TSTP Solution File: KRS096+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : KRS096+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 : n027.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 14:18:02 EDT 2024

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS096+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34  % CPULimit : 300
% 0.19/0.34  % WCLimit  : 300
% 0.19/0.34  % DateTime : Thu Mar 21 02:59:01 EDT 2024
% 0.19/0.34  % CPUTime  : 
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% 0.20/0.49  
% 0.20/0.49  % Formula: cUnsatisfiable_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(cUnsatisfiable_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: cc_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(cc_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cc(_u3) | cc(_u2) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: cd_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(cd_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cd(_u5) | cd(_u4) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: cowlNothing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(cowlNothing_substitution_1-1, axiom, ( ( _u7 != _u6) | ~cowlNothing(_u7) | cowlNothing(_u6) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: cowlThing_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(cowlThing_substitution_1-1, axiom, ( ( _u9 != _u8) | ~cowlThing(_u9) | cowlThing(_u8) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: rr_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(rr_substitution_1-1, axiom, ( ( _u12 != _u11) | ~rr(_u12, _u10) | rr(_u11, _u10) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: rr_substitution_2 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(rr_substitution_2-1, axiom, ( ( _u15 != _u14) | ~rr(_u13, _u15) | rr(_u13, _u14) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: xsd_integer_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(xsd_integer_substitution_1-1, axiom, ( ( _u17 != _u16) | ~xsd_integer(_u17) | xsd_integer(_u16) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: xsd_string_substitution_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(xsd_string_substitution_1-1, axiom, ( ( _u19 != _u18) | ~xsd_string(_u19) | xsd_string(_u18) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: axiom_0 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(axiom_0-1, axiom, ( cowlThing(_u20) )).
% 0.20/0.49  cnf(axiom_0-2, axiom, ( ~cowlNothing(_u20) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: axiom_1 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(axiom_1-1, axiom, ( ~xsd_string(_u21) | ~xsd_integer(_u21) )).
% 0.20/0.49  cnf(axiom_1-2, axiom, ( xsd_integer(_u21) | xsd_string(_u21) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: axiom_2 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(axiom_2-1, axiom, ( ~cUnsatisfiable(_u30) | ~_def0(_u30, _u24, _u25) )).
% 0.20/0.49  cnf(axiom_2-2, axiom, ( ~rr(_u30, _u26) | ~cc(_u26) | ~rr(_u30, _u27) | ~cd(_u27) | ~_def1(_u30) | cUnsatisfiable(_u30) )).
% 0.20/0.49  cnf(axiom_2-3, axiom, ( _def0(_u30, _u24, _u25) | rr(_u30, skolem1(_u30)) )).
% 0.20/0.49  cnf(axiom_2-4, axiom, ( _def0(_u30, _u24, _u25) | cc(skolem1(_u30)) )).
% 0.20/0.49  cnf(axiom_2-5, axiom, ( _def0(_u30, _u24, _u25) | rr(_u30, skolem2(_u30)) )).
% 0.20/0.49  cnf(axiom_2-6, axiom, ( _def0(_u30, _u24, _u25) | cd(skolem2(_u30)) )).
% 0.20/0.49  cnf(axiom_2-7, axiom, ( _def0(_u30, _u24, _u25) | ~rr(_u30, _u25) | ~rr(_u30, _u24) | ( _u25 = _u24) )).
% 0.20/0.49  cnf(axiom_2-8, axiom, ( _def1(_u30) | rr(_u30, skolem3(_u30)) )).
% 0.20/0.49  cnf(axiom_2-9, axiom, ( _def1(_u30) | rr(_u30, skolem4(_u30)) )).
% 0.20/0.49  cnf(axiom_2-10, axiom, ( _def1(_u30) | ( skolem3(_u30) != skolem4(_u30)) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: axiom_3 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(axiom_3-1, axiom, ( ~cc(_u31) | ~cd(_u31) )).
% 0.20/0.49  
% 0.20/0.49  % Formula: axiom_4 ( axiom ) (definitionally) converted to clauses:
% 0.20/0.49  cnf(axiom_4-1, axiom, ( cUnsatisfiable(i2003_11_14_17_20_18265) )).
% 0.20/0.49  
% 0.20/0.49  % Problem matrix:
% 0.20/0.49  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.20/0.49  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.20/0.49  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.20/0.49  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.20/0.49  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 0.20/0.49  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.20/0.49  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.20/0.49  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~cUnsatisfiable(__eqx_0) | cUnsatisfiable(__eqy_0) )).
% 0.20/0.49  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~cc(__eqx_0) | cc(__eqy_0) )).
% 0.20/0.49  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~cd(__eqx_0) | cd(__eqy_0) )).
% 0.20/0.49  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 0.20/0.49  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 0.20/0.49  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rr(__eqx_0, __eqx_1) | rr(__eqy_0, __eqy_1) )).
% 0.20/0.49  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 0.20/0.49  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 0.20/0.49  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~_def0(__eqx_0, __eqx_1, __eqx_2) | _def0(__eqy_0, __eqy_1, __eqy_2) )).
% 0.20/0.49  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 0.20/0.49  cnf(matrix-17, plain, ( ( _u1 != _u0) | ~cUnsatisfiable(_u1) | cUnsatisfiable(_u0) )).
% 0.20/0.49  cnf(matrix-18, plain, ( ( _u3 != _u2) | ~cc(_u3) | cc(_u2) )).
% 0.20/0.49  cnf(matrix-19, plain, ( ( _u5 != _u4) | ~cd(_u5) | cd(_u4) )).
% 0.20/0.49  cnf(matrix-20, plain, ( ( _u7 != _u6) | ~cowlNothing(_u7) | cowlNothing(_u6) )).
% 0.20/0.49  cnf(matrix-21, plain, ( ( _u9 != _u8) | ~cowlThing(_u9) | cowlThing(_u8) )).
% 0.20/0.49  cnf(matrix-22, plain, ( ( _u12 != _u11) | ~rr(_u12, _u10) | rr(_u11, _u10) )).
% 0.20/0.49  cnf(matrix-23, plain, ( ( _u15 != _u14) | ~rr(_u13, _u15) | rr(_u13, _u14) )).
% 0.20/0.49  cnf(matrix-24, plain, ( ( _u17 != _u16) | ~xsd_integer(_u17) | xsd_integer(_u16) )).
% 0.20/0.49  cnf(matrix-25, plain, ( ( _u19 != _u18) | ~xsd_string(_u19) | xsd_string(_u18) )).
% 0.20/0.49  cnf(matrix-26, plain, ( cowlThing(_u20) )).
% 0.20/0.49  cnf(matrix-27, plain, ( ~cowlNothing(_u20) )).
% 0.20/0.49  cnf(matrix-28, plain, ( ~xsd_string(_u21) | ~xsd_integer(_u21) )).
% 0.20/0.49  cnf(matrix-29, plain, ( xsd_integer(_u21) | xsd_string(_u21) )).
% 0.20/0.49  cnf(matrix-30, plain, ( ~cUnsatisfiable(_u30) | ~_def0(_u30, _u24, _u25) )).
% 0.20/0.49  cnf(matrix-31, plain, ( ~rr(_u30, _u26) | ~cc(_u26) | ~rr(_u30, _u27) | ~cd(_u27) | ~_def1(_u30) | cUnsatisfiable(_u30) )).
% 0.20/0.49  cnf(matrix-32, plain, ( _def0(_u30, _u24, _u25) | rr(_u30, skolem1(_u30)) )).
% 0.20/0.49  cnf(matrix-33, plain, ( _def0(_u30, _u24, _u25) | cc(skolem1(_u30)) )).
% 0.20/0.49  cnf(matrix-34, plain, ( _def0(_u30, _u24, _u25) | rr(_u30, skolem2(_u30)) )).
% 0.20/0.49  cnf(matrix-35, plain, ( _def0(_u30, _u24, _u25) | cd(skolem2(_u30)) )).
% 0.20/0.49  cnf(matrix-36, plain, ( _def0(_u30, _u24, _u25) | ~rr(_u30, _u25) | ~rr(_u30, _u24) | ( _u25 = _u24) )).
% 0.20/0.49  cnf(matrix-37, plain, ( _def1(_u30) | rr(_u30, skolem3(_u30)) )).
% 0.20/0.49  cnf(matrix-38, plain, ( _def1(_u30) | rr(_u30, skolem4(_u30)) )).
% 0.20/0.49  cnf(matrix-39, plain, ( _def1(_u30) | ( skolem3(_u30) != skolem4(_u30)) )).
% 0.20/0.49  cnf(matrix-40, plain, ( ~cc(_u31) | ~cd(_u31) )).
% 0.20/0.49  cnf(matrix-41, plain, ( cUnsatisfiable(i2003_11_14_17_20_18265) )).
% 0.20/0.49  
% 0.20/0.49  % Proof stack:
% 0.20/0.49  cnf(proof-stack, plain, 
% 0.20/0.49  proof_stack(
% 0.20/0.49  start(30), 
% 0.20/0.49  left_branch(0, 41, 0, 2), 
% 0.20/0.49  right_branch(2), 
% 0.20/0.49  left_branch(0, 36, 0, 3), 
% 0.20/0.49  left_branch(0, 19, 0, 4), 
% 0.20/0.49  left_branch(0, 40, 1, 5), 
% 0.20/0.49  left_branch(0, 33, 1, 6), 
% 0.20/0.49  reduction(0, 0), 
% 0.20/0.49  right_branch(6), 
% 0.20/0.49  right_branch(5), 
% 0.20/0.49  left_branch(0, 35, 1, 6), 
% 0.20/0.49  reduction(0, 0), 
% 0.20/0.49  right_branch(6), 
% 0.20/0.49  right_branch(4), 
% 0.20/0.49  left_branch(0, 32, 1, 5), 
% 0.20/0.49  reduction(0, 0), 
% 0.20/0.49  right_branch(5), 
% 0.20/0.49  left_branch(0, 34, 1, 6), 
% 0.20/0.49  reduction(0, 0), 
% 0.20/0.49  right_branch(6), 
% 0.20/0.49  right_branch(3)
% 0.20/0.49  )).
% 0.20/0.49  % SZS output end Proof for theBenchmark
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