TSTP Solution File: NUM853+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM853+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 : n013.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 14:28:05 EDT 2024
% Result : Theorem 2.07s 2.25s
% Output : Proof 2.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM853+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Mar 20 19:58:18 EDT 2024
% 0.14/0.34 % CPUTime :
% 2.07/2.25 % SZS status Theorem for theBenchmark
% 2.07/2.25 % SZS output start Proof for theBenchmark
% 2.07/2.25
% 2.07/2.25 % Formula: holds(conseq(307), 490, 0) ( conjecture ) (definitionally) converted to clauses:
% 2.07/2.25 cnf(holds(conseq(307), 490, 0)-1, negated_conjecture, ( ~greater(vd486, vd488) )).
% 2.07/2.25
% 2.07/2.25 % Formula: holds(antec(307), 489, 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(holds(antec(307), 489, 0)-1, axiom, ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(299, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(299, 0), 0)-1, axiom, ( ~less(_u1, _u0) | less(vmul(_u1, _u2), vmul(_u0, _u2)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(299, 0), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(299, 0), 1)-1, axiom, ( ( _u4 != _u3) | ( vmul(_u4, _u5) = vmul(_u3, _u5)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(299, 0), 2) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(299, 0), 2)-1, axiom, ( ~greater(_u7, _u6) | greater(vmul(_u7, _u8), vmul(_u6, _u8)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(290, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(290, 0), 0)-1, axiom, ( ( vmul(vmul(_u11, _u10), _u9) = vmul(_u11, vmul(_u10, _u9))) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(281, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(281, 0), 0)-1, axiom, ( ( vmul(_u14, vplus(_u13, _u12)) = vplus(vmul(_u14, _u13), vmul(_u14, _u12))) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(270, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(270, 0), 0)-1, axiom, ( ( vmul(_u16, _u15) = vmul(_u15, _u16)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(261, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(261, 0), 0)-1, axiom, ( ( vmul(vsucc(_u18), _u17) = vplus(vmul(_u18, _u17), _u17)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(253, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(253, 0), 0)-1, axiom, ( ( vmul(v1, _u19) = _u19) )).
% 2.07/2.25
% 2.07/2.25 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u22, v1) = _u22) )).
% 2.07/2.25 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-2, axiom, ( ( vmul(_u23, vsucc(_u20)) = vplus(vmul(_u23, _u20), _u23)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(241, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(241, 0), 0)-1, axiom, ( ~less(_u25, vplus(_u24, v1)) | leq(_u25, _u24) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(234, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(234, 0), 0)-1, axiom, ( ~greater(_u27, _u26) | geq(_u27, vplus(_u26, v1)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(228, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(228, 0), 0)-1, axiom, ( geq(_u28, v1) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(223, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(223, 0), 0)-1, axiom, ( ~geq(_u30, _u29) | ~geq(_u32, _u31) | geq(vplus(_u32, _u30), vplus(_u31, _u29)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(216), 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(216), 0), 0)-1, axiom, ( greater(vplus(_u36, _u34), vplus(_u35, _u33)) | ~greater(_u34, _u33) | ~geq(_u36, _u35) )).
% 2.07/2.25 cnf(ass(cond(goal(216), 0), 0)-2, axiom, ( greater(vplus(_u36, _u34), vplus(_u35, _u33)) | ~geq(_u34, _u33) | ~greater(_u36, _u35) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(209, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(209, 0), 0)-1, axiom, ( ~greater(_u38, _u37) | ~greater(_u40, _u39) | greater(vplus(_u40, _u38), vplus(_u39, _u37)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(202), 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(202), 0), 0)-1, axiom, ( less(_u43, _u42) | ~less(vplus(_u43, _u41), vplus(_u42, _u41)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(202), 0), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(202), 0), 1)-1, axiom, ( ( _u46 = _u45) | ( vplus(_u46, _u44) != vplus(_u45, _u44)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(202), 0), 2) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(202), 0), 2)-1, axiom, ( greater(_u49, _u48) | ~greater(vplus(_u49, _u47), vplus(_u48, _u47)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(193), 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(193), 0), 0)-1, axiom, ( ~less(_u52, _u51) | less(vplus(_u52, _u50), vplus(_u51, _u50)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(193), 0), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(193), 0), 1)-1, axiom, ( ( _u55 != _u54) | ( vplus(_u55, _u53) = vplus(_u54, _u53)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(193), 0), 2) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(193), 0), 2)-1, axiom, ( ~greater(_u58, _u57) | greater(vplus(_u58, _u56), vplus(_u57, _u56)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(189, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(189, 0), 0)-1, axiom, ( greater(vplus(_u60, _u59), _u60) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(184, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(184, 0), 0)-1, axiom, ( ~leq(_u62, _u61) | ~leq(_u63, _u62) | leq(_u63, _u61) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(177), 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(177), 0), 0)-1, axiom, ( less(_u66, _u64) | ~less(_u65, _u64) | ~leq(_u66, _u65) )).
% 2.07/2.25 cnf(ass(cond(goal(177), 0), 0)-2, axiom, ( less(_u66, _u64) | ~leq(_u65, _u64) | ~less(_u66, _u65) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(168, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(168, 0), 0)-1, axiom, ( ~less(_u68, _u67) | ~less(_u69, _u68) | less(_u69, _u67) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(163, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(163, 0), 0)-1, axiom, ( ~leq(_u71, _u70) | geq(_u70, _u71) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(158, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(158, 0), 0)-1, axiom, ( ~geq(_u73, _u72) | leq(_u72, _u73) )).
% 2.07/2.25
% 2.07/2.25 % Formula: def(cond(conseq(axiom(3)), 17), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 17), 1)-1, axiom, ( ~leq(_u76, _u78) | less(_u76, _u78) | ( _u76 = _u78) )).
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 17), 1)-2, axiom, ( leq(_u77, _u79) | ~less(_u77, _u79) )).
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 17), 1)-3, axiom, ( leq(_u77, _u79) | ( _u77 != _u79) )).
% 2.07/2.25
% 2.07/2.25 % Formula: def(cond(conseq(axiom(3)), 16), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 16), 1)-1, axiom, ( ~geq(_u82, _u84) | greater(_u82, _u84) | ( _u82 = _u84) )).
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 16), 1)-2, axiom, ( geq(_u83, _u85) | ~greater(_u83, _u85) )).
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 16), 1)-3, axiom, ( geq(_u83, _u85) | ( _u83 != _u85) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u87, _u86) | greater(_u86, _u87) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u89, _u88) | less(_u88, _u89) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u91 = _u90) | greater(_u91, _u90) | less(_u91, _u90) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u93 != _u92) | ~less(_u93, _u92) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u95, _u94) | ~less(_u95, _u94) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u97 != _u96) | ~greater(_u97, _u96) )).
% 2.07/2.25
% 2.07/2.25 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u102, _u104) | ( _u104 = vplus(_u102, skolem1(_u104, _u102))) )).
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u105 != vplus(_u103, _u99)) | less(_u103, _u105) )).
% 2.07/2.25
% 2.07/2.25 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u110, _u112) | ( _u110 = vplus(_u112, skolem2(_u112, _u110))) )).
% 2.07/2.25 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u111 != vplus(_u113, _u107)) | greater(_u111, _u113) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u117 = _u116) | ( _u117 = vplus(_u116, skolem3(_u117, _u116))) | ( _u116 = vplus(_u117, skolem4(_u117, _u116))) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u120 != _u119) | ( _u119 != vplus(_u120, _u118)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u124 != vplus(_u123, _u121)) | ( _u123 != vplus(_u124, _u122)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u127 != _u126) | ( _u127 != vplus(_u126, _u125)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(81, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(81, 0), 0)-1, axiom, ( ( _u130 = _u129) | ( vplus(_u128, _u130) != vplus(_u128, _u129)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(73, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(73, 0), 0)-1, axiom, ( ( _u131 != vplus(_u132, _u131)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u133, _u134) = vplus(_u134, _u133)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u136), _u135) = vsucc(vplus(_u136, _u135))) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u137) = vsucc(_u137)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u140, _u139), _u138) = vplus(_u140, vplus(_u139, _u138))) )).
% 2.07/2.25
% 2.07/2.25 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u143, v1) = vsucc(_u143)) )).
% 2.07/2.25 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u144, vsucc(_u141)) = vsucc(vplus(_u144, _u141))) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u145 = v1) | ( _u145 = vsucc(vskolem2(_u145))) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u146) != _u146) )).
% 2.07/2.25
% 2.07/2.25 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u148 = _u147) | ( vsucc(_u148) != vsucc(_u147)) )).
% 2.07/2.25
% 2.07/2.25 % Formula: qu(antec(axiom(3)), imp(antec(axiom(3)))) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(qu(antec(axiom(3)), imp(antec(axiom(3))))-1, axiom, ( ( vsucc(_u150) != vsucc(_u149)) | ( _u150 = _u149) )).
% 2.07/2.25
% 2.07/2.25 % Formula: qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)) ( axiom ) converted to clauses:
% 2.07/2.25 cnf(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))-1, axiom, ( ( vsucc(_u151) != v1) )).
% 2.07/2.25
% 2.07/2.25 % Problem matrix:
% 2.07/2.25 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 2.07/2.25 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 2.07/2.25 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 2.07/2.25 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 2.07/2.25 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 2.07/2.25 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 2.07/2.25 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 2.07/2.25 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 2.07/2.25 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 2.07/2.25 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 2.07/2.25 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 2.07/2.25 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 2.07/2.25 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 2.07/2.25 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 2.07/2.25 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 2.07/2.25 cnf(matrix-15, plain, ( ~greater(vd486, vd488) )).
% 2.07/2.25 cnf(matrix-16, plain, ( greater(vmul(vd486, vd487), vmul(vd488, vd487)) )).
% 2.07/2.25 cnf(matrix-17, plain, ( ~less(_u1, _u0) | less(vmul(_u1, _u2), vmul(_u0, _u2)) )).
% 2.07/2.25 cnf(matrix-18, plain, ( ( _u4 != _u3) | ( vmul(_u4, _u5) = vmul(_u3, _u5)) )).
% 2.07/2.25 cnf(matrix-19, plain, ( ~greater(_u7, _u6) | greater(vmul(_u7, _u8), vmul(_u6, _u8)) )).
% 2.07/2.25 cnf(matrix-20, plain, ( ( vmul(vmul(_u11, _u10), _u9) = vmul(_u11, vmul(_u10, _u9))) )).
% 2.07/2.25 cnf(matrix-21, plain, ( ( vmul(_u14, vplus(_u13, _u12)) = vplus(vmul(_u14, _u13), vmul(_u14, _u12))) )).
% 2.07/2.25 cnf(matrix-22, plain, ( ( vmul(_u16, _u15) = vmul(_u15, _u16)) )).
% 2.07/2.25 cnf(matrix-23, plain, ( ( vmul(vsucc(_u18), _u17) = vplus(vmul(_u18, _u17), _u17)) )).
% 2.07/2.25 cnf(matrix-24, plain, ( ( vmul(v1, _u19) = _u19) )).
% 2.07/2.25 cnf(matrix-25, plain, ( ( vmul(_u22, v1) = _u22) )).
% 2.07/2.25 cnf(matrix-26, plain, ( ( vmul(_u23, vsucc(_u20)) = vplus(vmul(_u23, _u20), _u23)) )).
% 2.07/2.25 cnf(matrix-27, plain, ( ~less(_u25, vplus(_u24, v1)) | leq(_u25, _u24) )).
% 2.07/2.25 cnf(matrix-28, plain, ( ~greater(_u27, _u26) | geq(_u27, vplus(_u26, v1)) )).
% 2.07/2.25 cnf(matrix-29, plain, ( geq(_u28, v1) )).
% 2.07/2.25 cnf(matrix-30, plain, ( ~geq(_u30, _u29) | ~geq(_u32, _u31) | geq(vplus(_u32, _u30), vplus(_u31, _u29)) )).
% 2.07/2.25 cnf(matrix-31, plain, ( greater(vplus(_u36, _u34), vplus(_u35, _u33)) | ~greater(_u34, _u33) | ~geq(_u36, _u35) )).
% 2.07/2.25 cnf(matrix-32, plain, ( greater(vplus(_u36, _u34), vplus(_u35, _u33)) | ~geq(_u34, _u33) | ~greater(_u36, _u35) )).
% 2.07/2.25 cnf(matrix-33, plain, ( ~greater(_u38, _u37) | ~greater(_u40, _u39) | greater(vplus(_u40, _u38), vplus(_u39, _u37)) )).
% 2.07/2.25 cnf(matrix-34, plain, ( less(_u43, _u42) | ~less(vplus(_u43, _u41), vplus(_u42, _u41)) )).
% 2.07/2.25 cnf(matrix-35, plain, ( ( _u46 = _u45) | ( vplus(_u46, _u44) != vplus(_u45, _u44)) )).
% 2.07/2.25 cnf(matrix-36, plain, ( greater(_u49, _u48) | ~greater(vplus(_u49, _u47), vplus(_u48, _u47)) )).
% 2.07/2.25 cnf(matrix-37, plain, ( ~less(_u52, _u51) | less(vplus(_u52, _u50), vplus(_u51, _u50)) )).
% 2.07/2.25 cnf(matrix-38, plain, ( ( _u55 != _u54) | ( vplus(_u55, _u53) = vplus(_u54, _u53)) )).
% 2.07/2.25 cnf(matrix-39, plain, ( ~greater(_u58, _u57) | greater(vplus(_u58, _u56), vplus(_u57, _u56)) )).
% 2.07/2.25 cnf(matrix-40, plain, ( greater(vplus(_u60, _u59), _u60) )).
% 2.07/2.25 cnf(matrix-41, plain, ( ~leq(_u62, _u61) | ~leq(_u63, _u62) | leq(_u63, _u61) )).
% 2.07/2.25 cnf(matrix-42, plain, ( less(_u66, _u64) | ~less(_u65, _u64) | ~leq(_u66, _u65) )).
% 2.07/2.25 cnf(matrix-43, plain, ( less(_u66, _u64) | ~leq(_u65, _u64) | ~less(_u66, _u65) )).
% 2.07/2.25 cnf(matrix-44, plain, ( ~less(_u68, _u67) | ~less(_u69, _u68) | less(_u69, _u67) )).
% 2.07/2.25 cnf(matrix-45, plain, ( ~leq(_u71, _u70) | geq(_u70, _u71) )).
% 2.07/2.25 cnf(matrix-46, plain, ( ~geq(_u73, _u72) | leq(_u72, _u73) )).
% 2.07/2.25 cnf(matrix-47, plain, ( ~leq(_u76, _u78) | less(_u76, _u78) | ( _u76 = _u78) )).
% 2.07/2.25 cnf(matrix-48, plain, ( leq(_u77, _u79) | ~less(_u77, _u79) )).
% 2.07/2.25 cnf(matrix-49, plain, ( leq(_u77, _u79) | ( _u77 != _u79) )).
% 2.07/2.25 cnf(matrix-50, plain, ( ~geq(_u82, _u84) | greater(_u82, _u84) | ( _u82 = _u84) )).
% 2.07/2.25 cnf(matrix-51, plain, ( geq(_u83, _u85) | ~greater(_u83, _u85) )).
% 2.07/2.25 cnf(matrix-52, plain, ( geq(_u83, _u85) | ( _u83 != _u85) )).
% 2.07/2.25 cnf(matrix-53, plain, ( ~less(_u87, _u86) | greater(_u86, _u87) )).
% 2.07/2.25 cnf(matrix-54, plain, ( ~greater(_u89, _u88) | less(_u88, _u89) )).
% 2.07/2.25 cnf(matrix-55, plain, ( ( _u91 = _u90) | greater(_u91, _u90) | less(_u91, _u90) )).
% 2.07/2.25 cnf(matrix-56, plain, ( ( _u93 != _u92) | ~less(_u93, _u92) )).
% 2.07/2.25 cnf(matrix-57, plain, ( ~greater(_u95, _u94) | ~less(_u95, _u94) )).
% 2.07/2.25 cnf(matrix-58, plain, ( ( _u97 != _u96) | ~greater(_u97, _u96) )).
% 2.07/2.25 cnf(matrix-59, plain, ( ~less(_u102, _u104) | ( _u104 = vplus(_u102, skolem1(_u104, _u102))) )).
% 2.07/2.25 cnf(matrix-60, plain, ( ( _u105 != vplus(_u103, _u99)) | less(_u103, _u105) )).
% 2.07/2.25 cnf(matrix-61, plain, ( ~greater(_u110, _u112) | ( _u110 = vplus(_u112, skolem2(_u112, _u110))) )).
% 2.07/2.25 cnf(matrix-62, plain, ( ( _u111 != vplus(_u113, _u107)) | greater(_u111, _u113) )).
% 2.07/2.25 cnf(matrix-63, plain, ( ( _u117 = _u116) | ( _u117 = vplus(_u116, skolem3(_u117, _u116))) | ( _u116 = vplus(_u117, skolem4(_u117, _u116))) )).
% 2.07/2.25 cnf(matrix-64, plain, ( ( _u120 != _u119) | ( _u119 != vplus(_u120, _u118)) )).
% 2.07/2.25 cnf(matrix-65, plain, ( ( _u124 != vplus(_u123, _u121)) | ( _u123 != vplus(_u124, _u122)) )).
% 2.07/2.25 cnf(matrix-66, plain, ( ( _u127 != _u126) | ( _u127 != vplus(_u126, _u125)) )).
% 2.07/2.25 cnf(matrix-67, plain, ( ( _u130 = _u129) | ( vplus(_u128, _u130) != vplus(_u128, _u129)) )).
% 2.07/2.25 cnf(matrix-68, plain, ( ( _u131 != vplus(_u132, _u131)) )).
% 2.07/2.25 cnf(matrix-69, plain, ( ( vplus(_u133, _u134) = vplus(_u134, _u133)) )).
% 2.07/2.25 cnf(matrix-70, plain, ( ( vplus(vsucc(_u136), _u135) = vsucc(vplus(_u136, _u135))) )).
% 2.07/2.25 cnf(matrix-71, plain, ( ( vplus(v1, _u137) = vsucc(_u137)) )).
% 2.07/2.25 cnf(matrix-72, plain, ( ( vplus(vplus(_u140, _u139), _u138) = vplus(_u140, vplus(_u139, _u138))) )).
% 2.07/2.25 cnf(matrix-73, plain, ( ( vplus(_u143, v1) = vsucc(_u143)) )).
% 2.07/2.25 cnf(matrix-74, plain, ( ( vplus(_u144, vsucc(_u141)) = vsucc(vplus(_u144, _u141))) )).
% 2.07/2.25 cnf(matrix-75, plain, ( ( _u145 = v1) | ( _u145 = vsucc(vskolem2(_u145))) )).
% 2.07/2.25 cnf(matrix-76, plain, ( ( vsucc(_u146) != _u146) )).
% 2.07/2.25 cnf(matrix-77, plain, ( ( _u148 = _u147) | ( vsucc(_u148) != vsucc(_u147)) )).
% 2.07/2.25 cnf(matrix-78, plain, ( ( vsucc(_u150) != vsucc(_u149)) | ( _u150 = _u149) )).
% 2.07/2.25 cnf(matrix-79, plain, ( ( vsucc(_u151) != v1) )).
% 2.07/2.25
% 2.07/2.25 % Proof stack:
% 2.07/2.25 cnf(proof-stack, plain,
% 2.07/2.25 proof_stack(
% 2.07/2.25 start(15),
% 2.07/2.25 left_branch(0, 55, 1, 2),
% 2.07/2.25 left_branch(0, 18, 0, 3),
% 2.07/2.25 left_branch(0, 58, 0, 4),
% 2.07/2.25 left_branch(0, 16, 0, 5),
% 2.07/2.25 right_branch(5),
% 2.07/2.25 right_branch(4),
% 2.07/2.25 right_branch(3),
% 2.07/2.25 left_branch(0, 17, 0, 4),
% 2.07/2.25 left_branch(0, 57, 1, 5),
% 2.07/2.25 left_branch(0, 16, 0, 6),
% 2.07/2.25 right_branch(6),
% 2.07/2.25 right_branch(5),
% 2.07/2.25 right_branch(4),
% 2.07/2.25 right_branch(2)
% 2.07/2.25 )).
% 2.07/2.25 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------