TSTP Solution File: KRS082+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : KRS082+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 : n015.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 14:18:01 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Mar 21 02:54:04 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_0-1, axiom, ( cowlThing(_u0) )).
% 0.14/0.38  cnf(axiom_0-2, axiom, ( ~cowlNothing(_u0) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_1-1, axiom, ( ~xsd_string(_u1) | ~xsd_integer(_u1) )).
% 0.14/0.38  cnf(axiom_1-2, axiom, ( xsd_integer(_u1) | xsd_string(_u1) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u12) | ~_def2(_u7, _u12, _u8, _u5, _u3, _u9) )).
% 0.14/0.38  cnf(axiom_2-2, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | rs(_u12, skolem1(_u12)) )).
% 0.14/0.38  cnf(axiom_2-3, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | rp(skolem1(_u12), skolem2(_u12)) )).
% 0.14/0.38  cnf(axiom_2-4, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | cowlThing(skolem2(_u12)) )).
% 0.14/0.38  cnf(axiom_2-5, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | ~rr(skolem1(_u12), _u3) | cc(_u3) )).
% 0.14/0.38  cnf(axiom_2-6, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | ~rp(skolem1(_u12), _u5) | ~_def0(_u12, _u5) )).
% 0.14/0.38  cnf(axiom_2-7, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | ~rp(skolem1(_u12), _u7) | ~_def1(_u7, _u12) )).
% 0.14/0.38  cnf(axiom_2-8, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | ~rp(skolem1(_u12), _u9) | ~rr(_u9, _u8) | cc(_u8) )).
% 0.14/0.38  cnf(axiom_2-9, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | rr(skolem1(_u12), skolem5(_u12)) )).
% 0.14/0.38  cnf(axiom_2-10, axiom, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | cowlThing(skolem5(_u12)) )).
% 0.14/0.38  cnf(axiom_2-11, axiom, ( _def0(_u12, _u5) | rr(_u5, skolem3(_u12, _u5)) )).
% 0.14/0.38  cnf(axiom_2-12, axiom, ( _def0(_u12, _u5) | cowlThing(skolem3(_u12, _u5)) )).
% 0.14/0.38  cnf(axiom_2-13, axiom, ( _def1(_u7, _u12) | rp(_u7, skolem4(_u12, _u7)) )).
% 0.14/0.38  cnf(axiom_2-14, axiom, ( _def1(_u7, _u12) | cowlThing(skolem4(_u12, _u7)) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_3-1, axiom, ( ~cUnsatisfiable(_u13) | ca(_u13) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_4-1, axiom, ( ~cc(_u20) | ~rinvR(_u20, _u16) | ~rinvP(_u16, _u15) | ~rinvS(_u15, _u14) | ~ca(_u14) )).
% 0.14/0.38  cnf(axiom_4-2, axiom, ( ~_def3(_u20) | cc(_u20) )).
% 0.14/0.38  cnf(axiom_4-3, axiom, ( _def3(_u20) | rinvR(_u20, skolem6(_u20)) )).
% 0.14/0.38  cnf(axiom_4-4, axiom, ( _def3(_u20) | rinvP(skolem6(_u20), skolem7(_u20)) )).
% 0.14/0.38  cnf(axiom_4-5, axiom, ( _def3(_u20) | rinvS(skolem7(_u20), skolem8(_u20)) )).
% 0.14/0.38  cnf(axiom_4-6, axiom, ( _def3(_u20) | ca(skolem8(_u20)) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_5 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_5-1, axiom, ( ~rinvP(_u22, _u21) | rp(_u21, _u22) )).
% 0.14/0.38  cnf(axiom_5-2, axiom, ( ~rp(_u21, _u22) | rinvP(_u22, _u21) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_6 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_6-1, axiom, ( ~rinvR(_u24, _u23) | rr(_u23, _u24) )).
% 0.14/0.38  cnf(axiom_6-2, axiom, ( ~rr(_u23, _u24) | rinvR(_u24, _u23) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_7 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_7-1, axiom, ( ~rinvS(_u26, _u25) | rs(_u25, _u26) )).
% 0.14/0.38  cnf(axiom_7-2, axiom, ( ~rs(_u25, _u26) | rinvS(_u26, _u25) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_8 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_8-1, axiom, ( ~rp(_u29, _u28) | ~rp(_u28, _u27) | rp(_u29, _u27) )).
% 0.14/0.38  
% 0.14/0.38  % Formula: axiom_9 ( axiom ) (definitionally) converted to clauses:
% 0.14/0.38  cnf(axiom_9-1, axiom, ( cUnsatisfiable(i2003_11_14_17_19_28752) )).
% 0.14/0.38  
% 0.14/0.38  % Problem matrix:
% 0.14/0.38  cnf(matrix-0, plain, ( cowlThing(_u0) )).
% 0.14/0.38  cnf(matrix-1, plain, ( ~cowlNothing(_u0) )).
% 0.14/0.38  cnf(matrix-2, plain, ( ~xsd_string(_u1) | ~xsd_integer(_u1) )).
% 0.14/0.38  cnf(matrix-3, plain, ( xsd_integer(_u1) | xsd_string(_u1) )).
% 0.14/0.38  cnf(matrix-4, plain, ( ~cUnsatisfiable(_u12) | ~_def2(_u7, _u12, _u8, _u5, _u3, _u9) )).
% 0.14/0.38  cnf(matrix-5, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | rs(_u12, skolem1(_u12)) )).
% 0.14/0.38  cnf(matrix-6, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | rp(skolem1(_u12), skolem2(_u12)) )).
% 0.14/0.38  cnf(matrix-7, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | cowlThing(skolem2(_u12)) )).
% 0.14/0.38  cnf(matrix-8, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | ~rr(skolem1(_u12), _u3) | cc(_u3) )).
% 0.14/0.38  cnf(matrix-9, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | ~rp(skolem1(_u12), _u5) | ~_def0(_u12, _u5) )).
% 0.14/0.38  cnf(matrix-10, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | ~rp(skolem1(_u12), _u7) | ~_def1(_u7, _u12) )).
% 0.14/0.38  cnf(matrix-11, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | ~rp(skolem1(_u12), _u9) | ~rr(_u9, _u8) | cc(_u8) )).
% 0.14/0.38  cnf(matrix-12, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | rr(skolem1(_u12), skolem5(_u12)) )).
% 0.14/0.38  cnf(matrix-13, plain, ( _def2(_u7, _u12, _u8, _u5, _u3, _u9) | cowlThing(skolem5(_u12)) )).
% 0.14/0.38  cnf(matrix-14, plain, ( _def0(_u12, _u5) | rr(_u5, skolem3(_u12, _u5)) )).
% 0.14/0.38  cnf(matrix-15, plain, ( _def0(_u12, _u5) | cowlThing(skolem3(_u12, _u5)) )).
% 0.14/0.38  cnf(matrix-16, plain, ( _def1(_u7, _u12) | rp(_u7, skolem4(_u12, _u7)) )).
% 0.14/0.38  cnf(matrix-17, plain, ( _def1(_u7, _u12) | cowlThing(skolem4(_u12, _u7)) )).
% 0.14/0.38  cnf(matrix-18, plain, ( ~cUnsatisfiable(_u13) | ca(_u13) )).
% 0.14/0.38  cnf(matrix-19, plain, ( ~cc(_u20) | ~rinvR(_u20, _u16) | ~rinvP(_u16, _u15) | ~rinvS(_u15, _u14) | ~ca(_u14) )).
% 0.14/0.38  cnf(matrix-20, plain, ( ~_def3(_u20) | cc(_u20) )).
% 0.14/0.38  cnf(matrix-21, plain, ( _def3(_u20) | rinvR(_u20, skolem6(_u20)) )).
% 0.14/0.38  cnf(matrix-22, plain, ( _def3(_u20) | rinvP(skolem6(_u20), skolem7(_u20)) )).
% 0.14/0.38  cnf(matrix-23, plain, ( _def3(_u20) | rinvS(skolem7(_u20), skolem8(_u20)) )).
% 0.14/0.38  cnf(matrix-24, plain, ( _def3(_u20) | ca(skolem8(_u20)) )).
% 0.14/0.38  cnf(matrix-25, plain, ( ~rinvP(_u22, _u21) | rp(_u21, _u22) )).
% 0.14/0.38  cnf(matrix-26, plain, ( ~rp(_u21, _u22) | rinvP(_u22, _u21) )).
% 0.14/0.38  cnf(matrix-27, plain, ( ~rinvR(_u24, _u23) | rr(_u23, _u24) )).
% 0.14/0.38  cnf(matrix-28, plain, ( ~rr(_u23, _u24) | rinvR(_u24, _u23) )).
% 0.14/0.38  cnf(matrix-29, plain, ( ~rinvS(_u26, _u25) | rs(_u25, _u26) )).
% 0.14/0.38  cnf(matrix-30, plain, ( ~rs(_u25, _u26) | rinvS(_u26, _u25) )).
% 0.14/0.38  cnf(matrix-31, plain, ( ~rp(_u29, _u28) | ~rp(_u28, _u27) | rp(_u29, _u27) )).
% 0.14/0.38  cnf(matrix-32, plain, ( cUnsatisfiable(i2003_11_14_17_19_28752) )).
% 0.14/0.38  
% 0.14/0.38  % Proof stack:
% 0.14/0.38  cnf(proof-stack, plain, 
% 0.14/0.38  proof_stack(
% 0.14/0.38  start(4), 
% 0.14/0.38  left_branch(0, 32, 0, 2), 
% 0.14/0.38  right_branch(2), 
% 0.14/0.38  left_branch(0, 6, 0, 3), 
% 0.14/0.38  left_branch(0, 11, 1, 4), 
% 0.14/0.38  reduction(0, 0), 
% 0.14/0.38  left_branch(0, 14, 1, 6), 
% 0.14/0.38  left_branch(0, 9, 2, 7), 
% 0.14/0.38  reduction(0, 0), 
% 0.14/0.38  reduction(0, 1), 
% 0.14/0.38  right_branch(7), 
% 0.14/0.38  right_branch(6), 
% 0.14/0.38  left_branch(0, 19, 0, 7), 
% 0.14/0.38  left_branch(0, 18, 1, 8), 
% 0.14/0.38  left_branch(0, 32, 0, 9), 
% 0.14/0.38  right_branch(9), 
% 0.14/0.38  right_branch(8), 
% 0.14/0.38  left_branch(0, 30, 1, 9), 
% 0.14/0.38  left_branch(0, 5, 1, 10), 
% 0.14/0.38  reduction(0, 0), 
% 0.14/0.38  right_branch(10), 
% 0.14/0.38  right_branch(9), 
% 0.14/0.38  left_branch(0, 26, 1, 10), 
% 0.14/0.38  reduction(0, 1), 
% 0.14/0.38  right_branch(10), 
% 0.14/0.38  left_branch(0, 28, 1, 11), 
% 0.14/0.38  lemmata(0, 2), 
% 0.14/0.38  right_branch(11), 
% 0.14/0.38  right_branch(7), 
% 0.14/0.38  right_branch(4), 
% 0.14/0.38  right_branch(3)
% 0.14/0.38  )).
% 0.14/0.38  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------