TSTP Solution File: GRP133-2.003 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n018.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 11:32:24 EDT 2022

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    group_element(e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3)]) ).

cnf(g1,plain,
    ( ~ group_element(e_3)
    | ~ group_element(e_3)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g2,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) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g3,plain,
    group_element(e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2)]) ).

cnf(g4,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) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g5,plain,
    ( ~ product(e_2,e_3,e_2)
    | ~ product(e_3,e_2,e_1)
    | product(e_2,e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g6,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) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g7,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g8,plain,
    group_element(e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1)]) ).

cnf(g9,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) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g10,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_1)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g11,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) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g12,plain,
    ( ~ product(e_1,e_2,e_3)
    | ~ product(e_2,e_1,e_3)
    | product(e_3,e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g13,plain,
    ( ~ product(e_3,e_3,e_1)
    | ~ product(e_3,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g14,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ product(e_3,e_3,e_2)
    | product(e_2,e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g15,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_1,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g16,plain,
    ( ~ product(e_1,e_1,e_2)
    | ~ product(e_1,e_1,e_2)
    | product(e_2,e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g17,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_3,e_1,e_1)
    | product(e_2,e_1,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g18,plain,
    ( ~ product(e_1,e_2,e_2)
    | ~ product(e_2,e_1,e_3)
    | product(e_2,e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g19,plain,
    greater(e_3,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2)]) ).

cnf(g20,plain,
    ( ~ next(e_1,e_2)
    | ~ greater(e_3,e_2)
    | ~ product(e_1,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).

cnf(g21,plain,
    next(e_1,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2)]) ).

cnf(g22,plain,
    ( ~ product(e_3,e_2,e_1)
    | ~ product(e_2,e_3,e_1)
    | product(e_1,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

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

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

cnf(g25,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_3,e_2,e_2)
    | product(e_1,e_2,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g26,plain,
    ( ~ product(e_3,e_2,e_1)
    | ~ product(e_2,e_3,e_3)
    | product(e_1,e_3,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g27,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ product(e_3,e_1,e_3)
    | product(e_3,e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g28,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_3,e_1,e_3)
    | product(e_2,e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g29,plain,
    ( ~ product(e_2,e_2,e_1)
    | ~ product(e_2,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g30,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ product(e_1,e_3,e_3)
    | product(e_2,e_3,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

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

cnf(g32,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_2,e_3)
    | equalish(e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g33,plain,
    ~ equalish(e_3,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2)]) ).

cnf(g34,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_1,e_2,e_1)
    | product(e_3,e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g35,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',product_right_cancellation)]) ).

cnf(g36,plain,
    ~ equalish(e_3,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1)]) ).

cnf(g37,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ product(e_2,e_3,e_3)
    | equalish(e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g38,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ product(e_3,e_2,e_2)
    | equalish(e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g39,plain,
    ~ equalish(e_1,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2)]) ).

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

cnf(g41,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 06:49:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  % symbols: 10
% 0.12/0.38  % clauses: 20
% 0.12/0.38  % start clauses: 1
% 0.12/0.38  % iterative deepening steps: 397
% 0.12/0.38  % maximum path limit: 7
% 0.12/0.38  % literal attempts: 63779
% 0.12/0.38  % depth failures: 20245
% 0.12/0.38  % regularity failures: 2623
% 0.12/0.38  % tautology failures: 6275
% 0.12/0.38  % reductions: 21155
% 0.12/0.38  % extensions: 42390
% 0.12/0.38  % SAT variables: 823
% 0.12/0.38  % SAT clauses: 4275
% 0.12/0.38  % WalkSAT solutions: 4272
% 0.12/0.38  % CDCL solutions: 0
% 0.12/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------