TSTP Solution File: RNG001-4 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:40:09 EDT 2022

% Result   : Unsatisfiable 2.51s 0.75s
% Output   : Proof 2.51s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ product(a,additive_identity,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_additive_id_is_additive_id)]) ).

cnf(g1,plain,
    sPE(additive_identity,additive_identity),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).

cnf(g3,plain,
    product(a,additive_identity,multiply(a,additive_identity)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).

cnf(g4,plain,
    product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).

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

cnf(g6,plain,
    sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).

cnf(g7,plain,
    product(multiply(a,additive_identity),additive_identity,multiply(multiply(a,additive_identity),additive_identity)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).

cnf(g8,plain,
    ( ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | ~ product(additive_identity,multiply(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | product(multiply(additive_identity,additive_identity),additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).

cnf(g9,plain,
    product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,additive_identity))),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).

cnf(g10,plain,
    sum(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,additive_identity))),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).

cnf(g11,plain,
    ( ~ sPE(additive_identity,multiply(multiply(a,additive_identity),additive_identity))
    | ~ sPE(additive_identity,additive_identity)
    | ~ sPE(additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity)
    | product(multiply(multiply(a,additive_identity),additive_identity),additive_identity,additive_identity) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sum(multiply(multiply(a,additive_identity),additive_identity),additive_identity,multiply(multiply(a,additive_identity),additive_identity)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity2)]) ).

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

cnf(g14,plain,
    ( ~ sPE(additive_identity,additive_identity)
    | ~ sPE(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | ~ sPE(multiply(additive_identity,multiply(additive_identity,additive_identity)),additive_identity)
    | ~ product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | product(additive_identity,multiply(additive_identity,additive_identity),additive_identity) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ product(a,additive_identity,multiply(a,additive_identity))
    | ~ product(additive_identity,multiply(additive_identity,additive_identity),additive_identity)
    | ~ product(multiply(a,additive_identity),multiply(additive_identity,additive_identity),additive_identity)
    | product(a,additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication1)]) ).

cnf(g16,plain,
    sPE(multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,additive_identity))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | ~ product(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)),additive_identity)
    | ~ product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | product(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).

cnf(g18,plain,
    ( ~ product(multiply(a,additive_identity),additive_identity,multiply(multiply(a,additive_identity),additive_identity))
    | ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | ~ product(multiply(multiply(a,additive_identity),additive_identity),additive_identity,additive_identity)
    | product(multiply(a,additive_identity),multiply(additive_identity,additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication1)]) ).

cnf(g19,plain,
    product(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)))),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).

cnf(g20,plain,
    ( ~ sPE(additive_identity,additive_identity)
    | ~ sPE(multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | ~ sPE(multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))),additive_identity)
    | ~ product(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))))
    | product(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)),additive_identity) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sum(multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | ~ sum(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | sPE(multiply(additive_identity,multiply(additive_identity,additive_identity)),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation2)]) ).

cnf(g22,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | ~ product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | ~ product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | sum(multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,additive_identity))) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity3)]) ).

cnf(g23,plain,
    ( ~ product(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | product(additive_identity,additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).

cnf(g24,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ product(multiply(a,additive_identity),additive_identity,multiply(multiply(a,additive_identity),additive_identity))
    | ~ product(multiply(a,additive_identity),additive_identity,multiply(multiply(a,additive_identity),additive_identity))
    | ~ product(multiply(a,additive_identity),additive_identity,multiply(multiply(a,additive_identity),additive_identity))
    | sum(multiply(multiply(a,additive_identity),additive_identity),multiply(multiply(a,additive_identity),additive_identity),multiply(multiply(a,additive_identity),additive_identity)) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).

cnf(g25,plain,
    ( ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | ~ product(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))))
    | ~ product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | product(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)))) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).

cnf(g26,plain,
    ( ~ product(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))))
    | ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | product(additive_identity,additive_identity,multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity)))) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).

cnf(g27,plain,
    ( ~ sum(multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | sPE(multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation2)]) ).

cnf(g28,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))))
    | ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | sum(multiply(additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).

cnf(g29,plain,
    ( ~ sum(multiply(multiply(a,additive_identity),additive_identity),multiply(multiply(a,additive_identity),additive_identity),multiply(multiply(a,additive_identity),additive_identity))
    | ~ sum(multiply(multiply(a,additive_identity),additive_identity),additive_identity,multiply(multiply(a,additive_identity),additive_identity))
    | sPE(multiply(multiply(a,additive_identity),additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 19:25:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.51/0.75  % symbols: 9
% 2.51/0.75  % clauses: 28
% 2.51/0.75  % start clauses: 1
% 2.51/0.75  % iterative deepening steps: 1322
% 2.51/0.75  % maximum path limit: 4
% 2.51/0.75  % literal attempts: 516176
% 2.51/0.75  % depth failures: 386429
% 2.51/0.75  % regularity failures: 3304
% 2.51/0.75  % tautology failures: 4194
% 2.51/0.75  % reductions: 0
% 2.51/0.75  % extensions: 514913
% 2.51/0.75  % SAT variables: 26794
% 2.51/0.75  % SAT clauses: 81418
% 2.51/0.75  % WalkSAT solutions: 81413
% 2.51/0.75  % CDCL solutions: 3
% 2.51/0.75  % SZS status Unsatisfiable for theBenchmark
% 2.51/0.75  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------