TSTP Solution File: NUM848+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM848+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 : n019.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 0.47s 0.63s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM848+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 19:58:03 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.47/0.63 % SZS status Theorem for theBenchmark
% 0.47/0.63 % SZS output start Proof for theBenchmark
% 0.47/0.63
% 0.47/0.63 % Formula: holds(286, 441, 4) ( conjecture ) (definitionally) converted to clauses:
% 0.47/0.63 cnf(holds(286, 441, 4)-1, negated_conjecture, ( ( vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) != vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: holds(286, 441, 3) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(holds(286, 441, 3)-1, axiom, ( ( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: holds(286, 441, 2) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(holds(286, 441, 2)-1, axiom, ( ( vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: holds(286, 441, 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(holds(286, 441, 1)-1, axiom, ( ( vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: holds(286, 441, 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(holds(286, 441, 0)-1, axiom, ( ( vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439)))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: holds(285, 440, 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(holds(285, 440, 0)-1, axiom, ( ( vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: holds(284, 438, 2) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(holds(284, 438, 2)-1, axiom, ( ( vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: holds(284, 438, 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(holds(284, 438, 1)-1, axiom, ( ( vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: holds(284, 438, 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(holds(284, 438, 0)-1, axiom, ( ( vmul(vd436, vplus(vd437, v1)) = vmul(vd436, vsucc(vd437))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(270, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(270, 0), 0)-1, axiom, ( ( vmul(_u1, _u0) = vmul(_u0, _u1)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(261, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(261, 0), 0)-1, axiom, ( ( vmul(vsucc(_u3), _u2) = vplus(vmul(_u3, _u2), _u2)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(253, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(253, 0), 0)-1, axiom, ( ( vmul(v1, _u4) = _u4) )).
% 0.47/0.63
% 0.47/0.63 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u7, v1) = _u7) )).
% 0.47/0.63 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-2, axiom, ( ( vmul(_u8, vsucc(_u5)) = vplus(vmul(_u8, _u5), _u8)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(241, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(241, 0), 0)-1, axiom, ( ~less(_u10, vplus(_u9, v1)) | leq(_u10, _u9) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(234, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(234, 0), 0)-1, axiom, ( ~greater(_u12, _u11) | geq(_u12, vplus(_u11, v1)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(228, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(228, 0), 0)-1, axiom, ( geq(_u13, v1) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(223, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(223, 0), 0)-1, axiom, ( ~geq(_u15, _u14) | ~geq(_u17, _u16) | geq(vplus(_u17, _u15), vplus(_u16, _u14)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(216), 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(216), 0), 0)-1, axiom, ( greater(vplus(_u21, _u19), vplus(_u20, _u18)) | ~greater(_u19, _u18) | ~geq(_u21, _u20) )).
% 0.47/0.63 cnf(ass(cond(goal(216), 0), 0)-2, axiom, ( greater(vplus(_u21, _u19), vplus(_u20, _u18)) | ~geq(_u19, _u18) | ~greater(_u21, _u20) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(209, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(209, 0), 0)-1, axiom, ( ~greater(_u23, _u22) | ~greater(_u25, _u24) | greater(vplus(_u25, _u23), vplus(_u24, _u22)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(202), 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(202), 0), 0)-1, axiom, ( less(_u28, _u27) | ~less(vplus(_u28, _u26), vplus(_u27, _u26)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(202), 0), 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(202), 0), 1)-1, axiom, ( ( _u31 = _u30) | ( vplus(_u31, _u29) != vplus(_u30, _u29)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(202), 0), 2) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(202), 0), 2)-1, axiom, ( greater(_u34, _u33) | ~greater(vplus(_u34, _u32), vplus(_u33, _u32)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(193), 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(193), 0), 0)-1, axiom, ( ~less(_u37, _u36) | less(vplus(_u37, _u35), vplus(_u36, _u35)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(193), 0), 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(193), 0), 1)-1, axiom, ( ( _u40 != _u39) | ( vplus(_u40, _u38) = vplus(_u39, _u38)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(193), 0), 2) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(193), 0), 2)-1, axiom, ( ~greater(_u43, _u42) | greater(vplus(_u43, _u41), vplus(_u42, _u41)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(189, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(189, 0), 0)-1, axiom, ( greater(vplus(_u45, _u44), _u45) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(184, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(184, 0), 0)-1, axiom, ( ~leq(_u47, _u46) | ~leq(_u48, _u47) | leq(_u48, _u46) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(177), 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(177), 0), 0)-1, axiom, ( less(_u51, _u49) | ~less(_u50, _u49) | ~leq(_u51, _u50) )).
% 0.47/0.63 cnf(ass(cond(goal(177), 0), 0)-2, axiom, ( less(_u51, _u49) | ~leq(_u50, _u49) | ~less(_u51, _u50) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(168, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(168, 0), 0)-1, axiom, ( ~less(_u53, _u52) | ~less(_u54, _u53) | less(_u54, _u52) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(163, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(163, 0), 0)-1, axiom, ( ~leq(_u56, _u55) | geq(_u55, _u56) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(158, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(158, 0), 0)-1, axiom, ( ~geq(_u58, _u57) | leq(_u57, _u58) )).
% 0.47/0.63
% 0.47/0.63 % Formula: def(cond(conseq(axiom(3)), 17), 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 17), 1)-1, axiom, ( ~leq(_u61, _u63) | less(_u61, _u63) | ( _u61 = _u63) )).
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 17), 1)-2, axiom, ( leq(_u62, _u64) | ~less(_u62, _u64) )).
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 17), 1)-3, axiom, ( leq(_u62, _u64) | ( _u62 != _u64) )).
% 0.47/0.63
% 0.47/0.63 % Formula: def(cond(conseq(axiom(3)), 16), 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 16), 1)-1, axiom, ( ~geq(_u67, _u69) | greater(_u67, _u69) | ( _u67 = _u69) )).
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 16), 1)-2, axiom, ( geq(_u68, _u70) | ~greater(_u68, _u70) )).
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 16), 1)-3, axiom, ( geq(_u68, _u70) | ( _u68 != _u70) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u72, _u71) | greater(_u71, _u72) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u74, _u73) | less(_u73, _u74) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u76 = _u75) | greater(_u76, _u75) | less(_u76, _u75) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u78 != _u77) | ~less(_u78, _u77) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u80, _u79) | ~less(_u80, _u79) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u82 != _u81) | ~greater(_u82, _u81) )).
% 0.47/0.63
% 0.47/0.63 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u87, _u89) | ( _u89 = vplus(_u87, skolem1(_u89, _u87))) )).
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u90 != vplus(_u88, _u84)) | less(_u88, _u90) )).
% 0.47/0.63
% 0.47/0.63 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u95, _u97) | ( _u95 = vplus(_u97, skolem2(_u97, _u95))) )).
% 0.47/0.63 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u96 != vplus(_u98, _u92)) | greater(_u96, _u98) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u102 = _u101) | ( _u102 = vplus(_u101, skolem3(_u102, _u101))) | ( _u101 = vplus(_u102, skolem4(_u102, _u101))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u105 != _u104) | ( _u104 != vplus(_u105, _u103)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u109 != vplus(_u108, _u106)) | ( _u108 != vplus(_u109, _u107)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u112 != _u111) | ( _u112 != vplus(_u111, _u110)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(81, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(81, 0), 0)-1, axiom, ( ( _u115 = _u114) | ( vplus(_u113, _u115) != vplus(_u113, _u114)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(73, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(73, 0), 0)-1, axiom, ( ( _u116 != vplus(_u117, _u116)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u118, _u119) = vplus(_u119, _u118)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u121), _u120) = vsucc(vplus(_u121, _u120))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u122) = vsucc(_u122)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u125, _u124), _u123) = vplus(_u125, vplus(_u124, _u123))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u128, v1) = vsucc(_u128)) )).
% 0.47/0.63 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u129, vsucc(_u126)) = vsucc(vplus(_u129, _u126))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u130 = v1) | ( _u130 = vsucc(vskolem2(_u130))) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u131) != _u131) )).
% 0.47/0.63
% 0.47/0.63 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u133 = _u132) | ( vsucc(_u133) != vsucc(_u132)) )).
% 0.47/0.63
% 0.47/0.63 % Formula: qu(antec(axiom(3)), imp(antec(axiom(3)))) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(qu(antec(axiom(3)), imp(antec(axiom(3))))-1, axiom, ( ( vsucc(_u135) != vsucc(_u134)) | ( _u135 = _u134) )).
% 0.47/0.63
% 0.47/0.63 % Formula: qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)) ( axiom ) converted to clauses:
% 0.47/0.63 cnf(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))-1, axiom, ( ( vsucc(_u136) != v1) )).
% 0.47/0.63
% 0.47/0.63 % Problem matrix:
% 0.47/0.63 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.47/0.63 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.47/0.63 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.47/0.63 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.47/0.63 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.47/0.63 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.47/0.63 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.47/0.63 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.47/0.63 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.47/0.63 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.47/0.63 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.47/0.63 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.47/0.63 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.47/0.63 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.47/0.63 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 0.47/0.63 cnf(matrix-15, plain, ( ( vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) != vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))) )).
% 0.47/0.63 cnf(matrix-16, plain, ( ( vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436))) )).
% 0.47/0.63 cnf(matrix-17, plain, ( ( vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) )).
% 0.47/0.63 cnf(matrix-18, plain, ( ( vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436)) )).
% 0.47/0.63 cnf(matrix-19, plain, ( ( vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439)))) )).
% 0.47/0.63 cnf(matrix-20, plain, ( ( vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439))) )).
% 0.47/0.63 cnf(matrix-21, plain, ( ( vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1))) )).
% 0.47/0.63 cnf(matrix-22, plain, ( ( vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436)) )).
% 0.47/0.63 cnf(matrix-23, plain, ( ( vmul(vd436, vplus(vd437, v1)) = vmul(vd436, vsucc(vd437))) )).
% 0.47/0.63 cnf(matrix-24, plain, ( ( vmul(_u1, _u0) = vmul(_u0, _u1)) )).
% 0.47/0.63 cnf(matrix-25, plain, ( ( vmul(vsucc(_u3), _u2) = vplus(vmul(_u3, _u2), _u2)) )).
% 0.47/0.63 cnf(matrix-26, plain, ( ( vmul(v1, _u4) = _u4) )).
% 0.47/0.63 cnf(matrix-27, plain, ( ( vmul(_u7, v1) = _u7) )).
% 0.47/0.63 cnf(matrix-28, plain, ( ( vmul(_u8, vsucc(_u5)) = vplus(vmul(_u8, _u5), _u8)) )).
% 0.47/0.63 cnf(matrix-29, plain, ( ~less(_u10, vplus(_u9, v1)) | leq(_u10, _u9) )).
% 0.47/0.63 cnf(matrix-30, plain, ( ~greater(_u12, _u11) | geq(_u12, vplus(_u11, v1)) )).
% 0.47/0.63 cnf(matrix-31, plain, ( geq(_u13, v1) )).
% 0.47/0.63 cnf(matrix-32, plain, ( ~geq(_u15, _u14) | ~geq(_u17, _u16) | geq(vplus(_u17, _u15), vplus(_u16, _u14)) )).
% 0.47/0.63 cnf(matrix-33, plain, ( greater(vplus(_u21, _u19), vplus(_u20, _u18)) | ~greater(_u19, _u18) | ~geq(_u21, _u20) )).
% 0.47/0.63 cnf(matrix-34, plain, ( greater(vplus(_u21, _u19), vplus(_u20, _u18)) | ~geq(_u19, _u18) | ~greater(_u21, _u20) )).
% 0.47/0.63 cnf(matrix-35, plain, ( ~greater(_u23, _u22) | ~greater(_u25, _u24) | greater(vplus(_u25, _u23), vplus(_u24, _u22)) )).
% 0.47/0.63 cnf(matrix-36, plain, ( less(_u28, _u27) | ~less(vplus(_u28, _u26), vplus(_u27, _u26)) )).
% 0.47/0.63 cnf(matrix-37, plain, ( ( _u31 = _u30) | ( vplus(_u31, _u29) != vplus(_u30, _u29)) )).
% 0.47/0.63 cnf(matrix-38, plain, ( greater(_u34, _u33) | ~greater(vplus(_u34, _u32), vplus(_u33, _u32)) )).
% 0.47/0.63 cnf(matrix-39, plain, ( ~less(_u37, _u36) | less(vplus(_u37, _u35), vplus(_u36, _u35)) )).
% 0.47/0.63 cnf(matrix-40, plain, ( ( _u40 != _u39) | ( vplus(_u40, _u38) = vplus(_u39, _u38)) )).
% 0.47/0.63 cnf(matrix-41, plain, ( ~greater(_u43, _u42) | greater(vplus(_u43, _u41), vplus(_u42, _u41)) )).
% 0.47/0.63 cnf(matrix-42, plain, ( greater(vplus(_u45, _u44), _u45) )).
% 0.47/0.63 cnf(matrix-43, plain, ( ~leq(_u47, _u46) | ~leq(_u48, _u47) | leq(_u48, _u46) )).
% 0.47/0.63 cnf(matrix-44, plain, ( less(_u51, _u49) | ~less(_u50, _u49) | ~leq(_u51, _u50) )).
% 0.47/0.63 cnf(matrix-45, plain, ( less(_u51, _u49) | ~leq(_u50, _u49) | ~less(_u51, _u50) )).
% 0.47/0.63 cnf(matrix-46, plain, ( ~less(_u53, _u52) | ~less(_u54, _u53) | less(_u54, _u52) )).
% 0.47/0.63 cnf(matrix-47, plain, ( ~leq(_u56, _u55) | geq(_u55, _u56) )).
% 0.47/0.63 cnf(matrix-48, plain, ( ~geq(_u58, _u57) | leq(_u57, _u58) )).
% 0.47/0.63 cnf(matrix-49, plain, ( ~leq(_u61, _u63) | less(_u61, _u63) | ( _u61 = _u63) )).
% 0.47/0.63 cnf(matrix-50, plain, ( leq(_u62, _u64) | ~less(_u62, _u64) )).
% 0.47/0.63 cnf(matrix-51, plain, ( leq(_u62, _u64) | ( _u62 != _u64) )).
% 0.47/0.63 cnf(matrix-52, plain, ( ~geq(_u67, _u69) | greater(_u67, _u69) | ( _u67 = _u69) )).
% 0.47/0.63 cnf(matrix-53, plain, ( geq(_u68, _u70) | ~greater(_u68, _u70) )).
% 0.47/0.63 cnf(matrix-54, plain, ( geq(_u68, _u70) | ( _u68 != _u70) )).
% 0.47/0.63 cnf(matrix-55, plain, ( ~less(_u72, _u71) | greater(_u71, _u72) )).
% 0.47/0.63 cnf(matrix-56, plain, ( ~greater(_u74, _u73) | less(_u73, _u74) )).
% 0.47/0.63 cnf(matrix-57, plain, ( ( _u76 = _u75) | greater(_u76, _u75) | less(_u76, _u75) )).
% 0.47/0.63 cnf(matrix-58, plain, ( ( _u78 != _u77) | ~less(_u78, _u77) )).
% 0.47/0.63 cnf(matrix-59, plain, ( ~greater(_u80, _u79) | ~less(_u80, _u79) )).
% 0.47/0.63 cnf(matrix-60, plain, ( ( _u82 != _u81) | ~greater(_u82, _u81) )).
% 0.47/0.63 cnf(matrix-61, plain, ( ~less(_u87, _u89) | ( _u89 = vplus(_u87, skolem1(_u89, _u87))) )).
% 0.47/0.63 cnf(matrix-62, plain, ( ( _u90 != vplus(_u88, _u84)) | less(_u88, _u90) )).
% 0.47/0.63 cnf(matrix-63, plain, ( ~greater(_u95, _u97) | ( _u95 = vplus(_u97, skolem2(_u97, _u95))) )).
% 0.47/0.63 cnf(matrix-64, plain, ( ( _u96 != vplus(_u98, _u92)) | greater(_u96, _u98) )).
% 0.47/0.63 cnf(matrix-65, plain, ( ( _u102 = _u101) | ( _u102 = vplus(_u101, skolem3(_u102, _u101))) | ( _u101 = vplus(_u102, skolem4(_u102, _u101))) )).
% 0.47/0.63 cnf(matrix-66, plain, ( ( _u105 != _u104) | ( _u104 != vplus(_u105, _u103)) )).
% 0.47/0.63 cnf(matrix-67, plain, ( ( _u109 != vplus(_u108, _u106)) | ( _u108 != vplus(_u109, _u107)) )).
% 0.47/0.63 cnf(matrix-68, plain, ( ( _u112 != _u111) | ( _u112 != vplus(_u111, _u110)) )).
% 0.47/0.63 cnf(matrix-69, plain, ( ( _u115 = _u114) | ( vplus(_u113, _u115) != vplus(_u113, _u114)) )).
% 0.47/0.63 cnf(matrix-70, plain, ( ( _u116 != vplus(_u117, _u116)) )).
% 0.47/0.63 cnf(matrix-71, plain, ( ( vplus(_u118, _u119) = vplus(_u119, _u118)) )).
% 0.47/0.63 cnf(matrix-72, plain, ( ( vplus(vsucc(_u121), _u120) = vsucc(vplus(_u121, _u120))) )).
% 0.47/0.63 cnf(matrix-73, plain, ( ( vplus(v1, _u122) = vsucc(_u122)) )).
% 0.47/0.63 cnf(matrix-74, plain, ( ( vplus(vplus(_u125, _u124), _u123) = vplus(_u125, vplus(_u124, _u123))) )).
% 0.47/0.63 cnf(matrix-75, plain, ( ( vplus(_u128, v1) = vsucc(_u128)) )).
% 0.47/0.63 cnf(matrix-76, plain, ( ( vplus(_u129, vsucc(_u126)) = vsucc(vplus(_u129, _u126))) )).
% 0.47/0.63 cnf(matrix-77, plain, ( ( _u130 = v1) | ( _u130 = vsucc(vskolem2(_u130))) )).
% 0.47/0.63 cnf(matrix-78, plain, ( ( vsucc(_u131) != _u131) )).
% 0.47/0.63 cnf(matrix-79, plain, ( ( _u133 = _u132) | ( vsucc(_u133) != vsucc(_u132)) )).
% 0.47/0.63 cnf(matrix-80, plain, ( ( vsucc(_u135) != vsucc(_u134)) | ( _u135 = _u134) )).
% 0.47/0.63 cnf(matrix-81, plain, ( ( vsucc(_u136) != v1) )).
% 0.47/0.63
% 0.47/0.63 % Proof stack:
% 0.47/0.63 cnf(proof-stack, plain,
% 0.47/0.63 proof_stack(
% 0.47/0.63 start(15),
% 0.47/0.63 left_branch(0, 4, 2, 2),
% 0.47/0.63 left_branch(0, 80, 1, 3),
% 0.47/0.63 left_branch(0, 0, 0, 4),
% 0.47/0.63 right_branch(4),
% 0.47/0.63 right_branch(3),
% 0.47/0.63 left_branch(0, 1, 1, 4),
% 0.47/0.63 left_branch(0, 28, 0, 5),
% 0.47/0.63 right_branch(5),
% 0.47/0.63 right_branch(4),
% 0.47/0.63 right_branch(2)
% 0.47/0.63 )).
% 0.47/0.63 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------