TSTP Solution File: PHI013+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : PHI013+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 : n023.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 0.62s 0.84s
% Output : Proof 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI013+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 : n023.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 01:13:26 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.62/0.84 % SZS status Theorem for theBenchmark
% 0.62/0.84 % SZS output start Proof for theBenchmark
% 0.62/0.84
% 0.62/0.84 % Formula: description_theorem_1 ( axiom ) converted to clauses:
% 0.62/0.84 cnf(description_theorem_1-1, axiom, ( ~property(_u3) | object(skolem2(_u3)) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | object(skolem1(_u3, _u1)) )).
% 0.62/0.84 cnf(description_theorem_1-2, axiom, ( ~property(_u3) | object(skolem2(_u3)) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | exemplifies_property(_u3, skolem1(_u3, _u1)) )).
% 0.62/0.84 cnf(description_theorem_1-3, axiom, ( ~property(_u3) | object(skolem2(_u3)) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | ( skolem1(_u3, _u1) != _u1) )).
% 0.62/0.84 cnf(description_theorem_1-4, axiom, ( ~property(_u3) | is_the(skolem2(_u3), _u3) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | object(skolem1(_u3, _u1)) )).
% 0.62/0.84 cnf(description_theorem_1-5, axiom, ( ~property(_u3) | is_the(skolem2(_u3), _u3) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | exemplifies_property(_u3, skolem1(_u3, _u1)) )).
% 0.62/0.84 cnf(description_theorem_1-6, axiom, ( ~property(_u3) | is_the(skolem2(_u3), _u3) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | ( skolem1(_u3, _u1) != _u1) )).
% 0.62/0.84
% 0.62/0.84 % Formula: description_theorem_2 ( axiom ) converted to clauses:
% 0.62/0.84 cnf(description_theorem_2-1, axiom, ( ~property(_u6) | ~object(_u4) | ~is_the(_u4, _u6) | ~object(_u5) | ~is_the(_u5, _u6) | exemplifies_property(_u6, _u5) )).
% 0.62/0.84
% 0.62/0.84 % Formula: description_is_property_and_described_is_object ( axiom ) converted to clauses:
% 0.62/0.84 cnf(description_is_property_and_described_is_object-1, axiom, ( ~is_the(_u8, _u7) | property(_u7) )).
% 0.62/0.84 cnf(description_is_property_and_described_is_object-2, axiom, ( ~is_the(_u8, _u7) | object(_u8) )).
% 0.62/0.84
% 0.62/0.84 % Formula: definition_none_greater ( axiom ) converted to clauses:
% 0.62/0.84 cnf(definition_none_greater-1, axiom, ( ~object(_u11) | ~exemplifies_property(none_greater, _u11) | exemplifies_property(conceivable, _u11) )).
% 0.62/0.84 cnf(definition_none_greater-2, axiom, ( ~object(_u11) | ~exemplifies_property(none_greater, _u11) | ~object(_u9) | ~exemplifies_relation(greater_than, _u9, _u11) | ~exemplifies_property(conceivable, _u9) )).
% 0.62/0.84 cnf(definition_none_greater-3, axiom, ( ~object(_u11) | exemplifies_property(none_greater, _u11) | ~exemplifies_property(conceivable, _u11) | object(skolem3(_u11)) )).
% 0.62/0.84 cnf(definition_none_greater-4, axiom, ( ~object(_u11) | exemplifies_property(none_greater, _u11) | ~exemplifies_property(conceivable, _u11) | exemplifies_relation(greater_than, skolem3(_u11), _u11) )).
% 0.62/0.84 cnf(definition_none_greater-5, axiom, ( ~object(_u11) | exemplifies_property(none_greater, _u11) | ~exemplifies_property(conceivable, _u11) | exemplifies_property(conceivable, skolem3(_u11)) )).
% 0.62/0.84
% 0.62/0.84 % Formula: premise_1 ( axiom ) converted to clauses:
% 0.62/0.84 cnf(premise_1-1, axiom, ( object(skolem4) )).
% 0.62/0.84 cnf(premise_1-2, axiom, ( exemplifies_property(none_greater, skolem4) )).
% 0.62/0.84
% 0.62/0.84 % Formula: lemma_2 ( axiom ) converted to clauses:
% 0.62/0.84 cnf(lemma_2-1, axiom, ( ~object(_u13) | ~exemplifies_property(none_greater, _u13) | object(skolem5) )).
% 0.62/0.84 cnf(lemma_2-2, axiom, ( ~object(_u13) | ~exemplifies_property(none_greater, _u13) | exemplifies_property(none_greater, skolem5) )).
% 0.62/0.84 cnf(lemma_2-3, axiom, ( ~object(_u13) | ~exemplifies_property(none_greater, _u13) | ~object(_u14) | ~exemplifies_property(none_greater, _u14) | ( _u14 = skolem5) )).
% 0.62/0.84
% 0.62/0.84 % Formula: premise_2 ( axiom ) converted to clauses:
% 0.62/0.84 cnf(premise_2-1, axiom, ( ~object(_u17) | ~is_the(_u17, none_greater) | exemplifies_property(existence, _u17) | object(skolem6(_u17)) )).
% 0.62/0.84 cnf(premise_2-2, axiom, ( ~object(_u17) | ~is_the(_u17, none_greater) | exemplifies_property(existence, _u17) | exemplifies_relation(greater_than, skolem6(_u17), _u17) )).
% 0.62/0.84 cnf(premise_2-3, axiom, ( ~object(_u17) | ~is_the(_u17, none_greater) | exemplifies_property(existence, _u17) | exemplifies_property(conceivable, skolem6(_u17)) )).
% 0.62/0.84
% 0.62/0.84 % Formula: definition_god ( axiom ) converted to clauses:
% 0.62/0.84 cnf(definition_god-1, axiom, ( is_the(god, none_greater) )).
% 0.62/0.84
% 0.62/0.84 % Formula: god_exists ( conjecture ) (definitionally) converted to clauses:
% 0.62/0.84 cnf(god_exists-1, negated_conjecture, ( ~exemplifies_property(existence, god) )).
% 0.62/0.84
% 0.62/0.84 % Problem matrix:
% 0.62/0.84 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.62/0.84 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.62/0.84 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.62/0.84 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.62/0.84 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 0.62/0.84 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.62/0.84 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.62/0.84 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~property(__eqx_0) | property(__eqy_0) )).
% 0.62/0.84 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~object(__eqx_0) | object(__eqy_0) )).
% 0.62/0.84 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~exemplifies_property(__eqx_0, __eqx_1) | exemplifies_property(__eqy_0, __eqy_1) )).
% 0.62/0.84 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~is_the(__eqx_0, __eqx_1) | is_the(__eqy_0, __eqy_1) )).
% 0.62/0.84 cnf(matrix-11, 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) )).
% 0.62/0.84 cnf(matrix-12, plain, ( ~property(_u3) | object(skolem2(_u3)) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | object(skolem1(_u3, _u1)) )).
% 0.62/0.84 cnf(matrix-13, plain, ( ~property(_u3) | object(skolem2(_u3)) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | exemplifies_property(_u3, skolem1(_u3, _u1)) )).
% 0.62/0.84 cnf(matrix-14, plain, ( ~property(_u3) | object(skolem2(_u3)) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | ( skolem1(_u3, _u1) != _u1) )).
% 0.62/0.84 cnf(matrix-15, plain, ( ~property(_u3) | is_the(skolem2(_u3), _u3) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | object(skolem1(_u3, _u1)) )).
% 0.62/0.84 cnf(matrix-16, plain, ( ~property(_u3) | is_the(skolem2(_u3), _u3) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | exemplifies_property(_u3, skolem1(_u3, _u1)) )).
% 0.62/0.84 cnf(matrix-17, plain, ( ~property(_u3) | is_the(skolem2(_u3), _u3) | ~object(_u1) | ~exemplifies_property(_u3, _u1) | ( skolem1(_u3, _u1) != _u1) )).
% 0.62/0.84 cnf(matrix-18, plain, ( ~property(_u6) | ~object(_u4) | ~is_the(_u4, _u6) | ~object(_u5) | ~is_the(_u5, _u6) | exemplifies_property(_u6, _u5) )).
% 0.62/0.84 cnf(matrix-19, plain, ( ~is_the(_u8, _u7) | property(_u7) )).
% 0.62/0.84 cnf(matrix-20, plain, ( ~is_the(_u8, _u7) | object(_u8) )).
% 0.62/0.84 cnf(matrix-21, plain, ( ~object(_u11) | ~exemplifies_property(none_greater, _u11) | exemplifies_property(conceivable, _u11) )).
% 0.62/0.84 cnf(matrix-22, plain, ( ~object(_u11) | ~exemplifies_property(none_greater, _u11) | ~object(_u9) | ~exemplifies_relation(greater_than, _u9, _u11) | ~exemplifies_property(conceivable, _u9) )).
% 0.62/0.84 cnf(matrix-23, plain, ( ~object(_u11) | exemplifies_property(none_greater, _u11) | ~exemplifies_property(conceivable, _u11) | object(skolem3(_u11)) )).
% 0.62/0.84 cnf(matrix-24, plain, ( ~object(_u11) | exemplifies_property(none_greater, _u11) | ~exemplifies_property(conceivable, _u11) | exemplifies_relation(greater_than, skolem3(_u11), _u11) )).
% 0.62/0.84 cnf(matrix-25, plain, ( ~object(_u11) | exemplifies_property(none_greater, _u11) | ~exemplifies_property(conceivable, _u11) | exemplifies_property(conceivable, skolem3(_u11)) )).
% 0.62/0.84 cnf(matrix-26, plain, ( object(skolem4) )).
% 0.62/0.84 cnf(matrix-27, plain, ( exemplifies_property(none_greater, skolem4) )).
% 0.62/0.84 cnf(matrix-28, plain, ( ~object(_u13) | ~exemplifies_property(none_greater, _u13) | object(skolem5) )).
% 0.62/0.84 cnf(matrix-29, plain, ( ~object(_u13) | ~exemplifies_property(none_greater, _u13) | exemplifies_property(none_greater, skolem5) )).
% 0.62/0.84 cnf(matrix-30, plain, ( ~object(_u13) | ~exemplifies_property(none_greater, _u13) | ~object(_u14) | ~exemplifies_property(none_greater, _u14) | ( _u14 = skolem5) )).
% 0.62/0.84 cnf(matrix-31, plain, ( ~object(_u17) | ~is_the(_u17, none_greater) | exemplifies_property(existence, _u17) | object(skolem6(_u17)) )).
% 0.62/0.84 cnf(matrix-32, plain, ( ~object(_u17) | ~is_the(_u17, none_greater) | exemplifies_property(existence, _u17) | exemplifies_relation(greater_than, skolem6(_u17), _u17) )).
% 0.62/0.84 cnf(matrix-33, plain, ( ~object(_u17) | ~is_the(_u17, none_greater) | exemplifies_property(existence, _u17) | exemplifies_property(conceivable, skolem6(_u17)) )).
% 0.62/0.84 cnf(matrix-34, plain, ( is_the(god, none_greater) )).
% 0.62/0.84 cnf(matrix-35, plain, ( ~exemplifies_property(existence, god) )).
% 0.62/0.84
% 0.62/0.84 % Proof stack:
% 0.62/0.84 cnf(proof-stack, plain,
% 0.62/0.84 proof_stack(
% 0.62/0.84 start(35),
% 0.62/0.84 left_branch(0, 32, 2, 2),
% 0.62/0.84 left_branch(0, 20, 1, 3),
% 0.62/0.84 left_branch(0, 34, 0, 4),
% 0.62/0.84 right_branch(4),
% 0.62/0.84 right_branch(3),
% 0.62/0.84 left_branch(0, 22, 3, 4),
% 0.62/0.84 lemmata(0, 0),
% 0.62/0.84 left_branch(0, 33, 3, 6),
% 0.62/0.84 lemmata(0, 0),
% 0.62/0.84 reduction(0, 0),
% 0.62/0.84 left_branch(0, 34, 0, 9),
% 0.62/0.84 right_branch(9),
% 0.62/0.84 right_branch(6),
% 0.62/0.84 left_branch(0, 31, 3, 7),
% 0.62/0.84 lemmata(0, 0),
% 0.62/0.84 reduction(0, 0),
% 0.62/0.84 left_branch(0, 34, 0, 10),
% 0.62/0.84 right_branch(10),
% 0.62/0.84 right_branch(7),
% 0.62/0.84 left_branch(0, 18, 5, 8),
% 0.62/0.84 left_branch(0, 19, 1, 9),
% 0.62/0.84 left_branch(0, 34, 0, 10),
% 0.62/0.84 right_branch(10),
% 0.62/0.84 right_branch(9),
% 0.62/0.84 left_branch(0, 34, 0, 10),
% 0.62/0.84 right_branch(10),
% 0.62/0.84 lemmata(0, 0),
% 0.62/0.84 left_branch(0, 34, 0, 12),
% 0.62/0.84 right_branch(12),
% 0.62/0.84 lemmata(0, 0),
% 0.62/0.84 right_branch(8),
% 0.62/0.84 right_branch(4),
% 0.62/0.84 left_branch(0, 34, 0, 5),
% 0.62/0.84 right_branch(5),
% 0.62/0.84 right_branch(2)
% 0.62/0.84 )).
% 0.62/0.84 % SZS output end Proof for theBenchmark
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