TSTP Solution File: GRP127-2.006 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP127-2.006 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n027.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 11:32:13 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    product(e_1,e_1,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence)]) ).

cnf(g1,plain,
    product(e_5,e_5,e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence)]) ).

cnf(g2,plain,
    product(e_3,e_3,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence)]) ).

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

cnf(g4,plain,
    product(e_6,e_6,e_6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence)]) ).

cnf(g5,plain,
    product(e_4,e_4,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence)]) ).

cnf(g6,plain,
    group_element(e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2)]) ).

cnf(g7,plain,
    ( ~ group_element(e_2)
    | ~ group_element(e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g8,plain,
    group_element(e_6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_6)]) ).

cnf(g9,plain,
    ( ~ group_element(e_6)
    | ~ group_element(e_2)
    | product(e_6,e_2,e_1)
    | product(e_6,e_2,e_2)
    | product(e_6,e_2,e_3)
    | product(e_6,e_2,e_4)
    | product(e_6,e_2,e_5)
    | product(e_6,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g10,plain,
    ( ~ group_element(e_6)
    | ~ group_element(e_5)
    | product(e_6,e_5,e_1)
    | product(e_6,e_5,e_2)
    | product(e_6,e_5,e_3)
    | product(e_6,e_5,e_4)
    | product(e_6,e_5,e_5)
    | product(e_6,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g11,plain,
    group_element(e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5)]) ).

cnf(g12,plain,
    group_element(e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4)]) ).

cnf(g13,plain,
    ( ~ group_element(e_5)
    | ~ group_element(e_4)
    | product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_5,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g14,plain,
    group_element(e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1)]) ).

cnf(g15,plain,
    ( ~ group_element(e_5)
    | ~ group_element(e_1)
    | product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_5,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g16,plain,
    ~ equalish(e_3,e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5)]) ).

cnf(g17,plain,
    ( ~ product(e_5,e_3,e_5)
    | ~ product(e_5,e_5,e_5)
    | equalish(e_3,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g18,plain,
    ( ~ group_element(e_3)
    | ~ group_element(e_5)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_3,e_5,e_6) ),
    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',element_3)]) ).

cnf(g20,plain,
    ( ~ product(e_3,e_5,e_6)
    | ~ product(e_6,e_3,e_5)
    | product(e_5,e_3,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g21,plain,
    ( ~ group_element(e_6)
    | ~ group_element(e_3)
    | product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_6,e_3,e_3)
    | product(e_6,e_3,e_4)
    | product(e_6,e_3,e_5)
    | product(e_6,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g22,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_6)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_1,e_6,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g23,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)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g24,plain,
    ( ~ group_element(e_4)
    | ~ group_element(e_6)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(e_4,e_6,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g25,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)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_1,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

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

cnf(g27,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)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g28,plain,
    ( ~ group_element(e_5)
    | ~ group_element(e_2)
    | product(e_5,e_2,e_1)
    | product(e_5,e_2,e_2)
    | product(e_5,e_2,e_3)
    | product(e_5,e_2,e_4)
    | product(e_5,e_2,e_5)
    | product(e_5,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g29,plain,
    ~ equalish(e_2,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1)]) ).

cnf(g30,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_2,e_1)
    | equalish(e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g31,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g32,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)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g33,plain,
    ( ~ product(e_5,e_4,e_5)
    | ~ product(e_5,e_5,e_5)
    | product(e_5,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g34,plain,
    ( ~ group_element(e_4)
    | ~ group_element(e_5)
    | product(e_4,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_5)
    | product(e_4,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g35,plain,
    ( ~ product(e_5,e_5,e_5)
    | ~ product(e_5,e_5,e_4)
    | equalish(e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g36,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)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g37,plain,
    ( ~ group_element(e_5)
    | ~ group_element(e_3)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_5,e_3,e_3)
    | product(e_5,e_3,e_4)
    | product(e_5,e_3,e_5)
    | product(e_5,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g38,plain,
    ~ equalish(e_5,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_3)]) ).

cnf(g39,plain,
    ( ~ product(e_3,e_5,e_3)
    | ~ product(e_3,e_3,e_3)
    | product(e_3,e_3,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g40,plain,
    ( ~ group_element(e_4)
    | ~ group_element(e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_4,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g41,plain,
    ( ~ group_element(e_6)
    | ~ group_element(e_1)
    | product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5)
    | product(e_6,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g42,plain,
    ( ~ product(e_6,e_1,e_4)
    | ~ product(e_4,e_6,e_1)
    | product(e_1,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g43,plain,
    ( ~ product(e_6,e_1,e_5)
    | ~ product(e_5,e_6,e_1)
    | product(e_1,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g44,plain,
    ( ~ product(e_6,e_1,e_2)
    | ~ product(e_2,e_6,e_1)
    | product(e_1,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g45,plain,
    ~ equalish(e_3,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2)]) ).

cnf(g46,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',product_right_cancellation)]) ).

cnf(g47,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)
    | product(e_3,e_2,e_5)
    | product(e_3,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g48,plain,
    ( ~ product(e_3,e_2,e_6)
    | ~ product(e_6,e_3,e_2)
    | product(e_2,e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g49,plain,
    ~ equalish(e_6,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_1)]) ).

cnf(g50,plain,
    ( ~ product(e_6,e_6,e_6)
    | ~ product(e_1,e_6,e_6)
    | equalish(e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g51,plain,
    ( ~ product(e_6,e_1,e_2)
    | ~ product(e_2,e_6,e_4)
    | product(e_4,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g52,plain,
    ( ~ product(e_6,e_1,e_2)
    | ~ product(e_2,e_6,e_5)
    | product(e_5,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g53,plain,
    ( ~ product(e_6,e_6,e_6)
    | ~ product(e_6,e_6,e_1)
    | product(e_1,e_6,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g54,plain,
    ~ equalish(e_1,e_6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_6)]) ).

cnf(g55,plain,
    ~ equalish(e_5,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_1)]) ).

cnf(g56,plain,
    ~ equalish(e_5,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_4)]) ).

cnf(g57,plain,
    ( ~ product(e_5,e_5,e_5)
    | ~ product(e_4,e_5,e_5)
    | equalish(e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g58,plain,
    next(e_3,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4)]) ).

cnf(g59,plain,
    ( ~ next(e_3,e_4)
    | ~ greater(e_6,e_4)
    | ~ product(e_3,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).

cnf(g60,plain,
    greater(e_6,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_4)]) ).

cnf(g61,plain,
    ( ~ product(e_1,e_6,e_3)
    | ~ product(e_3,e_1,e_3)
    | product(e_3,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g62,plain,
    ( ~ product(e_1,e_6,e_2)
    | ~ product(e_2,e_1,e_3)
    | product(e_3,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g63,plain,
    ( ~ product(e_1,e_6,e_4)
    | ~ product(e_4,e_1,e_3)
    | product(e_3,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g64,plain,
    ( ~ product(e_1,e_6,e_5)
    | ~ product(e_5,e_1,e_3)
    | product(e_3,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g65,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g66,plain,
    ( ~ group_element(e_5)
    | ~ group_element(e_6)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_5,e_6,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g67,plain,
    ( ~ product(e_4,e_3,e_4)
    | ~ product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g68,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)
    | product(e_4,e_3,e_5)
    | product(e_4,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g69,plain,
    ~ equalish(e_1,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2)]) ).

cnf(g70,plain,
    ( ~ product(e_1,e_5,e_1)
    | ~ product(e_1,e_1,e_1)
    | product(e_1,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g71,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)
    | product(e_1,e_2,e_5)
    | product(e_1,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g72,plain,
    ( ~ product(e_1,e_4,e_1)
    | ~ product(e_1,e_1,e_1)
    | product(e_1,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g73,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',product_left_cancellation)]) ).

cnf(g74,plain,
    ~ equalish(e_6,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_4)]) ).

cnf(g75,plain,
    ( ~ product(e_6,e_6,e_6)
    | ~ product(e_4,e_6,e_6)
    | equalish(e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g76,plain,
    ( ~ group_element(e_6)
    | ~ group_element(e_4)
    | product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(e_6,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g77,plain,
    ( ~ product(e_6,e_6,e_6)
    | ~ product(e_6,e_6,e_4)
    | product(e_4,e_6,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g78,plain,
    ( ~ product(e_6,e_4,e_6)
    | ~ product(e_6,e_6,e_6)
    | product(e_6,e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g79,plain,
    ( ~ group_element(e_3)
    | ~ group_element(e_4)
    | product(e_3,e_4,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g80,plain,
    ~ equalish(e_4,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2)]) ).

cnf(g81,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)
    | product(e_2,e_3,e_5)
    | product(e_2,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g82,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)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g83,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_2,e_3,e_3)
    | equalish(e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g84,plain,
    ~ equalish(e_4,e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5)]) ).

cnf(g85,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ product(e_4,e_4,e_5)
    | equalish(e_4,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g86,plain,
    ( ~ product(e_4,e_5,e_4)
    | ~ product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g87,plain,
    ( ~ product(e_5,e_4,e_3)
    | ~ product(e_3,e_5,e_4)
    | product(e_4,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g88,plain,
    ( ~ product(e_5,e_4,e_2)
    | ~ product(e_2,e_5,e_4)
    | product(e_4,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g89,plain,
    ( ~ product(e_5,e_4,e_1)
    | ~ product(e_1,e_5,e_4)
    | product(e_4,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g90,plain,
    ~ equalish(e_3,e_6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_6)]) ).

cnf(g91,plain,
    ~ equalish(e_3,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4)]) ).

cnf(g92,plain,
    ~ equalish(e_6,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_2)]) ).

cnf(g93,plain,
    ~ equalish(e_4,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1)]) ).

cnf(g94,plain,
    ( ~ product(e_5,e_5,e_5)
    | ~ product(e_5,e_5,e_1)
    | product(e_1,e_5,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g95,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_1,e_2,e_5)
    | product(e_5,e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g96,plain,
    ( ~ product(e_1,e_2,e_1)
    | ~ product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g97,plain,
    ( ~ product(e_3,e_6,e_3)
    | ~ product(e_3,e_3,e_3)
    | product(e_3,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g98,plain,
    ( ~ group_element(e_3)
    | ~ group_element(e_6)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(e_3,e_6,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g99,plain,
    ( ~ product(e_6,e_3,e_6)
    | ~ product(e_6,e_6,e_6)
    | product(e_6,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g100,plain,
    ( ~ product(e_6,e_5,e_6)
    | ~ product(e_6,e_6,e_6)
    | product(e_6,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g101,plain,
    ( ~ product(e_6,e_1,e_6)
    | ~ product(e_6,e_6,e_6)
    | product(e_6,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g102,plain,
    ~ equalish(e_2,e_6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_6)]) ).

cnf(g103,plain,
    ( ~ product(e_6,e_6,e_2)
    | ~ product(e_6,e_6,e_6)
    | equalish(e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g104,plain,
    ( ~ product(e_6,e_2,e_3)
    | ~ product(e_3,e_6,e_6)
    | product(e_6,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g105,plain,
    ~ equalish(e_6,e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_5)]) ).

cnf(g106,plain,
    ( ~ product(e_4,e_2,e_2)
    | ~ product(e_2,e_2,e_2)
    | equalish(e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g107,plain,
    ~ equalish(e_6,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_3)]) ).

cnf(g108,plain,
    ( ~ product(e_6,e_6,e_6)
    | ~ product(e_6,e_6,e_3)
    | equalish(e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g109,plain,
    ~ equalish(e_5,e_6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_6)]) ).

cnf(g110,plain,
    ( ~ product(e_3,e_5,e_2)
    | ~ product(e_2,e_3,e_5)
    | product(e_5,e_3,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g111,plain,
    ~ equalish(e_5,e_2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_2)]) ).

cnf(g112,plain,
    next(e_2,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3)]) ).

cnf(g113,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g114,plain,
    ( ~ product(e_6,e_5,e_3)
    | ~ product(e_3,e_6,e_1)
    | product(e_1,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g115,plain,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g116,plain,
    ( ~ product(e_1,e_4,e_5)
    | ~ product(e_5,e_1,e_6)
    | product(e_6,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g117,plain,
    ( ~ product(e_1,e_4,e_5)
    | ~ product(e_5,e_1,e_2)
    | product(e_2,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g118,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_1,e_4)
    | product(e_4,e_1,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g119,plain,
    ( ~ product(e_1,e_4,e_5)
    | ~ product(e_5,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g120,plain,
    ~ equalish(e_1,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4)]) ).

cnf(g121,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_5)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_1,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g122,plain,
    ~ equalish(e_2,e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5)]) ).

cnf(g123,plain,
    ( ~ product(e_6,e_3,e_3)
    | ~ product(e_3,e_3,e_3)
    | equalish(e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g124,plain,
    ( ~ product(e_6,e_6,e_5)
    | ~ product(e_6,e_6,e_6)
    | equalish(e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g125,plain,
    ( ~ product(e_6,e_6,e_6)
    | ~ product(e_6,e_2,e_6)
    | equalish(e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g126,plain,
    ( ~ product(e_2,e_6,e_3)
    | ~ product(e_3,e_2,e_6)
    | product(e_6,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g127,plain,
    ( ~ product(e_2,e_6,e_1)
    | ~ product(e_1,e_2,e_6)
    | product(e_6,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g128,plain,
    ( ~ product(e_2,e_6,e_5)
    | ~ product(e_5,e_2,e_6)
    | product(e_6,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g129,plain,
    ( ~ product(e_3,e_4,e_4)
    | ~ product(e_4,e_4,e_4)
    | equalish(e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g130,plain,
    ( ~ product(e_1,e_4,e_6)
    | ~ product(e_6,e_1,e_1)
    | product(e_1,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g131,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ product(e_4,e_4,e_1)
    | product(e_1,e_4,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g132,plain,
    ( ~ product(e_3,e_3,e_1)
    | ~ product(e_6,e_3,e_1)
    | equalish(e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g133,plain,
    ( ~ product(e_3,e_4,e_3)
    | ~ product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g134,plain,
    ( ~ group_element(e_2)
    | ~ group_element(e_5)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).

cnf(g135,plain,
    ( ~ product(e_5,e_6,e_2)
    | ~ product(e_2,e_5,e_6)
    | product(e_6,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g136,plain,
    ~ equalish(e_4,e_6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_6)]) ).

cnf(g137,plain,
    ( ~ product(e_4,e_6,e_3)
    | ~ product(e_3,e_4,e_6)
    | product(e_6,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g138,plain,
    ( ~ product(e_4,e_6,e_1)
    | ~ product(e_1,e_4,e_6)
    | product(e_6,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g139,plain,
    ( ~ product(e_4,e_6,e_2)
    | ~ product(e_2,e_4,e_6)
    | product(e_6,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g140,plain,
    ( ~ product(e_6,e_5,e_5)
    | ~ product(e_5,e_5,e_5)
    | equalish(e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g141,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',product_left_cancellation)]) ).

cnf(g142,plain,
    ( ~ product(e_4,e_1,e_4)
    | ~ product(e_4,e_4,e_4)
    | product(e_4,e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g143,plain,
    ( ~ product(e_5,e_1,e_5)
    | ~ product(e_5,e_5,e_5)
    | product(e_5,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g144,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ product(e_4,e_2,e_4)
    | equalish(e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g145,plain,
    next(e_4,e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_then_e_5)]) ).

cnf(g146,plain,
    ( ~ product(e_1,e_6,e_5)
    | ~ product(e_5,e_1,e_4)
    | product(e_4,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g147,plain,
    ( ~ next(e_4,e_5)
    | ~ greater(e_6,e_5)
    | ~ product(e_4,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).

cnf(g148,plain,
    greater(e_6,e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_5)]) ).

cnf(g149,plain,
    ( ~ product(e_6,e_5,e_2)
    | ~ product(e_2,e_6,e_1)
    | product(e_1,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g150,plain,
    ( ~ product(e_6,e_5,e_4)
    | ~ product(e_4,e_6,e_1)
    | product(e_1,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g151,plain,
    ~ equalish(e_2,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4)]) ).

cnf(g152,plain,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_1,e_2,e_4)
    | product(e_4,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g153,plain,
    ( ~ product(e_4,e_1,e_5)
    | ~ product(e_5,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g154,plain,
    ( ~ product(e_2,e_6,e_2)
    | ~ product(e_2,e_2,e_2)
    | equalish(e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g155,plain,
    ( ~ product(e_6,e_2,e_5)
    | ~ product(e_5,e_6,e_2)
    | product(e_2,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g156,plain,
    ( ~ product(e_6,e_2,e_3)
    | ~ product(e_3,e_6,e_2)
    | product(e_2,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g157,plain,
    ( ~ product(e_6,e_2,e_4)
    | ~ product(e_4,e_6,e_2)
    | product(e_2,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g158,plain,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_5,e_2,e_6)
    | product(e_6,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g159,plain,
    ( ~ product(e_5,e_5,e_5)
    | ~ product(e_5,e_6,e_5)
    | equalish(e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g160,plain,
    ~ equalish(e_1,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3)]) ).

cnf(g161,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_3,e_5)
    | product(e_5,e_3,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g162,plain,
    ( ~ product(e_5,e_4,e_4)
    | ~ product(e_4,e_4,e_4)
    | equalish(e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g163,plain,
    ~ equalish(e_2,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3)]) ).

cnf(g164,plain,
    ( ~ product(e_3,e_2,e_3)
    | ~ product(e_3,e_3,e_3)
    | product(e_3,e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g165,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ product(e_3,e_3,e_3)
    | equalish(e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g166,plain,
    ( ~ product(e_6,e_6,e_6)
    | ~ product(e_2,e_6,e_6)
    | equalish(e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g167,plain,
    ( ~ product(e_3,e_4,e_3)
    | ~ product(e_3,e_3,e_4)
    | product(e_4,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g168,plain,
    ( ~ product(e_4,e_6,e_4)
    | ~ product(e_4,e_4,e_4)
    | equalish(e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g169,plain,
    ( ~ product(e_6,e_4,e_1)
    | ~ product(e_1,e_6,e_4)
    | product(e_4,e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g170,plain,
    ( ~ product(e_6,e_4,e_2)
    | ~ product(e_2,e_6,e_4)
    | product(e_4,e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g171,plain,
    ( ~ product(e_6,e_4,e_5)
    | ~ product(e_5,e_6,e_4)
    | product(e_4,e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g172,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ product(e_6,e_2,e_2)
    | equalish(e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g173,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_3,e_1,e_1)
    | equalish(e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g174,plain,
    ( ~ product(e_6,e_5,e_2)
    | ~ product(e_2,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g175,plain,
    ~ equalish(e_1,e_5),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5)]) ).

cnf(g176,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_5,e_1,e_1)
    | equalish(e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g177,plain,
    ( ~ product(e_1,e_5,e_6)
    | ~ product(e_6,e_1,e_1)
    | product(e_1,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g178,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_2,e_6)
    | product(e_6,e_2,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g179,plain,
    ~ equalish(e_3,e_1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1)]) ).

cnf(g180,plain,
    ( ~ product(e_1,e_3,e_6)
    | ~ product(e_6,e_1,e_1)
    | product(e_1,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g181,plain,
    ( ~ product(e_1,e_1,e_5)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g182,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_3,e_2,e_6)
    | product(e_6,e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g183,plain,
    ( ~ product(e_2,e_5,e_1)
    | ~ product(e_1,e_2,e_5)
    | product(e_5,e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g184,plain,
    ( ~ product(e_2,e_5,e_1)
    | ~ product(e_1,e_2,e_4)
    | product(e_4,e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g185,plain,
    ( ~ product(e_2,e_5,e_4)
    | ~ product(e_4,e_2,e_5)
    | product(e_5,e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g186,plain,
    ( ~ product(e_2,e_5,e_4)
    | ~ product(e_4,e_2,e_6)
    | product(e_6,e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g187,plain,
    ( ~ product(e_2,e_5,e_4)
    | ~ product(e_4,e_2,e_3)
    | product(e_3,e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g188,plain,
    ( ~ product(e_2,e_5,e_4)
    | ~ product(e_4,e_2,e_1)
    | product(e_1,e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g189,plain,
    ( ~ product(e_6,e_3,e_5)
    | ~ product(e_5,e_6,e_2)
    | product(e_2,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g190,plain,
    ( ~ product(e_6,e_3,e_5)
    | ~ product(e_5,e_6,e_3)
    | product(e_3,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g191,plain,
    ( ~ product(e_6,e_3,e_4)
    | ~ product(e_4,e_6,e_2)
    | product(e_2,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g192,plain,
    ( ~ product(e_5,e_3,e_2)
    | ~ product(e_2,e_5,e_6)
    | product(e_6,e_5,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g193,plain,
    ( ~ product(e_5,e_3,e_2)
    | ~ product(e_2,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g194,plain,
    ( ~ product(e_5,e_3,e_6)
    | ~ product(e_6,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g195,plain,
    ( ~ product(e_3,e_4,e_6)
    | ~ product(e_6,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g196,plain,
    ( ~ product(e_3,e_4,e_6)
    | ~ product(e_6,e_3,e_1)
    | product(e_1,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g197,plain,
    ( ~ product(e_3,e_4,e_5)
    | ~ product(e_5,e_3,e_4)
    | product(e_4,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g198,plain,
    ( ~ product(e_3,e_4,e_5)
    | ~ product(e_5,e_3,e_6)
    | product(e_6,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g199,plain,
    ( ~ product(e_1,e_6,e_4)
    | ~ product(e_4,e_1,e_2)
    | product(e_2,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g200,plain,
    ( ~ product(e_1,e_6,e_4)
    | ~ product(e_4,e_1,e_5)
    | product(e_5,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g201,plain,
    ( ~ product(e_4,e_1,e_5)
    | ~ product(e_5,e_4,e_1)
    | product(e_1,e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g202,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_3,e_4,e_6)
    | product(e_6,e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g203,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_3,e_4,e_5)
    | product(e_5,e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g204,plain,
    ( ~ product(e_3,e_2,e_5)
    | ~ product(e_5,e_3,e_2)
    | product(e_2,e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g205,plain,
    ( ~ product(e_3,e_2,e_4)
    | ~ product(e_4,e_3,e_2)
    | product(e_2,e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g206,plain,
    ( ~ product(e_3,e_2,e_5)
    | ~ product(e_5,e_3,e_6)
    | product(e_6,e_3,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g207,plain,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_1,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g208,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_5,e_3,e_3)
    | equalish(e_3,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g209,plain,
    ( ~ product(e_5,e_2,e_1)
    | ~ product(e_1,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g210,plain,
    ( ~ product(e_5,e_2,e_1)
    | ~ product(e_1,e_5,e_6)
    | product(e_6,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g211,plain,
    ( ~ product(e_5,e_2,e_1)
    | ~ product(e_1,e_5,e_2)
    | product(e_2,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g212,plain,
    ( ~ product(e_5,e_2,e_6)
    | ~ product(e_6,e_5,e_2)
    | product(e_2,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g213,plain,
    ( ~ product(e_4,e_3,e_1)
    | ~ product(e_1,e_4,e_2)
    | product(e_2,e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g214,plain,
    ( ~ product(e_3,e_4,e_5)
    | ~ product(e_5,e_3,e_1)
    | product(e_1,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g215,plain,
    ( ~ product(e_5,e_3,e_4)
    | ~ product(e_4,e_5,e_2)
    | product(e_2,e_5,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g216,plain,
    ( ~ product(e_5,e_3,e_4)
    | ~ product(e_4,e_5,e_1)
    | product(e_1,e_5,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g217,plain,
    ( ~ product(e_5,e_3,e_4)
    | ~ product(e_4,e_5,e_3)
    | product(e_3,e_5,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g218,plain,
    ( ~ product(e_6,e_3,e_2)
    | ~ product(e_2,e_6,e_4)
    | product(e_4,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g219,plain,
    ( ~ product(e_6,e_3,e_2)
    | ~ product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g220,plain,
    ( ~ product(e_6,e_3,e_2)
    | ~ product(e_2,e_6,e_5)
    | product(e_5,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g221,plain,
    ( ~ product(e_6,e_3,e_2)
    | ~ product(e_2,e_6,e_1)
    | product(e_1,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g222,plain,
    ( ~ product(e_3,e_5,e_2)
    | ~ product(e_2,e_3,e_6)
    | product(e_6,e_3,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g223,plain,
    ( ~ product(e_1,e_4,e_2)
    | ~ product(e_2,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g224,plain,
    ( ~ next(e_2,e_3)
    | ~ greater(e_6,e_3)
    | ~ product(e_2,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).

cnf(g225,plain,
    greater(e_6,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_3)]) ).

cnf(g226,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_3,e_2,e_1)
    | product(e_1,e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g227,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_3,e_2,e_4)
    | product(e_4,e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g228,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_3,e_2,e_5)
    | product(e_5,e_2,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g229,plain,
    ( ~ product(e_1,e_4,e_2)
    | ~ product(e_2,e_1,e_1)
    | product(e_1,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g230,plain,
    ( ~ product(e_1,e_4,e_2)
    | ~ product(e_2,e_1,e_4)
    | product(e_4,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g231,plain,
    ( ~ product(e_1,e_4,e_6)
    | ~ product(e_6,e_1,e_2)
    | product(e_2,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g232,plain,
    ( ~ product(e_1,e_2,e_6)
    | ~ product(e_6,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g233,plain,
    ( ~ product(e_1,e_3,e_5)
    | ~ product(e_5,e_1,e_6)
    | product(e_6,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g234,plain,
    ( ~ product(e_1,e_4,e_3)
    | ~ product(e_3,e_1,e_5)
    | product(e_5,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g235,plain,
    ( ~ product(e_1,e_4,e_3)
    | ~ product(e_3,e_1,e_4)
    | product(e_4,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g236,plain,
    ( ~ product(e_1,e_4,e_3)
    | ~ product(e_3,e_1,e_2)
    | product(e_2,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g237,plain,
    ( ~ product(e_2,e_2,e_5)
    | ~ product(e_2,e_2,e_2)
    | equalish(e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g238,plain,
    ( ~ product(e_2,e_5,e_2)
    | ~ product(e_2,e_2,e_2)
    | product(e_2,e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g239,plain,
    ( ~ product(e_4,e_3,e_2)
    | ~ product(e_2,e_4,e_1)
    | product(e_1,e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g240,plain,
    ( ~ product(e_4,e_3,e_2)
    | ~ product(e_2,e_4,e_6)
    | product(e_6,e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g241,plain,
    ( ~ product(e_5,e_1,e_3)
    | ~ product(e_3,e_5,e_1)
    | product(e_1,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g242,plain,
    ( ~ product(e_5,e_1,e_3)
    | ~ product(e_3,e_5,e_6)
    | product(e_6,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g243,plain,
    ( ~ product(e_5,e_1,e_3)
    | ~ product(e_3,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g244,plain,
    ( ~ product(e_5,e_1,e_3)
    | ~ product(e_3,e_5,e_5)
    | product(e_5,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g245,plain,
    ( ~ product(e_1,e_2,e_5)
    | ~ product(e_5,e_1,e_6)
    | product(e_6,e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g246,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_6,e_3,e_1)
    | equalish(e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g247,plain,
    ( ~ product(e_3,e_6,e_5)
    | ~ product(e_5,e_3,e_4)
    | product(e_4,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g248,plain,
    ( ~ product(e_3,e_6,e_5)
    | ~ product(e_5,e_3,e_6)
    | product(e_6,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g249,plain,
    ( ~ product(e_3,e_6,e_5)
    | ~ product(e_5,e_3,e_2)
    | product(e_2,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g250,plain,
    ( ~ product(e_3,e_6,e_5)
    | ~ product(e_5,e_3,e_1)
    | product(e_1,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g251,plain,
    ( ~ product(e_6,e_2,e_5)
    | ~ product(e_5,e_6,e_3)
    | product(e_3,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g252,plain,
    ( ~ product(e_6,e_2,e_4)
    | ~ product(e_4,e_6,e_1)
    | product(e_1,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g253,plain,
    ( ~ product(e_6,e_2,e_4)
    | ~ product(e_4,e_6,e_3)
    | product(e_3,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g254,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_3,e_4,e_1)
    | product(e_1,e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g255,plain,
    ( ~ product(e_5,e_2,e_6)
    | ~ product(e_6,e_5,e_4)
    | product(e_4,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g256,plain,
    ( ~ product(e_5,e_2,e_6)
    | ~ product(e_6,e_5,e_1)
    | product(e_1,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g257,plain,
    ( ~ product(e_6,e_1,e_4)
    | ~ product(e_4,e_6,e_2)
    | product(e_2,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g258,plain,
    ( ~ product(e_6,e_1,e_4)
    | ~ product(e_4,e_6,e_3)
    | product(e_3,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g259,plain,
    ( ~ product(e_3,e_6,e_6)
    | ~ product(e_6,e_3,e_1)
    | product(e_1,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g260,plain,
    ( ~ product(e_1,e_3,e_6)
    | ~ product(e_6,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g261,plain,
    ( ~ product(e_6,e_2,e_5)
    | ~ product(e_5,e_6,e_1)
    | product(e_1,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g262,plain,
    ( ~ product(e_5,e_4,e_1)
    | ~ product(e_1,e_5,e_2)
    | product(e_2,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g263,plain,
    ( ~ product(e_3,e_6,e_2)
    | ~ product(e_2,e_3,e_6)
    | product(e_6,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g264,plain,
    ( ~ product(e_3,e_6,e_2)
    | ~ product(e_2,e_3,e_5)
    | product(e_5,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g265,plain,
    ( ~ product(e_6,e_3,e_1)
    | ~ product(e_1,e_6,e_5)
    | product(e_5,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g266,plain,
    ( ~ product(e_6,e_3,e_1)
    | ~ product(e_1,e_6,e_3)
    | product(e_3,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g267,plain,
    ( ~ product(e_6,e_3,e_1)
    | ~ product(e_1,e_6,e_4)
    | product(e_4,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g268,plain,
    ( ~ product(e_6,e_3,e_4)
    | ~ product(e_4,e_6,e_3)
    | product(e_3,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g269,plain,
    ( ~ product(e_6,e_3,e_4)
    | ~ product(e_4,e_6,e_1)
    | product(e_1,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g270,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',product_right_cancellation)]) ).

cnf(g271,plain,
    ( ~ product(e_4,e_2,e_6)
    | ~ product(e_6,e_4,e_2)
    | product(e_2,e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g272,plain,
    ( ~ product(e_4,e_3,e_5)
    | ~ product(e_4,e_1,e_5)
    | equalish(e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g273,plain,
    ( ~ product(e_6,e_3,e_2)
    | ~ product(e_6,e_1,e_2)
    | equalish(e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g274,plain,
    ( ~ product(e_1,e_2,e_4)
    | ~ product(e_4,e_1,e_5)
    | product(e_5,e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g275,plain,
    ( ~ product(e_1,e_2,e_4)
    | ~ product(e_4,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g276,plain,
    ( ~ product(e_1,e_4,e_6)
    | ~ product(e_6,e_1,e_4)
    | product(e_4,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g277,plain,
    ( ~ product(e_1,e_4,e_6)
    | ~ product(e_6,e_1,e_5)
    | product(e_5,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g278,plain,
    ( ~ product(e_4,e_3,e_6)
    | ~ product(e_6,e_4,e_1)
    | product(e_1,e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g279,plain,
    ( ~ product(e_4,e_3,e_5)
    | ~ product(e_5,e_4,e_1)
    | product(e_1,e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g280,plain,
    ( ~ product(e_2,e_6,e_1)
    | ~ product(e_1,e_2,e_3)
    | product(e_3,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g281,plain,
    ( ~ product(e_2,e_6,e_1)
    | ~ product(e_1,e_2,e_4)
    | product(e_4,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g282,plain,
    ( ~ product(e_6,e_3,e_5)
    | ~ product(e_5,e_6,e_4)
    | product(e_4,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g283,plain,
    ( ~ product(e_6,e_3,e_5)
    | ~ product(e_5,e_6,e_1)
    | product(e_1,e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g284,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_3,e_6)
    | equalish(e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g285,plain,
    ( ~ product(e_4,e_3,e_6)
    | ~ product(e_6,e_4,e_3)
    | product(e_3,e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g286,plain,
    ( ~ product(e_4,e_3,e_5)
    | ~ product(e_5,e_4,e_3)
    | product(e_3,e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g287,plain,
    ( ~ product(e_3,e_5,e_2)
    | ~ product(e_2,e_3,e_4)
    | product(e_4,e_3,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g288,plain,
    ( ~ product(e_1,e_6,e_5)
    | ~ product(e_5,e_1,e_2)
    | product(e_2,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g289,plain,
    ( ~ product(e_1,e_6,e_3)
    | ~ product(e_3,e_1,e_2)
    | product(e_2,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g290,plain,
    ( ~ product(e_1,e_6,e_3)
    | ~ product(e_3,e_1,e_4)
    | product(e_4,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g291,plain,
    ( ~ product(e_1,e_6,e_3)
    | ~ product(e_3,e_1,e_5)
    | product(e_5,e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g292,plain,
    ( ~ product(e_5,e_4,e_2)
    | ~ product(e_2,e_5,e_1)
    | product(e_1,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g293,plain,
    ( ~ product(e_5,e_4,e_3)
    | ~ product(e_3,e_5,e_2)
    | product(e_2,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g294,plain,
    ( ~ product(e_5,e_4,e_3)
    | ~ product(e_3,e_5,e_1)
    | product(e_1,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g295,plain,
    ( ~ product(e_5,e_4,e_3)
    | ~ product(e_3,e_5,e_5)
    | product(e_5,e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g296,plain,
    greater(e_5,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3)]) ).

cnf(g297,plain,
    ( ~ next(e_2,e_3)
    | ~ greater(e_5,e_3)
    | ~ product(e_2,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).

cnf(g298,plain,
    ( ~ product(e_1,e_5,e_3)
    | ~ product(e_3,e_1,e_4)
    | product(e_4,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g299,plain,
    ( ~ product(e_1,e_5,e_3)
    | ~ product(e_3,e_1,e_5)
    | product(e_5,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g300,plain,
    ( ~ product(e_1,e_5,e_3)
    | ~ product(e_3,e_1,e_3)
    | product(e_3,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g301,plain,
    ( ~ product(e_1,e_5,e_3)
    | ~ product(e_3,e_1,e_2)
    | product(e_2,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g302,plain,
    ( ~ product(e_1,e_5,e_6)
    | ~ product(e_6,e_1,e_4)
    | product(e_4,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g303,plain,
    ( ~ product(e_1,e_5,e_6)
    | ~ product(e_6,e_1,e_2)
    | product(e_2,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g304,plain,
    ( ~ product(e_1,e_5,e_4)
    | ~ product(e_4,e_1,e_3)
    | product(e_3,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g305,plain,
    ( ~ product(e_1,e_5,e_4)
    | ~ product(e_4,e_1,e_2)
    | product(e_2,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g306,plain,
    ( ~ product(e_1,e_5,e_4)
    | ~ product(e_4,e_1,e_5)
    | product(e_5,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g307,plain,
    ( ~ product(e_5,e_1,e_6)
    | ~ product(e_6,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g308,plain,
    ( ~ product(e_5,e_1,e_6)
    | ~ product(e_6,e_5,e_4)
    | product(e_4,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g309,plain,
    ( ~ product(e_5,e_1,e_6)
    | ~ product(e_6,e_5,e_3)
    | product(e_3,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g310,plain,
    ( ~ product(e_5,e_1,e_6)
    | ~ product(e_6,e_5,e_1)
    | product(e_1,e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g311,plain,
    ( ~ product(e_3,e_6,e_2)
    | ~ product(e_2,e_3,e_4)
    | product(e_4,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g312,plain,
    ( ~ product(e_3,e_6,e_2)
    | ~ product(e_2,e_3,e_1)
    | product(e_1,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g313,plain,
    ( ~ product(e_4,e_6,e_5)
    | ~ product(e_4,e_1,e_5)
    | equalish(e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g314,plain,
    ( ~ product(e_3,e_6,e_4)
    | ~ product(e_3,e_1,e_4)
    | equalish(e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g315,plain,
    ( ~ product(e_4,e_6,e_2)
    | ~ product(e_4,e_1,e_2)
    | equalish(e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g316,plain,
    ( ~ product(e_5,e_6,e_3)
    | ~ product(e_5,e_1,e_3)
    | equalish(e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g317,plain,
    ( ~ product(e_1,e_6,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g318,plain,
    ( ~ product(e_6,e_1,e_5)
    | ~ product(e_5,e_6,e_3)
    | product(e_3,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g319,plain,
    ( ~ product(e_6,e_1,e_5)
    | ~ product(e_5,e_6,e_2)
    | product(e_2,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g320,plain,
    ( ~ product(e_6,e_1,e_1)
    | ~ product(e_1,e_6,e_5)
    | product(e_5,e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g321,plain,
    ( ~ product(e_5,e_6,e_4)
    | ~ product(e_4,e_5,e_1)
    | product(e_1,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g322,plain,
    ( ~ product(e_5,e_6,e_4)
    | ~ product(e_4,e_5,e_2)
    | product(e_2,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g323,plain,
    ( ~ product(e_5,e_2,e_3)
    | ~ product(e_3,e_5,e_1)
    | product(e_1,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g324,plain,
    ( ~ product(e_5,e_2,e_3)
    | ~ product(e_3,e_5,e_5)
    | product(e_5,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g325,plain,
    ( ~ product(e_5,e_2,e_3)
    | ~ product(e_3,e_5,e_6)
    | product(e_6,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g326,plain,
    ( ~ product(e_5,e_2,e_3)
    | ~ product(e_3,e_5,e_2)
    | product(e_2,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g327,plain,
    ( ~ product(e_5,e_2,e_3)
    | ~ product(e_3,e_5,e_4)
    | product(e_4,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g328,plain,
    ( ~ product(e_6,e_4,e_3)
    | ~ product(e_3,e_6,e_1)
    | product(e_1,e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g329,plain,
    ( ~ product(e_6,e_4,e_3)
    | ~ product(e_3,e_6,e_5)
    | product(e_5,e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g330,plain,
    ( ~ product(e_6,e_4,e_5)
    | ~ product(e_5,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g331,plain,
    ( ~ product(e_5,e_6,e_2)
    | ~ product(e_2,e_5,e_1)
    | product(e_1,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g332,plain,
    ( ~ product(e_5,e_6,e_2)
    | ~ product(e_2,e_5,e_3)
    | product(e_3,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g333,plain,
    ( ~ product(e_2,e_6,e_3)
    | ~ product(e_3,e_2,e_4)
    | product(e_4,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g334,plain,
    ( ~ product(e_2,e_6,e_5)
    | ~ product(e_5,e_2,e_4)
    | product(e_4,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g335,plain,
    ( ~ product(e_2,e_6,e_5)
    | ~ product(e_5,e_2,e_2)
    | product(e_2,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g336,plain,
    ( ~ product(e_5,e_2,e_4)
    | ~ product(e_4,e_5,e_6)
    | product(e_6,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g337,plain,
    ( ~ product(e_5,e_2,e_4)
    | ~ product(e_4,e_5,e_2)
    | product(e_2,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g338,plain,
    ( ~ product(e_5,e_2,e_4)
    | ~ product(e_4,e_5,e_1)
    | product(e_1,e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g339,plain,
    ( ~ product(e_5,e_6,e_1)
    | ~ product(e_1,e_5,e_6)
    | product(e_6,e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g340,plain,
    ( ~ product(e_2,e_3,e_6)
    | ~ product(e_6,e_2,e_5)
    | product(e_5,e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g341,plain,
    ( ~ product(e_2,e_3,e_6)
    | ~ product(e_6,e_2,e_3)
    | product(e_3,e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g342,plain,
    ( ~ product(e_3,e_6,e_1)
    | ~ product(e_3,e_4,e_1)
    | equalish(e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g343,plain,
    ( ~ product(e_3,e_6,e_1)
    | ~ product(e_1,e_3,e_3)
    | product(e_3,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g344,plain,
    ( ~ product(e_3,e_6,e_6)
    | ~ product(e_6,e_3,e_2)
    | product(e_2,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g345,plain,
    ( ~ product(e_1,e_5,e_2)
    | ~ product(e_2,e_1,e_3)
    | product(e_3,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g346,plain,
    ( ~ product(e_6,e_2,e_1)
    | ~ product(e_1,e_6,e_4)
    | product(e_4,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g347,plain,
    ( ~ product(e_6,e_2,e_1)
    | ~ product(e_1,e_6,e_5)
    | product(e_5,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g348,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ product(e_6,e_4,e_4)
    | equalish(e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g349,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g350,plain,
    ( ~ product(e_4,e_3,e_3)
    | ~ product(e_4,e_1,e_3)
    | equalish(e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g351,plain,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_5,e_4,e_2)
    | equalish(e_3,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g352,plain,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_2,e_3,e_4)
    | product(e_4,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g353,plain,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_2,e_3,e_1)
    | product(e_1,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g354,plain,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_2,e_3,e_5)
    | product(e_5,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g355,plain,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_2,e_3,e_6)
    | product(e_6,e_3,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g356,plain,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_3,e_6,e_2)
    | equalish(e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g357,plain,
    ~ equalish(e_4,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3)]) ).

cnf(g358,plain,
    ( ~ product(e_4,e_6,e_3)
    | ~ product(e_3,e_4,e_2)
    | product(e_2,e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g359,plain,
    ( ~ product(e_6,e_5,e_4)
    | ~ product(e_4,e_6,e_2)
    | product(e_2,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g360,plain,
    ( ~ product(e_5,e_6,e_3)
    | ~ product(e_4,e_6,e_3)
    | equalish(e_5,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g361,plain,
    ( ~ product(e_2,e_6,e_3)
    | ~ product(e_4,e_6,e_3)
    | equalish(e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g362,plain,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_4,e_6,e_3)
    | equalish(e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g363,plain,
    ( ~ product(e_4,e_6,e_3)
    | ~ product(e_4,e_3,e_3)
    | equalish(e_6,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g364,plain,
    ( ~ product(e_6,e_5,e_4)
    | ~ product(e_4,e_6,e_3)
    | product(e_3,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g365,plain,
    ( ~ product(e_1,e_3,e_6)
    | ~ product(e_6,e_1,e_5)
    | product(e_5,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g366,plain,
    ( ~ product(e_3,e_6,e_1)
    | ~ product(e_1,e_3,e_2)
    | product(e_2,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g367,plain,
    ( ~ product(e_3,e_6,e_1)
    | ~ product(e_1,e_3,e_6)
    | product(e_6,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g368,plain,
    ( ~ product(e_3,e_6,e_1)
    | ~ product(e_1,e_3,e_4)
    | product(e_4,e_3,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g369,plain,
    ( ~ product(e_1,e_5,e_6)
    | ~ product(e_6,e_1,e_5)
    | product(e_5,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g370,plain,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_1,e_2,e_5)
    | product(e_5,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g371,plain,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_1,e_2,e_6)
    | product(e_6,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g372,plain,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_3,e_4,e_5)
    | equalish(e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g373,plain,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_5,e_2,e_1)
    | product(e_1,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g374,plain,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_5,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g375,plain,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_5,e_2,e_4)
    | product(e_4,e_2,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g376,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_2,e_4,e_3)
    | equalish(e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g377,plain,
    ( ~ product(e_6,e_2,e_3)
    | ~ product(e_3,e_6,e_1)
    | product(e_1,e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g378,plain,
    ( ~ product(e_6,e_2,e_1)
    | ~ product(e_6,e_3,e_1)
    | equalish(e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g379,plain,
    ( ~ product(e_6,e_2,e_1)
    | ~ product(e_4,e_2,e_1)
    | equalish(e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g380,plain,
    ( ~ product(e_6,e_4,e_1)
    | ~ product(e_6,e_2,e_1)
    | equalish(e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g381,plain,
    ( ~ product(e_1,e_6,e_4)
    | ~ product(e_1,e_5,e_4)
    | equalish(e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g382,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',product_left_cancellation)]) ).

cnf(g383,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g384,plain,
    ( ~ product(e_1,e_5,e_3)
    | ~ product(e_2,e_5,e_3)
    | equalish(e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g385,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_2,e_1,e_1)
    | equalish(e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g386,plain,
    ( ~ product(e_5,e_4,e_6)
    | ~ product(e_5,e_1,e_6)
    | equalish(e_4,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g387,plain,
    ( ~ product(e_5,e_1,e_4)
    | ~ product(e_5,e_1,e_6)
    | equalish(e_4,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g388,plain,
    ( ~ product(e_1,e_2,e_6)
    | ~ product(e_6,e_1,e_4)
    | product(e_4,e_1,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g389,plain,
    ( ~ product(e_1,e_5,e_5)
    | ~ product(e_5,e_5,e_5)
    | equalish(e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g390,plain,
    ( ~ product(e_4,e_2,e_6)
    | ~ product(e_3,e_2,e_6)
    | equalish(e_4,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g391,plain,
    ( ~ product(e_4,e_2,e_6)
    | ~ product(e_4,e_2,e_1)
    | equalish(e_6,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g392,plain,
    ( ~ product(e_4,e_2,e_6)
    | ~ product(e_6,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g393,plain,
    ( ~ product(e_4,e_2,e_6)
    | ~ product(e_6,e_4,e_1)
    | product(e_1,e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g394,plain,
    ( ~ product(e_4,e_2,e_6)
    | ~ product(e_6,e_4,e_5)
    | product(e_5,e_4,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g395,plain,
    ( ~ product(e_5,e_1,e_2)
    | ~ product(e_6,e_1,e_2)
    | equalish(e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g396,plain,
    ( ~ product(e_6,e_1,e_2)
    | ~ product(e_4,e_1,e_2)
    | equalish(e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g397,plain,
    ( ~ product(e_5,e_4,e_2)
    | ~ product(e_1,e_4,e_2)
    | equalish(e_5,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g398,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(g399,plain,
    ( ~ product(e_5,e_5,e_5)
    | ~ product(e_5,e_5,e_2)
    | equalish(e_5,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g400,plain,
    ( ~ product(e_5,e_2,e_5)
    | ~ product(e_5,e_5,e_5)
    | equalish(e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g401,plain,
    ( ~ product(e_2,e_5,e_5)
    | ~ product(e_5,e_5,e_5)
    | equalish(e_2,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g402,plain,
    ( ~ product(e_5,e_6,e_6)
    | ~ product(e_6,e_6,e_6)
    | equalish(e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g403,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_1,e_2,e_3)
    | product(e_3,e_2,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g404,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',product_left_cancellation)]) ).

cnf(g405,plain,
    ( ~ product(e_2,e_6,e_3)
    | ~ product(e_3,e_2,e_5)
    | product(e_5,e_2,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g406,plain,
    ( ~ next(e_2,e_3)
    | ~ greater(e_4,e_3)
    | ~ product(e_2,e_1,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).

cnf(g407,plain,
    greater(e_4,e_3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3)]) ).

cnf(g408,plain,
    ( ~ product(e_6,e_1,e_3)
    | ~ product(e_2,e_1,e_3)
    | equalish(e_6,e_2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g409,plain,
    ( ~ product(e_2,e_3,e_6)
    | ~ product(e_2,e_3,e_4)
    | equalish(e_6,e_4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g410,plain,
    ( ~ product(e_1,e_3,e_4)
    | ~ product(e_4,e_1,e_5)
    | product(e_5,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g411,plain,
    ( ~ product(e_5,e_3,e_2)
    | ~ product(e_6,e_3,e_2)
    | equalish(e_5,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g412,plain,
    ( ~ product(e_6,e_5,e_2)
    | ~ product(e_2,e_6,e_5)
    | product(e_5,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g413,plain,
    ( ~ product(e_6,e_5,e_1)
    | ~ product(e_1,e_6,e_5)
    | product(e_5,e_6,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g414,plain,
    ( ~ product(e_4,e_5,e_1)
    | ~ product(e_1,e_4,e_2)
    | product(e_2,e_4,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g415,plain,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_4,e_5,e_1)
    | equalish(e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).

cnf(g416,plain,
    ( ~ product(e_3,e_1,e_5)
    | ~ product(e_3,e_6,e_5)
    | equalish(e_1,e_6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).

cnf(g417,plain,
    ( ~ product(e_5,e_1,e_4)
    | ~ product(e_3,e_1,e_4)
    | equalish(e_5,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g418,plain,
    ( ~ product(e_3,e_1,e_4)
    | ~ product(e_4,e_3,e_3)
    | product(e_3,e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g419,plain,
    ( ~ product(e_3,e_1,e_4)
    | ~ product(e_4,e_3,e_6)
    | product(e_6,e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g420,plain,
    ( ~ product(e_3,e_1,e_4)
    | ~ product(e_4,e_3,e_1)
    | product(e_1,e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

cnf(g421,plain,
    ( ~ next(e_3,e_4)
    | ~ greater(e_5,e_4)
    | ~ product(e_3,e_1,e_5) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).

cnf(g422,plain,
    greater(e_5,e_4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_4)]) ).

cnf(g423,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_1,e_3,e_3)
    | equalish(e_3,e_1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).

cnf(g424,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_2,e_1,e_3)
    | product(e_3,e_1,e_3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP127-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 23:11:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  % symbols: 13
% 0.19/0.46  % clauses: 63
% 0.19/0.46  % start clauses: 1
% 0.19/0.46  % iterative deepening steps: 994
% 0.19/0.46  % maximum path limit: 4
% 0.19/0.46  % literal attempts: 96474
% 0.19/0.46  % depth failures: 43033
% 0.19/0.46  % regularity failures: 1449
% 0.19/0.46  % tautology failures: 3758
% 0.19/0.46  % reductions: 26264
% 0.19/0.46  % extensions: 69583
% 0.19/0.46  % SAT variables: 3594
% 0.19/0.46  % SAT clauses: 25534
% 0.19/0.46  % WalkSAT solutions: 25465
% 0.19/0.46  % CDCL solutions: 63
% 0.19/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------