TSTP Solution File: FLD074-3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : FLD074-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n022.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 : Sat Jul 16 02:26:45 EDT 2022

% Result   : Unsatisfiable 89.29s 11.56s
% Output   : Proof 89.29s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    less_or_equal(a,b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4)]) ).

cnf(g1,plain,
    less_or_equal(additive_identity,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5)]) ).

cnf(g2,plain,
    ~ less_or_equal(multiply(a,c),multiply(b,c)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_6)]) ).

cnf(g3,plain,
    ( ~ defined(a)
    | ~ defined(c)
    | defined(multiply(a,c)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).

cnf(g4,plain,
    ( ~ defined(multiply(a,c))
    | sum(additive_identity,multiply(a,c),multiply(a,c)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).

cnf(g5,plain,
    defined(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).

cnf(g6,plain,
    defined(b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).

cnf(g7,plain,
    defined(c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined)]) ).

cnf(g8,plain,
    ( ~ defined(b)
    | ~ defined(c)
    | product(b,c,multiply(b,c)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).

cnf(g9,plain,
    ( ~ defined(a)
    | ~ defined(c)
    | product(a,c,multiply(a,c)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).

cnf(g10,plain,
    ( ~ defined(b)
    | sum(additive_identity,b,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).

cnf(g11,plain,
    ( ~ sum(additive_identity,b,b)
    | sum(b,additive_identity,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).

cnf(g12,plain,
    ( ~ defined(a)
    | sum(additive_inverse(a),a,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).

cnf(g13,plain,
    ( ~ sum(additive_inverse(a),a,additive_identity)
    | sum(a,additive_inverse(a),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).

cnf(g14,plain,
    ( ~ sum(a,additive_inverse(a),additive_identity)
    | ~ sum(b,additive_inverse(a),add(b,additive_inverse(a)))
    | ~ less_or_equal(a,b)
    | less_or_equal(additive_identity,add(b,additive_inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).

cnf(g15,plain,
    ( ~ defined(b)
    | ~ defined(additive_inverse(a))
    | sum(b,additive_inverse(a),add(b,additive_inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).

cnf(g16,plain,
    ( ~ defined(a)
    | defined(additive_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).

cnf(g17,plain,
    ( ~ defined(b)
    | ~ defined(additive_inverse(a))
    | defined(add(b,additive_inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_addition)]) ).

cnf(g18,plain,
    ( ~ sum(b,additive_inverse(a),add(b,additive_inverse(a)))
    | ~ sum(b,additive_identity,b)
    | ~ sum(additive_inverse(a),a,additive_identity)
    | sum(add(b,additive_inverse(a)),a,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).

cnf(g19,plain,
    ( ~ sum(additive_identity,multiply(a,c),multiply(a,c))
    | ~ sum(multiply(c,add(b,additive_inverse(a))),multiply(a,c),multiply(b,c))
    | ~ less_or_equal(additive_identity,multiply(c,add(b,additive_inverse(a))))
    | less_or_equal(multiply(a,c),multiply(b,c)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).

cnf(g20,plain,
    ( ~ sum(add(b,additive_inverse(a)),a,b)
    | ~ product(add(b,additive_inverse(a)),c,multiply(c,add(b,additive_inverse(a))))
    | ~ product(a,c,multiply(a,c))
    | ~ product(b,c,multiply(b,c))
    | sum(multiply(c,add(b,additive_inverse(a))),multiply(a,c),multiply(b,c)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).

cnf(g21,plain,
    ( ~ product(c,add(b,additive_inverse(a)),multiply(c,add(b,additive_inverse(a))))
    | product(add(b,additive_inverse(a)),c,multiply(c,add(b,additive_inverse(a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

cnf(g22,plain,
    ( ~ defined(c)
    | ~ defined(add(b,additive_inverse(a)))
    | product(c,add(b,additive_inverse(a)),multiply(c,add(b,additive_inverse(a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).

cnf(g23,plain,
    ( ~ product(c,add(b,additive_inverse(a)),multiply(c,add(b,additive_inverse(a))))
    | ~ less_or_equal(additive_identity,c)
    | ~ less_or_equal(additive_identity,add(b,additive_inverse(a)))
    | less_or_equal(additive_identity,multiply(c,add(b,additive_inverse(a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : FLD074-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.32  % Computer : n022.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Mon Jun  6 21:54:50 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 89.29/11.56  % symbols: 15
% 89.29/11.56  % clauses: 32
% 89.29/11.56  % start clauses: 3
% 89.29/11.56  % iterative deepening steps: 8037
% 89.29/11.56  % maximum path limit: 5
% 89.29/11.56  % literal attempts: 12292956
% 89.29/11.56  % depth failures: 7618059
% 89.29/11.56  % regularity failures: 620493
% 89.29/11.56  % tautology failures: 1457354
% 89.29/11.56  % reductions: 1300479
% 89.29/11.56  % extensions: 10987682
% 89.29/11.56  % SAT variables: 976272
% 89.29/11.56  % SAT clauses: 2279816
% 89.29/11.56  % WalkSAT solutions: 2279609
% 89.29/11.56  % CDCL solutions: 203
% 89.29/11.56  % SZS status Unsatisfiable for theBenchmark
% 89.29/11.56  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------