TSTP Solution File: NUM332+1 by SATCoP---0.1

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUM332+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n007.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 14:00:05 EDT 2022

% Result   : Theorem 123.29s 15.92s
% Output   : Proof 123.29s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    sum(n2,n3,sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum)]) ).

cnf(g1,plain,
    sum(sK0,n6,sK1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum)]) ).

cnf(g2,plain,
    sum(n3,n6,sK2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum)]) ).

cnf(g3,plain,
    sum(n2,sK2,sK3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum)]) ).

cnf(g4,plain,
    ~ sPE(sK1,sK3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum)]) ).

cnf(g5,plain,
    ( ~ sum(sK0,n6,sK1)
    | ~ sum(sK0,n6,sK3)
    | sPE(sK1,sK3) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',unique_sum)]) ).

cnf(g6,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(ground_cnf,[],[file('Axioms/NUM005+0.ax',rdn3)]) ).

cnf(g7,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(ground_cnf,[],[file('Axioms/NUM005+0.ax',rdn2)]) ).

cnf(g8,plain,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    inference(ground_cnf,[],[file('Axioms/NUM005+0.ax',rdn6)]) ).

cnf(g9,plain,
    rdn_translate(n9,rdn_pos(rdnn(n9))),
    inference(ground_cnf,[],[file('Axioms/NUM005+0.ax',rdn9)]) ).

cnf(g10,plain,
    rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
    inference(ground_cnf,[],[file('Axioms/NUM005+0.ax',rdn11)]) ).

cnf(g11,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(ground_cnf,[],[file('Axioms/NUM005+0.ax',rdn5)]) ).

cnf(g12,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0)]) ).

cnf(g13,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',rdn_digit_add_n2_n3_n5_n0)]) ).

cnf(g14,plain,
    sPE(rdn_pos(rdnn(n9)),rdn_pos(rdnn(n9))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0)),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',rdn_digit_add_n3_n6_n9_n0)]) ).

cnf(g16,plain,
    rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',rdn_digit_add_n1_n0_n1_n0)]) ).

cnf(g17,plain,
    ( ~ sum(n2,n3,n5)
    | ~ sum(n2,n3,sK0)
    | sPE(n5,sK0) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',unique_sum)]) ).

cnf(g18,plain,
    ( ~ sPE(n5,sK0)
    | ~ sPE(rdn_pos(rdnn(n5)),rdn_pos(rdnn(n5)))
    | ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
    | rdn_translate(sK0,rdn_pos(rdnn(n5))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    sPE(rdn_pos(rdnn(n5)),rdn_pos(rdnn(n5))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1)),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',rdn_digit_add_n2_n9_n1_n1)]) ).

cnf(g21,plain,
    ( ~ sum(n2,sK2,sK3)
    | ~ sum(n2,sK2,n11)
    | sPE(sK3,n11) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',unique_sum)]) ).

cnf(g22,plain,
    ( ~ sum(n3,n6,n9)
    | ~ sum(n3,n6,sK2)
    | sPE(n9,sK2) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',unique_sum)]) ).

cnf(g23,plain,
    rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1)),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',rdn_digit_add_n5_n6_n1_n1)]) ).

cnf(g24,plain,
    ( ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
    | ~ rdn_translate(n6,rdn_pos(rdnn(n6)))
    | ~ rdn_translate(n9,rdn_pos(rdnn(n9)))
    | ~ rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n6),rdnn(n9))
    | sum(n3,n6,n9) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',sum_entry_point_pos_pos)]) ).

cnf(g25,plain,
    rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0)),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',rdn_digit_add_n9_n0_n9_n0)]) ).

cnf(g26,plain,
    sPE(rdn_pos(rdn(rdnn(n1),rdnn(n1))),rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ rdn_translate(n2,rdn_pos(rdnn(n2)))
    | ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
    | ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
    | ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5))
    | sum(n2,n3,n5) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',sum_entry_point_pos_pos)]) ).

cnf(g28,plain,
    ( ~ rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1))
    | ~ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0))
    | ~ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0))
    | rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n9),rdn(rdnn(n1),rdnn(n1))) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',add_digit_digit_rdn)]) ).

cnf(g29,plain,
    ( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0))
    | ~ rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0))
    | rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',add_digit_digit_digit)]) ).

cnf(g30,plain,
    ( ~ rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1))
    | ~ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0))
    | ~ rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0))
    | rdn_add_with_carry(rdnn(n0),rdnn(n5),rdnn(n6),rdn(rdnn(n1),rdnn(n1))) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',add_digit_digit_rdn)]) ).

cnf(g31,plain,
    ( ~ rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0))
    | ~ rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0))
    | rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n6),rdnn(n9)) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',add_digit_digit_digit)]) ).

cnf(g32,plain,
    ( ~ sPE(n11,sK3)
    | ~ sPE(rdn_pos(rdn(rdnn(n1),rdnn(n1))),rdn_pos(rdn(rdnn(n1),rdnn(n1))))
    | ~ rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1))))
    | rdn_translate(sK3,rdn_pos(rdn(rdnn(n1),rdnn(n1)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ sPE(sK3,n11)
    | sPE(n11,sK3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    ( ~ sPE(n9,sK2)
    | ~ sPE(rdn_pos(rdnn(n9)),rdn_pos(rdnn(n9)))
    | ~ rdn_translate(n9,rdn_pos(rdnn(n9)))
    | rdn_translate(sK2,rdn_pos(rdnn(n9))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g35,plain,
    ( ~ rdn_translate(sK0,rdn_pos(rdnn(n5)))
    | ~ rdn_translate(n6,rdn_pos(rdnn(n6)))
    | ~ rdn_translate(sK3,rdn_pos(rdn(rdnn(n1),rdnn(n1))))
    | ~ rdn_add_with_carry(rdnn(n0),rdnn(n5),rdnn(n6),rdn(rdnn(n1),rdnn(n1)))
    | sum(sK0,n6,sK3) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',sum_entry_point_pos_pos)]) ).

cnf(g36,plain,
    ( ~ rdn_translate(n2,rdn_pos(rdnn(n2)))
    | ~ rdn_translate(sK2,rdn_pos(rdnn(n9)))
    | ~ rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1))))
    | ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n9),rdn(rdnn(n1),rdnn(n1)))
    | sum(n2,sK2,n11) ),
    inference(ground_cnf,[],[file('Axioms/NUM005+2.ax',sum_entry_point_pos_pos)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM332+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n007.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 : Thu Jul  7 00:20:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 123.29/15.92  % symbols: 276
% 123.29/15.92  % clauses: 428
% 123.29/15.92  % start clauses: 5
% 123.29/15.92  % iterative deepening steps: 18707
% 123.29/15.92  % maximum path limit: 4
% 123.29/15.92  % literal attempts: 54675000
% 123.29/15.92  % depth failures: 36605587
% 123.29/15.92  % regularity failures: 2164435
% 123.29/15.92  % tautology failures: 4996729
% 123.29/15.92  % reductions: 3834682
% 123.29/15.92  % extensions: 50748123
% 123.29/15.92  % SAT variables: 886427
% 123.29/15.92  % SAT clauses: 2322622
% 123.29/15.92  % WalkSAT solutions: 2322621
% 123.29/15.92  % CDCL solutions: 0
% 123.29/15.92  % SZS status Theorem for theBenchmark
% 123.29/15.92  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------