TSTP Solution File: NUM844+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM844+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 : n006.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 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM844+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Mar 20 19:32:44 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% 0.12/0.36
% 0.12/0.36 % Formula: holds(266, 415, 3) ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.36 cnf(holds(266, 415, 3)-1, negated_conjecture, ( ( vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411))) != vplus(vmul(vd411, vd413), vplus(vsucc(vd411), vd413))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: holds(266, 415, 2) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(holds(266, 415, 2)-1, axiom, ( ( vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411)) = vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411)))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: holds(266, 415, 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(holds(266, 415, 1)-1, axiom, ( ( vplus(vmul(vsucc(vd411), vd413), vsucc(vd411)) = vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: holds(266, 415, 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(holds(266, 415, 0)-1, axiom, ( ( vmul(vsucc(vd411), vsucc(vd413)) = vplus(vmul(vsucc(vd411), vd413), vsucc(vd411))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: holds(265, 414, 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(holds(265, 414, 0)-1, axiom, ( ( vmul(vsucc(vd411), vd413) = vplus(vmul(vd411, vd413), vd413)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: holds(264, 412, 2) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(holds(264, 412, 2)-1, axiom, ( ( vsucc(vmul(vd411, v1)) = vplus(vmul(vd411, v1), v1)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: holds(264, 412, 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(holds(264, 412, 1)-1, axiom, ( ( vsucc(vd411) = vsucc(vmul(vd411, v1))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: holds(264, 412, 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(holds(264, 412, 0)-1, axiom, ( ( vmul(vsucc(vd411), v1) = vsucc(vd411)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(253, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(253, 0), 0)-1, axiom, ( ( vmul(v1, _u0) = _u0) )).
% 0.12/0.36
% 0.12/0.36 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u3, v1) = _u3) )).
% 0.12/0.36 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-2, axiom, ( ( vmul(_u4, vsucc(_u1)) = vplus(vmul(_u4, _u1), _u4)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(241, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(241, 0), 0)-1, axiom, ( ~less(_u6, vplus(_u5, v1)) | leq(_u6, _u5) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(234, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(234, 0), 0)-1, axiom, ( ~greater(_u8, _u7) | geq(_u8, vplus(_u7, v1)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(228, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(228, 0), 0)-1, axiom, ( geq(_u9, v1) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(223, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(223, 0), 0)-1, axiom, ( ~geq(_u11, _u10) | ~geq(_u13, _u12) | geq(vplus(_u13, _u11), vplus(_u12, _u10)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(216), 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(216), 0), 0)-1, axiom, ( greater(vplus(_u17, _u15), vplus(_u16, _u14)) | ~greater(_u15, _u14) | ~geq(_u17, _u16) )).
% 0.12/0.36 cnf(ass(cond(goal(216), 0), 0)-2, axiom, ( greater(vplus(_u17, _u15), vplus(_u16, _u14)) | ~geq(_u15, _u14) | ~greater(_u17, _u16) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(209, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(209, 0), 0)-1, axiom, ( ~greater(_u19, _u18) | ~greater(_u21, _u20) | greater(vplus(_u21, _u19), vplus(_u20, _u18)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(202), 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(202), 0), 0)-1, axiom, ( less(_u24, _u23) | ~less(vplus(_u24, _u22), vplus(_u23, _u22)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(202), 0), 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(202), 0), 1)-1, axiom, ( ( _u27 = _u26) | ( vplus(_u27, _u25) != vplus(_u26, _u25)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(202), 0), 2) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(202), 0), 2)-1, axiom, ( greater(_u30, _u29) | ~greater(vplus(_u30, _u28), vplus(_u29, _u28)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(193), 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(193), 0), 0)-1, axiom, ( ~less(_u33, _u32) | less(vplus(_u33, _u31), vplus(_u32, _u31)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(193), 0), 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(193), 0), 1)-1, axiom, ( ( _u36 != _u35) | ( vplus(_u36, _u34) = vplus(_u35, _u34)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(193), 0), 2) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(193), 0), 2)-1, axiom, ( ~greater(_u39, _u38) | greater(vplus(_u39, _u37), vplus(_u38, _u37)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(189, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(189, 0), 0)-1, axiom, ( greater(vplus(_u41, _u40), _u41) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(184, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(184, 0), 0)-1, axiom, ( ~leq(_u43, _u42) | ~leq(_u44, _u43) | leq(_u44, _u42) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(177), 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(177), 0), 0)-1, axiom, ( less(_u47, _u45) | ~less(_u46, _u45) | ~leq(_u47, _u46) )).
% 0.12/0.36 cnf(ass(cond(goal(177), 0), 0)-2, axiom, ( less(_u47, _u45) | ~leq(_u46, _u45) | ~less(_u47, _u46) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(168, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(168, 0), 0)-1, axiom, ( ~less(_u49, _u48) | ~less(_u50, _u49) | less(_u50, _u48) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(163, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(163, 0), 0)-1, axiom, ( ~leq(_u52, _u51) | geq(_u51, _u52) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(158, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(158, 0), 0)-1, axiom, ( ~geq(_u54, _u53) | leq(_u53, _u54) )).
% 0.12/0.36
% 0.12/0.36 % Formula: def(cond(conseq(axiom(3)), 17), 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-1, axiom, ( ~leq(_u57, _u59) | less(_u57, _u59) | ( _u57 = _u59) )).
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-2, axiom, ( leq(_u58, _u60) | ~less(_u58, _u60) )).
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 17), 1)-3, axiom, ( leq(_u58, _u60) | ( _u58 != _u60) )).
% 0.12/0.36
% 0.12/0.36 % Formula: def(cond(conseq(axiom(3)), 16), 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-1, axiom, ( ~geq(_u63, _u65) | greater(_u63, _u65) | ( _u63 = _u65) )).
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-2, axiom, ( geq(_u64, _u66) | ~greater(_u64, _u66) )).
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 16), 1)-3, axiom, ( geq(_u64, _u66) | ( _u64 != _u66) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u68, _u67) | greater(_u67, _u68) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u70, _u69) | less(_u69, _u70) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u72 = _u71) | greater(_u72, _u71) | less(_u72, _u71) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u74 != _u73) | ~less(_u74, _u73) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u76, _u75) | ~less(_u76, _u75) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u78 != _u77) | ~greater(_u78, _u77) )).
% 0.12/0.36
% 0.12/0.36 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u83, _u85) | ( _u85 = vplus(_u83, skolem1(_u85, _u83))) )).
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u86 != vplus(_u84, _u80)) | less(_u84, _u86) )).
% 0.12/0.36
% 0.12/0.36 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u91, _u93) | ( _u91 = vplus(_u93, skolem2(_u93, _u91))) )).
% 0.12/0.36 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u92 != vplus(_u94, _u88)) | greater(_u92, _u94) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u98 = _u97) | ( _u98 = vplus(_u97, skolem3(_u98, _u97))) | ( _u97 = vplus(_u98, skolem4(_u98, _u97))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u101 != _u100) | ( _u100 != vplus(_u101, _u99)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u105 != vplus(_u104, _u102)) | ( _u104 != vplus(_u105, _u103)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u108 != _u107) | ( _u108 != vplus(_u107, _u106)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(81, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(81, 0), 0)-1, axiom, ( ( _u111 = _u110) | ( vplus(_u109, _u111) != vplus(_u109, _u110)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(73, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(73, 0), 0)-1, axiom, ( ( _u112 != vplus(_u113, _u112)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u114, _u115) = vplus(_u115, _u114)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u117), _u116) = vsucc(vplus(_u117, _u116))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u118) = vsucc(_u118)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u121, _u120), _u119) = vplus(_u121, vplus(_u120, _u119))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u124, v1) = vsucc(_u124)) )).
% 0.12/0.36 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u125, vsucc(_u122)) = vsucc(vplus(_u125, _u122))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u126 = v1) | ( _u126 = vsucc(vskolem2(_u126))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u127) != _u127) )).
% 0.12/0.36
% 0.12/0.36 % Formula: ass(cond(6, 0), 0) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(ass(cond(6, 0), 0)-1, axiom, ( ( _u129 = _u128) | ( vsucc(_u129) != vsucc(_u128)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: qu(antec(axiom(3)), imp(antec(axiom(3)))) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(qu(antec(axiom(3)), imp(antec(axiom(3))))-1, axiom, ( ( vsucc(_u131) != vsucc(_u130)) | ( _u131 = _u130) )).
% 0.12/0.36
% 0.12/0.36 % Formula: qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)) ( axiom ) converted to clauses:
% 0.12/0.36 cnf(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))-1, axiom, ( ( vsucc(_u132) != v1) )).
% 0.12/0.36
% 0.12/0.36 % Problem matrix:
% 0.12/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-15, plain, ( ( vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411))) != vplus(vmul(vd411, vd413), vplus(vsucc(vd411), vd413))) )).
% 0.12/0.36 cnf(matrix-16, plain, ( ( vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411)) = vplus(vmul(vd411, vd413), vplus(vd413, vsucc(vd411)))) )).
% 0.12/0.36 cnf(matrix-17, plain, ( ( vplus(vmul(vsucc(vd411), vd413), vsucc(vd411)) = vplus(vplus(vmul(vd411, vd413), vd413), vsucc(vd411))) )).
% 0.12/0.36 cnf(matrix-18, plain, ( ( vmul(vsucc(vd411), vsucc(vd413)) = vplus(vmul(vsucc(vd411), vd413), vsucc(vd411))) )).
% 0.12/0.36 cnf(matrix-19, plain, ( ( vmul(vsucc(vd411), vd413) = vplus(vmul(vd411, vd413), vd413)) )).
% 0.12/0.36 cnf(matrix-20, plain, ( ( vsucc(vmul(vd411, v1)) = vplus(vmul(vd411, v1), v1)) )).
% 0.12/0.36 cnf(matrix-21, plain, ( ( vsucc(vd411) = vsucc(vmul(vd411, v1))) )).
% 0.12/0.36 cnf(matrix-22, plain, ( ( vmul(vsucc(vd411), v1) = vsucc(vd411)) )).
% 0.12/0.36 cnf(matrix-23, plain, ( ( vmul(v1, _u0) = _u0) )).
% 0.12/0.36 cnf(matrix-24, plain, ( ( vmul(_u3, v1) = _u3) )).
% 0.12/0.36 cnf(matrix-25, plain, ( ( vmul(_u4, vsucc(_u1)) = vplus(vmul(_u4, _u1), _u4)) )).
% 0.12/0.36 cnf(matrix-26, plain, ( ~less(_u6, vplus(_u5, v1)) | leq(_u6, _u5) )).
% 0.12/0.36 cnf(matrix-27, plain, ( ~greater(_u8, _u7) | geq(_u8, vplus(_u7, v1)) )).
% 0.12/0.36 cnf(matrix-28, plain, ( geq(_u9, v1) )).
% 0.12/0.36 cnf(matrix-29, plain, ( ~geq(_u11, _u10) | ~geq(_u13, _u12) | geq(vplus(_u13, _u11), vplus(_u12, _u10)) )).
% 0.12/0.36 cnf(matrix-30, plain, ( greater(vplus(_u17, _u15), vplus(_u16, _u14)) | ~greater(_u15, _u14) | ~geq(_u17, _u16) )).
% 0.12/0.36 cnf(matrix-31, plain, ( greater(vplus(_u17, _u15), vplus(_u16, _u14)) | ~geq(_u15, _u14) | ~greater(_u17, _u16) )).
% 0.12/0.36 cnf(matrix-32, plain, ( ~greater(_u19, _u18) | ~greater(_u21, _u20) | greater(vplus(_u21, _u19), vplus(_u20, _u18)) )).
% 0.12/0.36 cnf(matrix-33, plain, ( less(_u24, _u23) | ~less(vplus(_u24, _u22), vplus(_u23, _u22)) )).
% 0.12/0.36 cnf(matrix-34, plain, ( ( _u27 = _u26) | ( vplus(_u27, _u25) != vplus(_u26, _u25)) )).
% 0.12/0.36 cnf(matrix-35, plain, ( greater(_u30, _u29) | ~greater(vplus(_u30, _u28), vplus(_u29, _u28)) )).
% 0.12/0.36 cnf(matrix-36, plain, ( ~less(_u33, _u32) | less(vplus(_u33, _u31), vplus(_u32, _u31)) )).
% 0.12/0.36 cnf(matrix-37, plain, ( ( _u36 != _u35) | ( vplus(_u36, _u34) = vplus(_u35, _u34)) )).
% 0.12/0.36 cnf(matrix-38, plain, ( ~greater(_u39, _u38) | greater(vplus(_u39, _u37), vplus(_u38, _u37)) )).
% 0.12/0.36 cnf(matrix-39, plain, ( greater(vplus(_u41, _u40), _u41) )).
% 0.12/0.36 cnf(matrix-40, plain, ( ~leq(_u43, _u42) | ~leq(_u44, _u43) | leq(_u44, _u42) )).
% 0.12/0.36 cnf(matrix-41, plain, ( less(_u47, _u45) | ~less(_u46, _u45) | ~leq(_u47, _u46) )).
% 0.12/0.36 cnf(matrix-42, plain, ( less(_u47, _u45) | ~leq(_u46, _u45) | ~less(_u47, _u46) )).
% 0.12/0.36 cnf(matrix-43, plain, ( ~less(_u49, _u48) | ~less(_u50, _u49) | less(_u50, _u48) )).
% 0.12/0.36 cnf(matrix-44, plain, ( ~leq(_u52, _u51) | geq(_u51, _u52) )).
% 0.12/0.36 cnf(matrix-45, plain, ( ~geq(_u54, _u53) | leq(_u53, _u54) )).
% 0.12/0.36 cnf(matrix-46, plain, ( ~leq(_u57, _u59) | less(_u57, _u59) | ( _u57 = _u59) )).
% 0.12/0.36 cnf(matrix-47, plain, ( leq(_u58, _u60) | ~less(_u58, _u60) )).
% 0.12/0.36 cnf(matrix-48, plain, ( leq(_u58, _u60) | ( _u58 != _u60) )).
% 0.12/0.36 cnf(matrix-49, plain, ( ~geq(_u63, _u65) | greater(_u63, _u65) | ( _u63 = _u65) )).
% 0.12/0.36 cnf(matrix-50, plain, ( geq(_u64, _u66) | ~greater(_u64, _u66) )).
% 0.12/0.36 cnf(matrix-51, plain, ( geq(_u64, _u66) | ( _u64 != _u66) )).
% 0.12/0.36 cnf(matrix-52, plain, ( ~less(_u68, _u67) | greater(_u67, _u68) )).
% 0.12/0.36 cnf(matrix-53, plain, ( ~greater(_u70, _u69) | less(_u69, _u70) )).
% 0.12/0.36 cnf(matrix-54, plain, ( ( _u72 = _u71) | greater(_u72, _u71) | less(_u72, _u71) )).
% 0.12/0.36 cnf(matrix-55, plain, ( ( _u74 != _u73) | ~less(_u74, _u73) )).
% 0.12/0.36 cnf(matrix-56, plain, ( ~greater(_u76, _u75) | ~less(_u76, _u75) )).
% 0.12/0.36 cnf(matrix-57, plain, ( ( _u78 != _u77) | ~greater(_u78, _u77) )).
% 0.12/0.36 cnf(matrix-58, plain, ( ~less(_u83, _u85) | ( _u85 = vplus(_u83, skolem1(_u85, _u83))) )).
% 0.12/0.36 cnf(matrix-59, plain, ( ( _u86 != vplus(_u84, _u80)) | less(_u84, _u86) )).
% 0.12/0.36 cnf(matrix-60, plain, ( ~greater(_u91, _u93) | ( _u91 = vplus(_u93, skolem2(_u93, _u91))) )).
% 0.12/0.36 cnf(matrix-61, plain, ( ( _u92 != vplus(_u94, _u88)) | greater(_u92, _u94) )).
% 0.12/0.36 cnf(matrix-62, plain, ( ( _u98 = _u97) | ( _u98 = vplus(_u97, skolem3(_u98, _u97))) | ( _u97 = vplus(_u98, skolem4(_u98, _u97))) )).
% 0.12/0.36 cnf(matrix-63, plain, ( ( _u101 != _u100) | ( _u100 != vplus(_u101, _u99)) )).
% 0.12/0.36 cnf(matrix-64, plain, ( ( _u105 != vplus(_u104, _u102)) | ( _u104 != vplus(_u105, _u103)) )).
% 0.12/0.36 cnf(matrix-65, plain, ( ( _u108 != _u107) | ( _u108 != vplus(_u107, _u106)) )).
% 0.12/0.36 cnf(matrix-66, plain, ( ( _u111 = _u110) | ( vplus(_u109, _u111) != vplus(_u109, _u110)) )).
% 0.12/0.36 cnf(matrix-67, plain, ( ( _u112 != vplus(_u113, _u112)) )).
% 0.12/0.36 cnf(matrix-68, plain, ( ( vplus(_u114, _u115) = vplus(_u115, _u114)) )).
% 0.12/0.36 cnf(matrix-69, plain, ( ( vplus(vsucc(_u117), _u116) = vsucc(vplus(_u117, _u116))) )).
% 0.12/0.36 cnf(matrix-70, plain, ( ( vplus(v1, _u118) = vsucc(_u118)) )).
% 0.12/0.36 cnf(matrix-71, plain, ( ( vplus(vplus(_u121, _u120), _u119) = vplus(_u121, vplus(_u120, _u119))) )).
% 0.12/0.36 cnf(matrix-72, plain, ( ( vplus(_u124, v1) = vsucc(_u124)) )).
% 0.12/0.36 cnf(matrix-73, plain, ( ( vplus(_u125, vsucc(_u122)) = vsucc(vplus(_u125, _u122))) )).
% 0.12/0.36 cnf(matrix-74, plain, ( ( _u126 = v1) | ( _u126 = vsucc(vskolem2(_u126))) )).
% 0.12/0.36 cnf(matrix-75, plain, ( ( vsucc(_u127) != _u127) )).
% 0.12/0.36 cnf(matrix-76, plain, ( ( _u129 = _u128) | ( vsucc(_u129) != vsucc(_u128)) )).
% 0.12/0.36 cnf(matrix-77, plain, ( ( vsucc(_u131) != vsucc(_u130)) | ( _u131 = _u130) )).
% 0.12/0.36 cnf(matrix-78, plain, ( ( vsucc(_u132) != v1) )).
% 0.12/0.36
% 0.12/0.36 % Proof stack:
% 0.12/0.36 cnf(proof-stack, plain,
% 0.12/0.36 proof_stack(
% 0.12/0.36 start(15),
% 0.12/0.36 left_branch(0, 5, 2, 2),
% 0.12/0.36 left_branch(0, 0, 0, 3),
% 0.12/0.36 right_branch(3),
% 0.12/0.36 left_branch(0, 68, 0, 4),
% 0.12/0.36 right_branch(4),
% 0.12/0.36 right_branch(2)
% 0.12/0.36 )).
% 0.12/0.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------