%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n021.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 : Thu Jul 14 23:48:43 EDT 2022

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(inverse(inverse(x)),x),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_an_involution)]) ).

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

cnf(g2,plain,
    product(inverse(inverse(x)),multiplicative_identity,inverse(inverse(x))),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_identity2)]) ).

cnf(g3,plain,
    sum(inverse(inverse(x)),multiply(inverse(inverse(x)),x),inverse(inverse(x))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_and_multiply)]) ).

cnf(g4,plain,
    product(multiply(inverse(inverse(x)),x),multiplicative_identity,multiply(inverse(inverse(x)),x)),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_identity2)]) ).

cnf(g5,plain,
    ( ~ sum(inverse(inverse(x)),multiply(inverse(inverse(x)),x),x)
    | ~ sum(inverse(inverse(x)),multiply(inverse(inverse(x)),x),inverse(inverse(x)))
    | sPE(x,inverse(inverse(x))) ),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',addition_is_well_defined)]) ).

cnf(g6,plain,
    product(inverse(inverse(x)),x,multiply(inverse(inverse(x)),x)),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',closure_of_multiplication)]) ).

cnf(g7,plain,
    product(x,inverse(x),additive_identity),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_inverse2)]) ).

cnf(g8,plain,
    product(x,multiplicative_identity,x),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_identity2)]) ).

cnf(g9,plain,
    ( ~ sum(inverse(inverse(x)),multiply(inverse(inverse(x)),x),inverse(inverse(x)))
    | ~ product(inverse(inverse(x)),multiplicative_identity,inverse(inverse(x)))
    | ~ product(multiply(inverse(inverse(x)),x),multiplicative_identity,multiply(inverse(inverse(x)),x))
    | ~ product(inverse(inverse(x)),multiplicative_identity,x)
    | sum(inverse(inverse(x)),multiply(inverse(inverse(x)),x),x) ),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity3)]) ).

cnf(g10,plain,
    sum(inverse(x),x,multiplicative_identity),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',additive_inverse1)]) ).

cnf(g11,plain,
    product(inverse(inverse(x)),inverse(x),additive_identity),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_inverse1)]) ).

cnf(g12,plain,
    sum(inverse(x),inverse(inverse(x)),multiplicative_identity),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',additive_inverse2)]) ).

cnf(g13,plain,
    ( ~ sum(inverse(x),x,multiplicative_identity)
    | ~ sum(additive_identity,multiply(inverse(inverse(x)),x),x)
    | ~ product(inverse(inverse(x)),inverse(x),additive_identity)
    | ~ product(inverse(inverse(x)),x,multiply(inverse(inverse(x)),x))
    | product(inverse(inverse(x)),multiplicative_identity,x) ),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity2)]) ).

cnf(g14,plain,
    ( ~ sum(inverse(x),inverse(inverse(x)),multiplicative_identity)
    | ~ product(x,inverse(x),additive_identity)
    | ~ product(x,inverse(inverse(x)),multiply(inverse(inverse(x)),x))
    | ~ product(x,multiplicative_identity,x)
    | sum(additive_identity,multiply(inverse(inverse(x)),x),x) ),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity1)]) ).

cnf(g15,plain,
    ( ~ product(inverse(inverse(x)),x,multiply(inverse(inverse(x)),x))
    | product(x,inverse(inverse(x)),multiply(inverse(inverse(x)),x)) ),
    inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',commutativity_of_multiplication)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.14  % Command  : satcop --statistics %s
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Wed Jun  1 16:22:30 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.49  % symbols: 10
% 0.21/0.49  % clauses: 43
% 0.21/0.49  % start clauses: 1
% 0.21/0.49  % iterative deepening steps: 379
% 0.21/0.49  % maximum path limit: 3
% 0.21/0.49  % literal attempts: 92909
% 0.21/0.49  % depth failures: 71583
% 0.21/0.49  % regularity failures: 1411
% 0.21/0.49  % tautology failures: 2457
% 0.21/0.49  % reductions: 0
% 0.21/0.49  % extensions: 92589
% 0.21/0.49  % SAT variables: 12482
% 0.21/0.49  % SAT clauses: 31047
% 0.21/0.49  % WalkSAT solutions: 31044
% 0.21/0.49  % CDCL solutions: 0
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------