TSTP Solution File: KRS140+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n031.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 14:18:10 EDT 2024
% Result : Theorem 52.39s 52.61s
% Output : Proof 52.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n031.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 03:04:48 EDT 2024
% 0.12/0.33 % CPUTime :
% 52.39/52.61 % SZS status Theorem for theBenchmark
% 52.39/52.61 % SZS output start Proof for theBenchmark
% 52.39/52.61
% 52.39/52.61 % Formula: cowlNothing_substitution_1 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cowlNothing(_u1) | cowlNothing(_u0) )).
% 52.39/52.61
% 52.39/52.61 % Formula: cowlThing_substitution_1 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(cowlThing_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cowlThing(_u3) | cowlThing(_u2) )).
% 52.39/52.61
% 52.39/52.61 % Formula: rsymProp_substitution_1 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(rsymProp_substitution_1-1, axiom, ( ( _u6 != _u5) | ~rsymProp(_u6, _u4) | rsymProp(_u5, _u4) )).
% 52.39/52.61
% 52.39/52.61 % Formula: rsymProp_substitution_2 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(rsymProp_substitution_2-1, axiom, ( ( _u9 != _u8) | ~rsymProp(_u7, _u9) | rsymProp(_u7, _u8) )).
% 52.39/52.61
% 52.39/52.61 % Formula: xsd_integer_substitution_1 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u11 != _u10) | ~xsd_integer(_u11) | xsd_integer(_u10) )).
% 52.39/52.61
% 52.39/52.61 % Formula: xsd_string_substitution_1 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(xsd_string_substitution_1-1, axiom, ( ( _u13 != _u12) | ~xsd_string(_u13) | xsd_string(_u12) )).
% 52.39/52.61
% 52.39/52.61 % Formula: axiom_0 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(axiom_0-1, axiom, ( cowlThing(_u15) )).
% 52.39/52.61 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u16) )).
% 52.39/52.61
% 52.39/52.61 % Formula: axiom_1 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(axiom_1-1, axiom, ( ~xsd_string(_u18) | ~xsd_integer(_u18) )).
% 52.39/52.61 cnf(axiom_1-2, axiom, ( xsd_integer(_u19) | xsd_string(_u19) )).
% 52.39/52.61
% 52.39/52.61 % Formula: axiom_2 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(axiom_2-1, axiom, ( ~rsymProp(_u21, _u20) | ( _u20 = ia) | ( _u20 = ib) )).
% 52.39/52.61
% 52.39/52.61 % Formula: axiom_3 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(axiom_3-1, axiom, ( ~rsymProp(_u23, _u22) | rsymProp(_u22, _u23) )).
% 52.39/52.61
% 52.39/52.61 % Formula: axiom_4 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(axiom_4-1, axiom, ( cowlThing(ia) )).
% 52.39/52.61
% 52.39/52.61 % Formula: axiom_5 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(axiom_5-1, axiom, ( rsymProp(ia, ia) )).
% 52.39/52.61
% 52.39/52.61 % Formula: axiom_6 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(axiom_6-1, axiom, ( cowlThing(ib) )).
% 52.39/52.61
% 52.39/52.61 % Formula: axiom_7 ( axiom ) converted to clauses:
% 52.39/52.61 cnf(axiom_7-1, axiom, ( rsymProp(ib, ib) )).
% 52.39/52.61
% 52.39/52.61 % Formula: the_axiom ( conjecture ) (definitionally) converted to clauses:
% 52.39/52.61 cnf(the_axiom-1, negated_conjecture, ( ~cowlThing(skolem1) | cowlNothing(skolem1) | ~_def0 | ~_def1 | ~_def2 | ~rsymProp(ia, _u29) | ~cowlThing(_u29) )).
% 52.39/52.61 cnf(the_axiom-2, negated_conjecture, ( _def0 | xsd_string(skolem2) )).
% 52.39/52.61 cnf(the_axiom-3, negated_conjecture, ( _def0 | xsd_integer(skolem2) )).
% 52.39/52.61 cnf(the_axiom-4, negated_conjecture, ( _def1 | ~xsd_integer(skolem2) )).
% 52.39/52.61 cnf(the_axiom-5, negated_conjecture, ( _def1 | ~xsd_string(skolem2) )).
% 52.39/52.61 cnf(the_axiom-6, negated_conjecture, ( _def2 | rsymProp(skolem3, skolem4) )).
% 52.39/52.61 cnf(the_axiom-7, negated_conjecture, ( _def2 | rsymProp(skolem4, skolem5) )).
% 52.39/52.61 cnf(the_axiom-8, negated_conjecture, ( _def2 | ~rsymProp(skolem3, skolem5) )).
% 52.39/52.61
% 52.39/52.61 % Problem matrix:
% 52.39/52.61 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 52.39/52.61 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 52.39/52.61 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 52.39/52.61 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 52.39/52.61 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 52.39/52.61 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rsymProp(__eqx_0, __eqx_1) | rsymProp(__eqy_0, __eqy_1) )).
% 52.39/52.61 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 52.39/52.61 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 52.39/52.61 cnf(matrix-8, plain, ( ( _u1 != _u0) | ~cowlNothing(_u1) | cowlNothing(_u0) )).
% 52.39/52.61 cnf(matrix-9, plain, ( ( _u3 != _u2) | ~cowlThing(_u3) | cowlThing(_u2) )).
% 52.39/52.61 cnf(matrix-10, plain, ( ( _u6 != _u5) | ~rsymProp(_u6, _u4) | rsymProp(_u5, _u4) )).
% 52.39/52.61 cnf(matrix-11, plain, ( ( _u9 != _u8) | ~rsymProp(_u7, _u9) | rsymProp(_u7, _u8) )).
% 52.39/52.61 cnf(matrix-12, plain, ( ( _u11 != _u10) | ~xsd_integer(_u11) | xsd_integer(_u10) )).
% 52.39/52.61 cnf(matrix-13, plain, ( ( _u13 != _u12) | ~xsd_string(_u13) | xsd_string(_u12) )).
% 52.39/52.61 cnf(matrix-14, plain, ( cowlThing(_u15) )).
% 52.39/52.61 cnf(matrix-15, plain, ( ~cowlNothing(_u16) )).
% 52.39/52.61 cnf(matrix-16, plain, ( ~xsd_string(_u18) | ~xsd_integer(_u18) )).
% 52.39/52.61 cnf(matrix-17, plain, ( xsd_integer(_u19) | xsd_string(_u19) )).
% 52.39/52.61 cnf(matrix-18, plain, ( ~rsymProp(_u21, _u20) | ( _u20 = ia) | ( _u20 = ib) )).
% 52.39/52.61 cnf(matrix-19, plain, ( ~rsymProp(_u23, _u22) | rsymProp(_u22, _u23) )).
% 52.39/52.61 cnf(matrix-20, plain, ( cowlThing(ia) )).
% 52.39/52.61 cnf(matrix-21, plain, ( rsymProp(ia, ia) )).
% 52.39/52.61 cnf(matrix-22, plain, ( cowlThing(ib) )).
% 52.39/52.61 cnf(matrix-23, plain, ( rsymProp(ib, ib) )).
% 52.39/52.61 cnf(matrix-24, plain, ( ~cowlThing(skolem1) | cowlNothing(skolem1) | ~_def0 | ~_def1 | ~_def2 | ~rsymProp(ia, _u29) | ~cowlThing(_u29) )).
% 52.39/52.61 cnf(matrix-25, plain, ( _def0 | xsd_string(skolem2) )).
% 52.39/52.61 cnf(matrix-26, plain, ( _def0 | xsd_integer(skolem2) )).
% 52.39/52.61 cnf(matrix-27, plain, ( _def1 | ~xsd_integer(skolem2) )).
% 52.39/52.61 cnf(matrix-28, plain, ( _def1 | ~xsd_string(skolem2) )).
% 52.39/52.61 cnf(matrix-29, plain, ( _def2 | rsymProp(skolem3, skolem4) )).
% 52.39/52.61 cnf(matrix-30, plain, ( _def2 | rsymProp(skolem4, skolem5) )).
% 52.39/52.61 cnf(matrix-31, plain, ( _def2 | ~rsymProp(skolem3, skolem5) )).
% 52.39/52.61
% 52.39/52.61 % Proof stack:
% 52.39/52.61 cnf(proof-stack, plain,
% 52.39/52.61 proof_stack(
% 52.39/52.61 start(30),
% 52.39/52.61 left_branch(0, 24, 4, 2),
% 52.39/52.61 left_branch(0, 14, 0, 3),
% 52.39/52.61 right_branch(3),
% 52.39/52.61 left_branch(0, 21, 0, 4),
% 52.39/52.61 right_branch(4),
% 52.39/52.61 left_branch(0, 20, 0, 5),
% 52.39/52.61 right_branch(5),
% 52.39/52.61 left_branch(0, 28, 0, 6),
% 52.39/52.61 left_branch(0, 17, 1, 7),
% 52.39/52.61 left_branch(0, 27, 1, 8),
% 52.39/52.61 reduction(0, 1),
% 52.39/52.61 right_branch(8),
% 52.39/52.61 right_branch(7),
% 52.39/52.61 right_branch(6),
% 52.39/52.61 left_branch(0, 26, 0, 7),
% 52.39/52.61 left_branch(0, 16, 1, 8),
% 52.39/52.61 left_branch(0, 25, 1, 9),
% 52.39/52.61 reduction(0, 1),
% 52.39/52.61 right_branch(9),
% 52.39/52.61 right_branch(8),
% 52.39/52.61 right_branch(7),
% 52.39/52.61 left_branch(0, 15, 0, 8),
% 52.39/52.61 right_branch(8),
% 52.39/52.61 right_branch(2),
% 52.39/52.61 left_branch(0, 18, 0, 3),
% 52.39/52.61 left_branch(0, 5, 0, 4),
% 52.39/52.61 left_branch(0, 19, 0, 5),
% 52.39/52.61 left_branch(0, 18, 0, 6),
% 52.39/52.61 left_branch(0, 2, 0, 7),
% 52.39/52.61 left_branch(0, 11, 0, 8),
% 52.39/52.61 left_branch(0, 31, 1, 9),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(9),
% 52.39/52.61 reduction(0, 3),
% 52.39/52.61 right_branch(8),
% 52.39/52.61 left_branch(0, 1, 1, 9),
% 52.39/52.61 reduction(0, 1),
% 52.39/52.61 right_branch(9),
% 52.39/52.61 right_branch(7),
% 52.39/52.61 left_branch(0, 2, 1, 8),
% 52.39/52.61 reduction(0, 1),
% 52.39/52.61 left_branch(0, 11, 0, 10),
% 52.39/52.61 left_branch(0, 11, 1, 11),
% 52.39/52.61 left_branch(0, 1, 1, 12),
% 52.39/52.61 reduction(0, 5),
% 52.39/52.61 right_branch(12),
% 52.39/52.61 left_branch(0, 31, 1, 13),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(13),
% 52.39/52.61 right_branch(11),
% 52.39/52.61 left_branch(0, 11, 2, 12),
% 52.39/52.61 left_branch(0, 1, 1, 13),
% 52.39/52.61 reduction(0, 5),
% 52.39/52.61 right_branch(13),
% 52.39/52.61 left_branch(0, 5, 3, 14),
% 52.39/52.61 left_branch(0, 0, 0, 15),
% 52.39/52.61 right_branch(15),
% 52.39/52.61 reduction(0, 3),
% 52.39/52.61 reduction(0, 4),
% 52.39/52.61 right_branch(14),
% 52.39/52.61 right_branch(12),
% 52.39/52.61 right_branch(10),
% 52.39/52.61 right_branch(8),
% 52.39/52.61 right_branch(6),
% 52.39/52.61 right_branch(5),
% 52.39/52.61 left_branch(0, 19, 1, 6),
% 52.39/52.61 reduction(0, 0),
% 52.39/52.61 right_branch(6),
% 52.39/52.61 left_branch(0, 2, 2, 7),
% 52.39/52.61 left_branch(0, 18, 1, 8),
% 52.39/52.61 left_branch(0, 29, 1, 9),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(9),
% 52.39/52.61 left_branch(0, 1, 0, 10),
% 52.39/52.61 left_branch(0, 2, 0, 11),
% 52.39/52.61 left_branch(0, 11, 0, 12),
% 52.39/52.61 left_branch(0, 31, 1, 13),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(13),
% 52.39/52.61 left_branch(0, 11, 2, 14),
% 52.39/52.61 reduction(0, 4),
% 52.39/52.61 lemmata(0, 3),
% 52.39/52.61 right_branch(14),
% 52.39/52.61 right_branch(12),
% 52.39/52.61 left_branch(0, 2, 2, 13),
% 52.39/52.61 reduction(0, 4),
% 52.39/52.61 left_branch(0, 1, 1, 15),
% 52.39/52.61 reduction(0, 1),
% 52.39/52.61 right_branch(15),
% 52.39/52.61 right_branch(13),
% 52.39/52.61 right_branch(11),
% 52.39/52.61 right_branch(10),
% 52.39/52.61 right_branch(8),
% 52.39/52.61 left_branch(0, 1, 1, 9),
% 52.39/52.61 left_branch(0, 18, 1, 10),
% 52.39/52.61 left_branch(0, 19, 1, 11),
% 52.39/52.61 left_branch(0, 29, 1, 12),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(12),
% 52.39/52.61 right_branch(11),
% 52.39/52.61 left_branch(0, 11, 0, 12),
% 52.39/52.61 left_branch(0, 11, 1, 13),
% 52.39/52.61 left_branch(0, 1, 1, 14),
% 52.39/52.61 reduction(0, 5),
% 52.39/52.61 right_branch(14),
% 52.39/52.61 left_branch(0, 10, 1, 15),
% 52.39/52.61 reduction(0, 5),
% 52.39/52.61 lemmata(0, 1),
% 52.39/52.61 right_branch(15),
% 52.39/52.61 right_branch(13),
% 52.39/52.61 left_branch(0, 5, 3, 14),
% 52.39/52.61 left_branch(0, 1, 1, 15),
% 52.39/52.61 reduction(0, 5),
% 52.39/52.61 right_branch(15),
% 52.39/52.61 left_branch(0, 23, 0, 16),
% 52.39/52.61 right_branch(16),
% 52.39/52.61 lemmata(0, 6),
% 52.39/52.61 right_branch(14),
% 52.39/52.61 right_branch(12),
% 52.39/52.61 right_branch(10),
% 52.39/52.61 right_branch(9),
% 52.39/52.61 right_branch(7),
% 52.39/52.61 right_branch(4),
% 52.39/52.61 left_branch(0, 5, 0, 5),
% 52.39/52.61 left_branch(0, 19, 0, 6),
% 52.39/52.61 left_branch(0, 18, 0, 7),
% 52.39/52.61 left_branch(0, 2, 1, 8),
% 52.39/52.61 reduction(0, 1),
% 52.39/52.61 lemmata(0, 1),
% 52.39/52.61 right_branch(8),
% 52.39/52.61 left_branch(0, 2, 0, 9),
% 52.39/52.61 left_branch(0, 11, 0, 10),
% 52.39/52.61 left_branch(0, 31, 1, 11),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(11),
% 52.39/52.61 reduction(0, 3),
% 52.39/52.61 right_branch(10),
% 52.39/52.61 left_branch(0, 1, 1, 11),
% 52.39/52.61 reduction(0, 1),
% 52.39/52.61 right_branch(11),
% 52.39/52.61 right_branch(9),
% 52.39/52.61 right_branch(7),
% 52.39/52.61 right_branch(6),
% 52.39/52.61 left_branch(0, 19, 1, 7),
% 52.39/52.61 reduction(0, 0),
% 52.39/52.61 right_branch(7),
% 52.39/52.61 left_branch(0, 2, 2, 8),
% 52.39/52.61 left_branch(0, 18, 2, 9),
% 52.39/52.61 left_branch(0, 29, 1, 10),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(10),
% 52.39/52.61 left_branch(0, 1, 0, 11),
% 52.39/52.61 left_branch(0, 2, 0, 12),
% 52.39/52.61 left_branch(0, 11, 0, 13),
% 52.39/52.61 left_branch(0, 31, 1, 14),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(14),
% 52.39/52.61 left_branch(0, 11, 2, 15),
% 52.39/52.61 reduction(0, 4),
% 52.39/52.61 lemmata(0, 4),
% 52.39/52.61 right_branch(15),
% 52.39/52.61 right_branch(13),
% 52.39/52.61 left_branch(0, 2, 2, 14),
% 52.39/52.61 reduction(0, 4),
% 52.39/52.61 left_branch(0, 1, 1, 16),
% 52.39/52.61 reduction(0, 1),
% 52.39/52.61 right_branch(16),
% 52.39/52.61 right_branch(14),
% 52.39/52.61 right_branch(12),
% 52.39/52.61 right_branch(11),
% 52.39/52.61 right_branch(9),
% 52.39/52.61 left_branch(0, 1, 1, 10),
% 52.39/52.61 left_branch(0, 18, 2, 11),
% 52.39/52.61 left_branch(0, 19, 1, 12),
% 52.39/52.61 left_branch(0, 29, 1, 13),
% 52.39/52.61 lemmata(0, 0),
% 52.39/52.61 right_branch(13),
% 52.39/52.61 right_branch(12),
% 52.39/52.61 left_branch(0, 11, 0, 13),
% 52.39/52.61 left_branch(0, 11, 1, 14),
% 52.39/52.61 left_branch(0, 1, 1, 15),
% 52.39/52.61 reduction(0, 5),
% 52.39/52.61 right_branch(15),
% 52.39/52.61 left_branch(0, 10, 1, 16),
% 52.39/52.61 reduction(0, 5),
% 52.39/52.61 lemmata(0, 2),
% 52.39/52.61 right_branch(16),
% 52.39/52.61 right_branch(14),
% 52.39/52.61 left_branch(0, 5, 3, 15),
% 52.39/52.61 left_branch(0, 1, 1, 16),
% 52.39/52.61 reduction(0, 5),
% 52.39/52.61 right_branch(16),
% 52.39/52.61 left_branch(0, 21, 0, 17),
% 52.39/52.61 right_branch(17),
% 52.39/52.61 lemmata(0, 7),
% 52.39/52.61 right_branch(15),
% 52.39/52.61 right_branch(13),
% 52.39/52.61 right_branch(11),
% 52.39/52.61 right_branch(10),
% 52.39/52.61 right_branch(8),
% 52.39/52.61 right_branch(5),
% 52.39/52.61 right_branch(3)
% 52.39/52.61 )).
% 52.39/52.61 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------