TSTP Solution File: PHI012+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% 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 14:28:36 EDT 2024
% Result : Theorem 12.47s 12.71s
% Output : Proof 12.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% 0.03/0.12 % 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 : Thu Mar 21 00:53:29 EDT 2024
% 0.12/0.33 % CPUTime :
% 12.47/12.71 % SZS status Theorem for theBenchmark
% 12.47/12.71 % SZS output start Proof for theBenchmark
% 12.47/12.71
% 12.47/12.71 % Formula: definition_none_greater ( axiom ) converted to clauses:
% 12.47/12.71 cnf(definition_none_greater-1, axiom, ( ~object(_u2) | ~exemplifies_property(none_greater, _u2) | exemplifies_property(conceivable, _u2) )).
% 12.47/12.71 cnf(definition_none_greater-2, axiom, ( ~object(_u2) | ~exemplifies_property(none_greater, _u2) | ~object(_u0) | ~exemplifies_relation(greater_than, _u0, _u2) | ~exemplifies_property(conceivable, _u0) )).
% 12.47/12.71 cnf(definition_none_greater-3, axiom, ( ~object(_u2) | exemplifies_property(none_greater, _u2) | ~exemplifies_property(conceivable, _u2) | object(skolem1(_u2)) )).
% 12.47/12.71 cnf(definition_none_greater-4, axiom, ( ~object(_u2) | exemplifies_property(none_greater, _u2) | ~exemplifies_property(conceivable, _u2) | exemplifies_relation(greater_than, skolem1(_u2), _u2) )).
% 12.47/12.71 cnf(definition_none_greater-5, axiom, ( ~object(_u2) | exemplifies_property(none_greater, _u2) | ~exemplifies_property(conceivable, _u2) | exemplifies_property(conceivable, skolem1(_u2)) )).
% 12.47/12.71
% 12.47/12.71 % Formula: connectedness_of_greater_than ( axiom ) converted to clauses:
% 12.47/12.71 cnf(connectedness_of_greater_than-1, axiom, ( ~object(_u4) | ~object(_u3) | exemplifies_relation(greater_than, _u4, _u3) | exemplifies_relation(greater_than, _u3, _u4) | ( _u4 = _u3) )).
% 12.47/12.71
% 12.47/12.71 % Formula: lemma_2 ( conjecture ) (definitionally) converted to clauses:
% 12.47/12.71 cnf(lemma_2-1, negated_conjecture, ( object(skolem2) )).
% 12.47/12.71 cnf(lemma_2-2, negated_conjecture, ( exemplifies_property(none_greater, skolem2) )).
% 12.47/12.71 cnf(lemma_2-3, negated_conjecture, ( ~object(_u7) | ~exemplifies_property(none_greater, _u7) | ~_def0(_u7) )).
% 12.47/12.71 cnf(lemma_2-4, negated_conjecture, ( _def0(_u7) | object(skolem3(_u7)) )).
% 12.47/12.71 cnf(lemma_2-5, negated_conjecture, ( _def0(_u7) | exemplifies_property(none_greater, skolem3(_u7)) )).
% 12.47/12.71 cnf(lemma_2-6, negated_conjecture, ( _def0(_u7) | ( skolem3(_u7) != _u7) )).
% 12.47/12.71
% 12.47/12.71 % Problem matrix:
% 12.47/12.71 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.47/12.71 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.47/12.71 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.47/12.71 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 12.47/12.71 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 12.47/12.71 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~object(__eqx_0) | object(__eqy_0) )).
% 12.47/12.71 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~exemplifies_property(__eqx_0, __eqx_1) | exemplifies_property(__eqy_0, __eqy_1) )).
% 12.47/12.71 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~exemplifies_relation(__eqx_0, __eqx_1, __eqx_2) | exemplifies_relation(__eqy_0, __eqy_1, __eqy_2) )).
% 12.47/12.71 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~_def0(__eqx_0) | _def0(__eqy_0) )).
% 12.47/12.71 cnf(matrix-9, plain, ( ~object(_u2) | ~exemplifies_property(none_greater, _u2) | exemplifies_property(conceivable, _u2) )).
% 12.47/12.71 cnf(matrix-10, plain, ( ~object(_u2) | ~exemplifies_property(none_greater, _u2) | ~object(_u0) | ~exemplifies_relation(greater_than, _u0, _u2) | ~exemplifies_property(conceivable, _u0) )).
% 12.47/12.71 cnf(matrix-11, plain, ( ~object(_u2) | exemplifies_property(none_greater, _u2) | ~exemplifies_property(conceivable, _u2) | object(skolem1(_u2)) )).
% 12.47/12.71 cnf(matrix-12, plain, ( ~object(_u2) | exemplifies_property(none_greater, _u2) | ~exemplifies_property(conceivable, _u2) | exemplifies_relation(greater_than, skolem1(_u2), _u2) )).
% 12.47/12.71 cnf(matrix-13, plain, ( ~object(_u2) | exemplifies_property(none_greater, _u2) | ~exemplifies_property(conceivable, _u2) | exemplifies_property(conceivable, skolem1(_u2)) )).
% 12.47/12.71 cnf(matrix-14, plain, ( ~object(_u4) | ~object(_u3) | exemplifies_relation(greater_than, _u4, _u3) | exemplifies_relation(greater_than, _u3, _u4) | ( _u4 = _u3) )).
% 12.47/12.71 cnf(matrix-15, plain, ( object(skolem2) )).
% 12.47/12.71 cnf(matrix-16, plain, ( exemplifies_property(none_greater, skolem2) )).
% 12.47/12.71 cnf(matrix-17, plain, ( ~object(_u7) | ~exemplifies_property(none_greater, _u7) | ~_def0(_u7) )).
% 12.47/12.71 cnf(matrix-18, plain, ( _def0(_u7) | object(skolem3(_u7)) )).
% 12.47/12.71 cnf(matrix-19, plain, ( _def0(_u7) | exemplifies_property(none_greater, skolem3(_u7)) )).
% 12.47/12.71 cnf(matrix-20, plain, ( _def0(_u7) | ( skolem3(_u7) != _u7) )).
% 12.47/12.71
% 12.47/12.71 % Proof stack:
% 12.47/12.71 cnf(proof-stack, plain,
% 12.47/12.71 proof_stack(
% 12.47/12.71 start(15),
% 12.47/12.71 left_branch(0, 14, 0, 2),
% 12.47/12.71 left_branch(0, 4, 0, 3),
% 12.47/12.71 left_branch(0, 2, 0, 4),
% 12.47/12.71 left_branch(0, 20, 1, 5),
% 12.47/12.71 left_branch(0, 17, 2, 6),
% 12.47/12.71 reduction(0, 0),
% 12.47/12.71 left_branch(0, 16, 0, 8),
% 12.47/12.71 right_branch(8),
% 12.47/12.71 right_branch(6),
% 12.47/12.71 right_branch(5),
% 12.47/12.71 left_branch(0, 1, 1, 6),
% 12.47/12.71 left_branch(0, 2, 2, 7),
% 12.47/12.71 reduction(0, 1),
% 12.47/12.71 reduction(0, 2),
% 12.47/12.71 right_branch(7),
% 12.47/12.71 right_branch(6),
% 12.47/12.71 right_branch(4),
% 12.47/12.71 right_branch(3),
% 12.47/12.71 left_branch(0, 10, 3, 4),
% 12.47/12.71 reduction(0, 0),
% 12.47/12.71 left_branch(0, 9, 2, 6),
% 12.47/12.71 left_branch(0, 18, 1, 7),
% 12.47/12.71 left_branch(0, 17, 2, 8),
% 12.47/12.71 lemmata(0, 1),
% 12.47/12.71 left_branch(0, 16, 0, 10),
% 12.47/12.71 right_branch(10),
% 12.47/12.71 right_branch(8),
% 12.47/12.71 right_branch(7),
% 12.47/12.71 left_branch(0, 19, 1, 8),
% 12.47/12.71 left_branch(0, 17, 2, 9),
% 12.47/12.71 lemmata(0, 1),
% 12.47/12.71 left_branch(0, 16, 0, 11),
% 12.47/12.71 right_branch(11),
% 12.47/12.71 right_branch(9),
% 12.47/12.71 right_branch(8),
% 12.47/12.71 right_branch(6),
% 12.47/12.71 left_branch(0, 18, 1, 7),
% 12.47/12.71 left_branch(0, 17, 2, 8),
% 12.47/12.71 lemmata(0, 1),
% 12.47/12.71 left_branch(0, 16, 0, 10),
% 12.47/12.71 right_branch(10),
% 12.47/12.71 right_branch(8),
% 12.47/12.71 right_branch(7),
% 12.47/12.71 left_branch(0, 16, 0, 8),
% 12.47/12.71 right_branch(8),
% 12.47/12.71 right_branch(4),
% 12.47/12.71 left_branch(0, 10, 3, 5),
% 12.47/12.71 left_branch(0, 18, 1, 6),
% 12.47/12.71 left_branch(0, 17, 2, 7),
% 12.47/12.71 reduction(0, 0),
% 12.47/12.71 left_branch(0, 16, 0, 9),
% 12.47/12.71 right_branch(9),
% 12.47/12.71 right_branch(7),
% 12.47/12.71 right_branch(6),
% 12.47/12.71 left_branch(0, 9, 2, 7),
% 12.47/12.71 reduction(0, 0),
% 12.47/12.71 left_branch(0, 16, 0, 9),
% 12.47/12.71 right_branch(9),
% 12.47/12.71 right_branch(7),
% 12.47/12.71 reduction(0, 0),
% 12.47/12.71 left_branch(0, 19, 1, 9),
% 12.47/12.71 left_branch(0, 17, 2, 10),
% 12.47/12.71 lemmata(0, 4),
% 12.47/12.71 left_branch(0, 16, 0, 12),
% 12.47/12.71 right_branch(12),
% 12.47/12.71 right_branch(10),
% 12.47/12.71 right_branch(9),
% 12.47/12.71 right_branch(5),
% 12.47/12.71 left_branch(0, 18, 1, 6),
% 12.47/12.71 left_branch(0, 17, 2, 7),
% 12.47/12.71 reduction(0, 0),
% 12.47/12.71 left_branch(0, 16, 0, 9),
% 12.47/12.71 right_branch(9),
% 12.47/12.71 right_branch(7),
% 12.47/12.71 right_branch(6),
% 12.47/12.71 right_branch(2)
% 12.47/12.71 )).
% 12.47/12.71 % SZS output end Proof for theBenchmark
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