TSTP Solution File: NUM850+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM850+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 : n020.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 14:28:04 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33 % Computer : n020.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Mar 20 19:01:58 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% 0.20/0.37
% 0.20/0.37 % Formula: qe(conseq_conjunct1(conseq(302))) ( conjecture ) (definitionally) converted to clauses:
% 0.20/0.37 cnf(qe(conseq_conjunct1(conseq(302)))-1, negated_conjecture, ( ( vd470 != vplus(vd471, _u0)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: holds(antec(302), 472, 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(holds(antec(302), 472, 0)-1, axiom, ( greater(vd470, vd471) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(290, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(290, 0), 0)-1, axiom, ( ( vmul(vmul(_u3, _u2), _u1) = vmul(_u3, vmul(_u2, _u1))) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(281, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(281, 0), 0)-1, axiom, ( ( vmul(_u6, vplus(_u5, _u4)) = vplus(vmul(_u6, _u5), vmul(_u6, _u4))) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(270, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(270, 0), 0)-1, axiom, ( ( vmul(_u8, _u7) = vmul(_u7, _u8)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(261, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(261, 0), 0)-1, axiom, ( ( vmul(vsucc(_u10), _u9) = vplus(vmul(_u10, _u9), _u9)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(253, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(253, 0), 0)-1, axiom, ( ( vmul(v1, _u11) = _u11) )).
% 0.20/0.37
% 0.20/0.37 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u14, v1) = _u14) )).
% 0.20/0.37 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-2, axiom, ( ( vmul(_u15, vsucc(_u12)) = vplus(vmul(_u15, _u12), _u15)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(241, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(241, 0), 0)-1, axiom, ( ~less(_u17, vplus(_u16, v1)) | leq(_u17, _u16) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(234, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(234, 0), 0)-1, axiom, ( ~greater(_u19, _u18) | geq(_u19, vplus(_u18, v1)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(228, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(228, 0), 0)-1, axiom, ( geq(_u20, v1) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(223, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(223, 0), 0)-1, axiom, ( ~geq(_u22, _u21) | ~geq(_u24, _u23) | geq(vplus(_u24, _u22), vplus(_u23, _u21)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(216), 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(216), 0), 0)-1, axiom, ( greater(vplus(_u28, _u26), vplus(_u27, _u25)) | ~greater(_u26, _u25) | ~geq(_u28, _u27) )).
% 0.20/0.37 cnf(ass(cond(goal(216), 0), 0)-2, axiom, ( greater(vplus(_u28, _u26), vplus(_u27, _u25)) | ~geq(_u26, _u25) | ~greater(_u28, _u27) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(209, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(209, 0), 0)-1, axiom, ( ~greater(_u30, _u29) | ~greater(_u32, _u31) | greater(vplus(_u32, _u30), vplus(_u31, _u29)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(202), 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(202), 0), 0)-1, axiom, ( less(_u35, _u34) | ~less(vplus(_u35, _u33), vplus(_u34, _u33)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(202), 0), 1) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(202), 0), 1)-1, axiom, ( ( _u38 = _u37) | ( vplus(_u38, _u36) != vplus(_u37, _u36)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(202), 0), 2) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(202), 0), 2)-1, axiom, ( greater(_u41, _u40) | ~greater(vplus(_u41, _u39), vplus(_u40, _u39)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(193), 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(193), 0), 0)-1, axiom, ( ~less(_u44, _u43) | less(vplus(_u44, _u42), vplus(_u43, _u42)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(193), 0), 1) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(193), 0), 1)-1, axiom, ( ( _u47 != _u46) | ( vplus(_u47, _u45) = vplus(_u46, _u45)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(193), 0), 2) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(193), 0), 2)-1, axiom, ( ~greater(_u50, _u49) | greater(vplus(_u50, _u48), vplus(_u49, _u48)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(189, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(189, 0), 0)-1, axiom, ( greater(vplus(_u52, _u51), _u52) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(184, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(184, 0), 0)-1, axiom, ( ~leq(_u54, _u53) | ~leq(_u55, _u54) | leq(_u55, _u53) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(177), 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(177), 0), 0)-1, axiom, ( less(_u58, _u56) | ~less(_u57, _u56) | ~leq(_u58, _u57) )).
% 0.20/0.37 cnf(ass(cond(goal(177), 0), 0)-2, axiom, ( less(_u58, _u56) | ~leq(_u57, _u56) | ~less(_u58, _u57) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(168, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(168, 0), 0)-1, axiom, ( ~less(_u60, _u59) | ~less(_u61, _u60) | less(_u61, _u59) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(163, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(163, 0), 0)-1, axiom, ( ~leq(_u63, _u62) | geq(_u62, _u63) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(158, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(158, 0), 0)-1, axiom, ( ~geq(_u65, _u64) | leq(_u64, _u65) )).
% 0.20/0.37
% 0.20/0.37 % Formula: def(cond(conseq(axiom(3)), 17), 1) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 17), 1)-1, axiom, ( ~leq(_u68, _u70) | less(_u68, _u70) | ( _u68 = _u70) )).
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 17), 1)-2, axiom, ( leq(_u69, _u71) | ~less(_u69, _u71) )).
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 17), 1)-3, axiom, ( leq(_u69, _u71) | ( _u69 != _u71) )).
% 0.20/0.37
% 0.20/0.37 % Formula: def(cond(conseq(axiom(3)), 16), 1) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 16), 1)-1, axiom, ( ~geq(_u74, _u76) | greater(_u74, _u76) | ( _u74 = _u76) )).
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 16), 1)-2, axiom, ( geq(_u75, _u77) | ~greater(_u75, _u77) )).
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 16), 1)-3, axiom, ( geq(_u75, _u77) | ( _u75 != _u77) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u79, _u78) | greater(_u78, _u79) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u81, _u80) | less(_u80, _u81) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u83 = _u82) | greater(_u83, _u82) | less(_u83, _u82) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u85 != _u84) | ~less(_u85, _u84) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u87, _u86) | ~less(_u87, _u86) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u89 != _u88) | ~greater(_u89, _u88) )).
% 0.20/0.37
% 0.20/0.37 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u94, _u96) | ( _u96 = vplus(_u94, skolem1(_u96, _u94))) )).
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u97 != vplus(_u95, _u91)) | less(_u95, _u97) )).
% 0.20/0.37
% 0.20/0.37 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u102, _u104) | ( _u102 = vplus(_u104, skolem2(_u104, _u102))) )).
% 0.20/0.37 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u103 != vplus(_u105, _u99)) | greater(_u103, _u105) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u109 = _u108) | ( _u109 = vplus(_u108, skolem3(_u109, _u108))) | ( _u108 = vplus(_u109, skolem4(_u109, _u108))) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u112 != _u111) | ( _u111 != vplus(_u112, _u110)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u116 != vplus(_u115, _u113)) | ( _u115 != vplus(_u116, _u114)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u119 != _u118) | ( _u119 != vplus(_u118, _u117)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(81, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(81, 0), 0)-1, axiom, ( ( _u122 = _u121) | ( vplus(_u120, _u122) != vplus(_u120, _u121)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(73, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(73, 0), 0)-1, axiom, ( ( _u123 != vplus(_u124, _u123)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u125, _u126) = vplus(_u126, _u125)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u128), _u127) = vsucc(vplus(_u128, _u127))) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u129) = vsucc(_u129)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u132, _u131), _u130) = vplus(_u132, vplus(_u131, _u130))) )).
% 0.20/0.37
% 0.20/0.37 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u135, v1) = vsucc(_u135)) )).
% 0.20/0.37 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u136, vsucc(_u133)) = vsucc(vplus(_u136, _u133))) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u137 = v1) | ( _u137 = vsucc(vskolem2(_u137))) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u138) != _u138) )).
% 0.20/0.37
% 0.20/0.37 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u140 = _u139) | ( vsucc(_u140) != vsucc(_u139)) )).
% 0.20/0.37
% 0.20/0.37 % Formula: qu(antec(axiom(3)), imp(antec(axiom(3)))) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(qu(antec(axiom(3)), imp(antec(axiom(3))))-1, axiom, ( ( vsucc(_u142) != vsucc(_u141)) | ( _u142 = _u141) )).
% 0.20/0.37
% 0.20/0.37 % Formula: qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)) ( axiom ) converted to clauses:
% 0.20/0.37 cnf(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))-1, axiom, ( ( vsucc(_u143) != v1) )).
% 0.20/0.37
% 0.20/0.37 % Problem matrix:
% 0.20/0.37 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.20/0.37 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.20/0.37 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.20/0.37 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.20/0.37 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.20/0.37 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.20/0.37 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.20/0.37 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.20/0.37 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.20/0.37 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.20/0.37 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.20/0.37 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.20/0.37 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.20/0.37 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.20/0.37 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 0.20/0.37 cnf(matrix-15, plain, ( ( vd470 != vplus(vd471, _u0)) )).
% 0.20/0.37 cnf(matrix-16, plain, ( greater(vd470, vd471) )).
% 0.20/0.37 cnf(matrix-17, plain, ( ( vmul(vmul(_u3, _u2), _u1) = vmul(_u3, vmul(_u2, _u1))) )).
% 0.20/0.37 cnf(matrix-18, plain, ( ( vmul(_u6, vplus(_u5, _u4)) = vplus(vmul(_u6, _u5), vmul(_u6, _u4))) )).
% 0.20/0.37 cnf(matrix-19, plain, ( ( vmul(_u8, _u7) = vmul(_u7, _u8)) )).
% 0.20/0.37 cnf(matrix-20, plain, ( ( vmul(vsucc(_u10), _u9) = vplus(vmul(_u10, _u9), _u9)) )).
% 0.20/0.37 cnf(matrix-21, plain, ( ( vmul(v1, _u11) = _u11) )).
% 0.20/0.37 cnf(matrix-22, plain, ( ( vmul(_u14, v1) = _u14) )).
% 0.20/0.37 cnf(matrix-23, plain, ( ( vmul(_u15, vsucc(_u12)) = vplus(vmul(_u15, _u12), _u15)) )).
% 0.20/0.37 cnf(matrix-24, plain, ( ~less(_u17, vplus(_u16, v1)) | leq(_u17, _u16) )).
% 0.20/0.37 cnf(matrix-25, plain, ( ~greater(_u19, _u18) | geq(_u19, vplus(_u18, v1)) )).
% 0.20/0.37 cnf(matrix-26, plain, ( geq(_u20, v1) )).
% 0.20/0.37 cnf(matrix-27, plain, ( ~geq(_u22, _u21) | ~geq(_u24, _u23) | geq(vplus(_u24, _u22), vplus(_u23, _u21)) )).
% 0.20/0.37 cnf(matrix-28, plain, ( greater(vplus(_u28, _u26), vplus(_u27, _u25)) | ~greater(_u26, _u25) | ~geq(_u28, _u27) )).
% 0.20/0.37 cnf(matrix-29, plain, ( greater(vplus(_u28, _u26), vplus(_u27, _u25)) | ~geq(_u26, _u25) | ~greater(_u28, _u27) )).
% 0.20/0.37 cnf(matrix-30, plain, ( ~greater(_u30, _u29) | ~greater(_u32, _u31) | greater(vplus(_u32, _u30), vplus(_u31, _u29)) )).
% 0.20/0.37 cnf(matrix-31, plain, ( less(_u35, _u34) | ~less(vplus(_u35, _u33), vplus(_u34, _u33)) )).
% 0.20/0.37 cnf(matrix-32, plain, ( ( _u38 = _u37) | ( vplus(_u38, _u36) != vplus(_u37, _u36)) )).
% 0.20/0.37 cnf(matrix-33, plain, ( greater(_u41, _u40) | ~greater(vplus(_u41, _u39), vplus(_u40, _u39)) )).
% 0.20/0.37 cnf(matrix-34, plain, ( ~less(_u44, _u43) | less(vplus(_u44, _u42), vplus(_u43, _u42)) )).
% 0.20/0.37 cnf(matrix-35, plain, ( ( _u47 != _u46) | ( vplus(_u47, _u45) = vplus(_u46, _u45)) )).
% 0.20/0.37 cnf(matrix-36, plain, ( ~greater(_u50, _u49) | greater(vplus(_u50, _u48), vplus(_u49, _u48)) )).
% 0.20/0.37 cnf(matrix-37, plain, ( greater(vplus(_u52, _u51), _u52) )).
% 0.20/0.37 cnf(matrix-38, plain, ( ~leq(_u54, _u53) | ~leq(_u55, _u54) | leq(_u55, _u53) )).
% 0.20/0.37 cnf(matrix-39, plain, ( less(_u58, _u56) | ~less(_u57, _u56) | ~leq(_u58, _u57) )).
% 0.20/0.37 cnf(matrix-40, plain, ( less(_u58, _u56) | ~leq(_u57, _u56) | ~less(_u58, _u57) )).
% 0.20/0.37 cnf(matrix-41, plain, ( ~less(_u60, _u59) | ~less(_u61, _u60) | less(_u61, _u59) )).
% 0.20/0.37 cnf(matrix-42, plain, ( ~leq(_u63, _u62) | geq(_u62, _u63) )).
% 0.20/0.37 cnf(matrix-43, plain, ( ~geq(_u65, _u64) | leq(_u64, _u65) )).
% 0.20/0.37 cnf(matrix-44, plain, ( ~leq(_u68, _u70) | less(_u68, _u70) | ( _u68 = _u70) )).
% 0.20/0.37 cnf(matrix-45, plain, ( leq(_u69, _u71) | ~less(_u69, _u71) )).
% 0.20/0.37 cnf(matrix-46, plain, ( leq(_u69, _u71) | ( _u69 != _u71) )).
% 0.20/0.37 cnf(matrix-47, plain, ( ~geq(_u74, _u76) | greater(_u74, _u76) | ( _u74 = _u76) )).
% 0.20/0.37 cnf(matrix-48, plain, ( geq(_u75, _u77) | ~greater(_u75, _u77) )).
% 0.20/0.37 cnf(matrix-49, plain, ( geq(_u75, _u77) | ( _u75 != _u77) )).
% 0.20/0.37 cnf(matrix-50, plain, ( ~less(_u79, _u78) | greater(_u78, _u79) )).
% 0.20/0.37 cnf(matrix-51, plain, ( ~greater(_u81, _u80) | less(_u80, _u81) )).
% 0.20/0.37 cnf(matrix-52, plain, ( ( _u83 = _u82) | greater(_u83, _u82) | less(_u83, _u82) )).
% 0.20/0.37 cnf(matrix-53, plain, ( ( _u85 != _u84) | ~less(_u85, _u84) )).
% 0.20/0.37 cnf(matrix-54, plain, ( ~greater(_u87, _u86) | ~less(_u87, _u86) )).
% 0.20/0.37 cnf(matrix-55, plain, ( ( _u89 != _u88) | ~greater(_u89, _u88) )).
% 0.20/0.37 cnf(matrix-56, plain, ( ~less(_u94, _u96) | ( _u96 = vplus(_u94, skolem1(_u96, _u94))) )).
% 0.20/0.37 cnf(matrix-57, plain, ( ( _u97 != vplus(_u95, _u91)) | less(_u95, _u97) )).
% 0.20/0.37 cnf(matrix-58, plain, ( ~greater(_u102, _u104) | ( _u102 = vplus(_u104, skolem2(_u104, _u102))) )).
% 0.20/0.37 cnf(matrix-59, plain, ( ( _u103 != vplus(_u105, _u99)) | greater(_u103, _u105) )).
% 0.20/0.37 cnf(matrix-60, plain, ( ( _u109 = _u108) | ( _u109 = vplus(_u108, skolem3(_u109, _u108))) | ( _u108 = vplus(_u109, skolem4(_u109, _u108))) )).
% 0.20/0.37 cnf(matrix-61, plain, ( ( _u112 != _u111) | ( _u111 != vplus(_u112, _u110)) )).
% 0.20/0.37 cnf(matrix-62, plain, ( ( _u116 != vplus(_u115, _u113)) | ( _u115 != vplus(_u116, _u114)) )).
% 0.20/0.37 cnf(matrix-63, plain, ( ( _u119 != _u118) | ( _u119 != vplus(_u118, _u117)) )).
% 0.20/0.37 cnf(matrix-64, plain, ( ( _u122 = _u121) | ( vplus(_u120, _u122) != vplus(_u120, _u121)) )).
% 0.20/0.37 cnf(matrix-65, plain, ( ( _u123 != vplus(_u124, _u123)) )).
% 0.20/0.37 cnf(matrix-66, plain, ( ( vplus(_u125, _u126) = vplus(_u126, _u125)) )).
% 0.20/0.37 cnf(matrix-67, plain, ( ( vplus(vsucc(_u128), _u127) = vsucc(vplus(_u128, _u127))) )).
% 0.20/0.37 cnf(matrix-68, plain, ( ( vplus(v1, _u129) = vsucc(_u129)) )).
% 0.20/0.37 cnf(matrix-69, plain, ( ( vplus(vplus(_u132, _u131), _u130) = vplus(_u132, vplus(_u131, _u130))) )).
% 0.20/0.37 cnf(matrix-70, plain, ( ( vplus(_u135, v1) = vsucc(_u135)) )).
% 0.20/0.37 cnf(matrix-71, plain, ( ( vplus(_u136, vsucc(_u133)) = vsucc(vplus(_u136, _u133))) )).
% 0.20/0.37 cnf(matrix-72, plain, ( ( _u137 = v1) | ( _u137 = vsucc(vskolem2(_u137))) )).
% 0.20/0.37 cnf(matrix-73, plain, ( ( vsucc(_u138) != _u138) )).
% 0.20/0.37 cnf(matrix-74, plain, ( ( _u140 = _u139) | ( vsucc(_u140) != vsucc(_u139)) )).
% 0.20/0.37 cnf(matrix-75, plain, ( ( vsucc(_u142) != vsucc(_u141)) | ( _u142 = _u141) )).
% 0.20/0.37 cnf(matrix-76, plain, ( ( vsucc(_u143) != v1) )).
% 0.20/0.37
% 0.20/0.37 % Proof stack:
% 0.20/0.37 cnf(proof-stack, plain,
% 0.20/0.37 proof_stack(
% 0.20/0.37 start(15),
% 0.20/0.37 left_branch(0, 58, 1, 2),
% 0.20/0.37 left_branch(0, 16, 0, 3),
% 0.20/0.37 right_branch(3),
% 0.20/0.37 right_branch(2)
% 0.20/0.37 )).
% 0.20/0.37 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------