TSTP Solution File: SWB031+2 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n003.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 14:36:15 EDT 2024

% Result   : Unsatisfiable 0.64s 0.85s
% Output   : Proof 0.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n003.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu Mar 21 00:34:19 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.64/0.85  % SZS status Unsatisfiable for theBenchmark
% 0.64/0.85  % SZS output start Proof for theBenchmark
% 0.64/0.85  
% 0.64/0.85  % Formula: simple_ir ( axiom ) (definitionally) converted to clauses:
% 0.64/0.85  cnf(simple_ir-1, axiom, ( ir(_u0) )).
% 0.64/0.85  
% 0.64/0.85  % Formula: owl_class_thing_ext ( axiom ) (definitionally) converted to clauses:
% 0.64/0.85  cnf(owl_class_thing_ext-1, axiom, ( ~icext(uri_owl_Thing, _u1) | ir(_u1) )).
% 0.64/0.85  cnf(owl_class_thing_ext-2, axiom, ( ~ir(_u1) | icext(uri_owl_Thing, _u1) )).
% 0.64/0.85  
% 0.64/0.85  % Formula: owl_class_nothing_ext ( axiom ) (definitionally) converted to clauses:
% 0.64/0.85  cnf(owl_class_nothing_ext-1, axiom, ( ~icext(uri_owl_Nothing, _u2) )).
% 0.64/0.85  
% 0.64/0.85  % Formula: owl_enum_class_001 ( axiom ) (definitionally) converted to clauses:
% 0.64/0.85  cnf(owl_enum_class_001-1, axiom, ( ~iext(uri_rdf_first, _u6, _u5) | ~iext(uri_rdf_rest, _u6, uri_rdf_nil) | ~_def3(_u5, _u6, _u3, _u7) )).
% 0.64/0.85  cnf(owl_enum_class_001-2, axiom, ( _def3(_u5, _u6, _u3, _u7) | ~iext(uri_owl_oneOf, _u7, _u6) | ~_def0(_u5, _u3, _u7) )).
% 0.64/0.85  cnf(owl_enum_class_001-3, axiom, ( _def3(_u5, _u6, _u3, _u7) | ~ic(_u7) | ~_def1(_u5, _u6, _u7) | ~_def2(_u5, _u6, _u7) | iext(uri_owl_oneOf, _u7, _u6) )).
% 0.64/0.85  cnf(owl_enum_class_001-4, axiom, ( _def0(_u5, _u3, _u7) | ic(_u7) )).
% 0.64/0.85  cnf(owl_enum_class_001-5, axiom, ( _def0(_u5, _u3, _u7) | ~icext(_u7, _u3) | ( _u3 = _u5) )).
% 0.64/0.85  cnf(owl_enum_class_001-6, axiom, ( _def0(_u5, _u3, _u7) | ( _u3 != _u5) | icext(_u7, _u3) )).
% 0.64/0.85  cnf(owl_enum_class_001-7, axiom, ( _def1(_u5, _u6, _u7) | icext(_u7, skolem1(_u7, _u6, _u5)) )).
% 0.64/0.85  cnf(owl_enum_class_001-8, axiom, ( _def1(_u5, _u6, _u7) | ( skolem1(_u7, _u6, _u5) != _u5) )).
% 0.64/0.85  cnf(owl_enum_class_001-9, axiom, ( _def2(_u5, _u6, _u7) | ( skolem1(_u7, _u6, _u5) = _u5) )).
% 0.64/0.85  cnf(owl_enum_class_001-10, axiom, ( _def2(_u5, _u6, _u7) | ~icext(_u7, skolem1(_u7, _u6, _u5)) )).
% 0.64/0.85  
% 0.64/0.85  % Formula: owl_eqdis_equivalentclass ( axiom ) (definitionally) converted to clauses:
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-1, axiom, ( ~iext(uri_owl_equivalentClass, _u11, _u10) | ~_def4(_u8, _u11, _u10) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-2, axiom, ( ~ic(_u11) | ~ic(_u10) | ~_def5(_u11, _u10) | ~_def6(_u11, _u10) | iext(uri_owl_equivalentClass, _u11, _u10) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-3, axiom, ( _def4(_u8, _u11, _u10) | ic(_u11) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-4, axiom, ( _def4(_u8, _u11, _u10) | ic(_u10) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-5, axiom, ( _def4(_u8, _u11, _u10) | ~icext(_u11, _u8) | icext(_u10, _u8) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-6, axiom, ( _def4(_u8, _u11, _u10) | ~icext(_u10, _u8) | icext(_u11, _u8) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-7, axiom, ( _def5(_u11, _u10) | icext(_u11, skolem2(_u11, _u10)) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-8, axiom, ( _def5(_u11, _u10) | ~icext(_u10, skolem2(_u11, _u10)) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-9, axiom, ( _def6(_u11, _u10) | icext(_u10, skolem2(_u11, _u10)) )).
% 0.64/0.85  cnf(owl_eqdis_equivalentclass-10, axiom, ( _def6(_u11, _u10) | ~icext(_u11, skolem2(_u11, _u10)) )).
% 0.64/0.85  
% 0.64/0.85  % Formula: testcase_premise_fullish_031_Large_Universe ( axiom ) (definitionally) converted to clauses:
% 0.64/0.85  cnf(testcase_premise_fullish_031_Large_Universe-1, axiom, ( iext(uri_owl_equivalentClass, uri_owl_Thing, skolem3) )).
% 0.64/0.85  cnf(testcase_premise_fullish_031_Large_Universe-2, axiom, ( iext(uri_owl_oneOf, skolem3, skolem4) )).
% 0.64/0.85  cnf(testcase_premise_fullish_031_Large_Universe-3, axiom, ( iext(uri_rdf_first, skolem4, uri_ex_w) )).
% 0.64/0.85  cnf(testcase_premise_fullish_031_Large_Universe-4, axiom, ( iext(uri_rdf_rest, skolem4, uri_rdf_nil) )).
% 0.64/0.85  
% 0.64/0.85  % Problem matrix:
% 0.64/0.85  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.64/0.85  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.64/0.85  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.64/0.85  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)) )).
% 0.64/0.85  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.64/0.85  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~ir(__eqx_0) | ir(__eqy_0) )).
% 0.64/0.85  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~icext(__eqx_0, __eqx_1) | icext(__eqy_0, __eqy_1) )).
% 0.64/0.85  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~iext(__eqx_0, __eqx_1, __eqx_2) | iext(__eqy_0, __eqy_1, __eqy_2) )).
% 0.64/0.85  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~ic(__eqx_0) | ic(__eqy_0) )).
% 0.64/0.85  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def0(__eqx_0, __eqx_1, __eqx_2) | _def0(__eqy_0, __eqy_1, __eqy_2) )).
% 0.64/0.85  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def1(__eqx_0, __eqx_1, __eqx_2) | _def1(__eqy_0, __eqy_1, __eqy_2) )).
% 0.64/0.85  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def2(__eqx_0, __eqx_1, __eqx_2) | _def2(__eqy_0, __eqy_1, __eqy_2) )).
% 0.64/0.85  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~_def3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | _def3(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 0.64/0.85  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def4(__eqx_0, __eqx_1, __eqx_2) | _def4(__eqy_0, __eqy_1, __eqy_2) )).
% 0.64/0.85  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def5(__eqx_0, __eqx_1) | _def5(__eqy_0, __eqy_1) )).
% 0.64/0.85  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def6(__eqx_0, __eqx_1) | _def6(__eqy_0, __eqy_1) )).
% 0.64/0.85  cnf(matrix-16, plain, ( ir(_u0) )).
% 0.64/0.85  cnf(matrix-17, plain, ( ~icext(uri_owl_Thing, _u1) | ir(_u1) )).
% 0.64/0.85  cnf(matrix-18, plain, ( ~ir(_u1) | icext(uri_owl_Thing, _u1) )).
% 0.64/0.85  cnf(matrix-19, plain, ( ~icext(uri_owl_Nothing, _u2) )).
% 0.64/0.85  cnf(matrix-20, plain, ( ~iext(uri_rdf_first, _u6, _u5) | ~iext(uri_rdf_rest, _u6, uri_rdf_nil) | ~_def3(_u5, _u6, _u3, _u7) )).
% 0.64/0.85  cnf(matrix-21, plain, ( _def3(_u5, _u6, _u3, _u7) | ~iext(uri_owl_oneOf, _u7, _u6) | ~_def0(_u5, _u3, _u7) )).
% 0.64/0.85  cnf(matrix-22, plain, ( _def3(_u5, _u6, _u3, _u7) | ~ic(_u7) | ~_def1(_u5, _u6, _u7) | ~_def2(_u5, _u6, _u7) | iext(uri_owl_oneOf, _u7, _u6) )).
% 0.64/0.85  cnf(matrix-23, plain, ( _def0(_u5, _u3, _u7) | ic(_u7) )).
% 0.64/0.85  cnf(matrix-24, plain, ( _def0(_u5, _u3, _u7) | ~icext(_u7, _u3) | ( _u3 = _u5) )).
% 0.64/0.85  cnf(matrix-25, plain, ( _def0(_u5, _u3, _u7) | ( _u3 != _u5) | icext(_u7, _u3) )).
% 0.64/0.85  cnf(matrix-26, plain, ( _def1(_u5, _u6, _u7) | icext(_u7, skolem1(_u7, _u6, _u5)) )).
% 0.64/0.85  cnf(matrix-27, plain, ( _def1(_u5, _u6, _u7) | ( skolem1(_u7, _u6, _u5) != _u5) )).
% 0.64/0.85  cnf(matrix-28, plain, ( _def2(_u5, _u6, _u7) | ( skolem1(_u7, _u6, _u5) = _u5) )).
% 0.64/0.85  cnf(matrix-29, plain, ( _def2(_u5, _u6, _u7) | ~icext(_u7, skolem1(_u7, _u6, _u5)) )).
% 0.64/0.85  cnf(matrix-30, plain, ( ~iext(uri_owl_equivalentClass, _u11, _u10) | ~_def4(_u8, _u11, _u10) )).
% 0.64/0.85  cnf(matrix-31, plain, ( ~ic(_u11) | ~ic(_u10) | ~_def5(_u11, _u10) | ~_def6(_u11, _u10) | iext(uri_owl_equivalentClass, _u11, _u10) )).
% 0.64/0.85  cnf(matrix-32, plain, ( _def4(_u8, _u11, _u10) | ic(_u11) )).
% 0.64/0.85  cnf(matrix-33, plain, ( _def4(_u8, _u11, _u10) | ic(_u10) )).
% 0.64/0.85  cnf(matrix-34, plain, ( _def4(_u8, _u11, _u10) | ~icext(_u11, _u8) | icext(_u10, _u8) )).
% 0.64/0.85  cnf(matrix-35, plain, ( _def4(_u8, _u11, _u10) | ~icext(_u10, _u8) | icext(_u11, _u8) )).
% 0.64/0.85  cnf(matrix-36, plain, ( _def5(_u11, _u10) | icext(_u11, skolem2(_u11, _u10)) )).
% 0.64/0.85  cnf(matrix-37, plain, ( _def5(_u11, _u10) | ~icext(_u10, skolem2(_u11, _u10)) )).
% 0.64/0.85  cnf(matrix-38, plain, ( _def6(_u11, _u10) | icext(_u10, skolem2(_u11, _u10)) )).
% 0.64/0.85  cnf(matrix-39, plain, ( _def6(_u11, _u10) | ~icext(_u11, skolem2(_u11, _u10)) )).
% 0.64/0.85  cnf(matrix-40, plain, ( iext(uri_owl_equivalentClass, uri_owl_Thing, skolem3) )).
% 0.64/0.85  cnf(matrix-41, plain, ( iext(uri_owl_oneOf, skolem3, skolem4) )).
% 0.64/0.85  cnf(matrix-42, plain, ( iext(uri_rdf_first, skolem4, uri_ex_w) )).
% 0.64/0.85  cnf(matrix-43, plain, ( iext(uri_rdf_rest, skolem4, uri_rdf_nil) )).
% 0.64/0.85  
% 0.64/0.85  % Proof stack:
% 0.64/0.85  cnf(proof-stack, plain, 
% 0.64/0.85  proof_stack(
% 0.64/0.85  start(19), 
% 0.64/0.85  left_branch(0, 6, 3, 2), 
% 0.64/0.85  left_branch(0, 1, 1, 3), 
% 0.64/0.85  left_branch(0, 24, 2, 4), 
% 0.64/0.85  left_branch(0, 21, 2, 5), 
% 0.64/0.85  left_branch(0, 20, 2, 6), 
% 0.64/0.85  left_branch(0, 42, 0, 7), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  left_branch(0, 43, 0, 8), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  right_branch(6), 
% 0.64/0.85  left_branch(0, 41, 0, 7), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  right_branch(5), 
% 0.64/0.85  left_branch(0, 34, 2, 6), 
% 0.64/0.85  left_branch(0, 30, 1, 7), 
% 0.64/0.85  left_branch(0, 40, 0, 8), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  left_branch(0, 18, 1, 8), 
% 0.64/0.85  left_branch(0, 16, 0, 9), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  right_branch(6), 
% 0.64/0.85  right_branch(4), 
% 0.64/0.85  right_branch(3), 
% 0.64/0.85  left_branch(0, 6, 3, 4), 
% 0.64/0.85  left_branch(0, 24, 2, 5), 
% 0.64/0.85  left_branch(0, 21, 2, 6), 
% 0.64/0.85  left_branch(0, 20, 2, 7), 
% 0.64/0.85  left_branch(0, 42, 0, 8), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  left_branch(0, 43, 0, 9), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  left_branch(0, 41, 0, 8), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  right_branch(6), 
% 0.64/0.85  left_branch(0, 34, 2, 7), 
% 0.64/0.85  left_branch(0, 30, 1, 8), 
% 0.64/0.85  left_branch(0, 40, 0, 9), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  left_branch(0, 18, 1, 9), 
% 0.64/0.85  left_branch(0, 16, 0, 10), 
% 0.64/0.85  right_branch(10), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  right_branch(5), 
% 0.64/0.85  left_branch(0, 34, 2, 6), 
% 0.64/0.85  left_branch(0, 30, 1, 7), 
% 0.64/0.85  left_branch(0, 40, 0, 8), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  left_branch(0, 18, 1, 8), 
% 0.64/0.85  left_branch(0, 16, 0, 9), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  right_branch(6), 
% 0.64/0.85  left_branch(0, 24, 2, 7), 
% 0.64/0.85  left_branch(0, 21, 2, 8), 
% 0.64/0.85  left_branch(0, 20, 2, 9), 
% 0.64/0.85  left_branch(0, 42, 0, 10), 
% 0.64/0.85  right_branch(10), 
% 0.64/0.85  left_branch(0, 43, 0, 11), 
% 0.64/0.85  right_branch(11), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  left_branch(0, 41, 0, 10), 
% 0.64/0.85  right_branch(10), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  lemmata(0, 2), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  right_branch(4), 
% 0.64/0.85  left_branch(0, 24, 2, 5), 
% 0.64/0.85  left_branch(0, 21, 2, 6), 
% 0.64/0.85  left_branch(0, 20, 2, 7), 
% 0.64/0.85  left_branch(0, 42, 0, 8), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  left_branch(0, 43, 0, 9), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  left_branch(0, 41, 0, 8), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  right_branch(6), 
% 0.64/0.85  left_branch(0, 34, 2, 7), 
% 0.64/0.85  left_branch(0, 30, 1, 8), 
% 0.64/0.85  left_branch(0, 40, 0, 9), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  right_branch(8), 
% 0.64/0.85  left_branch(0, 18, 1, 9), 
% 0.64/0.85  left_branch(0, 16, 0, 10), 
% 0.64/0.85  right_branch(10), 
% 0.64/0.85  right_branch(9), 
% 0.64/0.85  right_branch(7), 
% 0.64/0.85  right_branch(5), 
% 0.64/0.85  right_branch(2)
% 0.64/0.85  )).
% 0.64/0.85  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------