TSTP Solution File: BOO003-4 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n026.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 23:48:40 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

cnf(g2,plain,
    sPE(add(a,additive_identity),a),
    inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',additive_id1)]) ).

cnf(g3,plain,
    sPE(multiply(a,a),multiply(a,a)),
    inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',commutativity_of_multiply)]) ).

cnf(g4,plain,
    sPE(multiply(a,multiplicative_identity),a),
    inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',multiplicative_id1)]) ).

cnf(g5,plain,
    ( ~ sPE(add(a,additive_identity),a)
    | sPE(a,add(a,additive_identity)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(add(multiply(a,a),additive_identity),multiply(a,a)),
    inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',additive_id1)]) ).

cnf(g7,plain,
    ( ~ sPE(a,add(a,additive_identity))
    | ~ sPE(add(a,additive_identity),multiply(a,a))
    | sPE(a,multiply(a,a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(add(a,additive_identity),add(multiply(a,a),additive_identity))
    | ~ sPE(add(multiply(a,a),additive_identity),multiply(a,a))
    | sPE(add(a,additive_identity),multiply(a,a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(add(a,additive_identity),a)
    | ~ sPE(a,add(multiply(a,a),additive_identity))
    | sPE(add(a,additive_identity),add(multiply(a,a),additive_identity)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(a,a),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    sPE(multiply(a,inverse(a)),additive_identity),
    inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',multiplicative_inverse1)]) ).

cnf(g12,plain,
    ( ~ sPE(a,add(multiply(a,a),multiply(a,inverse(a))))
    | ~ sPE(add(multiply(a,a),multiply(a,inverse(a))),add(multiply(a,a),additive_identity))
    | sPE(a,add(multiply(a,a),additive_identity)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(multiply(a,a),multiply(a,a))
    | ~ sPE(multiply(a,inverse(a)),additive_identity)
    | sPE(add(multiply(a,a),multiply(a,inverse(a))),add(multiply(a,a),additive_identity)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    sPE(add(a,inverse(a)),multiplicative_identity),
    inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',additive_inverse1)]) ).

cnf(g15,plain,
    ( ~ sPE(a,multiply(a,add(a,inverse(a))))
    | ~ sPE(multiply(a,add(a,inverse(a))),add(multiply(a,a),multiply(a,inverse(a))))
    | sPE(a,add(multiply(a,a),multiply(a,inverse(a)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    sPE(multiply(a,add(a,inverse(a))),add(multiply(a,a),multiply(a,inverse(a)))),
    inference(ground_cnf,[],[file('Axioms/BOO004-0.ax',distributivity2)]) ).

cnf(g17,plain,
    ( ~ sPE(multiply(a,add(a,inverse(a))),a)
    | sPE(a,multiply(a,add(a,inverse(a)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(multiply(a,add(a,inverse(a))),multiply(a,multiplicative_identity))
    | ~ sPE(multiply(a,multiplicative_identity),a)
    | sPE(multiply(a,add(a,inverse(a))),a) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(a,a)
    | ~ sPE(add(a,inverse(a)),multiplicative_identity)
    | sPE(multiply(a,add(a,inverse(a))),multiply(a,multiplicative_identity)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 18:48:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.42  % symbols: 8
% 0.19/0.42  % clauses: 15
% 0.19/0.42  % start clauses: 1
% 0.19/0.42  % iterative deepening steps: 324
% 0.19/0.42  % maximum path limit: 12
% 0.19/0.42  % literal attempts: 18102
% 0.19/0.42  % depth failures: 4635
% 0.19/0.42  % regularity failures: 2318
% 0.19/0.42  % tautology failures: 1773
% 0.19/0.42  % reductions: 0
% 0.19/0.42  % extensions: 17989
% 0.19/0.42  % SAT variables: 9597
% 0.19/0.42  % SAT clauses: 15364
% 0.19/0.42  % WalkSAT solutions: 15363
% 0.19/0.42  % CDCL solutions: 0
% 0.19/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.42  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------