TSTP Solution File: LCL161-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n024.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 14:13:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    sPE(implies(truth,x),xor(truth,and_star(truth,xor(truth,x)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition)]) ).

cnf(g2,plain,
    sPE(and_star(x,truth),x),
    inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_4)]) ).

cnf(g3,plain,
    sPE(xor(x,falsehood),x),
    inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_2)]) ).

cnf(g4,plain,
    ( ~ sPE(x,and_star(x,truth))
    | ~ sPE(and_star(x,truth),x)
    | sPE(x,x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    sPE(truth,truth),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(xor(and_star(truth,xor(truth,x)),truth),xor(truth,and_star(truth,xor(truth,x)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity)]) ).

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

cnf(g8,plain,
    ( ~ sPE(implies(truth,x),xor(truth,and_star(truth,xor(truth,x))))
    | sPE(xor(truth,and_star(truth,xor(truth,x))),implies(truth,x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    sPE(and_star(truth,xor(truth,x)),and_star(xor(truth,x),truth)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_commutativity)]) ).

cnf(g10,plain,
    sPE(and_star(xor(truth,x),truth),xor(truth,x)),
    inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_4)]) ).

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

cnf(g12,plain,
    ( ~ sPE(implies(truth,x),xor(and_star(xor(truth,x),truth),truth))
    | ~ sPE(xor(and_star(xor(truth,x),truth),truth),x)
    | sPE(implies(truth,x),x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(and_star(truth,xor(truth,x)),and_star(xor(truth,x),truth))
    | ~ sPE(truth,truth)
    | sPE(xor(and_star(truth,xor(truth,x)),truth),xor(and_star(xor(truth,x),truth),truth)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    sPE(xor(and_star(xor(truth,x),truth),truth),xor(truth,and_star(xor(truth,x),truth))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity)]) ).

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

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

cnf(g17,plain,
    ( ~ sPE(xor(and_star(xor(truth,x),truth),truth),xor(truth,and_star(xor(truth,x),truth)))
    | ~ sPE(xor(truth,and_star(xor(truth,x),truth)),xor(truth,xor(truth,x)))
    | sPE(xor(and_star(xor(truth,x),truth),truth),xor(truth,xor(truth,x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(truth,truth)
    | ~ sPE(and_star(xor(truth,x),truth),xor(truth,x))
    | sPE(xor(truth,and_star(xor(truth,x),truth)),xor(truth,xor(truth,x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    sPE(xor(truth,truth),falsehood),
    inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_3)]) ).

cnf(g20,plain,
    sPE(xor(truth,xor(truth,x)),xor(xor(truth,truth),x)),
    inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_7)]) ).

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

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

cnf(g23,plain,
    sPE(xor(xor(truth,truth),x),xor(x,xor(truth,truth))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity)]) ).

cnf(g24,plain,
    ( ~ sPE(xor(truth,xor(truth,x)),xor(x,falsehood))
    | ~ sPE(xor(x,falsehood),x)
    | sPE(xor(truth,xor(truth,x)),x) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(xor(truth,xor(truth,x)),xor(x,xor(truth,truth)))
    | ~ sPE(xor(x,xor(truth,truth)),xor(x,falsehood))
    | sPE(xor(truth,xor(truth,x)),xor(x,falsehood)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(x,x)
    | ~ sPE(xor(truth,truth),falsehood)
    | sPE(xor(x,xor(truth,truth)),xor(x,falsehood)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul  4 13:38:44 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.55  % symbols: 9
% 0.18/0.55  % clauses: 21
% 0.18/0.55  % start clauses: 1
% 0.18/0.55  % iterative deepening steps: 1591
% 0.18/0.55  % maximum path limit: 7
% 0.18/0.55  % literal attempts: 169064
% 0.18/0.55  % depth failures: 48803
% 0.18/0.55  % regularity failures: 22344
% 0.18/0.55  % tautology failures: 14926
% 0.18/0.55  % reductions: 0
% 0.18/0.55  % extensions: 167509
% 0.18/0.55  % SAT variables: 55781
% 0.18/0.55  % SAT clauses: 93549
% 0.18/0.55  % WalkSAT solutions: 93548
% 0.18/0.55  % CDCL solutions: 0
% 0.18/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.55  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------