TSTP Solution File: PHI009+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : PHI009+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 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI009+1 : TPTP v8.1.2. Released v7.2.0.
% 0.11/0.12 % 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 00:53:44 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% 0.12/0.36
% 0.12/0.36 % Formula: description_axiom_schema_instance ( axiom ) converted to clauses:
% 0.12/0.36 cnf(description_axiom_schema_instance-1, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | ~is_the(_u4, _u6) | ~exemplifies_property(_u5, _u4) | object(skolem1(_u6, _u5, _u4)) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-2, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | ~is_the(_u4, _u6) | ~exemplifies_property(_u5, _u4) | exemplifies_property(_u6, skolem1(_u6, _u5, _u4)) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-3, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | ~is_the(_u4, _u6) | ~exemplifies_property(_u5, _u4) | ~object(_u0) | ~exemplifies_property(_u6, _u0) | ( _u0 = skolem1(_u6, _u5, _u4)) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-4, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | ~is_the(_u4, _u6) | ~exemplifies_property(_u5, _u4) | exemplifies_property(_u5, skolem1(_u6, _u5, _u4)) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-5, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | is_the(_u4, _u6) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | object(skolem2(_u6, _u5, _u4, _u3)) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-6, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | is_the(_u4, _u6) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | exemplifies_property(_u6, skolem2(_u6, _u5, _u4, _u3)) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-7, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | is_the(_u4, _u6) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | ( skolem2(_u6, _u5, _u4, _u3) != _u3) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-8, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | exemplifies_property(_u5, _u4) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | object(skolem2(_u6, _u5, _u4, _u3)) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-9, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | exemplifies_property(_u5, _u4) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | exemplifies_property(_u6, skolem2(_u6, _u5, _u4, _u3)) )).
% 0.12/0.36 cnf(description_axiom_schema_instance-10, axiom, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | exemplifies_property(_u5, _u4) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | ( skolem2(_u6, _u5, _u4, _u3) != _u3) )).
% 0.12/0.36
% 0.12/0.36 % Formula: description_theorem_1 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.36 cnf(description_theorem_1-1, negated_conjecture, ( property(skolem3) )).
% 0.12/0.36 cnf(description_theorem_1-2, negated_conjecture, ( object(skolem4) )).
% 0.12/0.36 cnf(description_theorem_1-3, negated_conjecture, ( exemplifies_property(skolem3, skolem4) )).
% 0.12/0.36 cnf(description_theorem_1-4, negated_conjecture, ( ~object(_u7) | ~exemplifies_property(skolem3, _u7) | ( _u7 = skolem4) )).
% 0.12/0.36 cnf(description_theorem_1-5, negated_conjecture, ( ~object(_u9) | ~is_the(_u9, skolem3) )).
% 0.12/0.36
% 0.12/0.36 % Problem matrix:
% 0.12/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.36 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)) )).
% 0.12/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.12/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~property(__eqx_0) | property(__eqy_0) )).
% 0.12/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~object(__eqx_0) | object(__eqy_0) )).
% 0.12/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~is_the(__eqx_0, __eqx_1) | is_the(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~exemplifies_property(__eqx_0, __eqx_1) | exemplifies_property(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-9, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | ~is_the(_u4, _u6) | ~exemplifies_property(_u5, _u4) | object(skolem1(_u6, _u5, _u4)) )).
% 0.12/0.36 cnf(matrix-10, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | ~is_the(_u4, _u6) | ~exemplifies_property(_u5, _u4) | exemplifies_property(_u6, skolem1(_u6, _u5, _u4)) )).
% 0.12/0.36 cnf(matrix-11, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | ~is_the(_u4, _u6) | ~exemplifies_property(_u5, _u4) | ~object(_u0) | ~exemplifies_property(_u6, _u0) | ( _u0 = skolem1(_u6, _u5, _u4)) )).
% 0.12/0.36 cnf(matrix-12, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | ~is_the(_u4, _u6) | ~exemplifies_property(_u5, _u4) | exemplifies_property(_u5, skolem1(_u6, _u5, _u4)) )).
% 0.12/0.36 cnf(matrix-13, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | is_the(_u4, _u6) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | object(skolem2(_u6, _u5, _u4, _u3)) )).
% 0.12/0.36 cnf(matrix-14, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | is_the(_u4, _u6) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | exemplifies_property(_u6, skolem2(_u6, _u5, _u4, _u3)) )).
% 0.12/0.36 cnf(matrix-15, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | is_the(_u4, _u6) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | ( skolem2(_u6, _u5, _u4, _u3) != _u3) )).
% 0.12/0.36 cnf(matrix-16, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | exemplifies_property(_u5, _u4) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | object(skolem2(_u6, _u5, _u4, _u3)) )).
% 0.12/0.36 cnf(matrix-17, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | exemplifies_property(_u5, _u4) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | exemplifies_property(_u6, skolem2(_u6, _u5, _u4, _u3)) )).
% 0.12/0.36 cnf(matrix-18, plain, ( ~property(_u6) | ~property(_u5) | ~object(_u4) | exemplifies_property(_u5, _u4) | ~object(_u3) | ~exemplifies_property(_u6, _u3) | ~exemplifies_property(_u5, _u3) | ( skolem2(_u6, _u5, _u4, _u3) != _u3) )).
% 0.12/0.36 cnf(matrix-19, plain, ( property(skolem3) )).
% 0.12/0.36 cnf(matrix-20, plain, ( object(skolem4) )).
% 0.12/0.36 cnf(matrix-21, plain, ( exemplifies_property(skolem3, skolem4) )).
% 0.12/0.36 cnf(matrix-22, plain, ( ~object(_u7) | ~exemplifies_property(skolem3, _u7) | ( _u7 = skolem4) )).
% 0.12/0.36 cnf(matrix-23, plain, ( ~object(_u9) | ~is_the(_u9, skolem3) )).
% 0.12/0.36
% 0.12/0.36 % Proof stack:
% 0.12/0.36 cnf(proof-stack, plain,
% 0.12/0.36 proof_stack(
% 0.12/0.36 start(23),
% 0.12/0.36 left_branch(0, 20, 0, 2),
% 0.12/0.36 right_branch(2),
% 0.12/0.36 left_branch(0, 15, 3, 3),
% 0.12/0.36 left_branch(0, 19, 0, 4),
% 0.12/0.36 right_branch(4),
% 0.12/0.36 left_branch(0, 21, 0, 5),
% 0.12/0.36 right_branch(5),
% 0.12/0.36 lemmata(0, 2),
% 0.12/0.36 lemmata(0, 0),
% 0.12/0.36 left_branch(0, 22, 2, 8),
% 0.12/0.36 left_branch(0, 13, 7, 9),
% 0.12/0.36 lemmata(0, 1),
% 0.12/0.36 lemmata(0, 2),
% 0.12/0.36 lemmata(0, 2),
% 0.12/0.36 lemmata(0, 0),
% 0.12/0.36 reduction(0, 0),
% 0.12/0.36 lemmata(0, 0),
% 0.12/0.36 lemmata(0, 1),
% 0.12/0.36 right_branch(9),
% 0.12/0.36 left_branch(0, 14, 7, 10),
% 0.12/0.36 lemmata(0, 1),
% 0.12/0.36 lemmata(0, 2),
% 0.12/0.36 lemmata(0, 2),
% 0.12/0.36 lemmata(0, 0),
% 0.12/0.36 reduction(0, 0),
% 0.12/0.36 lemmata(0, 0),
% 0.12/0.36 lemmata(0, 1),
% 0.12/0.36 right_branch(10),
% 0.12/0.36 right_branch(8),
% 0.12/0.36 lemmata(0, 0),
% 0.12/0.36 lemmata(0, 1),
% 0.12/0.36 right_branch(3)
% 0.12/0.36 )).
% 0.12/0.36 % SZS output end Proof for theBenchmark
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