TSTP Solution File: NUM854+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM854+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 : n010.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 0.14s 0.36s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM854+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 : n010.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 19:39:48 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% 0.14/0.36
% 0.14/0.36 % Formula: holds(conjunct1(315), 514, 0) ( conjecture ) (definitionally) converted to clauses:
% 0.14/0.36 cnf(holds(conjunct1(315), 514, 0)-1, negated_conjecture, ( ~greater(vmul(vd508, vd511), vmul(vd509, vd511)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: holds(conjunct2(314), 513, 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(holds(conjunct2(314), 513, 0)-1, axiom, ( greater(vd511, vd512) )).
% 0.14/0.36
% 0.14/0.36 % Formula: holds(conjunct1(314), 510, 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(holds(conjunct1(314), 510, 0)-1, axiom, ( greater(vd508, vd509) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(conjunct2(conjunct2(307)), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(conjunct2(conjunct2(307)), 0), 0)-1, axiom, ( ~less(vmul(_u2, _u1), vmul(_u0, _u1)) | less(_u2, _u0) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(conjunct1(conjunct2(307)), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(conjunct1(conjunct2(307)), 0), 0)-1, axiom, ( ( vmul(_u5, _u4) != vmul(_u3, _u4)) | ( _u5 = _u3) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(conjunct1(307), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(conjunct1(307), 0), 0)-1, axiom, ( ~greater(vmul(_u8, _u7), vmul(_u6, _u7)) | greater(_u8, _u6) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(299, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(299, 0), 0)-1, axiom, ( ~less(_u10, _u9) | less(vmul(_u10, _u11), vmul(_u9, _u11)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(299, 0), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(299, 0), 1)-1, axiom, ( ( _u13 != _u12) | ( vmul(_u13, _u14) = vmul(_u12, _u14)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(299, 0), 2) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(299, 0), 2)-1, axiom, ( ~greater(_u16, _u15) | greater(vmul(_u16, _u17), vmul(_u15, _u17)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(290, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(290, 0), 0)-1, axiom, ( ( vmul(vmul(_u20, _u19), _u18) = vmul(_u20, vmul(_u19, _u18))) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(281, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(281, 0), 0)-1, axiom, ( ( vmul(_u23, vplus(_u22, _u21)) = vplus(vmul(_u23, _u22), vmul(_u23, _u21))) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(270, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(270, 0), 0)-1, axiom, ( ( vmul(_u25, _u24) = vmul(_u24, _u25)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(261, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(261, 0), 0)-1, axiom, ( ( vmul(vsucc(_u27), _u26) = vplus(vmul(_u27, _u26), _u26)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(253, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(253, 0), 0)-1, axiom, ( ( vmul(v1, _u28) = _u28) )).
% 0.14/0.36
% 0.14/0.36 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u31, v1) = _u31) )).
% 0.14/0.36 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-2, axiom, ( ( vmul(_u32, vsucc(_u29)) = vplus(vmul(_u32, _u29), _u32)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(241, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(241, 0), 0)-1, axiom, ( ~less(_u34, vplus(_u33, v1)) | leq(_u34, _u33) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(234, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(234, 0), 0)-1, axiom, ( ~greater(_u36, _u35) | geq(_u36, vplus(_u35, v1)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(228, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(228, 0), 0)-1, axiom, ( geq(_u37, v1) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(223, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(223, 0), 0)-1, axiom, ( ~geq(_u39, _u38) | ~geq(_u41, _u40) | geq(vplus(_u41, _u39), vplus(_u40, _u38)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(216), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(216), 0), 0)-1, axiom, ( greater(vplus(_u45, _u43), vplus(_u44, _u42)) | ~greater(_u43, _u42) | ~geq(_u45, _u44) )).
% 0.14/0.36 cnf(ass(cond(goal(216), 0), 0)-2, axiom, ( greater(vplus(_u45, _u43), vplus(_u44, _u42)) | ~geq(_u43, _u42) | ~greater(_u45, _u44) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(209, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(209, 0), 0)-1, axiom, ( ~greater(_u47, _u46) | ~greater(_u49, _u48) | greater(vplus(_u49, _u47), vplus(_u48, _u46)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(202), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(202), 0), 0)-1, axiom, ( less(_u52, _u51) | ~less(vplus(_u52, _u50), vplus(_u51, _u50)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(202), 0), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(202), 0), 1)-1, axiom, ( ( _u55 = _u54) | ( vplus(_u55, _u53) != vplus(_u54, _u53)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(202), 0), 2) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(202), 0), 2)-1, axiom, ( greater(_u58, _u57) | ~greater(vplus(_u58, _u56), vplus(_u57, _u56)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(193), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(193), 0), 0)-1, axiom, ( ~less(_u61, _u60) | less(vplus(_u61, _u59), vplus(_u60, _u59)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(193), 0), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(193), 0), 1)-1, axiom, ( ( _u64 != _u63) | ( vplus(_u64, _u62) = vplus(_u63, _u62)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(193), 0), 2) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(193), 0), 2)-1, axiom, ( ~greater(_u67, _u66) | greater(vplus(_u67, _u65), vplus(_u66, _u65)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(189, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(189, 0), 0)-1, axiom, ( greater(vplus(_u69, _u68), _u69) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(184, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(184, 0), 0)-1, axiom, ( ~leq(_u71, _u70) | ~leq(_u72, _u71) | leq(_u72, _u70) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(177), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(177), 0), 0)-1, axiom, ( less(_u75, _u73) | ~less(_u74, _u73) | ~leq(_u75, _u74) )).
% 0.14/0.36 cnf(ass(cond(goal(177), 0), 0)-2, axiom, ( less(_u75, _u73) | ~leq(_u74, _u73) | ~less(_u75, _u74) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(168, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(168, 0), 0)-1, axiom, ( ~less(_u77, _u76) | ~less(_u78, _u77) | less(_u78, _u76) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(163, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(163, 0), 0)-1, axiom, ( ~leq(_u80, _u79) | geq(_u79, _u80) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(158, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(158, 0), 0)-1, axiom, ( ~geq(_u82, _u81) | leq(_u81, _u82) )).
% 0.14/0.36
% 0.14/0.36 % Formula: def(cond(conseq(axiom(3)), 17), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-1, axiom, ( ~leq(_u85, _u87) | less(_u85, _u87) | ( _u85 = _u87) )).
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-2, axiom, ( leq(_u86, _u88) | ~less(_u86, _u88) )).
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-3, axiom, ( leq(_u86, _u88) | ( _u86 != _u88) )).
% 0.14/0.36
% 0.14/0.36 % Formula: def(cond(conseq(axiom(3)), 16), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-1, axiom, ( ~geq(_u91, _u93) | greater(_u91, _u93) | ( _u91 = _u93) )).
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-2, axiom, ( geq(_u92, _u94) | ~greater(_u92, _u94) )).
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-3, axiom, ( geq(_u92, _u94) | ( _u92 != _u94) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u96, _u95) | greater(_u95, _u96) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u98, _u97) | less(_u97, _u98) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u100 = _u99) | greater(_u100, _u99) | less(_u100, _u99) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u102 != _u101) | ~less(_u102, _u101) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u104, _u103) | ~less(_u104, _u103) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u106 != _u105) | ~greater(_u106, _u105) )).
% 0.14/0.36
% 0.14/0.36 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u111, _u113) | ( _u113 = vplus(_u111, skolem1(_u113, _u111))) )).
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u114 != vplus(_u112, _u108)) | less(_u112, _u114) )).
% 0.14/0.36
% 0.14/0.36 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u119, _u121) | ( _u119 = vplus(_u121, skolem2(_u121, _u119))) )).
% 0.14/0.36 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u120 != vplus(_u122, _u116)) | greater(_u120, _u122) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u126 = _u125) | ( _u126 = vplus(_u125, skolem3(_u126, _u125))) | ( _u125 = vplus(_u126, skolem4(_u126, _u125))) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u129 != _u128) | ( _u128 != vplus(_u129, _u127)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u133 != vplus(_u132, _u130)) | ( _u132 != vplus(_u133, _u131)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u136 != _u135) | ( _u136 != vplus(_u135, _u134)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(81, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(81, 0), 0)-1, axiom, ( ( _u139 = _u138) | ( vplus(_u137, _u139) != vplus(_u137, _u138)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(73, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(73, 0), 0)-1, axiom, ( ( _u140 != vplus(_u141, _u140)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u142, _u143) = vplus(_u143, _u142)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u145), _u144) = vsucc(vplus(_u145, _u144))) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u146) = vsucc(_u146)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u149, _u148), _u147) = vplus(_u149, vplus(_u148, _u147))) )).
% 0.14/0.36
% 0.14/0.36 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u152, v1) = vsucc(_u152)) )).
% 0.14/0.36 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u153, vsucc(_u150)) = vsucc(vplus(_u153, _u150))) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u154 = v1) | ( _u154 = vsucc(vskolem2(_u154))) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u155) != _u155) )).
% 0.14/0.36
% 0.14/0.36 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u157 = _u156) | ( vsucc(_u157) != vsucc(_u156)) )).
% 0.14/0.36
% 0.14/0.36 % Formula: qu(antec(axiom(3)), imp(antec(axiom(3)))) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(qu(antec(axiom(3)), imp(antec(axiom(3))))-1, axiom, ( ( vsucc(_u159) != vsucc(_u158)) | ( _u159 = _u158) )).
% 0.14/0.36
% 0.14/0.36 % Formula: qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)) ( axiom ) converted to clauses:
% 0.14/0.36 cnf(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))-1, axiom, ( ( vsucc(_u160) != v1) )).
% 0.14/0.36
% 0.14/0.36 % Problem matrix:
% 0.14/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.14/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.14/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.14/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.14/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.14/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.14/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.14/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.14/0.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.14/0.36 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.14/0.36 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.14/0.36 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.14/0.36 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.14/0.36 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.14/0.36 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 0.14/0.36 cnf(matrix-15, plain, ( ~greater(vmul(vd508, vd511), vmul(vd509, vd511)) )).
% 0.14/0.36 cnf(matrix-16, plain, ( greater(vd511, vd512) )).
% 0.14/0.36 cnf(matrix-17, plain, ( greater(vd508, vd509) )).
% 0.14/0.36 cnf(matrix-18, plain, ( ~less(vmul(_u2, _u1), vmul(_u0, _u1)) | less(_u2, _u0) )).
% 0.14/0.36 cnf(matrix-19, plain, ( ( vmul(_u5, _u4) != vmul(_u3, _u4)) | ( _u5 = _u3) )).
% 0.14/0.36 cnf(matrix-20, plain, ( ~greater(vmul(_u8, _u7), vmul(_u6, _u7)) | greater(_u8, _u6) )).
% 0.14/0.36 cnf(matrix-21, plain, ( ~less(_u10, _u9) | less(vmul(_u10, _u11), vmul(_u9, _u11)) )).
% 0.14/0.36 cnf(matrix-22, plain, ( ( _u13 != _u12) | ( vmul(_u13, _u14) = vmul(_u12, _u14)) )).
% 0.14/0.36 cnf(matrix-23, plain, ( ~greater(_u16, _u15) | greater(vmul(_u16, _u17), vmul(_u15, _u17)) )).
% 0.14/0.36 cnf(matrix-24, plain, ( ( vmul(vmul(_u20, _u19), _u18) = vmul(_u20, vmul(_u19, _u18))) )).
% 0.14/0.36 cnf(matrix-25, plain, ( ( vmul(_u23, vplus(_u22, _u21)) = vplus(vmul(_u23, _u22), vmul(_u23, _u21))) )).
% 0.14/0.36 cnf(matrix-26, plain, ( ( vmul(_u25, _u24) = vmul(_u24, _u25)) )).
% 0.14/0.36 cnf(matrix-27, plain, ( ( vmul(vsucc(_u27), _u26) = vplus(vmul(_u27, _u26), _u26)) )).
% 0.14/0.36 cnf(matrix-28, plain, ( ( vmul(v1, _u28) = _u28) )).
% 0.14/0.36 cnf(matrix-29, plain, ( ( vmul(_u31, v1) = _u31) )).
% 0.14/0.36 cnf(matrix-30, plain, ( ( vmul(_u32, vsucc(_u29)) = vplus(vmul(_u32, _u29), _u32)) )).
% 0.14/0.36 cnf(matrix-31, plain, ( ~less(_u34, vplus(_u33, v1)) | leq(_u34, _u33) )).
% 0.14/0.36 cnf(matrix-32, plain, ( ~greater(_u36, _u35) | geq(_u36, vplus(_u35, v1)) )).
% 0.14/0.36 cnf(matrix-33, plain, ( geq(_u37, v1) )).
% 0.14/0.36 cnf(matrix-34, plain, ( ~geq(_u39, _u38) | ~geq(_u41, _u40) | geq(vplus(_u41, _u39), vplus(_u40, _u38)) )).
% 0.14/0.36 cnf(matrix-35, plain, ( greater(vplus(_u45, _u43), vplus(_u44, _u42)) | ~greater(_u43, _u42) | ~geq(_u45, _u44) )).
% 0.14/0.36 cnf(matrix-36, plain, ( greater(vplus(_u45, _u43), vplus(_u44, _u42)) | ~geq(_u43, _u42) | ~greater(_u45, _u44) )).
% 0.14/0.36 cnf(matrix-37, plain, ( ~greater(_u47, _u46) | ~greater(_u49, _u48) | greater(vplus(_u49, _u47), vplus(_u48, _u46)) )).
% 0.14/0.36 cnf(matrix-38, plain, ( less(_u52, _u51) | ~less(vplus(_u52, _u50), vplus(_u51, _u50)) )).
% 0.14/0.36 cnf(matrix-39, plain, ( ( _u55 = _u54) | ( vplus(_u55, _u53) != vplus(_u54, _u53)) )).
% 0.14/0.36 cnf(matrix-40, plain, ( greater(_u58, _u57) | ~greater(vplus(_u58, _u56), vplus(_u57, _u56)) )).
% 0.14/0.36 cnf(matrix-41, plain, ( ~less(_u61, _u60) | less(vplus(_u61, _u59), vplus(_u60, _u59)) )).
% 0.14/0.36 cnf(matrix-42, plain, ( ( _u64 != _u63) | ( vplus(_u64, _u62) = vplus(_u63, _u62)) )).
% 0.14/0.36 cnf(matrix-43, plain, ( ~greater(_u67, _u66) | greater(vplus(_u67, _u65), vplus(_u66, _u65)) )).
% 0.14/0.36 cnf(matrix-44, plain, ( greater(vplus(_u69, _u68), _u69) )).
% 0.14/0.36 cnf(matrix-45, plain, ( ~leq(_u71, _u70) | ~leq(_u72, _u71) | leq(_u72, _u70) )).
% 0.14/0.36 cnf(matrix-46, plain, ( less(_u75, _u73) | ~less(_u74, _u73) | ~leq(_u75, _u74) )).
% 0.14/0.36 cnf(matrix-47, plain, ( less(_u75, _u73) | ~leq(_u74, _u73) | ~less(_u75, _u74) )).
% 0.14/0.36 cnf(matrix-48, plain, ( ~less(_u77, _u76) | ~less(_u78, _u77) | less(_u78, _u76) )).
% 0.14/0.36 cnf(matrix-49, plain, ( ~leq(_u80, _u79) | geq(_u79, _u80) )).
% 0.14/0.36 cnf(matrix-50, plain, ( ~geq(_u82, _u81) | leq(_u81, _u82) )).
% 0.14/0.36 cnf(matrix-51, plain, ( ~leq(_u85, _u87) | less(_u85, _u87) | ( _u85 = _u87) )).
% 0.14/0.36 cnf(matrix-52, plain, ( leq(_u86, _u88) | ~less(_u86, _u88) )).
% 0.14/0.36 cnf(matrix-53, plain, ( leq(_u86, _u88) | ( _u86 != _u88) )).
% 0.14/0.36 cnf(matrix-54, plain, ( ~geq(_u91, _u93) | greater(_u91, _u93) | ( _u91 = _u93) )).
% 0.14/0.36 cnf(matrix-55, plain, ( geq(_u92, _u94) | ~greater(_u92, _u94) )).
% 0.14/0.36 cnf(matrix-56, plain, ( geq(_u92, _u94) | ( _u92 != _u94) )).
% 0.14/0.36 cnf(matrix-57, plain, ( ~less(_u96, _u95) | greater(_u95, _u96) )).
% 0.14/0.36 cnf(matrix-58, plain, ( ~greater(_u98, _u97) | less(_u97, _u98) )).
% 0.14/0.36 cnf(matrix-59, plain, ( ( _u100 = _u99) | greater(_u100, _u99) | less(_u100, _u99) )).
% 0.14/0.36 cnf(matrix-60, plain, ( ( _u102 != _u101) | ~less(_u102, _u101) )).
% 0.14/0.36 cnf(matrix-61, plain, ( ~greater(_u104, _u103) | ~less(_u104, _u103) )).
% 0.14/0.36 cnf(matrix-62, plain, ( ( _u106 != _u105) | ~greater(_u106, _u105) )).
% 0.14/0.36 cnf(matrix-63, plain, ( ~less(_u111, _u113) | ( _u113 = vplus(_u111, skolem1(_u113, _u111))) )).
% 0.14/0.36 cnf(matrix-64, plain, ( ( _u114 != vplus(_u112, _u108)) | less(_u112, _u114) )).
% 0.14/0.36 cnf(matrix-65, plain, ( ~greater(_u119, _u121) | ( _u119 = vplus(_u121, skolem2(_u121, _u119))) )).
% 0.14/0.36 cnf(matrix-66, plain, ( ( _u120 != vplus(_u122, _u116)) | greater(_u120, _u122) )).
% 0.14/0.36 cnf(matrix-67, plain, ( ( _u126 = _u125) | ( _u126 = vplus(_u125, skolem3(_u126, _u125))) | ( _u125 = vplus(_u126, skolem4(_u126, _u125))) )).
% 0.14/0.36 cnf(matrix-68, plain, ( ( _u129 != _u128) | ( _u128 != vplus(_u129, _u127)) )).
% 0.14/0.36 cnf(matrix-69, plain, ( ( _u133 != vplus(_u132, _u130)) | ( _u132 != vplus(_u133, _u131)) )).
% 0.14/0.36 cnf(matrix-70, plain, ( ( _u136 != _u135) | ( _u136 != vplus(_u135, _u134)) )).
% 0.14/0.36 cnf(matrix-71, plain, ( ( _u139 = _u138) | ( vplus(_u137, _u139) != vplus(_u137, _u138)) )).
% 0.14/0.36 cnf(matrix-72, plain, ( ( _u140 != vplus(_u141, _u140)) )).
% 0.14/0.36 cnf(matrix-73, plain, ( ( vplus(_u142, _u143) = vplus(_u143, _u142)) )).
% 0.14/0.36 cnf(matrix-74, plain, ( ( vplus(vsucc(_u145), _u144) = vsucc(vplus(_u145, _u144))) )).
% 0.14/0.36 cnf(matrix-75, plain, ( ( vplus(v1, _u146) = vsucc(_u146)) )).
% 0.14/0.36 cnf(matrix-76, plain, ( ( vplus(vplus(_u149, _u148), _u147) = vplus(_u149, vplus(_u148, _u147))) )).
% 0.14/0.36 cnf(matrix-77, plain, ( ( vplus(_u152, v1) = vsucc(_u152)) )).
% 0.14/0.36 cnf(matrix-78, plain, ( ( vplus(_u153, vsucc(_u150)) = vsucc(vplus(_u153, _u150))) )).
% 0.14/0.36 cnf(matrix-79, plain, ( ( _u154 = v1) | ( _u154 = vsucc(vskolem2(_u154))) )).
% 0.14/0.36 cnf(matrix-80, plain, ( ( vsucc(_u155) != _u155) )).
% 0.14/0.36 cnf(matrix-81, plain, ( ( _u157 = _u156) | ( vsucc(_u157) != vsucc(_u156)) )).
% 0.14/0.36 cnf(matrix-82, plain, ( ( vsucc(_u159) != vsucc(_u158)) | ( _u159 = _u158) )).
% 0.14/0.36 cnf(matrix-83, plain, ( ( vsucc(_u160) != v1) )).
% 0.14/0.36
% 0.14/0.36 % Proof stack:
% 0.14/0.36 cnf(proof-stack, plain,
% 0.14/0.36 proof_stack(
% 0.14/0.36 start(15),
% 0.14/0.36 left_branch(0, 23, 1, 2),
% 0.14/0.36 left_branch(0, 17, 0, 3),
% 0.14/0.36 right_branch(3),
% 0.14/0.36 right_branch(2)
% 0.14/0.36 )).
% 0.14/0.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------