TSTP Solution File: KRS063+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : KRS063+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 : n004.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 14:17:58 EDT 2024

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS063+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 02:24:38 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35  % SZS output start Proof for theBenchmark
% 0.12/0.35  
% 0.12/0.35  % Formula: cEUCountry_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(cEUCountry_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cEUCountry(_u1) | cEUCountry(_u0) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: cEuroMP_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(cEuroMP_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cEuroMP(_u3) | cEuroMP(_u2) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: cEuropeanCountry_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(cEuropeanCountry_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cEuropeanCountry(_u5) | cEuropeanCountry(_u4) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: cPerson_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(cPerson_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cPerson(_u7) | cPerson(_u6) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(cowlNothing_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cowlNothing(_u9) | cowlNothing(_u8) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(cowlThing_substitution_1-1, axiom, ( ( _u11 != _u10) | ~cowlThing(_u11) | cowlThing(_u10) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: rhasEuroMP_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(rhasEuroMP_substitution_1-1, axiom, ( ( _u14 != _u13) | ~rhasEuroMP(_u14, _u12) | rhasEuroMP(_u13, _u12) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: rhasEuroMP_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(rhasEuroMP_substitution_2-1, axiom, ( ( _u17 != _u16) | ~rhasEuroMP(_u15, _u17) | rhasEuroMP(_u15, _u16) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: risEuroMPFrom_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(risEuroMPFrom_substitution_1-1, axiom, ( ( _u20 != _u19) | ~risEuroMPFrom(_u20, _u18) | risEuroMPFrom(_u19, _u18) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: risEuroMPFrom_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(risEuroMPFrom_substitution_2-1, axiom, ( ( _u23 != _u22) | ~risEuroMPFrom(_u21, _u23) | risEuroMPFrom(_u21, _u22) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(xsd_integer_substitution_1-1, axiom, ( ( _u25 != _u24) | ~xsd_integer(_u25) | xsd_integer(_u24) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(xsd_string_substitution_1-1, axiom, ( ( _u27 != _u26) | ~xsd_string(_u27) | xsd_string(_u26) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_0-1, axiom, ( cowlThing(_u28) )).
% 0.12/0.35  cnf(axiom_0-2, axiom, ( ~cowlNothing(_u28) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_1-1, axiom, ( ~xsd_string(_u29) | ~xsd_integer(_u29) )).
% 0.12/0.35  cnf(axiom_1-2, axiom, ( xsd_integer(_u29) | xsd_string(_u29) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_2-1, axiom, ( ~cEUCountry(_u30) | ( _u30 = iPT) | ( _u30 = iBE) | ( _u30 = iNL) | ( _u30 = iES) | ( _u30 = iFR) | ( _u30 = iUK) )).
% 0.12/0.35  cnf(axiom_2-2, axiom, ( ~_def0(_u30) | cEUCountry(_u30) )).
% 0.12/0.35  cnf(axiom_2-3, axiom, ( _def0(_u30) | ( _u30 != iPT) )).
% 0.12/0.35  cnf(axiom_2-4, axiom, ( _def0(_u30) | ( _u30 != iBE) )).
% 0.12/0.35  cnf(axiom_2-5, axiom, ( _def0(_u30) | ( _u30 != iNL) )).
% 0.12/0.35  cnf(axiom_2-6, axiom, ( _def0(_u30) | ( _u30 != iES) )).
% 0.12/0.35  cnf(axiom_2-7, axiom, ( _def0(_u30) | ( _u30 != iFR) )).
% 0.12/0.35  cnf(axiom_2-8, axiom, ( _def0(_u30) | ( _u30 != iUK) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_3-1, axiom, ( ~cEuroMP(_u33) | ~_def1(_u33) )).
% 0.12/0.35  cnf(axiom_3-2, axiom, ( ~risEuroMPFrom(_u33, _u32) | ~cowlThing(_u32) | cEuroMP(_u33) )).
% 0.12/0.35  cnf(axiom_3-3, axiom, ( _def1(_u33) | risEuroMPFrom(_u33, skolem1(_u33)) )).
% 0.12/0.35  cnf(axiom_3-4, axiom, ( _def1(_u33) | cowlThing(skolem1(_u33)) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_4-1, axiom, ( ~rhasEuroMP(_u35, _u34) | cEUCountry(_u35) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_5-1, axiom, ( ~risEuroMPFrom(_u37, _u36) | rhasEuroMP(_u36, _u37) )).
% 0.12/0.35  cnf(axiom_5-2, axiom, ( ~rhasEuroMP(_u36, _u37) | risEuroMPFrom(_u37, _u36) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_6-1, axiom, ( cEuropeanCountry(iBE) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_7-1, axiom, ( cEuropeanCountry(iES) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_8-1, axiom, ( cEuropeanCountry(iFR) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_9-1, axiom, ( cPerson(iKinnock) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_10 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_10-1, axiom, ( ~cEuroMP(iKinnock) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_11 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_11-1, axiom, ( cEuropeanCountry(iNL) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_12 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_12-1, axiom, ( cEuropeanCountry(iPT) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_13 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_13-1, axiom, ( cEuropeanCountry(iUK) )).
% 0.12/0.35  
% 0.12/0.35  % Formula: axiom_14 ( axiom ) (definitionally) converted to clauses:
% 0.12/0.35  cnf(axiom_14-1, axiom, ( rhasEuroMP(iUK, iKinnock) )).
% 0.12/0.35  
% 0.12/0.35  % Problem matrix:
% 0.12/0.35  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.35  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.35  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.35  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.12/0.35  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ~cEUCountry(__eqx_0) | cEUCountry(__eqy_0) )).
% 0.12/0.35  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~cEuroMP(__eqx_0) | cEuroMP(__eqy_0) )).
% 0.12/0.35  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~cEuropeanCountry(__eqx_0) | cEuropeanCountry(__eqy_0) )).
% 0.12/0.35  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~cPerson(__eqx_0) | cPerson(__eqy_0) )).
% 0.12/0.35  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 0.12/0.35  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 0.12/0.35  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rhasEuroMP(__eqx_0, __eqx_1) | rhasEuroMP(__eqy_0, __eqy_1) )).
% 0.12/0.35  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~risEuroMPFrom(__eqx_0, __eqx_1) | risEuroMPFrom(__eqy_0, __eqy_1) )).
% 0.12/0.35  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 0.12/0.35  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 0.12/0.35  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~_def0(__eqx_0) | _def0(__eqy_0) )).
% 0.12/0.35  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 0.12/0.35  cnf(matrix-16, plain, ( ( _u1 != _u0) | ~cEUCountry(_u1) | cEUCountry(_u0) )).
% 0.12/0.35  cnf(matrix-17, plain, ( ( _u3 != _u2) | ~cEuroMP(_u3) | cEuroMP(_u2) )).
% 0.12/0.35  cnf(matrix-18, plain, ( ( _u5 != _u4) | ~cEuropeanCountry(_u5) | cEuropeanCountry(_u4) )).
% 0.12/0.35  cnf(matrix-19, plain, ( ( _u7 != _u6) | ~cPerson(_u7) | cPerson(_u6) )).
% 0.12/0.35  cnf(matrix-20, plain, ( ( _u9 != _u8) | ~cowlNothing(_u9) | cowlNothing(_u8) )).
% 0.12/0.35  cnf(matrix-21, plain, ( ( _u11 != _u10) | ~cowlThing(_u11) | cowlThing(_u10) )).
% 0.12/0.35  cnf(matrix-22, plain, ( ( _u14 != _u13) | ~rhasEuroMP(_u14, _u12) | rhasEuroMP(_u13, _u12) )).
% 0.12/0.35  cnf(matrix-23, plain, ( ( _u17 != _u16) | ~rhasEuroMP(_u15, _u17) | rhasEuroMP(_u15, _u16) )).
% 0.12/0.35  cnf(matrix-24, plain, ( ( _u20 != _u19) | ~risEuroMPFrom(_u20, _u18) | risEuroMPFrom(_u19, _u18) )).
% 0.12/0.35  cnf(matrix-25, plain, ( ( _u23 != _u22) | ~risEuroMPFrom(_u21, _u23) | risEuroMPFrom(_u21, _u22) )).
% 0.12/0.35  cnf(matrix-26, plain, ( ( _u25 != _u24) | ~xsd_integer(_u25) | xsd_integer(_u24) )).
% 0.12/0.35  cnf(matrix-27, plain, ( ( _u27 != _u26) | ~xsd_string(_u27) | xsd_string(_u26) )).
% 0.12/0.35  cnf(matrix-28, plain, ( cowlThing(_u28) )).
% 0.12/0.35  cnf(matrix-29, plain, ( ~cowlNothing(_u28) )).
% 0.12/0.35  cnf(matrix-30, plain, ( ~xsd_string(_u29) | ~xsd_integer(_u29) )).
% 0.12/0.35  cnf(matrix-31, plain, ( xsd_integer(_u29) | xsd_string(_u29) )).
% 0.12/0.35  cnf(matrix-32, plain, ( ~cEUCountry(_u30) | ( _u30 = iPT) | ( _u30 = iBE) | ( _u30 = iNL) | ( _u30 = iES) | ( _u30 = iFR) | ( _u30 = iUK) )).
% 0.12/0.35  cnf(matrix-33, plain, ( ~_def0(_u30) | cEUCountry(_u30) )).
% 0.12/0.35  cnf(matrix-34, plain, ( _def0(_u30) | ( _u30 != iPT) )).
% 0.12/0.35  cnf(matrix-35, plain, ( _def0(_u30) | ( _u30 != iBE) )).
% 0.12/0.35  cnf(matrix-36, plain, ( _def0(_u30) | ( _u30 != iNL) )).
% 0.12/0.35  cnf(matrix-37, plain, ( _def0(_u30) | ( _u30 != iES) )).
% 0.12/0.35  cnf(matrix-38, plain, ( _def0(_u30) | ( _u30 != iFR) )).
% 0.12/0.35  cnf(matrix-39, plain, ( _def0(_u30) | ( _u30 != iUK) )).
% 0.12/0.35  cnf(matrix-40, plain, ( ~cEuroMP(_u33) | ~_def1(_u33) )).
% 0.12/0.35  cnf(matrix-41, plain, ( ~risEuroMPFrom(_u33, _u32) | ~cowlThing(_u32) | cEuroMP(_u33) )).
% 0.12/0.35  cnf(matrix-42, plain, ( _def1(_u33) | risEuroMPFrom(_u33, skolem1(_u33)) )).
% 0.12/0.35  cnf(matrix-43, plain, ( _def1(_u33) | cowlThing(skolem1(_u33)) )).
% 0.12/0.35  cnf(matrix-44, plain, ( ~rhasEuroMP(_u35, _u34) | cEUCountry(_u35) )).
% 0.12/0.35  cnf(matrix-45, plain, ( ~risEuroMPFrom(_u37, _u36) | rhasEuroMP(_u36, _u37) )).
% 0.12/0.35  cnf(matrix-46, plain, ( ~rhasEuroMP(_u36, _u37) | risEuroMPFrom(_u37, _u36) )).
% 0.12/0.35  cnf(matrix-47, plain, ( cEuropeanCountry(iBE) )).
% 0.12/0.35  cnf(matrix-48, plain, ( cEuropeanCountry(iES) )).
% 0.12/0.35  cnf(matrix-49, plain, ( cEuropeanCountry(iFR) )).
% 0.12/0.35  cnf(matrix-50, plain, ( cPerson(iKinnock) )).
% 0.12/0.35  cnf(matrix-51, plain, ( ~cEuroMP(iKinnock) )).
% 0.12/0.35  cnf(matrix-52, plain, ( cEuropeanCountry(iNL) )).
% 0.12/0.35  cnf(matrix-53, plain, ( cEuropeanCountry(iPT) )).
% 0.12/0.35  cnf(matrix-54, plain, ( cEuropeanCountry(iUK) )).
% 0.12/0.35  cnf(matrix-55, plain, ( rhasEuroMP(iUK, iKinnock) )).
% 0.12/0.35  
% 0.12/0.35  % Proof stack:
% 0.12/0.35  cnf(proof-stack, plain, 
% 0.12/0.35  proof_stack(
% 0.12/0.35  start(40), 
% 0.12/0.35  left_branch(0, 41, 2, 2), 
% 0.12/0.35  left_branch(0, 46, 1, 3), 
% 0.12/0.35  left_branch(0, 55, 0, 4), 
% 0.12/0.35  right_branch(4), 
% 0.12/0.35  right_branch(3), 
% 0.12/0.35  left_branch(0, 28, 0, 4), 
% 0.12/0.35  right_branch(4), 
% 0.12/0.35  right_branch(2), 
% 0.12/0.35  left_branch(0, 42, 0, 3), 
% 0.12/0.35  left_branch(0, 41, 0, 4), 
% 0.12/0.35  left_branch(0, 51, 0, 5), 
% 0.12/0.35  right_branch(5), 
% 0.12/0.35  left_branch(0, 28, 0, 6), 
% 0.12/0.35  right_branch(6), 
% 0.12/0.35  right_branch(4), 
% 0.12/0.35  right_branch(3)
% 0.12/0.35  )).
% 0.12/0.35  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------