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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n023.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 14:05:38 EDT 2022

% Result   : Theorem 10.45s 1.64s
% Output   : Proof 10.45s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    sPE(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))),zero_zero(int)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).

cnf(g1,plain,
    ( ~ sPE(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))),zero_zero(int))
    | ~ power(int)
    | ~ mult_zero(int)
    | ~ no_zero_divisors(int)
    | ~ zero_neq_one(int)
    | sPE(ti(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),zero_zero(int)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_power__eq__0__iff__number__of)]) ).

cnf(g2,plain,
    mult_zero(int),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Omult__zero)]) ).

cnf(g3,plain,
    power(int),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Power_Opower)]) ).

cnf(g4,plain,
    no_zero_divisors(int),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ono__zero__divisors)]) ).

cnf(g5,plain,
    zero_neq_one(int),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ozero__neq__one)]) ).

cnf(g6,plain,
    sPE(int,int),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ~ ord_less(int,pls,zero_zero(int)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_bin__less__0__simps_I1_J)]) ).

cnf(g8,plain,
    linordered_idom(int),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Olinordered__idom)]) ).

cnf(g9,plain,
    sPE(pls,zero_zero(int)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_Pls__def)]) ).

cnf(g10,plain,
    ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos)]) ).

cnf(g11,plain,
    ( ~ sPE(pls,zero_zero(int))
    | sPE(zero_zero(int),pls) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(int,int)
    | ~ sPE(zero_zero(int),pls)
    | ~ sPE(ti(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),zero_zero(int))
    | ~ ord_less(int,zero_zero(int),ti(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n))))
    | ord_less(int,pls,zero_zero(int)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ linordered_idom(int)
    | ~ ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))
    | ord_less(int,zero_zero(int),ti(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Orderings_Oord__class_Oless_0_arg2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.12  % Command  : satcop --statistics %s
% 0.11/0.31  % Computer : n023.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Wed Jul  6 17:38:26 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 10.45/1.64  % symbols: 31
% 10.45/1.64  % clauses: 225
% 10.45/1.64  % start clauses: 1
% 10.45/1.64  % iterative deepening steps: 1956
% 10.45/1.64  % maximum path limit: 4
% 10.45/1.64  % literal attempts: 1786363
% 10.45/1.64  % depth failures: 1631747
% 10.45/1.64  % regularity failures: 27959
% 10.45/1.64  % tautology failures: 9458
% 10.45/1.64  % reductions: 30729
% 10.45/1.64  % extensions: 1755547
% 10.45/1.64  % SAT variables: 456908
% 10.45/1.64  % SAT clauses: 459858
% 10.45/1.64  % WalkSAT solutions: 459850
% 10.45/1.64  % CDCL solutions: 6
% 10.45/1.64  % SZS status Theorem for theBenchmark
% 10.45/1.64  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------