TSTP Solution File: KRS129+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : KRS129+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 : n014.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 14:18:09 EDT 2024

% Result   : Theorem 0.19s 0.48s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS129+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n014.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Mar 21 02:25:15 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% 0.19/0.48  
% 0.19/0.48  % Formula: cEUCountry_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(cEUCountry_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cEUCountry(_u1) | cEUCountry(_u0) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: cEuroMP_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(cEuroMP_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cEuroMP(_u3) | cEuroMP(_u2) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: cEuropeanCountry_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(cEuropeanCountry_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cEuropeanCountry(_u5) | cEuropeanCountry(_u4) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: cPerson_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(cPerson_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cPerson(_u7) | cPerson(_u6) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: cowlNothing_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(cowlNothing_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cowlNothing(_u9) | cowlNothing(_u8) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: cowlThing_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(cowlThing_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cowlThing(_u11) | cowlThing(_u10) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: rhasEuroMP_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(rhasEuroMP_substitution_1-1, axiom, ( ( _u14 != _u13) | ~rhasEuroMP(_u14, _u12) | rhasEuroMP(_u13, _u12) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: rhasEuroMP_substitution_2 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(rhasEuroMP_substitution_2-1, axiom, ( ( _u17 != _u16) | ~rhasEuroMP(_u15, _u17) | rhasEuroMP(_u15, _u16) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: risEuroMPFrom_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(risEuroMPFrom_substitution_1-1, axiom, ( ( _u20 != _u19) | ~risEuroMPFrom(_u20, _u18) | risEuroMPFrom(_u19, _u18) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: risEuroMPFrom_substitution_2 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(risEuroMPFrom_substitution_2-1, axiom, ( ( _u23 != _u22) | ~risEuroMPFrom(_u21, _u23) | risEuroMPFrom(_u21, _u22) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: xsd_integer_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(xsd_integer_substitution_1-1, axiom, ( ( _u25 != _u24) | ~xsd_integer(_u25) | xsd_integer(_u24) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: xsd_string_substitution_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(xsd_string_substitution_1-1, axiom, ( ( _u27 != _u26) | ~xsd_string(_u27) | xsd_string(_u26) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_0 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_0-1, axiom, ( cowlThing(_u29) )).
% 0.19/0.48  cnf(axiom_0-2, axiom, ( ~cowlNothing(_u30) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_1 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_1-1, axiom, ( ~xsd_string(_u32) | ~xsd_integer(_u32) )).
% 0.19/0.48  cnf(axiom_1-2, axiom, ( xsd_integer(_u33) | xsd_string(_u33) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_2 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_2-1, axiom, ( ~cEUCountry(_u35) | ( _u35 = iBE) | ( _u35 = iFR) | ( _u35 = iES) | ( _u35 = iUK) | ( _u35 = iNL) | ( _u35 = iPT) )).
% 0.19/0.48  cnf(axiom_2-2, axiom, ( cEUCountry(_u36) | ( _u36 != iBE) )).
% 0.19/0.48  cnf(axiom_2-3, axiom, ( cEUCountry(_u36) | ( _u36 != iFR) )).
% 0.19/0.48  cnf(axiom_2-4, axiom, ( cEUCountry(_u36) | ( _u36 != iES) )).
% 0.19/0.48  cnf(axiom_2-5, axiom, ( cEUCountry(_u36) | ( _u36 != iUK) )).
% 0.19/0.48  cnf(axiom_2-6, axiom, ( cEUCountry(_u36) | ( _u36 != iNL) )).
% 0.19/0.48  cnf(axiom_2-7, axiom, ( cEUCountry(_u36) | ( _u36 != iPT) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_3 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_3-1, axiom, ( ~cEuroMP(_u40) | risEuroMPFrom(_u40, skolem1(_u40)) )).
% 0.19/0.48  cnf(axiom_3-2, axiom, ( ~cEuroMP(_u40) | cowlThing(skolem1(_u40)) )).
% 0.19/0.48  cnf(axiom_3-3, axiom, ( ~risEuroMPFrom(_u41, _u38) | ~cowlThing(_u38) | cEuroMP(_u41) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_4 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_4-1, axiom, ( cEUCountry(_u43) | ~rhasEuroMP(_u43, _u42) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_5 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_5-1, axiom, ( ~risEuroMPFrom(_u48, _u46) | rhasEuroMP(_u46, _u48) )).
% 0.19/0.48  cnf(axiom_5-2, axiom, ( ~rhasEuroMP(_u47, _u49) | risEuroMPFrom(_u49, _u47) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_6 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_6-1, axiom, ( cEuropeanCountry(iBE) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_7 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_7-1, axiom, ( cEuropeanCountry(iES) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_8 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_8-1, axiom, ( cEuropeanCountry(iFR) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_9 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_9-1, axiom, ( cPerson(iKinnock) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_10 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_10-1, axiom, ( cEuropeanCountry(iNL) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_11 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_11-1, axiom, ( cEuropeanCountry(iPT) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_12 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_12-1, axiom, ( cEuropeanCountry(iUK) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: axiom_13 ( axiom ) converted to clauses:
% 0.19/0.48  cnf(axiom_13-1, axiom, ( rhasEuroMP(iUK, iKinnock) )).
% 0.19/0.48  
% 0.19/0.48  % Formula: the_axiom ( conjecture ) (definitionally) converted to clauses:
% 0.19/0.48  cnf(the_axiom-1, negated_conjecture, ( ~cowlThing(skolem2) | cowlNothing(skolem2) | ~_def0 | ~_def1 | ~cEuroMP(iKinnock) )).
% 0.19/0.48  cnf(the_axiom-2, negated_conjecture, ( _def0 | xsd_string(skolem3) )).
% 0.19/0.48  cnf(the_axiom-3, negated_conjecture, ( _def0 | xsd_integer(skolem3) )).
% 0.19/0.48  cnf(the_axiom-4, negated_conjecture, ( _def1 | ~xsd_integer(skolem3) )).
% 0.19/0.48  cnf(the_axiom-5, negated_conjecture, ( _def1 | ~xsd_string(skolem3) )).
% 0.19/0.48  
% 0.19/0.48  % Problem matrix:
% 0.19/0.48  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.48  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.48  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.48  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.19/0.48  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ~cEUCountry(__eqx_0) | cEUCountry(__eqy_0) )).
% 0.19/0.48  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~cEuroMP(__eqx_0) | cEuroMP(__eqy_0) )).
% 0.19/0.48  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~cEuropeanCountry(__eqx_0) | cEuropeanCountry(__eqy_0) )).
% 0.19/0.48  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~cPerson(__eqx_0) | cPerson(__eqy_0) )).
% 0.19/0.48  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 0.19/0.48  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 0.19/0.48  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rhasEuroMP(__eqx_0, __eqx_1) | rhasEuroMP(__eqy_0, __eqy_1) )).
% 0.19/0.48  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~risEuroMPFrom(__eqx_0, __eqx_1) | risEuroMPFrom(__eqy_0, __eqy_1) )).
% 0.19/0.48  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 0.19/0.48  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 0.19/0.48  cnf(matrix-14, plain, ( ( _u1 != _u0) | ~cEUCountry(_u1) | cEUCountry(_u0) )).
% 0.19/0.48  cnf(matrix-15, plain, ( ( _u3 != _u2) | ~cEuroMP(_u3) | cEuroMP(_u2) )).
% 0.19/0.48  cnf(matrix-16, plain, ( ( _u5 != _u4) | ~cEuropeanCountry(_u5) | cEuropeanCountry(_u4) )).
% 0.19/0.48  cnf(matrix-17, plain, ( ( _u7 != _u6) | ~cPerson(_u7) | cPerson(_u6) )).
% 0.19/0.48  cnf(matrix-18, plain, ( ( _u9 != _u8) | ~cowlNothing(_u9) | cowlNothing(_u8) )).
% 0.19/0.48  cnf(matrix-19, plain, ( ( _u11 != _u10) | ~cowlThing(_u11) | cowlThing(_u10) )).
% 0.19/0.48  cnf(matrix-20, plain, ( ( _u14 != _u13) | ~rhasEuroMP(_u14, _u12) | rhasEuroMP(_u13, _u12) )).
% 0.19/0.48  cnf(matrix-21, plain, ( ( _u17 != _u16) | ~rhasEuroMP(_u15, _u17) | rhasEuroMP(_u15, _u16) )).
% 0.19/0.48  cnf(matrix-22, plain, ( ( _u20 != _u19) | ~risEuroMPFrom(_u20, _u18) | risEuroMPFrom(_u19, _u18) )).
% 0.19/0.48  cnf(matrix-23, plain, ( ( _u23 != _u22) | ~risEuroMPFrom(_u21, _u23) | risEuroMPFrom(_u21, _u22) )).
% 0.19/0.48  cnf(matrix-24, plain, ( ( _u25 != _u24) | ~xsd_integer(_u25) | xsd_integer(_u24) )).
% 0.19/0.48  cnf(matrix-25, plain, ( ( _u27 != _u26) | ~xsd_string(_u27) | xsd_string(_u26) )).
% 0.19/0.48  cnf(matrix-26, plain, ( cowlThing(_u29) )).
% 0.19/0.48  cnf(matrix-27, plain, ( ~cowlNothing(_u30) )).
% 0.19/0.48  cnf(matrix-28, plain, ( ~xsd_string(_u32) | ~xsd_integer(_u32) )).
% 0.19/0.48  cnf(matrix-29, plain, ( xsd_integer(_u33) | xsd_string(_u33) )).
% 0.19/0.48  cnf(matrix-30, plain, ( ~cEUCountry(_u35) | ( _u35 = iBE) | ( _u35 = iFR) | ( _u35 = iES) | ( _u35 = iUK) | ( _u35 = iNL) | ( _u35 = iPT) )).
% 0.19/0.48  cnf(matrix-31, plain, ( cEUCountry(_u36) | ( _u36 != iBE) )).
% 0.19/0.48  cnf(matrix-32, plain, ( cEUCountry(_u36) | ( _u36 != iFR) )).
% 0.19/0.48  cnf(matrix-33, plain, ( cEUCountry(_u36) | ( _u36 != iES) )).
% 0.19/0.48  cnf(matrix-34, plain, ( cEUCountry(_u36) | ( _u36 != iUK) )).
% 0.19/0.48  cnf(matrix-35, plain, ( cEUCountry(_u36) | ( _u36 != iNL) )).
% 0.19/0.48  cnf(matrix-36, plain, ( cEUCountry(_u36) | ( _u36 != iPT) )).
% 0.19/0.48  cnf(matrix-37, plain, ( ~cEuroMP(_u40) | risEuroMPFrom(_u40, skolem1(_u40)) )).
% 0.19/0.48  cnf(matrix-38, plain, ( ~cEuroMP(_u40) | cowlThing(skolem1(_u40)) )).
% 0.19/0.48  cnf(matrix-39, plain, ( ~risEuroMPFrom(_u41, _u38) | ~cowlThing(_u38) | cEuroMP(_u41) )).
% 0.19/0.48  cnf(matrix-40, plain, ( cEUCountry(_u43) | ~rhasEuroMP(_u43, _u42) )).
% 0.19/0.48  cnf(matrix-41, plain, ( ~risEuroMPFrom(_u48, _u46) | rhasEuroMP(_u46, _u48) )).
% 0.19/0.48  cnf(matrix-42, plain, ( ~rhasEuroMP(_u47, _u49) | risEuroMPFrom(_u49, _u47) )).
% 0.19/0.48  cnf(matrix-43, plain, ( cEuropeanCountry(iBE) )).
% 0.19/0.48  cnf(matrix-44, plain, ( cEuropeanCountry(iES) )).
% 0.19/0.48  cnf(matrix-45, plain, ( cEuropeanCountry(iFR) )).
% 0.19/0.48  cnf(matrix-46, plain, ( cPerson(iKinnock) )).
% 0.19/0.48  cnf(matrix-47, plain, ( cEuropeanCountry(iNL) )).
% 0.19/0.48  cnf(matrix-48, plain, ( cEuropeanCountry(iPT) )).
% 0.19/0.48  cnf(matrix-49, plain, ( cEuropeanCountry(iUK) )).
% 0.19/0.48  cnf(matrix-50, plain, ( rhasEuroMP(iUK, iKinnock) )).
% 0.19/0.48  cnf(matrix-51, plain, ( ~cowlThing(skolem2) | cowlNothing(skolem2) | ~_def0 | ~_def1 | ~cEuroMP(iKinnock) )).
% 0.19/0.48  cnf(matrix-52, plain, ( _def0 | xsd_string(skolem3) )).
% 0.19/0.48  cnf(matrix-53, plain, ( _def0 | xsd_integer(skolem3) )).
% 0.19/0.48  cnf(matrix-54, plain, ( _def1 | ~xsd_integer(skolem3) )).
% 0.19/0.48  cnf(matrix-55, plain, ( _def1 | ~xsd_string(skolem3) )).
% 0.19/0.48  
% 0.19/0.48  % Proof stack:
% 0.19/0.48  cnf(proof-stack, plain, 
% 0.19/0.48  proof_stack(
% 0.19/0.48  start(27), 
% 0.19/0.48  left_branch(0, 51, 1, 2), 
% 0.19/0.48  left_branch(0, 26, 0, 3), 
% 0.19/0.48  right_branch(3), 
% 0.19/0.48  left_branch(0, 55, 0, 4), 
% 0.19/0.48  left_branch(0, 29, 1, 5), 
% 0.19/0.48  left_branch(0, 54, 1, 6), 
% 0.19/0.48  reduction(0, 1), 
% 0.19/0.48  right_branch(6), 
% 0.19/0.48  right_branch(5), 
% 0.19/0.48  right_branch(4), 
% 0.19/0.48  left_branch(0, 53, 0, 5), 
% 0.19/0.48  left_branch(0, 28, 1, 6), 
% 0.19/0.48  left_branch(0, 52, 1, 7), 
% 0.19/0.48  reduction(0, 1), 
% 0.19/0.48  right_branch(7), 
% 0.19/0.48  right_branch(6), 
% 0.19/0.48  right_branch(5), 
% 0.19/0.48  left_branch(0, 39, 2, 6), 
% 0.19/0.48  left_branch(0, 42, 1, 7), 
% 0.19/0.48  left_branch(0, 50, 0, 8), 
% 0.19/0.48  right_branch(8), 
% 0.19/0.48  right_branch(7), 
% 0.19/0.48  left_branch(0, 26, 0, 8), 
% 0.19/0.48  right_branch(8), 
% 0.19/0.48  right_branch(6), 
% 0.19/0.48  right_branch(2)
% 0.19/0.48  )).
% 0.19/0.48  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------