TSTP Solution File: RNG001-2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : RNG001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n018.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 1.25s 0.60s
% Output   : Proof 1.25s
% 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',theorem)]) ).

cnf(g1,plain,
    product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication)]) ).

cnf(g2,plain,
    sum(a,additive_identity,a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2)]) ).

cnf(g3,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2)]) ).

cnf(g4,plain,
    sum(additive_inverse(multiply(additive_identity,additive_identity)),multiply(additive_identity,additive_identity),additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1)]) ).

cnf(g5,plain,
    sum(additive_identity,a,a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1)]) ).

cnf(g6,plain,
    ( ~ sum(additive_identity,multiply(additive_identity,additive_identity),additive_identity)
    | sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition)]) ).

cnf(g7,plain,
    sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1)]) ).

cnf(g8,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ sum(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,multiply(additive_identity,additive_identity))
    | product(additive_identity,additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2)]) ).

cnf(g9,plain,
    sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2)]) ).

cnf(g10,plain,
    ( ~ sum(additive_identity,a,a)
    | ~ sum(a,additive_identity,add(a,additive_identity))
    | ~ sum(a,additive_identity,a)
    | sum(additive_identity,add(a,additive_identity),a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1)]) ).

cnf(g11,plain,
    sum(a,additive_identity,add(a,additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition)]) ).

cnf(g12,plain,
    product(add(a,additive_identity),additive_identity,multiply(add(a,additive_identity),additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication)]) ).

cnf(g13,plain,
    ( ~ sum(additive_identity,add(a,additive_identity),a)
    | ~ sum(additive_identity,multiply(add(a,additive_identity),additive_identity),additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity)
    | ~ product(add(a,additive_identity),additive_identity,multiply(add(a,additive_identity),additive_identity))
    | product(a,additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4)]) ).

cnf(g14,plain,
    sum(additive_inverse(multiply(additive_identity,additive_identity)),additive_identity,add(additive_inverse(multiply(additive_identity,additive_identity)),additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition)]) ).

cnf(g15,plain,
    ( ~ sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity))
    | ~ sum(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
    | ~ sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
    | sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1)]) ).

cnf(g16,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ product(additive_identity,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,additive_identity),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1)]) ).

cnf(g17,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ sum(additive_identity,multiply(additive_identity,additive_identity),additive_identity)
    | ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | sum(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1)]) ).

cnf(g18,plain,
    ( ~ sum(add(additive_inverse(multiply(additive_identity,additive_identity)),additive_identity),multiply(additive_identity,additive_identity),additive_identity)
    | ~ sum(add(additive_inverse(multiply(additive_identity,additive_identity)),additive_identity),multiply(additive_identity,additive_identity),additive_identity)
    | ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | sum(additive_identity,multiply(additive_identity,additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2)]) ).

cnf(g19,plain,
    ( ~ sum(additive_inverse(multiply(additive_identity,additive_identity)),additive_identity,add(additive_inverse(multiply(additive_identity,additive_identity)),additive_identity))
    | ~ sum(additive_inverse(multiply(additive_identity,additive_identity)),multiply(additive_identity,additive_identity),additive_identity)
    | ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | sum(add(additive_inverse(multiply(additive_identity,additive_identity)),additive_identity),multiply(additive_identity,additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2)]) ).

cnf(g20,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ product(add(a,additive_identity),additive_identity,multiply(add(a,additive_identity),additive_identity))
    | ~ product(add(a,additive_identity),additive_identity,multiply(add(a,additive_identity),additive_identity))
    | ~ product(add(a,additive_identity),additive_identity,multiply(add(a,additive_identity),additive_identity))
    | sum(multiply(add(a,additive_identity),additive_identity),multiply(add(a,additive_identity),additive_identity),multiply(add(a,additive_identity),additive_identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1)]) ).

cnf(g21,plain,
    sum(additive_inverse(add(a,additive_identity)),add(a,additive_identity),additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1)]) ).

cnf(g22,plain,
    ( ~ sum(multiply(additive_inverse(add(a,additive_identity)),additive_identity),multiply(add(a,additive_identity),additive_identity),additive_identity)
    | ~ sum(multiply(additive_inverse(add(a,additive_identity)),additive_identity),multiply(add(a,additive_identity),additive_identity),additive_identity)
    | ~ sum(multiply(add(a,additive_identity),additive_identity),multiply(add(a,additive_identity),additive_identity),multiply(add(a,additive_identity),additive_identity))
    | sum(additive_identity,multiply(add(a,additive_identity),additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2)]) ).

cnf(g23,plain,
    ( ~ sum(additive_inverse(add(a,additive_identity)),add(a,additive_identity),additive_identity)
    | ~ product(additive_inverse(add(a,additive_identity)),additive_identity,multiply(additive_inverse(add(a,additive_identity)),additive_identity))
    | ~ product(add(a,additive_identity),additive_identity,multiply(add(a,additive_identity),additive_identity))
    | ~ product(additive_identity,additive_identity,additive_identity)
    | sum(multiply(additive_inverse(add(a,additive_identity)),additive_identity),multiply(add(a,additive_identity),additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3)]) ).

cnf(g24,plain,
    product(additive_inverse(add(a,additive_identity)),additive_identity,multiply(additive_inverse(add(a,additive_identity)),additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : RNG001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : satcop --statistics %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon May 30 11:00:12 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.25/0.60  % symbols: 10
% 1.25/0.60  % clauses: 18
% 1.25/0.60  % start clauses: 1
% 1.25/0.60  % iterative deepening steps: 1182
% 1.25/0.60  % maximum path limit: 4
% 1.25/0.60  % literal attempts: 284888
% 1.25/0.60  % depth failures: 201830
% 1.25/0.60  % regularity failures: 1627
% 1.25/0.60  % tautology failures: 1183
% 1.25/0.60  % reductions: 0
% 1.25/0.60  % extensions: 283755
% 1.25/0.60  % SAT variables: 18484
% 1.25/0.60  % SAT clauses: 51003
% 1.25/0.60  % WalkSAT solutions: 51001
% 1.25/0.60  % CDCL solutions: 0
% 1.25/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.25/0.60  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------