.13/0.35 cnf(matrix-41, plain, ( ( vplus(_u77, _u78) = vplus(_u78, _u77)) )).
% 0.13/0.35 cnf(matrix-42, plain, ( ( vplus(vsucc(_u80), _u79) = vsucc(vplus(_u80, _u79))) )).
% 0.13/0.35 cnf(matrix-43, plain, ( ( vplus(vplus(_u83, _u82), _u81) = vplus(_u83, vplus(_u82, _u81))) )).
% 0.13/0.35 cnf(matrix-44, plain, ( ( vplus(_u86, v1) = vsucc(_u86)) )).
% 0.13/0.35 cnf(matrix-45, plain, ( ( vplus(_u87, vsucc(_u84)) = vsucc(vplus(_u87, _u84))) )).
% 0.13/0.35
% 0.13/0.35 % Proof stack:
% 0.13/0.35 cnf(proof-stack, plain,
% 0.13/0.35 proof_stack(
% 0.13/0.35 start(13),
% 0.13/0.35 left_branch(0, 19, 1, 2),
% 0.13/0.35 left_branch(0, 14, 0, 3),
% 0.13/0.35 right_branch(3),
% 0.13/0.35 right_branch(2)
% 0.13/0.35 )).
% 0.13/0.35 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------