%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : RNG004-2 : 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 : Mon Jul 18 20:40:10 EDT 2022

% Result   : Unsatisfiable 23.34s 3.38s
% Output   : Proof 23.34s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

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

cnf(g3,plain,
    product(additive_inverse(a),additive_inverse(b),d),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b_inverse)]) ).

cnf(g4,plain,
    sum(c,additive_identity,c),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity2)]) ).

cnf(g5,plain,
    product(a,b,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b)]) ).

cnf(g6,plain,
    sum(c,c,add(c,c)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_addition)]) ).

cnf(g7,plain,
    ( ~ sum(c,c,add(c,c))
    | ~ sum(c,c,add(c,c))
    | sPE(c,c) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation1)]) ).

cnf(g8,plain,
    product(a,b,multiply(a,b)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).

cnf(g9,plain,
    sPE(b,b),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g11,plain,
    sum(additive_identity,additive_inverse(b),additive_inverse(b)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).

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

cnf(g13,plain,
    product(additive_identity,b,multiply(additive_identity,b)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).

cnf(g14,plain,
    product(additive_inverse(a),b,multiply(additive_inverse(a),b)),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).

cnf(g15,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',left_inverse)]) ).

cnf(g16,plain,
    sum(additive_inverse(b),b,additive_identity),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',left_inverse)]) ).

cnf(g17,plain,
    sum(additive_identity,a,a),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).

cnf(g18,plain,
    ( ~ sum(additive_identity,a,a)
    | ~ product(additive_identity,b,multiply(additive_identity,b))
    | ~ product(a,b,c)
    | ~ product(a,b,c)
    | sum(multiply(additive_identity,b),c,c) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity3)]) ).

cnf(g19,plain,
    ( ~ sum(c,multiply(additive_inverse(a),additive_identity),c)
    | sum(multiply(additive_inverse(a),additive_identity),c,c) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',commutativity_of_addition)]) ).

cnf(g20,plain,
    sum(additive_inverse(a),additive_inverse(additive_inverse(a)),additive_identity),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',right_inverse)]) ).

cnf(g21,plain,
    ( ~ sum(additive_inverse(b),b,additive_identity)
    | ~ product(additive_inverse(a),additive_inverse(b),d)
    | ~ product(additive_inverse(a),b,multiply(additive_inverse(a),b))
    | ~ product(additive_inverse(a),additive_identity,multiply(additive_inverse(a),additive_identity))
    | sum(d,multiply(additive_inverse(a),b),multiply(additive_inverse(a),additive_identity)) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).

cnf(g22,plain,
    sum(additive_inverse(additive_inverse(a)),additive_inverse(a),additive_identity),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',left_inverse)]) ).

cnf(g23,plain,
    ( ~ sum(additive_identity,additive_inverse(b),additive_inverse(b))
    | ~ product(additive_inverse(a),additive_identity,multiply(additive_inverse(a),additive_identity))
    | ~ product(additive_inverse(a),additive_inverse(b),d)
    | ~ product(additive_inverse(a),additive_inverse(b),d)
    | sum(multiply(additive_inverse(a),additive_identity),d,d) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).

cnf(g24,plain,
    ( ~ product(a,b,multiply(a,b))
    | ~ product(a,b,c)
    | sPE(multiply(a,b),c) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',multiplication_is_well_defined)]) ).

cnf(g25,plain,
    ( ~ sPE(c,c)
    | ~ sPE(additive_identity,multiply(additive_inverse(a),additive_identity))
    | ~ sPE(c,c)
    | ~ sum(c,additive_identity,c)
    | sum(c,multiply(additive_inverse(a),additive_identity),c) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sum(d,multiply(additive_inverse(a),b),multiply(additive_inverse(a),additive_identity))
    | ~ sum(c,multiply(additive_inverse(a),b),multiply(additive_inverse(a),additive_identity))
    | sPE(d,c) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation2)]) ).

cnf(g27,plain,
    ( ~ sum(additive_inverse(a),a,additive_identity)
    | ~ sum(additive_inverse(a),additive_inverse(additive_inverse(a)),additive_identity)
    | sPE(a,additive_inverse(additive_inverse(a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation1)]) ).

cnf(g28,plain,
    ( ~ sum(additive_identity,d,d)
    | ~ sum(multiply(additive_inverse(a),additive_identity),d,d)
    | sPE(additive_identity,multiply(additive_inverse(a),additive_identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation2)]) ).

cnf(g29,plain,
    ( ~ sPE(additive_identity,additive_identity)
    | ~ sPE(b,b)
    | ~ sPE(multiply(additive_identity,b),multiply(additive_inverse(a),additive_identity))
    | ~ product(additive_identity,b,multiply(additive_identity,b))
    | product(additive_identity,b,multiply(additive_inverse(a),additive_identity)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    ( ~ sum(multiply(additive_identity,b),c,c)
    | ~ sum(multiply(additive_inverse(a),additive_identity),c,c)
    | sPE(multiply(additive_identity,b),multiply(additive_inverse(a),additive_identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation2)]) ).

cnf(g31,plain,
    ( ~ sPE(a,additive_inverse(additive_inverse(a)))
    | ~ sPE(b,b)
    | ~ sPE(multiply(a,b),c)
    | ~ product(a,b,multiply(a,b))
    | product(additive_inverse(additive_inverse(a)),b,c) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    ( ~ sum(additive_inverse(additive_inverse(a)),additive_inverse(a),additive_identity)
    | ~ product(additive_inverse(additive_inverse(a)),b,c)
    | ~ product(additive_inverse(a),b,multiply(additive_inverse(a),b))
    | ~ product(additive_identity,b,multiply(additive_inverse(a),additive_identity))
    | sum(c,multiply(additive_inverse(a),b),multiply(additive_inverse(a),additive_identity)) ),
    inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity3)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n024.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon May 30 22:19:21 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 23.34/3.38  % symbols: 12
% 23.34/3.38  % clauses: 30
% 23.34/3.38  % start clauses: 1
% 23.34/3.38  % iterative deepening steps: 2360
% 23.34/3.38  % maximum path limit: 6
% 23.34/3.38  % literal attempts: 3025600
% 23.34/3.38  % depth failures: 2205188
% 23.34/3.38  % regularity failures: 32857
% 23.34/3.38  % tautology failures: 53279
% 23.34/3.38  % reductions: 0
% 23.34/3.38  % extensions: 3025049
% 23.34/3.38  % SAT variables: 416098
% 23.34/3.38  % SAT clauses: 1120767
% 23.34/3.38  % WalkSAT solutions: 1120769
% 23.34/3.38  % CDCL solutions: 0
% 23.34/3.38  % SZS status Unsatisfiable for theBenchmark
% 23.34/3.38  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------