TSTP Solution File: MGT053+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n012.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 : Wed Mar 6 09:11:01 EST 2024
% Result : Theorem 12.41s 12.63s
% Output : Proof 12.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n012.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 : Mon Mar 4 04:01:24 EST 2024
% 0.12/0.33 % CPUTime :
% 12.41/12.63 % SZS status Theorem for theBenchmark
% 12.41/12.63 % SZS output start Proof for theBenchmark
% 12.41/12.63
% 12.41/12.63 % Formula: definition_smaller_or_equal ( axiom ) converted to clauses:
% 12.41/12.63 cnf(definition_smaller_or_equal-1, axiom, ( ~smaller_or_equal(_u4, _u2) | smaller(_u4, _u2) | ( _u4 = _u2) )).
% 12.41/12.63 cnf(definition_smaller_or_equal-2, axiom, ( smaller_or_equal(_u5, _u3) | ~smaller(_u5, _u3) )).
% 12.41/12.63 cnf(definition_smaller_or_equal-3, axiom, ( smaller_or_equal(_u5, _u3) | ( _u5 != _u3) )).
% 12.41/12.63
% 12.41/12.63 % Formula: definition_greater_or_equal ( axiom ) converted to clauses:
% 12.41/12.63 cnf(definition_greater_or_equal-1, axiom, ( ~greater_or_equal(_u10, _u8) | greater(_u10, _u8) | ( _u10 = _u8) )).
% 12.41/12.63 cnf(definition_greater_or_equal-2, axiom, ( greater_or_equal(_u11, _u9) | ~greater(_u11, _u9) )).
% 12.41/12.63 cnf(definition_greater_or_equal-3, axiom, ( greater_or_equal(_u11, _u9) | ( _u11 != _u9) )).
% 12.41/12.63
% 12.41/12.63 % Formula: definition_smaller ( axiom ) converted to clauses:
% 12.41/12.63 cnf(definition_smaller-1, axiom, ( ~smaller(_u16, _u14) | greater(_u14, _u16) )).
% 12.41/12.63 cnf(definition_smaller-2, axiom, ( ~greater(_u15, _u17) | smaller(_u17, _u15) )).
% 12.41/12.63
% 12.41/12.63 % Formula: meaning_postulate_greater_strict ( axiom ) converted to clauses:
% 12.41/12.63 cnf(meaning_postulate_greater_strict-1, axiom, ( ~greater(_u19, _u18) | ~greater(_u18, _u19) )).
% 12.41/12.63
% 12.41/12.63 % Formula: meaning_postulate_greater_transitive ( axiom ) converted to clauses:
% 12.41/12.63 cnf(meaning_postulate_greater_transitive-1, axiom, ( ~greater(_u22, _u21) | ~greater(_u21, _u20) | greater(_u22, _u20) )).
% 12.41/12.63
% 12.41/12.63 % Formula: meaning_postulate_greater_comparable ( axiom ) converted to clauses:
% 12.41/12.63 cnf(meaning_postulate_greater_comparable-1, axiom, ( smaller(_u24, _u23) | ( _u24 = _u23) | greater(_u24, _u23) )).
% 12.41/12.63
% 12.41/12.63 % Formula: definition_2 ( axiom ) converted to clauses:
% 12.41/12.63 cnf(definition_2-1, axiom, ( ~dissimilar(_u32, _u30, _u28) | organization(_u32) )).
% 12.41/12.63 cnf(definition_2-2, axiom, ( ~dissimilar(_u32, _u30, _u28) | is_aligned(_u32, _u30) | is_aligned(_u32, _u28) )).
% 12.41/12.63 cnf(definition_2-3, axiom, ( ~dissimilar(_u32, _u30, _u28) | ~is_aligned(_u32, _u28) | ~is_aligned(_u32, _u30) )).
% 12.41/12.63 cnf(definition_2-4, axiom, ( dissimilar(_u33, _u31, _u29) | ~organization(_u33) | ~is_aligned(_u33, _u31) | is_aligned(_u33, _u29) )).
% 12.41/12.63 cnf(definition_2-5, axiom, ( dissimilar(_u33, _u31, _u29) | ~organization(_u33) | ~is_aligned(_u33, _u29) | is_aligned(_u33, _u31) )).
% 12.41/12.63
% 12.41/12.63 % Formula: lemma_7 ( conjecture ) converted to clauses:
% 12.41/12.63 cnf(lemma_7-1, negated_conjecture, ( dissimilar(skolem1, skolem2, skolem3) | dissimilar(skolem4, skolem6, skolem5) )).
% 12.41/12.63 cnf(lemma_7-2, negated_conjecture, ( dissimilar(skolem1, skolem2, skolem3) | ~dissimilar(skolem4, skolem5, skolem6) )).
% 12.41/12.63 cnf(lemma_7-3, negated_conjecture, ( ~dissimilar(skolem1, skolem3, skolem2) | dissimilar(skolem4, skolem6, skolem5) )).
% 12.41/12.63 cnf(lemma_7-4, negated_conjecture, ( ~dissimilar(skolem1, skolem3, skolem2) | ~dissimilar(skolem4, skolem5, skolem6) )).
% 12.41/12.63
% 12.41/12.63 % Problem matrix:
% 12.41/12.63 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.41/12.63 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.41/12.63 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.41/12.63 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~smaller_or_equal(__eqx_0, __eqx_1) | smaller_or_equal(__eqy_0, __eqy_1) )).
% 12.41/12.63 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~smaller(__eqx_0, __eqx_1) | smaller(__eqy_0, __eqy_1) )).
% 12.41/12.63 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater_or_equal(__eqx_0, __eqx_1) | greater_or_equal(__eqy_0, __eqy_1) )).
% 12.41/12.63 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~greater(__eqx_0, __eqx_1) | greater(__eqy_0, __eqy_1) )).
% 12.41/12.63 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~dissimilar(__eqx_0, __eqx_1, __eqx_2) | dissimilar(__eqy_0, __eqy_1, __eqy_2) )).
% 12.41/12.63 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~organization(__eqx_0) | organization(__eqy_0) )).
% 12.41/12.63 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~is_aligned(__eqx_0, __eqx_1) | is_aligned(__eqy_0, __eqy_1) )).
% 12.41/12.63 cnf(matrix-10, plain, ( ~smaller_or_equal(_u4, _u2) | smaller(_u4, _u2) | ( _u4 = _u2) )).
% 12.41/12.63 cnf(matrix-11, plain, ( smaller_or_equal(_u5, _u3) | ~smaller(_u5, _u3) )).
% 12.41/12.63 cnf(matrix-12, plain, ( smaller_or_equal(_u5, _u3) | ( _u5 != _u3) )).
% 12.41/12.63 cnf(matrix-13, plain, ( ~greater_or_equal(_u10, _u8) | greater(_u10, _u8) | ( _u10 = _u8) )).
% 12.41/12.63 cnf(matrix-14, plain, ( greater_or_equal(_u11, _u9) | ~greater(_u11, _u9) )).
% 12.41/12.63 cnf(matrix-15, plain, ( greater_or_equal(_u11, _u9) | ( _u11 != _u9) )).
% 12.41/12.63 cnf(matrix-16, plain, ( ~smaller(_u16, _u14) | greater(_u14, _u16) )).
% 12.41/12.63 cnf(matrix-17, plain, ( ~greater(_u15, _u17) | smaller(_u17, _u15) )).
% 12.41/12.63 cnf(matrix-18, plain, ( ~greater(_u19, _u18) | ~greater(_u18, _u19) )).
% 12.41/12.63 cnf(matrix-19, plain, ( ~greater(_u22, _u21) | ~greater(_u21, _u20) | greater(_u22, _u20) )).
% 12.41/12.63 cnf(matrix-20, plain, ( smaller(_u24, _u23) | ( _u24 = _u23) | greater(_u24, _u23) )).
% 12.41/12.63 cnf(matrix-21, plain, ( ~dissimilar(_u32, _u30, _u28) | organization(_u32) )).
% 12.41/12.63 cnf(matrix-22, plain, ( ~dissimilar(_u32, _u30, _u28) | is_aligned(_u32, _u30) | is_aligned(_u32, _u28) )).
% 12.41/12.63 cnf(matrix-23, plain, ( ~dissimilar(_u32, _u30, _u28) | ~is_aligned(_u32, _u28) | ~is_aligned(_u32, _u30) )).
% 12.41/12.63 cnf(matrix-24, plain, ( dissimilar(_u33, _u31, _u29) | ~organization(_u33) | ~is_aligned(_u33, _u31) | is_aligned(_u33, _u29) )).
% 12.41/12.63 cnf(matrix-25, plain, ( dissimilar(_u33, _u31, _u29) | ~organization(_u33) | ~is_aligned(_u33, _u29) | is_aligned(_u33, _u31) )).
% 12.41/12.63 cnf(matrix-26, plain, ( dissimilar(skolem1, skolem2, skolem3) | dissimilar(skolem4, skolem6, skolem5) )).
% 12.41/12.63 cnf(matrix-27, plain, ( dissimilar(skolem1, skolem2, skolem3) | ~dissimilar(skolem4, skolem5, skolem6) )).
% 12.41/12.63 cnf(matrix-28, plain, ( ~dissimilar(skolem1, skolem3, skolem2) | dissimilar(skolem4, skolem6, skolem5) )).
% 12.41/12.63 cnf(matrix-29, plain, ( ~dissimilar(skolem1, skolem3, skolem2) | ~dissimilar(skolem4, skolem5, skolem6) )).
% 12.41/12.63
% 12.41/12.63 % Proof stack:
% 12.41/12.63 cnf(proof-stack, plain,
% 12.41/12.63 proof_stack(
% 12.41/12.63 start(26),
% 12.41/12.63 left_branch(0, 23, 0, 2),
% 12.41/12.63 left_branch(0, 24, 3, 3),
% 12.41/12.63 left_branch(0, 28, 0, 4),
% 12.41/12.63 left_branch(0, 23, 0, 5),
% 12.41/12.63 left_branch(0, 24, 3, 6),
% 12.41/12.63 left_branch(0, 29, 1, 7),
% 12.41/12.63 reduction(0, 2),
% 12.41/12.63 right_branch(7),
% 12.41/12.63 left_branch(0, 22, 2, 8),
% 12.41/12.63 reduction(0, 3),
% 12.41/12.63 reduction(0, 4),
% 12.41/12.63 right_branch(8),
% 12.41/12.63 left_branch(0, 21, 1, 9),
% 12.41/12.63 reduction(0, 3),
% 12.41/12.63 right_branch(9),
% 12.41/12.63 right_branch(6),
% 12.41/12.63 left_branch(0, 25, 3, 7),
% 12.41/12.63 left_branch(0, 29, 1, 8),
% 12.41/12.63 reduction(0, 2),
% 12.41/12.63 right_branch(8),
% 12.41/12.63 lemmata(0, 0),
% 12.41/12.63 left_branch(0, 21, 1, 10),
% 12.41/12.63 reduction(0, 3),
% 12.41/12.63 right_branch(10),
% 12.41/12.63 right_branch(7),
% 12.41/12.63 right_branch(5),
% 12.41/12.63 right_branch(4),
% 12.41/12.63 left_branch(0, 22, 2, 5),
% 12.41/12.63 reduction(0, 0),
% 12.41/12.63 reduction(0, 1),
% 12.41/12.63 right_branch(5),
% 12.41/12.63 left_branch(0, 21, 1, 6),
% 12.41/12.63 reduction(0, 0),
% 12.41/12.63 right_branch(6),
% 12.41/12.63 right_branch(3),
% 12.41/12.63 left_branch(0, 25, 3, 4),
% 12.41/12.63 left_branch(0, 28, 0, 5),
% 12.41/12.63 left_branch(0, 23, 0, 6),
% 12.41/12.63 left_branch(0, 24, 3, 7),
% 12.41/12.63 left_branch(0, 29, 1, 8),
% 12.41/12.63 reduction(0, 2),
% 12.41/12.63 right_branch(8),
% 12.41/12.63 left_branch(0, 22, 2, 9),
% 12.41/12.63 reduction(0, 3),
% 12.41/12.63 reduction(0, 4),
% 12.41/12.63 right_branch(9),
% 12.41/12.63 left_branch(0, 21, 1, 10),
% 12.41/12.63 reduction(0, 3),
% 12.41/12.63 right_branch(10),
% 12.41/12.63 right_branch(7),
% 12.41/12.63 left_branch(0, 25, 3, 8),
% 12.41/12.63 left_branch(0, 29, 1, 9),
% 12.41/12.63 reduction(0, 2),
% 12.41/12.63 right_branch(9),
% 12.41/12.63 lemmata(0, 1),
% 12.41/12.63 left_branch(0, 21, 1, 11),
% 12.41/12.63 reduction(0, 3),
% 12.41/12.63 right_branch(11),
% 12.41/12.63 right_branch(8),
% 12.41/12.63 right_branch(6),
% 12.41/12.63 right_branch(5),
% 12.41/12.63 lemmata(0, 0),
% 12.41/12.63 left_branch(0, 21, 1, 7),
% 12.41/12.63 reduction(0, 0),
% 12.41/12.63 right_branch(7),
% 12.41/12.63 right_branch(4),
% 12.41/12.63 right_branch(2),
% 12.41/12.63 left_branch(0, 23, 0, 3),
% 12.41/12.63 left_branch(0, 24, 3, 4),
% 12.41/12.63 left_branch(0, 27, 1, 5),
% 12.41/12.63 lemmata(0, 0),
% 12.41/12.63 right_branch(5),
% 12.41/12.63 left_branch(0, 22, 2, 6),
% 12.41/12.63 reduction(0, 0),
% 12.41/12.63 reduction(0, 1),
% 12.41/12.63 right_branch(6),
% 12.41/12.63 left_branch(0, 21, 1, 7),
% 12.41/12.63 reduction(0, 0),
% 12.41/12.63 right_branch(7),
% 12.41/12.63 right_branch(4),
% 12.41/12.63 left_branch(0, 25, 3, 5),
% 12.41/12.63 left_branch(0, 27, 1, 6),
% 12.41/12.63 lemmata(0, 0),
% 12.41/12.63 right_branch(6),
% 12.41/12.63 lemmata(0, 1),
% 12.41/12.63 left_branch(0, 21, 1, 8),
% 12.41/12.63 reduction(0, 0),
% 12.41/12.63 right_branch(8),
% 12.41/12.63 right_branch(5),
% 12.41/12.63 right_branch(3)
% 12.41/12.63 )).
% 12.41/12.63 % SZS output end Proof for theBenchmark
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