TSTP Solution File: NUM843+2 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM843+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 : n018.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 14:28:02 EDT 2024
% Result : Theorem 0.38s 0.54s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM843+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Mar 20 20:06:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.38/0.54 % SZS status Theorem for theBenchmark
% 0.38/0.54 % SZS output start Proof for theBenchmark
% 0.38/0.54
% 0.38/0.54 % Formula: holds(244, 394, 0) ( conjecture ) (definitionally) converted to clauses:
% 0.38/0.54 cnf(holds(244, 394, 0)-1, negated_conjecture, ( ~greater(vd390, vd391) )).
% 0.38/0.54
% 0.38/0.54 % Formula: holds(conjunct2(243), 393, 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(holds(conjunct2(243), 393, 0)-1, axiom, ( ~leq(vd390, vd391) )).
% 0.38/0.54
% 0.38/0.54 % Formula: holds(conjunct1(243), 392, 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(holds(conjunct1(243), 392, 0)-1, axiom, ( less(vd390, vplus(vd391, v1)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(234, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(234, 0), 0)-1, axiom, ( ~greater(_u1, _u0) | geq(_u1, vplus(_u0, v1)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(228, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(228, 0), 0)-1, axiom, ( geq(_u2, v1) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(223, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(223, 0), 0)-1, axiom, ( ~geq(_u4, _u3) | ~geq(_u6, _u5) | geq(vplus(_u6, _u4), vplus(_u5, _u3)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(216), 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(216), 0), 0)-1, axiom, ( greater(vplus(_u10, _u8), vplus(_u9, _u7)) | ~greater(_u8, _u7) | ~geq(_u10, _u9) )).
% 0.38/0.54 cnf(ass(cond(goal(216), 0), 0)-2, axiom, ( greater(vplus(_u10, _u8), vplus(_u9, _u7)) | ~geq(_u8, _u7) | ~greater(_u10, _u9) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(209, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(209, 0), 0)-1, axiom, ( ~greater(_u12, _u11) | ~greater(_u14, _u13) | greater(vplus(_u14, _u12), vplus(_u13, _u11)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(202), 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(202), 0), 0)-1, axiom, ( less(_u17, _u16) | ~less(vplus(_u17, _u15), vplus(_u16, _u15)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(202), 0), 1) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(202), 0), 1)-1, axiom, ( ( _u20 = _u19) | ( vplus(_u20, _u18) != vplus(_u19, _u18)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(202), 0), 2) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(202), 0), 2)-1, axiom, ( greater(_u23, _u22) | ~greater(vplus(_u23, _u21), vplus(_u22, _u21)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(193), 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(193), 0), 0)-1, axiom, ( ~less(_u26, _u25) | less(vplus(_u26, _u24), vplus(_u25, _u24)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(193), 0), 1) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(193), 0), 1)-1, axiom, ( ( _u29 != _u28) | ( vplus(_u29, _u27) = vplus(_u28, _u27)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(193), 0), 2) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(193), 0), 2)-1, axiom, ( ~greater(_u32, _u31) | greater(vplus(_u32, _u30), vplus(_u31, _u30)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(189, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(189, 0), 0)-1, axiom, ( greater(vplus(_u34, _u33), _u34) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(184, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(184, 0), 0)-1, axiom, ( ~leq(_u36, _u35) | ~leq(_u37, _u36) | leq(_u37, _u35) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(177), 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(177), 0), 0)-1, axiom, ( less(_u40, _u38) | ~less(_u39, _u38) | ~leq(_u40, _u39) )).
% 0.38/0.54 cnf(ass(cond(goal(177), 0), 0)-2, axiom, ( less(_u40, _u38) | ~leq(_u39, _u38) | ~less(_u40, _u39) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(168, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(168, 0), 0)-1, axiom, ( ~less(_u42, _u41) | ~less(_u43, _u42) | less(_u43, _u41) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(163, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(163, 0), 0)-1, axiom, ( ~leq(_u45, _u44) | geq(_u44, _u45) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(158, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(158, 0), 0)-1, axiom, ( ~geq(_u47, _u46) | leq(_u46, _u47) )).
% 0.38/0.54
% 0.38/0.54 % Formula: def(cond(conseq(axiom(3)), 17), 1) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 17), 1)-1, axiom, ( ~leq(_u50, _u52) | less(_u50, _u52) | ( _u50 = _u52) )).
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 17), 1)-2, axiom, ( leq(_u51, _u53) | ~less(_u51, _u53) )).
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 17), 1)-3, axiom, ( leq(_u51, _u53) | ( _u51 != _u53) )).
% 0.38/0.54
% 0.38/0.54 % Formula: def(cond(conseq(axiom(3)), 16), 1) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 16), 1)-1, axiom, ( ~geq(_u56, _u58) | greater(_u56, _u58) | ( _u56 = _u58) )).
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 16), 1)-2, axiom, ( geq(_u57, _u59) | ~greater(_u57, _u59) )).
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 16), 1)-3, axiom, ( geq(_u57, _u59) | ( _u57 != _u59) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u61, _u60) | greater(_u60, _u61) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u63, _u62) | less(_u62, _u63) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u65 = _u64) | greater(_u65, _u64) | less(_u65, _u64) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u67 != _u66) | ~less(_u67, _u66) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u69, _u68) | ~less(_u69, _u68) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u71 != _u70) | ~greater(_u71, _u70) )).
% 0.38/0.54
% 0.38/0.54 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u76, _u78) | ( _u78 = vplus(_u76, skolem1(_u78, _u76))) )).
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u79 != vplus(_u77, _u73)) | less(_u77, _u79) )).
% 0.38/0.54
% 0.38/0.54 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u84, _u86) | ( _u84 = vplus(_u86, skolem2(_u86, _u84))) )).
% 0.38/0.54 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u85 != vplus(_u87, _u81)) | greater(_u85, _u87) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u91 = _u90) | ( _u91 = vplus(_u90, skolem3(_u91, _u90))) | ( _u90 = vplus(_u91, skolem4(_u91, _u90))) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u94 != _u93) | ( _u93 != vplus(_u94, _u92)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u98 != vplus(_u97, _u95)) | ( _u97 != vplus(_u98, _u96)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u101 != _u100) | ( _u101 != vplus(_u100, _u99)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(81, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(81, 0), 0)-1, axiom, ( ( _u104 = _u103) | ( vplus(_u102, _u104) != vplus(_u102, _u103)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(73, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(73, 0), 0)-1, axiom, ( ( _u105 != vplus(_u106, _u105)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u107, _u108) = vplus(_u108, _u107)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u110), _u109) = vsucc(vplus(_u110, _u109))) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u111) = vsucc(_u111)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u114, _u113), _u112) = vplus(_u114, vplus(_u113, _u112))) )).
% 0.38/0.54
% 0.38/0.54 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u117, v1) = vsucc(_u117)) )).
% 0.38/0.54 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u118, vsucc(_u115)) = vsucc(vplus(_u118, _u115))) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u119 = v1) | ( _u119 = vsucc(vskolem2(_u119))) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u120) != _u120) )).
% 0.38/0.54
% 0.38/0.54 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u122 = _u121) | ( vsucc(_u122) != vsucc(_u121)) )).
% 0.38/0.54
% 0.38/0.54 % Formula: qu(antec(axiom(3)), imp(antec(axiom(3)))) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(qu(antec(axiom(3)), imp(antec(axiom(3))))-1, axiom, ( ( vsucc(_u124) != vsucc(_u123)) | ( _u124 = _u123) )).
% 0.38/0.54
% 0.38/0.54 % Formula: qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)) ( axiom ) converted to clauses:
% 0.38/0.54 cnf(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))-1, axiom, ( ( vsucc(_u125) != v1) )).
% 0.38/0.54
% 0.38/0.54 % Problem matrix:
% 0.38/0.54 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.38/0.54 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.38/0.54 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.38/0.54 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.38/0.54 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.38/0.54 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.38/0.54 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.38/0.54 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.38/0.54 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.38/0.54 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.38/0.54 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.38/0.54 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.38/0.54 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.38/0.54 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 0.38/0.54 cnf(matrix-14, plain, ( ~greater(vd390, vd391) )).
% 0.38/0.54 cnf(matrix-15, plain, ( ~leq(vd390, vd391) )).
% 0.38/0.54 cnf(matrix-16, plain, ( less(vd390, vplus(vd391, v1)) )).
% 0.38/0.54 cnf(matrix-17, plain, ( ~greater(_u1, _u0) | geq(_u1, vplus(_u0, v1)) )).
% 0.38/0.54 cnf(matrix-18, plain, ( geq(_u2, v1) )).
% 0.38/0.54 cnf(matrix-19, plain, ( ~geq(_u4, _u3) | ~geq(_u6, _u5) | geq(vplus(_u6, _u4), vplus(_u5, _u3)) )).
% 0.38/0.54 cnf(matrix-20, plain, ( greater(vplus(_u10, _u8), vplus(_u9, _u7)) | ~greater(_u8, _u7) | ~geq(_u10, _u9) )).
% 0.38/0.54 cnf(matrix-21, plain, ( greater(vplus(_u10, _u8), vplus(_u9, _u7)) | ~geq(_u8, _u7) | ~greater(_u10, _u9) )).
% 0.38/0.54 cnf(matrix-22, plain, ( ~greater(_u12, _u11) | ~greater(_u14, _u13) | greater(vplus(_u14, _u12), vplus(_u13, _u11)) )).
% 0.38/0.54 cnf(matrix-23, plain, ( less(_u17, _u16) | ~less(vplus(_u17, _u15), vplus(_u16, _u15)) )).
% 0.38/0.54 cnf(matrix-24, plain, ( ( _u20 = _u19) | ( vplus(_u20, _u18) != vplus(_u19, _u18)) )).
% 0.38/0.54 cnf(matrix-25, plain, ( greater(_u23, _u22) | ~greater(vplus(_u23, _u21), vplus(_u22, _u21)) )).
% 0.38/0.54 cnf(matrix-26, plain, ( ~less(_u26, _u25) | less(vplus(_u26, _u24), vplus(_u25, _u24)) )).
% 0.38/0.54 cnf(matrix-27, plain, ( ( _u29 != _u28) | ( vplus(_u29, _u27) = vplus(_u28, _u27)) )).
% 0.38/0.54 cnf(matrix-28, plain, ( ~greater(_u32, _u31) | greater(vplus(_u32, _u30), vplus(_u31, _u30)) )).
% 0.38/0.54 cnf(matrix-29, plain, ( greater(vplus(_u34, _u33), _u34) )).
% 0.38/0.54 cnf(matrix-30, plain, ( ~leq(_u36, _u35) | ~leq(_u37, _u36) | leq(_u37, _u35) )).
% 0.38/0.54 cnf(matrix-31, plain, ( less(_u40, _u38) | ~less(_u39, _u38) | ~leq(_u40, _u39) )).
% 0.38/0.54 cnf(matrix-32, plain, ( less(_u40, _u38) | ~leq(_u39, _u38) | ~less(_u40, _u39) )).
% 0.38/0.54 cnf(matrix-33, plain, ( ~less(_u42, _u41) | ~less(_u43, _u42) | less(_u43, _u41) )).
% 0.38/0.54 cnf(matrix-34, plain, ( ~leq(_u45, _u44) | geq(_u44, _u45) )).
% 0.38/0.54 cnf(matrix-35, plain, ( ~geq(_u47, _u46) | leq(_u46, _u47) )).
% 0.38/0.54 cnf(matrix-36, plain, ( ~leq(_u50, _u52) | less(_u50, _u52) | ( _u50 = _u52) )).
% 0.38/0.54 cnf(matrix-37, plain, ( leq(_u51, _u53) | ~less(_u51, _u53) )).
% 0.38/0.54 cnf(matrix-38, plain, ( leq(_u51, _u53) | ( _u51 != _u53) )).
% 0.38/0.54 cnf(matrix-39, plain, ( ~geq(_u56, _u58) | greater(_u56, _u58) | ( _u56 = _u58) )).
% 0.38/0.54 cnf(matrix-40, plain, ( geq(_u57, _u59) | ~greater(_u57, _u59) )).
% 0.38/0.54 cnf(matrix-41, plain, ( geq(_u57, _u59) | ( _u57 != _u59) )).
% 0.38/0.54 cnf(matrix-42, plain, ( ~less(_u61, _u60) | greater(_u60, _u61) )).
% 0.38/0.54 cnf(matrix-43, plain, ( ~greater(_u63, _u62) | less(_u62, _u63) )).
% 0.38/0.54 cnf(matrix-44, plain, ( ( _u65 = _u64) | greater(_u65, _u64) | less(_u65, _u64) )).
% 0.38/0.54 cnf(matrix-45, plain, ( ( _u67 != _u66) | ~less(_u67, _u66) )).
% 0.38/0.54 cnf(matrix-46, plain, ( ~greater(_u69, _u68) | ~less(_u69, _u68) )).
% 0.38/0.54 cnf(matrix-47, plain, ( ( _u71 != _u70) | ~greater(_u71, _u70) )).
% 0.38/0.54 cnf(matrix-48, plain, ( ~less(_u76, _u78) | ( _u78 = vplus(_u76, skolem1(_u78, _u76))) )).
% 0.38/0.54 cnf(matrix-49, plain, ( ( _u79 != vplus(_u77, _u73)) | less(_u77, _u79) )).
% 0.38/0.54 cnf(matrix-50, plain, ( ~greater(_u84, _u86) | ( _u84 = vplus(_u86, skolem2(_u86, _u84))) )).
% 0.38/0.54 cnf(matrix-51, plain, ( ( _u85 != vplus(_u87, _u81)) | greater(_u85, _u87) )).
% 0.38/0.54 cnf(matrix-52, plain, ( ( _u91 = _u90) | ( _u91 = vplus(_u90, skolem3(_u91, _u90))) | ( _u90 = vplus(_u91, skolem4(_u91, _u90))) )).
% 0.38/0.54 cnf(matrix-53, plain, ( ( _u94 != _u93) | ( _u93 != vplus(_u94, _u92)) )).
% 0.38/0.54 cnf(matrix-54, plain, ( ( _u98 != vplus(_u97, _u95)) | ( _u97 != vplus(_u98, _u96)) )).
% 0.38/0.54 cnf(matrix-55, plain, ( ( _u101 != _u100) | ( _u101 != vplus(_u100, _u99)) )).
% 0.38/0.54 cnf(matrix-56, plain, ( ( _u104 = _u103) | ( vplus(_u102, _u104) != vplus(_u102, _u103)) )).
% 0.38/0.54 cnf(matrix-57, plain, ( ( _u105 != vplus(_u106, _u105)) )).
% 0.38/0.54 cnf(matrix-58, plain, ( ( vplus(_u107, _u108) = vplus(_u108, _u107)) )).
% 0.38/0.54 cnf(matrix-59, plain, ( ( vplus(vsucc(_u110), _u109) = vsucc(vplus(_u110, _u109))) )).
% 0.38/0.54 cnf(matrix-60, plain, ( ( vplus(v1, _u111) = vsucc(_u111)) )).
% 0.38/0.54 cnf(matrix-61, plain, ( ( vplus(vplus(_u114, _u113), _u112) = vplus(_u114, vplus(_u113, _u112))) )).
% 0.38/0.54 cnf(matrix-62, plain, ( ( vplus(_u117, v1) = vsucc(_u117)) )).
% 0.38/0.54 cnf(matrix-63, plain, ( ( vplus(_u118, vsucc(_u115)) = vsucc(vplus(_u118, _u115))) )).
% 0.38/0.54 cnf(matrix-64, plain, ( ( _u119 = v1) | ( _u119 = vsucc(vskolem2(_u119))) )).
% 0.38/0.54 cnf(matrix-65, plain, ( ( vsucc(_u120) != _u120) )).
% 0.38/0.54 cnf(matrix-66, plain, ( ( _u122 = _u121) | ( vsucc(_u122) != vsucc(_u121)) )).
% 0.38/0.54 cnf(matrix-67, plain, ( ( vsucc(_u124) != vsucc(_u123)) | ( _u124 = _u123) )).
% 0.38/0.54 cnf(matrix-68, plain, ( ( vsucc(_u125) != v1) )).
% 0.38/0.54
% 0.38/0.54 % Proof stack:
% 0.38/0.54 cnf(proof-stack, plain,
% 0.38/0.54 proof_stack(
% 0.38/0.54 start(14),
% 0.38/0.54 left_branch(0, 44, 1, 2),
% 0.38/0.54 left_branch(0, 38, 1, 3),
% 0.38/0.54 left_branch(0, 15, 0, 4),
% 0.38/0.54 right_branch(4),
% 0.38/0.54 right_branch(3),
% 0.38/0.54 left_branch(0, 37, 1, 4),
% 0.38/0.54 left_branch(0, 15, 0, 5),
% 0.38/0.54 right_branch(5),
% 0.38/0.54 right_branch(4),
% 0.38/0.54 right_branch(2)
% 0.38/0.54 )).
% 0.38/0.54 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------