TSTP Solution File: LCL133-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %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  : 600s
% DateTime : Sun Jul 17 14:13:04 EDT 2022

% Result   : Unsatisfiable 7.20s 1.26s
% Output   : Proof 7.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(x,y),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma)]) ).

cnf(g1,plain,
    ( ~ sPE(y,x)
    | sPE(x,y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    sPE(implies(implies(y,y),implies(implies(y,y),implies(y,y))),truth),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_2)]) ).

cnf(g3,plain,
    ( ~ sPE(implies(y,y),y)
    | sPE(y,implies(y,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    sPE(implies(y,truth),implies(truth,y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).

cnf(g5,plain,
    ( ~ sPE(implies(y,truth),implies(truth,y))
    | ~ sPE(implies(truth,y),y)
    | sPE(implies(y,truth),y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(implies(truth,y),y),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).

cnf(g7,plain,
    ( ~ sPE(implies(y,truth),y)
    | sPE(y,implies(y,truth)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(y,truth)
    | sPE(truth,y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(implies(y,y),y)
    | ~ sPE(implies(y,y),y)
    | sPE(implies(implies(y,y),implies(y,y)),implies(y,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(implies(truth,x),x),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).

cnf(g11,plain,
    ( ~ sPE(truth,y)
    | ~ sPE(y,implies(y,truth))
    | sPE(truth,implies(y,truth)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(implies(implies(truth,y),y),implies(implies(y,truth),truth)),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_3)]) ).

cnf(g13,plain,
    sPE(implies(implies(y,truth),truth),implies(truth,implies(y,truth))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).

cnf(g14,plain,
    sPE(implies(truth,implies(y,truth)),implies(y,truth)),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).

cnf(g15,plain,
    ( ~ sPE(implies(y,y),implies(y,truth))
    | ~ sPE(implies(y,truth),implies(truth,y))
    | sPE(implies(y,y),implies(truth,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(implies(truth,implies(truth,x)),implies(truth,x))
    | ~ sPE(implies(truth,x),x)
    | sPE(implies(truth,implies(truth,x)),x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    sPE(implies(truth,implies(truth,x)),implies(truth,x)),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).

cnf(g18,plain,
    sPE(implies(implies(truth,x),truth),implies(truth,implies(truth,x))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).

cnf(g19,plain,
    ( ~ sPE(implies(y,y),implies(truth,y))
    | ~ sPE(implies(truth,y),y)
    | sPE(implies(y,y),y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(implies(implies(y,y),implies(y,y)),y)
    | sPE(y,implies(implies(y,y),implies(y,y))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(implies(truth,y),y)
    | sPE(y,implies(truth,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(y,y)
    | ~ sPE(y,implies(truth,y))
    | sPE(implies(y,y),implies(y,implies(truth,y))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ sPE(y,implies(truth,y))
    | ~ sPE(implies(truth,y),y)
    | sPE(y,y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    sPE(implies(truth,x),implies(truth,x)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(implies(y,implies(truth,y)),implies(implies(y,truth),truth))
    | ~ sPE(implies(implies(y,truth),truth),implies(truth,implies(y,truth)))
    | sPE(implies(y,implies(truth,y)),implies(truth,implies(y,truth))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(implies(y,implies(truth,y)),implies(implies(truth,y),y))
    | ~ sPE(implies(implies(truth,y),y),implies(implies(y,truth),truth))
    | sPE(implies(y,implies(truth,y)),implies(implies(y,truth),truth)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ sPE(implies(implies(truth,y),y),implies(y,implies(truth,y)))
    | sPE(implies(y,implies(truth,y)),implies(implies(truth,y),y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    sPE(implies(implies(truth,y),y),implies(y,implies(truth,y))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).

cnf(g29,plain,
    ( ~ sPE(implies(y,implies(truth,y)),implies(truth,implies(y,truth)))
    | ~ sPE(implies(truth,implies(y,truth)),implies(y,truth))
    | sPE(implies(y,implies(truth,y)),implies(y,truth)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    ( ~ sPE(implies(y,y),implies(y,implies(truth,y)))
    | ~ sPE(implies(y,implies(truth,y)),implies(y,truth))
    | sPE(implies(y,y),implies(y,truth)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    sPE(implies(truth,implies(implies(truth,x),truth)),implies(implies(truth,x),truth)),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).

cnf(g32,plain,
    sPE(implies(implies(implies(truth,x),truth),truth),implies(truth,implies(implies(truth,x),truth))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).

cnf(g33,plain,
    ( ~ sPE(implies(truth,implies(implies(truth,x),truth)),implies(implies(truth,x),truth))
    | ~ sPE(implies(implies(truth,x),truth),implies(truth,implies(truth,x)))
    | sPE(implies(truth,implies(implies(truth,x),truth)),implies(truth,implies(truth,x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    ( ~ sPE(y,implies(y,y))
    | ~ sPE(implies(y,y),truth)
    | sPE(y,truth) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g35,plain,
    ( ~ sPE(implies(y,y),implies(implies(y,y),implies(implies(y,y),implies(y,y))))
    | ~ sPE(implies(implies(y,y),implies(implies(y,y),implies(y,y))),truth)
    | sPE(implies(y,y),truth) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g36,plain,
    ( ~ sPE(y,implies(y,y))
    | ~ sPE(y,implies(implies(y,y),implies(y,y)))
    | sPE(implies(y,y),implies(implies(y,y),implies(implies(y,y),implies(y,y)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g37,plain,
    sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(implies(implies(truth,x),truth),truth)),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_3)]) ).

cnf(g38,plain,
    ( ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(implies(implies(truth,x),truth),truth))
    | ~ sPE(implies(implies(implies(truth,x),truth),truth),implies(truth,implies(implies(truth,x),truth)))
    | sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(truth,implies(implies(truth,x),truth))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g39,plain,
    ( ~ sPE(implies(truth,implies(implies(truth,x),truth)),implies(truth,implies(truth,x)))
    | ~ sPE(implies(truth,implies(truth,x)),x)
    | sPE(implies(truth,implies(implies(truth,x),truth)),x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g40,plain,
    ( ~ sPE(y,truth)
    | ~ sPE(implies(truth,x),implies(truth,x))
    | sPE(implies(y,implies(truth,x)),implies(truth,implies(truth,x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g41,plain,
    ( ~ sPE(implies(implies(y,y),implies(y,y)),implies(y,y))
    | ~ sPE(implies(y,y),y)
    | sPE(implies(implies(y,y),implies(y,y)),y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g42,plain,
    ( ~ sPE(y,implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))))
    | ~ sPE(implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))))
    | sPE(y,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g43,plain,
    sPE(implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).

cnf(g44,plain,
    ( ~ sPE(y,implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))))
    | ~ sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))))
    | sPE(y,implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g45,plain,
    ( ~ sPE(implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))))
    | sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g46,plain,
    ( ~ sPE(truth,implies(y,truth))
    | ~ sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x))))
    | sPE(implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g47,plain,
    sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).

cnf(g48,plain,
    ( ~ sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),y)
    | sPE(y,implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g49,plain,
    ( ~ sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),truth)
    | ~ sPE(truth,y)
    | sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),y) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g50,plain,
    sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),truth),
    inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_2)]) ).

cnf(g51,plain,
    ( ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(truth,implies(implies(truth,x),truth)))
    | ~ sPE(implies(truth,implies(implies(truth,x),truth)),x)
    | sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g52,plain,
    ( ~ sPE(y,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))))
    | ~ sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),x)
    | sPE(y,x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g53,plain,
    ( ~ sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(truth,x)))
    | ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),x)
    | sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g54,plain,
    ( ~ sPE(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))
    | ~ sPE(implies(truth,implies(truth,x)),implies(truth,x))
    | sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(truth,x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : satcop --statistics %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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 11:32:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 7.20/1.26  % symbols: 7
% 7.20/1.26  % clauses: 11
% 7.20/1.26  % start clauses: 2
% 7.20/1.26  % iterative deepening steps: 4020
% 7.20/1.26  % maximum path limit: 8
% 7.20/1.26  % literal attempts: 710497
% 7.20/1.26  % depth failures: 277203
% 7.20/1.26  % regularity failures: 70225
% 7.20/1.26  % tautology failures: 104733
% 7.20/1.26  % reductions: 19439
% 7.20/1.26  % extensions: 687829
% 7.20/1.26  % SAT variables: 283203
% 7.20/1.26  % SAT clauses: 386636
% 7.20/1.26  % WalkSAT solutions: 386627
% 7.20/1.26  % CDCL solutions: 10
% 7.20/1.26  % SZS status Unsatisfiable for theBenchmark
% 7.20/1.26  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------