TSTP Solution File: KRS143+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS143+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 : n018.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 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS143+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n018.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 02:35:29 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% 0.13/0.36
% 0.13/0.36 % Formula: cc_substitution_1 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(cc_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cc(_u1) | cc(_u0) )).
% 0.13/0.36
% 0.13/0.36 % Formula: cowlNothing_substitution_1 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 0.13/0.36
% 0.13/0.36 % Formula: cowlThing_substitution_1 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(cowlThing_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 0.13/0.36
% 0.13/0.36 % Formula: rp_substitution_1 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(rp_substitution_1-1, axiom, ( ( _u8 != _u7) | ~rp(_u8, _u6) | rp(_u7, _u6) )).
% 0.13/0.36
% 0.13/0.36 % Formula: rp_substitution_2 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(rp_substitution_2-1, axiom, ( ( _u11 != _u10) | ~rp(_u9, _u11) | rp(_u9, _u10) )).
% 0.13/0.36
% 0.13/0.36 % Formula: xsd_integer_substitution_1 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u13 != _u12) | ~xsd_integer(_u13) | xsd_integer(_u12) )).
% 0.13/0.36
% 0.13/0.36 % Formula: xsd_string_substitution_1 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(xsd_string_substitution_1-1, axiom, ( ( _u15 != _u14) | ~xsd_string(_u15) | xsd_string(_u14) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_0 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_0-1, axiom, ( cowlThing(_u17) )).
% 0.13/0.36 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u18) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_1 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_1-1, axiom, ( ~xsd_string(_u20) | ~xsd_integer(_u20) )).
% 0.13/0.36 cnf(axiom_1-2, axiom, ( xsd_integer(_u21) | xsd_string(_u21) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_2 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_2-1, axiom, ( ~cc(_u23) | rp(_u23, skolem1(_u23)) )).
% 0.13/0.36
% 0.13/0.36 % Formula: axiom_3 ( axiom ) converted to clauses:
% 0.13/0.36 cnf(axiom_3-1, axiom, ( ~cc(_u26) | ~rp(_u26, _u25) | ~rp(_u26, _u24) | ( _u25 = _u24) )).
% 0.13/0.36
% 0.13/0.36 % Formula: the_axiom ( conjecture ) (definitionally) converted to clauses:
% 0.13/0.36 cnf(the_axiom-1, negated_conjecture, ( ~cowlThing(skolem2) | cowlNothing(skolem2) | ~_def0 | ~_def1 | ~_def3(_u29) )).
% 0.13/0.36 cnf(the_axiom-2, negated_conjecture, ( _def0 | xsd_string(skolem3) )).
% 0.13/0.36 cnf(the_axiom-3, negated_conjecture, ( _def0 | xsd_integer(skolem3) )).
% 0.13/0.36 cnf(the_axiom-4, negated_conjecture, ( _def1 | ~xsd_integer(skolem3) )).
% 0.13/0.36 cnf(the_axiom-5, negated_conjecture, ( _def1 | ~xsd_string(skolem3) )).
% 0.13/0.36 cnf(the_axiom-6, negated_conjecture, ( _def3(_u29) | cc(skolem4) )).
% 0.13/0.36 cnf(the_axiom-7, negated_conjecture, ( _def3(_u29) | ~rp(skolem4, _u29) | ~_def2 )).
% 0.13/0.36 cnf(the_axiom-8, negated_conjecture, ( _def2 | rp(skolem4, skolem5) )).
% 0.13/0.36 cnf(the_axiom-9, negated_conjecture, ( _def2 | rp(skolem4, skolem6) )).
% 0.13/0.36 cnf(the_axiom-10, negated_conjecture, ( _def2 | ( skolem5 != skolem6) )).
% 0.13/0.36
% 0.13/0.36 % Problem matrix:
% 0.13/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.13/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ~cc(__eqx_0) | cc(__eqy_0) )).
% 0.13/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 0.13/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 0.13/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rp(__eqx_0, __eqx_1) | rp(__eqy_0, __eqy_1) )).
% 0.13/0.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 0.13/0.36 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 0.13/0.36 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~_def3(__eqx_0) | _def3(__eqy_0) )).
% 0.13/0.36 cnf(matrix-11, plain, ( ( _u1 != _u0) | ~cc(_u1) | cc(_u0) )).
% 0.13/0.36 cnf(matrix-12, plain, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 0.13/0.36 cnf(matrix-13, plain, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 0.13/0.36 cnf(matrix-14, plain, ( ( _u8 != _u7) | ~rp(_u8, _u6) | rp(_u7, _u6) )).
% 0.13/0.36 cnf(matrix-15, plain, ( ( _u11 != _u10) | ~rp(_u9, _u11) | rp(_u9, _u10) )).
% 0.13/0.36 cnf(matrix-16, plain, ( ( _u13 != _u12) | ~xsd_integer(_u13) | xsd_integer(_u12) )).
% 0.13/0.36 cnf(matrix-17, plain, ( ( _u15 != _u14) | ~xsd_string(_u15) | xsd_string(_u14) )).
% 0.13/0.36 cnf(matrix-18, plain, ( cowlThing(_u17) )).
% 0.13/0.36 cnf(matrix-19, plain, ( ~cowlNothing(_u18) )).
% 0.13/0.36 cnf(matrix-20, plain, ( ~xsd_string(_u20) | ~xsd_integer(_u20) )).
% 0.13/0.36 cnf(matrix-21, plain, ( xsd_integer(_u21) | xsd_string(_u21) )).
% 0.13/0.36 cnf(matrix-22, plain, ( ~cc(_u23) | rp(_u23, skolem1(_u23)) )).
% 0.13/0.36 cnf(matrix-23, plain, ( ~cc(_u26) | ~rp(_u26, _u25) | ~rp(_u26, _u24) | ( _u25 = _u24) )).
% 0.13/0.36 cnf(matrix-24, plain, ( ~cowlThing(skolem2) | cowlNothing(skolem2) | ~_def0 | ~_def1 | ~_def3(_u29) )).
% 0.13/0.36 cnf(matrix-25, plain, ( _def0 | xsd_string(skolem3) )).
% 0.13/0.36 cnf(matrix-26, plain, ( _def0 | xsd_integer(skolem3) )).
% 0.13/0.36 cnf(matrix-27, plain, ( _def1 | ~xsd_integer(skolem3) )).
% 0.13/0.36 cnf(matrix-28, plain, ( _def1 | ~xsd_string(skolem3) )).
% 0.13/0.36 cnf(matrix-29, plain, ( _def3(_u29) | cc(skolem4) )).
% 0.13/0.36 cnf(matrix-30, plain, ( _def3(_u29) | ~rp(skolem4, _u29) | ~_def2 )).
% 0.13/0.36 cnf(matrix-31, plain, ( _def2 | rp(skolem4, skolem5) )).
% 0.13/0.36 cnf(matrix-32, plain, ( _def2 | rp(skolem4, skolem6) )).
% 0.13/0.36 cnf(matrix-33, plain, ( _def2 | ( skolem5 != skolem6) )).
% 0.13/0.36
% 0.13/0.36 % Proof stack:
% 0.13/0.36 cnf(proof-stack, plain,
% 0.13/0.36 proof_stack(
% 0.13/0.36 start(19),
% 0.13/0.36 left_branch(0, 24, 1, 2),
% 0.13/0.36 left_branch(0, 18, 0, 3),
% 0.13/0.36 right_branch(3),
% 0.13/0.36 left_branch(0, 28, 0, 4),
% 0.13/0.36 left_branch(0, 21, 1, 5),
% 0.13/0.36 left_branch(0, 27, 1, 6),
% 0.13/0.36 reduction(0, 1),
% 0.13/0.36 right_branch(6),
% 0.13/0.36 right_branch(5),
% 0.13/0.36 right_branch(4),
% 0.13/0.36 left_branch(0, 26, 0, 5),
% 0.13/0.36 left_branch(0, 20, 1, 6),
% 0.13/0.36 left_branch(0, 25, 1, 7),
% 0.13/0.36 reduction(0, 1),
% 0.13/0.36 right_branch(7),
% 0.13/0.36 right_branch(6),
% 0.13/0.36 right_branch(5),
% 0.13/0.36 left_branch(0, 30, 0, 6),
% 0.13/0.36 left_branch(0, 33, 0, 7),
% 0.13/0.36 left_branch(0, 23, 3, 8),
% 0.13/0.36 left_branch(0, 29, 1, 9),
% 0.13/0.36 reduction(0, 1),
% 0.13/0.36 right_branch(9),
% 0.13/0.36 left_branch(0, 32, 1, 10),
% 0.13/0.36 reduction(0, 2),
% 0.13/0.36 right_branch(10),
% 0.13/0.36 left_branch(0, 31, 1, 11),
% 0.13/0.36 reduction(0, 2),
% 0.13/0.36 right_branch(11),
% 0.13/0.36 right_branch(8),
% 0.13/0.36 right_branch(7),
% 0.13/0.36 left_branch(0, 22, 1, 8),
% 0.13/0.36 left_branch(0, 29, 1, 9),
% 0.13/0.36 reduction(0, 1),
% 0.13/0.36 right_branch(9),
% 0.13/0.36 right_branch(8),
% 0.13/0.36 right_branch(6),
% 0.13/0.36 right_branch(2)
% 0.13/0.36 )).
% 0.13/0.36 % SZS output end Proof for theBenchmark
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