TSTP Solution File: NUM835+2 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM835+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 : n015.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 14:27:59 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM835+2 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n015.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 19:46:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% 0.13/0.38
% 0.13/0.38 % Formula: dis(case_distinction(conseq(110))) ( conjecture ) (definitionally) converted to clauses:
% 0.13/0.38 cnf(dis(case_distinction(conseq(110)))-1, negated_conjecture, ( ( vd165 != vplus(vd151, _u0)) )).
% 0.13/0.38 cnf(dis(case_distinction(conseq(110)))-2, negated_conjecture, ( ( vd151 != vplus(vd165, _u1)) )).
% 0.13/0.38 cnf(dis(case_distinction(conseq(110)))-3, negated_conjecture, ( ( vd151 != vd165) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 2), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 2), 0)-1, axiom, ( m(vsucc(vd165)) | ( vd165 != vplus(vd151, _u2)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 2), 1) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 2), 1)-1, axiom, ( ( vd165 != vplus(vd151, _u3)) | ( vsucc(vplus(vd151, _u3)) = vplus(vd151, vsucc(_u3))) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 2), 2) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 2), 2)-1, axiom, ( ( vd165 != vplus(vd151, _u4)) | ( vsucc(vd165) = vsucc(vplus(vd151, _u4))) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 0)-1, axiom, ( ( vd151 != vplus(vd165, _u5)) | ( _u5 = v1) | m(vsucc(vd165)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 1) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 1)-1, axiom, ( ( vd151 != vplus(vd165, _u6)) | ( _u6 = v1) | ( vplus(vplus(vd165, v1), vskolem3) = vplus(vsucc(vd165), vskolem3)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 2) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 2)-1, axiom, ( ( vd151 != vplus(vd165, _u7)) | ( _u7 = v1) | ( vplus(vd165, vplus(v1, vskolem3)) = vplus(vplus(vd165, v1), vskolem3)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 3) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 3)-1, axiom, ( ( vd151 != vplus(vd165, _u8)) | ( _u8 = v1) | ( vd151 = vplus(vd165, vplus(v1, vskolem3))) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 4) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 4)-1, axiom, ( ( vd151 != vplus(vd165, _u9)) | ( _u9 = v1) | ( vsucc(vskolem3) = vplus(v1, vskolem3)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 5) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 5)-1, axiom, ( ( vd151 != vplus(vd165, _u10)) | ( _u10 = v1) | ( _u10 = vsucc(vskolem3)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 6) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 6)-1, axiom, ( ( vd151 != vplus(vd165, _u11)) | ( _u11 != v1) | m(vsucc(vd165)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 7) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 7)-1, axiom, ( ( vd151 != vplus(vd165, _u12)) | ( _u12 != v1) | ( vplus(vd165, v1) = vsucc(vd165)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 1), 8) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 1), 8)-1, axiom, ( ( vd151 != vplus(vd165, _u13)) | ( _u13 != v1) | ( vd151 = vplus(vd165, v1)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 0), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 0), 0)-1, axiom, ( ( vd151 != vd165) | m(vsucc(vd165)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 0), 1) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 0), 1)-1, axiom, ( ( vd151 != vd165) | ( vplus(vd165, v1) = vplus(vd151, v1)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(conseq(110), 0), 2) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(conseq(110), 0), 2)-1, axiom, ( ( vd151 != vd165) | ( vsucc(vd165) = vplus(vd165, v1)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: def(cond(conseq(105), 0), 1) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(def(cond(conseq(105), 0), 1)-1, axiom, ( ~m(_u20) | ( _u22 = _u20) | ( _u22 = vplus(_u20, skolem1(_u22, _u20))) | ( _u20 = vplus(_u22, skolem2(_u22, _u20))) )).
% 0.13/0.38 cnf(def(cond(conseq(105), 0), 1)-2, axiom, ( m(_u21) | ( _u23 != _u21) )).
% 0.13/0.38 cnf(def(cond(conseq(105), 0), 1)-3, axiom, ( m(_u21) | ( _u23 != vplus(_u21, _u16)) )).
% 0.13/0.38 cnf(def(cond(conseq(105), 0), 1)-4, axiom, ( m(_u21) | ( _u21 != vplus(_u23, _u17)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(61, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(61, 0), 0)-1, axiom, ( ( vplus(_u24, _u25) = vplus(_u25, _u24)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(52, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(52, 0), 0)-1, axiom, ( ( vplus(vsucc(_u27), _u26) = vsucc(vplus(_u27, _u26))) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(43, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(43, 0), 0)-1, axiom, ( ( vplus(v1, _u28) = vsucc(_u28)) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(33, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(33, 0), 0)-1, axiom, ( ( vplus(vplus(_u31, _u30), _u29) = vplus(_u31, vplus(_u30, _u29))) )).
% 0.13/0.38
% 0.13/0.38 % Formula: qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-1, axiom, ( ( vplus(_u34, v1) = vsucc(_u34)) )).
% 0.13/0.38 cnf(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))-2, axiom, ( ( vplus(_u35, vsucc(_u32)) = vsucc(vplus(_u35, _u32))) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(20, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(20, 0), 0)-1, axiom, ( ( _u36 = v1) | ( _u36 = vsucc(vskolem2(_u36))) )).
% 0.13/0.38
% 0.13/0.38 % Formula: ass(cond(12, 0), 0) ( axiom ) converted to clauses:
% 0.13/0.38 cnf(ass(cond(12, 0), 0)-1, axiom, ( ( vsucc(_u37) != _u37) )).
% 0.13/0.38
% 0.13/0.38 % Problem matrix:
% 0.13/0.38 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.38 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.38 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.38 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vplus(__eqx_0, __eqx_1) = vplus(__eqy_0, __eqy_1)) )).
% 0.13/0.38 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( vsucc(__eqx_0) = vsucc(__eqy_0)) )).
% 0.13/0.38 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( vskolem2(__eqx_0) = vskolem2(__eqy_0)) )).
% 0.13/0.38 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.13/0.38 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.13/0.38 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~m(__eqx_0) | m(__eqy_0) )).
% 0.13/0.38 cnf(matrix-9, plain, ( ( vd165 != vplus(vd151, _u0)) )).
% 0.13/0.38 cnf(matrix-10, plain, ( ( vd151 != vplus(vd165, _u1)) )).
% 0.13/0.38 cnf(matrix-11, plain, ( ( vd151 != vd165) )).
% 0.13/0.38 cnf(matrix-12, plain, ( m(vsucc(vd165)) | ( vd165 != vplus(vd151, _u2)) )).
% 0.13/0.38 cnf(matrix-13, plain, ( ( vd165 != vplus(vd151, _u3)) | ( vsucc(vplus(vd151, _u3)) = vplus(vd151, vsucc(_u3))) )).
% 0.13/0.38 cnf(matrix-14, plain, ( ( vd165 != vplus(vd151, _u4)) | ( vsucc(vd165) = vsucc(vplus(vd151, _u4))) )).
% 0.13/0.38 cnf(matrix-15, plain, ( ( vd151 != vplus(vd165, _u5)) | ( _u5 = v1) | m(vsucc(vd165)) )).
% 0.13/0.38 cnf(matrix-16, plain, ( ( vd151 != vplus(vd165, _u6)) | ( _u6 = v1) | ( vplus(vplus(vd165, v1), vskolem3) = vplus(vsucc(vd165), vskolem3)) )).
% 0.13/0.38 cnf(matrix-17, plain, ( ( vd151 != vplus(vd165, _u7)) | ( _u7 = v1) | ( vplus(vd165, vplus(v1, vskolem3)) = vplus(vplus(vd165, v1), vskolem3)) )).
% 0.13/0.38 cnf(matrix-18, plain, ( ( vd151 != vplus(vd165, _u8)) | ( _u8 = v1) | ( vd151 = vplus(vd165, vplus(v1, vskolem3))) )).
% 0.13/0.38 cnf(matrix-19, plain, ( ( vd151 != vplus(vd165, _u9)) | ( _u9 = v1) | ( vsucc(vskolem3) = vplus(v1, vskolem3)) )).
% 0.13/0.38 cnf(matrix-20, plain, ( ( vd151 != vplus(vd165, _u10)) | ( _u10 = v1) | ( _u10 = vsucc(vskolem3)) )).
% 0.13/0.38 cnf(matrix-21, plain, ( ( vd151 != vplus(vd165, _u11)) | ( _u11 != v1) | m(vsucc(vd165)) )).
% 0.13/0.38 cnf(matrix-22, plain, ( ( vd151 != vplus(vd165, _u12)) | ( _u12 != v1) | ( vplus(vd165, v1) = vsucc(vd165)) )).
% 0.13/0.38 cnf(matrix-23, plain, ( ( vd151 != vplus(vd165, _u13)) | ( _u13 != v1) | ( vd151 = vplus(vd165, v1)) )).
% 0.13/0.38 cnf(matrix-24, plain, ( ( vd151 != vd165) | m(vsucc(vd165)) )).
% 0.13/0.38 cnf(matrix-25, plain, ( ( vd151 != vd165) | ( vplus(vd165, v1) = vplus(vd151, v1)) )).
% 0.13/0.38 cnf(matrix-26, plain, ( ( vd151 != vd165) | ( vsucc(vd165) = vplus(vd165, v1)) )).
% 0.13/0.38 cnf(matrix-27, plain, ( ~m(_u20) | ( _u22 = _u20) | ( _u22 = vplus(_u20, skolem1(_u22, _u20))) | ( _u20 = vplus(_u22, skolem2(_u22, _u20))) )).
% 0.13/0.38 cnf(matrix-28, plain, ( m(_u21) | ( _u23 != _u21) )).
% 0.13/0.38 cnf(matrix-29, plain, ( m(_u21) | ( _u23 != vplus(_u21, _u16)) )).
% 0.13/0.38 cnf(matrix-30, plain, ( m(_u21) | ( _u21 != vplus(_u23, _u17)) )).
% 0.13/0.38 cnf(matrix-31, plain, ( ( vplus(_u24, _u25) = vplus(_u25, _u24)) )).
% 0.13/0.38 cnf(matrix-32, plain, ( ( vplus(vsucc(_u27), _u26) = vsucc(vplus(_u27, _u26))) )).
% 0.13/0.38 cnf(matrix-33, plain, ( ( vplus(v1, _u28) = vsucc(_u28)) )).
% 0.13/0.38 cnf(matrix-34, plain, ( ( vplus(vplus(_u31, _u30), _u29) = vplus(_u31, vplus(_u30, _u29))) )).
% 0.13/0.38 cnf(matrix-35, plain, ( ( vplus(_u34, v1) = vsucc(_u34)) )).
% 0.13/0.38 cnf(matrix-36, plain, ( ( vplus(_u35, vsucc(_u32)) = vsucc(vplus(_u35, _u32))) )).
% 0.13/0.38 cnf(matrix-37, plain, ( ( _u36 = v1) | ( _u36 = vsucc(vskolem2(_u36))) )).
% 0.13/0.38 cnf(matrix-38, plain, ( ( vsucc(_u37) != _u37) )).
% 0.13/0.38
% 0.13/0.38 % Proof stack:
% 0.13/0.38 cnf(proof-stack, plain,
% 0.13/0.38 proof_stack(
% 0.13/0.38 start(9),
% 0.13/0.38 left_branch(0, 27, 3, 2),
% 0.13/0.38 left_branch(0, 29, 0, 3),
% 0.13/0.38 left_branch(0, 34, 0, 4),
% 0.13/0.38 right_branch(4),
% 0.13/0.38 right_branch(3),
% 0.13/0.38 left_branch(0, 10, 0, 4),
% 0.13/0.38 right_branch(4),
% 0.13/0.38 left_branch(0, 11, 0, 5),
% 0.13/0.38 right_branch(5),
% 0.13/0.38 right_branch(2)
% 0.13/0.38 )).
% 0.13/0.38 % SZS output end Proof for theBenchmark
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