TSTP Solution File: NUM854+2 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n009.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 0.18s 0.34s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n009.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 19:40:29 EDT 2024
% 0.18/0.33 % CPUTime :
% 0.18/0.34 % SZS status Theorem for theBenchmark
% 0.18/0.34 % SZS output start Proof for theBenchmark
% 0.18/0.34
% 0.18/0.34 % Formula: holds(conjunct1(315), 514, 0) ( conjecture ) (definitionally) converted to clauses:
% 0.18/0.34 cnf(holds(conjunct1(315), 514, 0)-1, negated_conjecture, ( ~greater(vmul(vd508, vd511), vmul(vd509, vd511)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: holds(conjunct2(314), 513, 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(holds(conjunct2(314), 513, 0)-1, axiom, ( greater(vd511, vd512) )).
% 0.18/0.34
% 0.18/0.34 % Formula: holds(conjunct1(314), 510, 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(holds(conjunct1(314), 510, 0)-1, axiom, ( greater(vd508, vd509) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(conjunct2(conjunct2(307)), 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(conjunct2(conjunct2(307)), 0), 0)-1, axiom, ( ~less(vmul(_u2, _u1), vmul(_u0, _u1)) | less(_u2, _u0) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(conjunct1(conjunct2(307)), 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(conjunct1(conjunct2(307)), 0), 0)-1, axiom, ( ( vmul(_u5, _u4) != vmul(_u3, _u4)) | ( _u5 = _u3) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(conjunct1(307), 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(conjunct1(307), 0), 0)-1, axiom, ( ~greater(vmul(_u8, _u7), vmul(_u6, _u7)) | greater(_u8, _u6) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(299, 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(299, 0), 0)-1, axiom, ( ~less(_u10, _u9) | less(vmul(_u10, _u11), vmul(_u9, _u11)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(299, 0), 1) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(299, 0), 1)-1, axiom, ( ( _u13 != _u12) | ( vmul(_u13, _u14) = vmul(_u12, _u14)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(299, 0), 2) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(299, 0), 2)-1, axiom, ( ~greater(_u16, _u15) | greater(vmul(_u16, _u17), vmul(_u15, _u17)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(290, 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(290, 0), 0)-1, axiom, ( ( vmul(vmul(_u20, _u19), _u18) = vmul(_u20, vmul(_u19, _u18))) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(281, 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(281, 0), 0)-1, axiom, ( ( vmul(_u23, vplus(_u22, _u21)) = vplus(vmul(_u23, _u22), vmul(_u23, _u21))) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(270, 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(270, 0), 0)-1, axiom, ( ( vmul(_u25, _u24) = vmul(_u24, _u25)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(261, 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(261, 0), 0)-1, axiom, ( ( vmul(vsucc(_u27), _u26) = vplus(vmul(_u27, _u26), _u26)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(253, 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(253, 0), 0)-1, axiom, ( ( vmul(v1, _u28) = _u28) )).
% 0.18/0.34
% 0.18/0.34 % Formula: qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))-1, axiom, ( ( vmul(_u31, v1) = _u31) )).
% 0.18/0.34 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)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(147, 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(147, 0), 0)-1, axiom, ( ~less(_u34, _u33) | greater(_u33, _u34) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(140, 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(140, 0), 0)-1, axiom, ( ~greater(_u36, _u35) | less(_u35, _u36) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(goal(130), 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(goal(130), 0), 0)-1, axiom, ( ( _u38 = _u37) | greater(_u38, _u37) | less(_u38, _u37) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(goal(130), 0), 1) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(goal(130), 0), 1)-1, axiom, ( ( _u40 != _u39) | ~less(_u40, _u39) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(goal(130), 0), 2) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(goal(130), 0), 2)-1, axiom, ( ~greater(_u42, _u41) | ~less(_u42, _u41) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(goal(130), 0), 3) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(goal(130), 0), 3)-1, axiom, ( ( _u44 != _u43) | ~greater(_u44, _u43) )).
% 0.18/0.34
% 0.18/0.34 % Formula: def(cond(conseq(axiom(3)), 12), 1) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(def(cond(conseq(axiom(3)), 12), 1)-1, axiom, ( ~less(_u49, _u51) | ( _u51 = vplus(_u49, skolem1(_u51, _u49))) )).
% 0.18/0.34 cnf(def(cond(conseq(axiom(3)), 12), 1)-2, axiom, ( ( _u52 != vplus(_u50, _u46)) | less(_u50, _u52) )).
% 0.18/0.34
% 0.18/0.34 % Formula: def(cond(conseq(axiom(3)), 11), 1) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(def(cond(conseq(axiom(3)), 11), 1)-1, axiom, ( ~greater(_u57, _u59) | ( _u57 = vplus(_u59, skolem2(_u59, _u57))) )).
% 0.18/0.34 cnf(def(cond(conseq(axiom(3)), 11), 1)-2, axiom, ( ( _u58 != vplus(_u60, _u54)) | greater(_u58, _u60) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(goal(88), 0), 0) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(goal(88), 0), 0)-1, axiom, ( ( _u64 = _u63) | ( _u64 = vplus(_u63, skolem3(_u64, _u63))) | ( _u63 = vplus(_u64, skolem4(_u64, _u63))) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(goal(88), 0), 1) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(goal(88), 0), 1)-1, axiom, ( ( _u67 != _u66) | ( _u66 != vplus(_u67, _u65)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(goal(88), 0), 2) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(goal(88), 0), 2)-1, axiom, ( ( _u71 != vplus(_u70, _u68)) | ( _u70 != vplus(_u71, _u69)) )).
% 0.18/0.34
% 0.18/0.34 % Formula: ass(cond(goal(88), 0), 3) ( axiom ) converted to clauses:
% 0.18/0.34 cnf(ass(cond(goal(88), 0), 3)-1, axiom, ( ( _u74 != _u73) | ( _u74 != vplus(_u73, _u72)) )).
% 0.18/0.34
% 0.18/0.34 % Problem matrix:
% 0.18/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.18/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.18/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.18/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vmul(__eqx_0, __eqx_1) = vmul(__eqy_0, __eqy_1)) )).
% 0.18/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.18/0.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.18/0.34 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.18/0.34 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.18/0.34 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.18/0.34 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 0.18/0.34 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 0.18/0.34 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 0.18/0.34 cnf(matrix-12, plain, ( ~greater(vmul(vd508, vd511), vmul(vd509, vd511)) )).
% 0.18/0.34 cnf(matrix-13, plain, ( greater(vd511, vd512) )).
% 0.18/0.34 cnf(matrix-14, plain, ( greater(vd508, vd509) )).
% 0.18/0.34 cnf(matrix-15, plain, ( ~less(vmul(_u2, _u1), vmul(_u0, _u1)) | less(_u2, _u0) )).
% 0.18/0.34 cnf(matrix-16, plain, ( ( vmul(_u5, _u4) != vmul(_u3, _u4)) | ( _u5 = _u3) )).
% 0.18/0.34 cnf(matrix-17, plain, ( ~greater(vmul(_u8, _u7), vmul(_u6, _u7)) | greater(_u8, _u6) )).
% 0.18/0.34 cnf(matrix-18, plain, ( ~less(_u10, _u9) | less(vmul(_u10, _u11), vmul(_u9, _u11)) )).
% 0.18/0.34 cnf(matrix-19, plain, ( ( _u13 != _u12) | ( vmul(_u13, _u14) = vmul(_u12, _u14)) )).
% 0.18/0.34 cnf(matrix-20, plain, ( ~greater(_u16, _u15) | greater(vmul(_u16, _u17), vmul(_u15, _u17)) )).
% 0.18/0.34 cnf(matrix-21, plain, ( ( vmul(vmul(_u20, _u19), _u18) = vmul(_u20, vmul(_u19, _u18))) )).
% 0.18/0.34 cnf(matrix-22, plain, ( ( vmul(_u23, vplus(_u22, _u21)) = vplus(vmul(_u23, _u22), vmul(_u23, _u21))) )).
% 0.18/0.34 cnf(matrix-23, plain, ( ( vmul(_u25, _u24) = vmul(_u24, _u25)) )).
% 0.18/0.34 cnf(matrix-24, plain, ( ( vmul(vsucc(_u27), _u26) = vplus(vmul(_u27, _u26), _u26)) )).
% 0.18/0.34 cnf(matrix-25, plain, ( ( vmul(v1, _u28) = _u28) )).
% 0.18/0.34 cnf(matrix-26, plain, ( ( vmul(_u31, v1) = _u31) )).
% 0.18/0.34 cnf(matrix-27, plain, ( ( vmul(_u32, vsucc(_u29)) = vplus(vmul(_u32, _u29), _u32)) )).
% 0.18/0.34 cnf(matrix-28, plain, ( ~less(_u34, _u33) | greater(_u33, _u34) )).
% 0.18/0.34 cnf(matrix-29, plain, ( ~greater(_u36, _u35) | less(_u35, _u36) )).
% 0.18/0.34 cnf(matrix-30, plain, ( ( _u38 = _u37) | greater(_u38, _u37) | less(_u38, _u37) )).
% 0.18/0.34 cnf(matrix-31, plain, ( ( _u40 != _u39) | ~less(_u40, _u39) )).
% 0.18/0.34 cnf(matrix-32, plain, ( ~greater(_u42, _u41) | ~less(_u42, _u41) )).
% 0.18/0.34 cnf(matrix-33, plain, ( ( _u44 != _u43) | ~greater(_u44, _u43) )).
% 0.18/0.34 cnf(matrix-34, plain, ( ~less(_u49, _u51) | ( _u51 = vplus(_u49, skolem1(_u51, _u49))) )).
% 0.18/0.34 cnf(matrix-35, plain, ( ( _u52 != vplus(_u50, _u46)) | less(_u50, _u52) )).
% 0.18/0.34 cnf(matrix-36, plain, ( ~greater(_u57, _u59) | ( _u57 = vplus(_u59, skolem2(_u59, _u57))) )).
% 0.18/0.34 cnf(matrix-37, plain, ( ( _u58 != vplus(_u60, _u54)) | greater(_u58, _u60) )).
% 0.18/0.34 cnf(matrix-38, plain, ( ( _u64 = _u63) | ( _u64 = vplus(_u63, skolem3(_u64, _u63))) | ( _u63 = vplus(_u64, skolem4(_u64, _u63))) )).
% 0.18/0.34 cnf(matrix-39, plain, ( ( _u67 != _u66) | ( _u66 != vplus(_u67, _u65)) )).
% 0.18/0.34 cnf(matrix-40, plain, ( ( _u71 != vplus(_u70, _u68)) | ( _u70 != vplus(_u71, _u69)) )).
% 0.18/0.34 cnf(matrix-41, plain, ( ( _u74 != _u73) | ( _u74 != vplus(_u73, _u72)) )).
% 0.18/0.34
% 0.18/0.34 % Proof stack:
% 0.18/0.34 cnf(proof-stack, plain,
% 0.18/0.34 proof_stack(
% 0.18/0.34 start(12),
% 0.18/0.34 left_branch(0, 20, 1, 2),
% 0.18/0.34 left_branch(0, 14, 0, 3),
% 0.18/0.34 right_branch(3),
% 0.18/0.34 right_branch(2)
% 0.18/0.34 )).
% 0.18/0.34 % SZS output end Proof for theBenchmark
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