TSTP Solution File: GRP124-3.004 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP124-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n005.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 11:32:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    product(e_3,e_3,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g1,plain,
    product(e_4,e_4,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g2,plain,
    product(e_1,e_1,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g3,plain,
    ~ equalish(e_3,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g4,plain,
    product(e_2,e_2,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g5,plain,
    ~ equalish(e_1,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g6,plain,
    ~ equalish(e_2,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g7,plain,
    ~ equalish(e_4,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g8,plain,
    ( ~ group_element(e_2)
    | ~ group_element(e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g9,plain,
    ~ equalish(e_4,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g10,plain,
    ~ equalish(e_2,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g11,plain,
    ~ equalish(e_3,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g12,plain,
    ( ~ group_element(e_2)
    | ~ group_element(e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g13,plain,
    ( ~ group_element(e_4)
    | ~ group_element(e_3)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g14,plain,
    ~ equalish(e_2,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g15,plain,
    ( ~ group_element(e_3)
    | ~ group_element(e_2)
    | product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g16,plain,
    group_element(e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g17,plain,
    group_element(e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g18,plain,
    group_element(e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g19,plain,
    group_element(e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g20,plain,
    ~ equalish(e_1,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g21,plain,
    ( ~ group_element(e_2)
    | ~ group_element(e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g22,plain,
    ( ~ group_element(e_3)
    | ~ group_element(e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g23,plain,
    ( ~ group_element(e_4)
    | ~ group_element(e_2)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g24,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_4)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g25,plain,
    ~ equalish(e_1,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g26,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g27,plain,
    ~ equalish(e_3,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g28,plain,
    ~ equalish(e_4,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g29,plain,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_2,e_4)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g30,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_4,e_2,e_1)
    | ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_4,e_2)
    | equalish(e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g31,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_2,e_3,e_1)
    | ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_2,e_3)
    | equalish(e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g32,plain,
    ( ~ product(e_1,e_4,e_2)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_1,e_4)
    | ~ product(e_2,e_2,e_2)
    | equalish(e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g33,plain,
    ( ~ product(e_1,e_2,e_3)
    | ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_1,e_2)
    | ~ product(e_3,e_3,e_3)
    | equalish(e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g34,plain,
    ( ~ product(e_4,e_3,e_2)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_4,e_3)
    | ~ product(e_2,e_2,e_2)
    | equalish(e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g35,plain,
    ( ~ product(e_3,e_2,e_3)
    | ~ product(e_3,e_3,e_3)
    | equalish(e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g36,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_4,e_4,e_4)
    | ~ product(e_4,e_2,e_3)
    | equalish(e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g37,plain,
    ( ~ product(e_4,e_2,e_4)
    | ~ product(e_4,e_4,e_4)
    | equalish(e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g38,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_1,e_3)
    | equalish(e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g39,plain,
    ( ~ product(e_1,e_4,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g40,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_2,e_1)
    | ~ product(e_3,e_3,e_3)
    | equalish(e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g41,plain,
    ( ~ product(e_2,e_3,e_3)
    | ~ product(e_3,e_3,e_3)
    | equalish(e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g42,plain,
    ( ~ product(e_2,e_1,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g43,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_1,e_4,e_3)
    | ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_1,e_4)
    | equalish(e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g44,plain,
    ( ~ product(e_4,e_3,e_4)
    | ~ product(e_4,e_4,e_4)
    | equalish(e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g45,plain,
    ( ~ product(e_2,e_4,e_3)
    | ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_2,e_4)
    | ~ product(e_3,e_3,e_3)
    | equalish(e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g46,plain,
    ( ~ product(e_3,e_2,e_1)
    | ~ product(e_4,e_2,e_1)
    | equalish(e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g47,plain,
    ( ~ product(e_2,e_4,e_2)
    | ~ product(e_2,e_2,e_2)
    | equalish(e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g48,plain,
    ( ~ product(e_1,e_4,e_4)
    | ~ product(e_4,e_4,e_4)
    | equalish(e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g49,plain,
    ( ~ product(e_1,e_2,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g50,plain,
    ( ~ product(e_4,e_3,e_1)
    | ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_4,e_3)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g51,plain,
    ( ~ product(e_4,e_3,e_3)
    | ~ product(e_3,e_3,e_3)
    | equalish(e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g52,plain,
    ( ~ product(e_2,e_4,e_4)
    | ~ product(e_4,e_4,e_4)
    | equalish(e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2)]) ).

cnf(g53,plain,
    ( ~ product(e_3,e_2,e_2)
    | ~ product(e_2,e_2,e_2)
    | equalish(e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g54,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_1,e_2)
    | equalish(e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g55,plain,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_1,e_1,e_1)
    | ~ product(e_3,e_2,e_4)
    | ~ product(e_3,e_1,e_1)
    | equalish(e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g56,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ product(e_1,e_2,e_2)
    | equalish(e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g57,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ product(e_4,e_2,e_2)
    | equalish(e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

cnf(g58,plain,
    ( ~ product(e_2,e_3,e_2)
    | ~ product(e_2,e_2,e_2)
    | equalish(e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP124-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n005.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 Jun 13 09:44:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.51  % symbols: 13
% 0.19/0.51  % clauses: 44
% 0.19/0.51  % start clauses: 2
% 0.19/0.51  % iterative deepening steps: 1966
% 0.19/0.51  % maximum path limit: 4
% 0.19/0.51  % literal attempts: 411932
% 0.19/0.51  % depth failures: 150164
% 0.19/0.51  % regularity failures: 835
% 0.19/0.51  % tautology failures: 0
% 0.19/0.51  % reductions: 163859
% 0.19/0.51  % extensions: 244263
% 0.19/0.51  % SAT variables: 1670
% 0.19/0.51  % SAT clauses: 24732
% 0.19/0.51  % WalkSAT solutions: 24722
% 0.19/0.51  % CDCL solutions: 0
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------