TSTP Solution File: COM007+2 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n021.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 14:01:49 EDT 2024
% Result : Theorem 36.34s 36.54s
% Output : Proof 36.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Mar 21 09:13:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 36.34/36.54 % SZS status Theorem for theBenchmark
% 36.34/36.54 % SZS output start Proof for theBenchmark
% 36.34/36.54
% 36.34/36.54 % Formula: assumption ( axiom ) converted to clauses:
% 36.34/36.54 cnf(assumption-1, axiom, ( reflexive_rewrite(a, b) )).
% 36.34/36.54 cnf(assumption-2, axiom, ( reflexive_rewrite(a, c) )).
% 36.34/36.54
% 36.34/36.54 % Formula: goal_ax ( axiom ) converted to clauses:
% 36.34/36.54 cnf(goal_ax-1, axiom, ( goal | ~reflexive_rewrite(b, _u0) | ~reflexive_rewrite(c, _u0) )).
% 36.34/36.54
% 36.34/36.54 % Formula: equal_in_reflexive_rewrite ( axiom ) converted to clauses:
% 36.34/36.54 cnf(equal_in_reflexive_rewrite-1, axiom, ( ( _u2 != _u1) | reflexive_rewrite(_u2, _u1) )).
% 36.34/36.54
% 36.34/36.54 % Formula: rewrite_in_reflexive_rewrite ( axiom ) converted to clauses:
% 36.34/36.54 cnf(rewrite_in_reflexive_rewrite-1, axiom, ( ~rewrite(_u4, _u3) | reflexive_rewrite(_u4, _u3) )).
% 36.34/36.54
% 36.34/36.54 % Formula: equal_or_rewrite ( axiom ) converted to clauses:
% 36.34/36.54 cnf(equal_or_rewrite-1, axiom, ( ~reflexive_rewrite(_u6, _u5) | ( _u6 = _u5) | rewrite(_u6, _u5) )).
% 36.34/36.54
% 36.34/36.54 % Formula: rewrite_diamond ( axiom ) converted to clauses:
% 36.34/36.54 cnf(rewrite_diamond-1, axiom, ( ~rewrite(_u10, _u9) | ~rewrite(_u10, _u8) | rewrite(_u9, skolem1(_u10, _u9, _u8)) )).
% 36.34/36.54 cnf(rewrite_diamond-2, axiom, ( ~rewrite(_u10, _u9) | ~rewrite(_u10, _u8) | rewrite(_u8, skolem1(_u10, _u9, _u8)) )).
% 36.34/36.54
% 36.34/36.54 % Formula: goal_to_be_proved ( conjecture ) (definitionally) converted to clauses:
% 36.34/36.54 cnf(goal_to_be_proved-1, negated_conjecture, ( ~goal )).
% 36.34/36.54
% 36.34/36.54 % Problem matrix:
% 36.34/36.54 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 36.34/36.54 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 36.34/36.54 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 36.34/36.54 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 36.34/36.54 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~reflexive_rewrite(__eqx_0, __eqx_1) | reflexive_rewrite(__eqy_0, __eqy_1) )).
% 36.34/36.54 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rewrite(__eqx_0, __eqx_1) | rewrite(__eqy_0, __eqy_1) )).
% 36.34/36.54 cnf(matrix-6, plain, ( reflexive_rewrite(a, b) )).
% 36.34/36.54 cnf(matrix-7, plain, ( reflexive_rewrite(a, c) )).
% 36.34/36.54 cnf(matrix-8, plain, ( goal | ~reflexive_rewrite(b, _u0) | ~reflexive_rewrite(c, _u0) )).
% 36.34/36.54 cnf(matrix-9, plain, ( ( _u2 != _u1) | reflexive_rewrite(_u2, _u1) )).
% 36.34/36.54 cnf(matrix-10, plain, ( ~rewrite(_u4, _u3) | reflexive_rewrite(_u4, _u3) )).
% 36.34/36.54 cnf(matrix-11, plain, ( ~reflexive_rewrite(_u6, _u5) | ( _u6 = _u5) | rewrite(_u6, _u5) )).
% 36.34/36.54 cnf(matrix-12, plain, ( ~rewrite(_u10, _u9) | ~rewrite(_u10, _u8) | rewrite(_u9, skolem1(_u10, _u9, _u8)) )).
% 36.34/36.54 cnf(matrix-13, plain, ( ~rewrite(_u10, _u9) | ~rewrite(_u10, _u8) | rewrite(_u8, skolem1(_u10, _u9, _u8)) )).
% 36.34/36.54 cnf(matrix-14, plain, ( ~goal )).
% 36.34/36.54
% 36.34/36.54 % Proof stack:
% 36.34/36.54 cnf(proof-stack, plain,
% 36.34/36.54 proof_stack(
% 36.34/36.54 start(14),
% 36.34/36.54 left_branch(0, 8, 0, 2),
% 36.34/36.54 left_branch(0, 9, 1, 3),
% 36.34/36.54 left_branch(0, 1, 1, 4),
% 36.34/36.54 left_branch(0, 0, 0, 5),
% 36.34/36.54 right_branch(5),
% 36.34/36.54 right_branch(4),
% 36.34/36.54 right_branch(3),
% 36.34/36.54 left_branch(0, 4, 3, 4),
% 36.34/36.54 left_branch(0, 11, 1, 5),
% 36.34/36.54 left_branch(0, 6, 0, 6),
% 36.34/36.54 right_branch(6),
% 36.34/36.54 left_branch(0, 5, 2, 7),
% 36.34/36.54 left_branch(0, 1, 1, 8),
% 36.34/36.54 left_branch(0, 0, 0, 9),
% 36.34/36.54 right_branch(9),
% 36.34/36.54 right_branch(8),
% 36.34/36.54 left_branch(0, 13, 0, 9),
% 36.34/36.54 left_branch(0, 10, 0, 10),
% 36.34/36.54 left_branch(0, 8, 1, 11),
% 36.34/36.54 reduction(0, 0),
% 36.34/36.54 left_branch(0, 10, 1, 13),
% 36.34/36.54 left_branch(0, 12, 2, 14),
% 36.34/36.54 reduction(0, 4),
% 36.34/36.54 reduction(0, 3),
% 36.34/36.54 right_branch(14),
% 36.34/36.54 right_branch(13),
% 36.34/36.54 right_branch(11),
% 36.34/36.54 right_branch(10),
% 36.34/36.54 reduction(0, 3),
% 36.34/36.54 right_branch(9),
% 36.34/36.54 left_branch(0, 1, 1, 10),
% 36.34/36.54 left_branch(0, 11, 1, 11),
% 36.34/36.54 left_branch(0, 10, 1, 12),
% 36.34/36.54 left_branch(0, 5, 3, 13),
% 36.34/36.54 left_branch(0, 11, 1, 14),
% 36.34/36.54 left_branch(0, 7, 0, 15),
% 36.34/36.54 right_branch(15),
% 36.34/36.54 lemmata(0, 3),
% 36.34/36.54 right_branch(14),
% 36.34/36.54 reduction(0, 3),
% 36.34/36.54 left_branch(0, 0, 0, 16),
% 36.34/36.54 right_branch(16),
% 36.34/36.54 right_branch(13),
% 36.34/36.54 right_branch(12),
% 36.34/36.54 left_branch(0, 10, 0, 13),
% 36.34/36.54 left_branch(0, 8, 2, 14),
% 36.34/36.54 reduction(0, 0),
% 36.34/36.54 left_branch(0, 9, 1, 16),
% 36.34/36.54 left_branch(0, 0, 0, 17),
% 36.34/36.54 right_branch(17),
% 36.34/36.54 right_branch(16),
% 36.34/36.54 right_branch(14),
% 36.34/36.54 right_branch(13),
% 36.34/36.54 right_branch(11),
% 36.34/36.54 right_branch(10),
% 36.34/36.54 right_branch(7),
% 36.34/36.54 right_branch(5),
% 36.34/36.54 left_branch(0, 9, 1, 6),
% 36.34/36.54 left_branch(0, 1, 1, 7),
% 36.34/36.54 left_branch(0, 11, 1, 8),
% 36.34/36.54 left_branch(0, 10, 1, 9),
% 36.34/36.54 left_branch(0, 5, 3, 10),
% 36.34/36.54 left_branch(0, 11, 1, 11),
% 36.34/36.54 left_branch(0, 7, 0, 12),
% 36.34/36.54 right_branch(12),
% 36.34/36.54 left_branch(0, 10, 0, 13),
% 36.34/36.54 reduction(0, 2),
% 36.34/36.54 right_branch(13),
% 36.34/36.54 right_branch(11),
% 36.34/36.54 left_branch(0, 11, 2, 12),
% 36.34/36.54 left_branch(0, 9, 1, 13),
% 36.34/36.54 left_branch(0, 0, 0, 14),
% 36.34/36.54 right_branch(14),
% 36.34/36.54 right_branch(13),
% 36.34/36.54 left_branch(0, 4, 0, 14),
% 36.34/36.54 reduction(0, 2),
% 36.34/36.54 left_branch(0, 7, 0, 16),
% 36.34/36.54 right_branch(16),
% 36.34/36.54 left_branch(0, 0, 0, 17),
% 36.34/36.54 right_branch(17),
% 36.34/36.54 right_branch(14),
% 36.34/36.54 right_branch(12),
% 36.34/36.54 left_branch(0, 0, 0, 13),
% 36.34/36.54 right_branch(13),
% 36.34/36.54 right_branch(10),
% 36.34/36.54 right_branch(9),
% 36.34/36.54 left_branch(0, 10, 0, 10),
% 36.34/36.54 left_branch(0, 8, 2, 11),
% 36.34/36.54 reduction(0, 0),
% 36.34/36.54 left_branch(0, 9, 1, 13),
% 36.34/36.54 left_branch(0, 1, 1, 14),
% 36.34/36.54 lemmata(0, 1),
% 36.34/36.54 right_branch(14),
% 36.34/36.54 right_branch(13),
% 36.34/36.54 right_branch(11),
% 36.34/36.54 right_branch(10),
% 36.34/36.54 right_branch(8),
% 36.34/36.54 right_branch(7),
% 36.34/36.54 right_branch(6),
% 36.34/36.54 left_branch(0, 0, 0, 7),
% 36.34/36.54 right_branch(7),
% 36.34/36.54 right_branch(4),
% 36.34/36.54 right_branch(2)
% 36.34/36.54 )).
% 36.34/36.54 % SZS output end Proof for theBenchmark
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