TSTP Solution File: GRP125-2.005 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP125-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 11:36:47 EDT 2022

% Result   : Unsatisfiable 0.69s 0.87s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   34
% Syntax   : Number of clauses     :  100 (  65 unt;  30 nHn;  99 RR)
%            Number of literals    :  163 (   0 equ;  63 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(e_2_then_e_3,axiom,
    next(e_2,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).

cnf(e_3_then_e_4,axiom,
    next(e_3,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).

cnf(e_4_greater_e_3,axiom,
    greater(e_4,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).

cnf(e_5_greater_e_3,axiom,
    greater(e_5,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3) ).

cnf(e_5_greater_e_4,axiom,
    greater(e_5,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_4) ).

cnf(no_redundancy,axiom,
    ( ~ product(X,e_1,Y)
    | ~ next(X,Z)
    | ~ greater(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).

cnf(element_1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

cnf(element_2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).

cnf(element_3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

cnf(element_4,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).

cnf(element_5,axiom,
    group_element(e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).

cnf(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

cnf(e_1_is_not_e_4,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).

cnf(e_1_is_not_e_5,axiom,
    ~ equalish(e_1,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).

cnf(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

cnf(e_2_is_not_e_3,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

cnf(e_2_is_not_e_4,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).

cnf(e_2_is_not_e_5,axiom,
    ~ equalish(e_2,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

cnf(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

cnf(e_3_is_not_e_4,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

cnf(e_4_is_not_e_1,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).

cnf(e_4_is_not_e_5,axiom,
    ~ equalish(e_4,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).

cnf(e_5_is_not_e_1,axiom,
    ~ equalish(e_5,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_1) ).

cnf(e_5_is_not_e_2,axiom,
    ~ equalish(e_5,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_2) ).

cnf(e_5_is_not_e_3,axiom,
    ~ equalish(e_5,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_3) ).

cnf(e_5_is_not_e_4,axiom,
    ~ equalish(e_5,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_4) ).

cnf(product_total_function1,axiom,
    ( ~ group_element(X)
    | ~ group_element(Y)
    | product(X,Y,e_1)
    | product(X,Y,e_2)
    | product(X,Y,e_3)
    | product(X,Y,e_4)
    | product(X,Y,e_5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).

cnf(product_total_function2,axiom,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).

cnf(product_right_cancellation,axiom,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,Z)
    | equalish(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).

cnf(product_left_cancellation,axiom,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,Z)
    | equalish(X,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).

cnf(product_idempotence,axiom,
    product(X,X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).

cnf(qg3,negated_conjecture,
    ( ~ product(X,Y,Z)
    | ~ product(Y,X,U)
    | product(Z,U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).

cnf(48,plain,
    ~ product(e_3,e_1,e_5),
    inference('UR-RESOLVE',[status(thm)],[no_redundancy,e_3_then_e_4,e_5_greater_e_4]) ).

cnf(49,plain,
    ~ product(e_2,e_1,e_4),
    inference('UR-RESOLVE',[status(thm)],[no_redundancy,e_2_then_e_3,e_4_greater_e_3]) ).

cnf(50,plain,
    ~ product(e_2,e_1,e_5),
    inference('UR-RESOLVE',[status(thm)],[no_redundancy,e_2_then_e_3,e_5_greater_e_3]) ).

cnf(55,plain,
    ~ product(e_5,e_5,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_1_is_not_e_5]) ).

cnf(59,plain,
    ~ product(e_4,e_4,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_1_is_not_e_4]) ).

cnf(62,plain,
    ~ product(e_4,e_4,e_5),
    inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_5_is_not_e_4]) ).

cnf(64,plain,
    ~ product(e_3,e_3,e_2),
    inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_2_is_not_e_3]) ).

cnf(68,plain,
    ~ product(e_2,e_2,e_3),
    inference('UR-RESOLVE',[status(thm)],[product_total_function2,product_idempotence,e_3_is_not_e_2]) ).

cnf(72,plain,
    ~ product(e_5,e_1,e_5),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_1_is_not_e_5]) ).

cnf(73,plain,
    ~ product(e_5,e_2,e_5),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_5]) ).

cnf(76,plain,
    ~ product(e_4,e_1,e_4),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_1_is_not_e_4]) ).

cnf(80,plain,
    ~ product(e_3,e_1,e_3),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_1_is_not_e_3]) ).

cnf(84,plain,
    ~ product(e_2,e_1,e_2),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_1_is_not_e_2]) ).

cnf(87,plain,
    ~ product(e_2,e_5,e_2),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_5_is_not_e_2]) ).

cnf(88,plain,
    ~ product(e_1,e_2,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_1]) ).

cnf(89,plain,
    ~ product(e_1,e_3,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_3_is_not_e_1]) ).

cnf(90,plain,
    ~ product(e_1,e_4,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_4_is_not_e_1]) ).

cnf(93,plain,
    ~ product(e_2,e_5,e_5),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_2_is_not_e_5]) ).

cnf(96,plain,
    ~ product(e_1,e_4,e_4),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_1_is_not_e_4]) ).

cnf(100,plain,
    ~ product(e_1,e_3,e_3),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_1_is_not_e_3]) ).

cnf(104,plain,
    ~ product(e_1,e_2,e_2),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_1_is_not_e_2]) ).

cnf(107,plain,
    ~ product(e_5,e_2,e_2),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_5_is_not_e_2]) ).

cnf(108,plain,
    ~ product(e_2,e_1,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_2_is_not_e_1]) ).

cnf(109,plain,
    ~ product(e_3,e_1,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_3_is_not_e_1]) ).

cnf(110,plain,
    ~ product(e_4,e_1,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_4_is_not_e_1]) ).

cnf(111,plain,
    ~ product(e_5,e_1,e_1),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_5_is_not_e_1]) ).

cnf(114,plain,
    ( product(e_5,e_2,e_1)
    | product(e_5,e_2,e_3)
    | product(e_5,e_2,e_4) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_5,element_2]),73,107]) ).

cnf(115,plain,
    ( product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_5,element_1]),72,111]) ).

cnf(119,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_5) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_4,element_1]),76,110]) ).

cnf(123,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_4) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_1]),48,80,109]) ).

cnf(124,plain,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_5]),93,87]) ).

cnf(127,plain,
    product(e_2,e_1,e_3),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]),50,49,84,108]) ).

cnf(129,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_4]),96,90]) ).

cnf(130,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_3]),100,89]) ).

cnf(131,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_4)
    | product(e_1,e_2,e_5) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]),104,88]) ).

cnf(135,plain,
    ~ product(e_1,e_2,e_3),
    inference('UR-RESOLVE',[status(thm)],[qg3,127,64]) ).

cnf(136,plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_5) ),
    inference('REWRITE',[status(thm)],[131,135]) ).

cnf(137,plain,
    ~ product(e_4,e_1,e_3),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,127,e_2_is_not_e_4]) ).

cnf(138,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_5) ),
    inference('REWRITE',[status(thm)],[119,137]) ).

cnf(139,plain,
    ~ product(e_5,e_1,e_3),
    inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,127,e_2_is_not_e_5]) ).

cnf(140,plain,
    ( product(e_5,e_1,e_2)
    | product(e_5,e_1,e_4) ),
    inference('REWRITE',[status(thm)],[115,139]) ).

cnf(141,plain,
    ~ product(e_2,e_4,e_3),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,127,e_1_is_not_e_4]) ).

cnf(143,plain,
    ~ product(e_2,e_5,e_3),
    inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,127,e_1_is_not_e_5]) ).

cnf(144,plain,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4) ),
    inference('REWRITE',[status(thm)],[124,143]) ).

cnf(146,plain,
    ( product(e_1,e_2,e_4)
    | product(e_3,e_5,e_2) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,136,127]) ).

cnf(147,plain,
    ( product(e_5,e_1,e_2)
    | product(e_3,e_1,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,140,123]),e_5_is_not_e_3]) ).

cnf(150,plain,
    ( product(e_5,e_2,e_1)
    | product(e_5,e_2,e_3)
    | product(e_2,e_5,e_1) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,114,144]),62]) ).

cnf(176,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,129,138]),55]) ).

cnf(178,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_2,e_4) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,130,136]),e_3_is_not_e_2]) ).

cnf(190,plain,
    ( product(e_5,e_2,e_1)
    | product(e_2,e_5,e_1)
    | product(e_4,e_3,e_2) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,150,144]) ).

cnf(245,plain,
    ( product(e_1,e_4,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_5,e_1) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,176,138]) ).

cnf(250,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_4)
    | product(e_3,e_1,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,178,123]),59]) ).

cnf(257,plain,
    ( product(e_2,e_5,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_1,e_2) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,190,144]) ).

cnf(293,plain,
    ( product(e_1,e_4,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_2,e_4) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,245,146]),e_1_is_not_e_2]) ).

cnf(301,plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,250,127]) ).

cnf(315,plain,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,257,245]),e_2_is_not_e_3]) ).

cnf(360,plain,
    ( product(e_1,e_4,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_1) ),
    inference('HYPERRESOLVE',[status(thm)],[qg3,293,127]) ).

cnf(412,plain,
    ( product(e_1,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,360,315]),e_1_is_not_e_2]) ).

cnf(415,plain,
    ( product(e_1,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,412,147]),e_4_is_not_e_5]) ).

cnf(427,plain,
    ( product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,415,301]),e_1_is_not_e_3]) ).

cnf(432,plain,
    product(e_3,e_1,e_2),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,427,415]),e_3_is_not_e_4]) ).

cnf(435,plain,
    ~ product(e_1,e_3,e_2),
    inference('UR-RESOLVE',[status(thm)],[qg3,432,68]) ).

cnf(436,plain,
    ( product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference('REWRITE',[status(thm)],[130,435]) ).

cnf(451,plain,
    ~ product(e_1,e_3,e_5),
    inference('UR-RESOLVE',[status(thm)],[qg3,432,143]) ).

cnf(452,plain,
    product(e_1,e_3,e_4),
    inference('REWRITE',[status(thm)],[436,451]) ).

cnf(453,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[qg3,432,141]),452]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP125-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 13:17:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T13:17:55
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-13T13:17:55
% 0.69/0.87  
% 0.69/0.87  
% 0.69/0.87  #||
% 0.69/0.87  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.87  % SZS output start Refutation
% See solution above
% 0.71/0.88  ||#
% 0.71/0.88  
% 0.71/0.88  ; Summary of computation:
% 0.71/0.88  ;      3752 formulas have been input or derived (from 220 formulas).
% 0.71/0.88  ;       453 (12%) were retained.  Of these,
% 0.71/0.88  ;          215 (47%) were simplified or subsumed later,
% 0.71/0.88  ;          238 (53%) are still being kept.
% 0.71/0.88  ; 
% 0.71/0.88  ; Run time in seconds excluding printing time:
% 0.71/0.88  ;     0.005   1%   Read assertion file          (1 call)
% 0.71/0.88  ;     0.001   0%   Assert                       (46 calls)
% 0.71/0.88  ;     0.038   9%   Process new row              (3,538 calls)
% 0.71/0.88  ;     0.068  17%   Resolution                   (438 calls)
% 0.71/0.88  ;     0.002   0%   Paramodulation               (219 calls)
% 0.71/0.88  ;     0.001   0%   Factoring                    (98 calls)
% 0.71/0.88  ;     0.005   1%   Condensing                   (1,559 calls)
% 0.71/0.88  ;     0.114  28%   Forward subsumption          (1,559 calls)
% 0.71/0.88  ;     0.030   7%   Backward subsumption         (332 calls)
% 0.71/0.88  ;     0.029   7%   Clause clause subsumption    (17,449 calls)
% 0.71/0.88  ;     0.064  16%   Forward simplification       (3,258 calls)
% 0.71/0.88  ;     0.003   1%   Backward simplification      (453 calls)
% 0.71/0.88  ;     0.005   1%   Ordering                     (3,796 calls)
% 0.71/0.88  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.71/0.88  ;     0.000   0%   Purity testing               (1 call)
% 0.71/0.88  ;     0.038   9%   Other
% 0.71/0.88  ;     0.403        Total
% 0.71/0.88  ;     0.414        Real time
% 0.71/0.88  ; 
% 0.71/0.88  ; Term-hash-array has 186 terms in all.
% 0.71/0.88  ; Feature-vector-row-index has 117 entries (222 at peak, 332 added, 215 deleted).
% 0.71/0.88  ; Feature-vector-row-index has 378 nodes (560 at peak, 732 added, 354 deleted).
% 0.71/0.88  ;  Retrieved 28,177 possibly forward subsuming rows in 1,559 calls.
% 0.71/0.88  ;  Retrieved 4,651 possibly backward subsumed rows in 332 calls.
% 0.71/0.88  ; Path-index has 190 entries (191 at peak, 203 added, 13 deleted).
% 0.71/0.88  ; Path-index has 78 nodes (78 at peak, 78 added, 0 deleted).
% 0.71/0.88  ; Trie-index has 190 entries (191 at peak, 203 added, 13 deleted).
% 0.71/0.88  ; Trie-index has 236 nodes (237 at peak, 249 added, 13 deleted).
% 0.71/0.88  ; Retrieved 12,213 generalization terms in 12,262 calls.
% 0.71/0.88  ; Retrieved 153 instance terms in 120 calls.
% 0.71/0.88  ; Retrieved 14,867 unifiable terms in 3,129 calls.
% 0.71/0.88  ; 
% 0.71/0.88  ; The agenda of rows to process has 50 entries:
% 0.71/0.88  ;    26 with value 15             12 with value 24               4 with value 25
% 0.71/0.88  ;     8 with value 19
% 0.71/0.88  ; The agenda of rows to give has 69 entries:
% 0.71/0.88  ;     1 with value (4 6)           2 with value (4 19)          11 with value (4 24)
% 0.71/0.88  ;     2 with value (4 14)          1 with value (4 20)           6 with value (4 25)
% 0.71/0.88  ;     3 with value (4 15)          5 with value (4 21)           2 with value (4 26)
% 0.71/0.88  ;     3 with value (4 16)         14 with value (4 22)           8 with value (4 28)
% 0.71/0.88  ;     1 with value (4 18)          9 with value (4 23)           1 with value (4 30)
% 0.71/0.88  Evaluation took:
% 0.71/0.88    0.415 seconds of real time
% 0.71/0.88    0.362586 seconds of user run time
% 0.71/0.88    0.051757 seconds of system run time
% 0.71/0.88    [Run times include 0.012 seconds GC run time.]
% 0.71/0.88    0 calls to %EVAL
% 0.71/0.88    0 page faults and
% 0.71/0.88    38,783,224 bytes consed.
% 0.71/0.88  :PROOF-FOUND
% 0.71/0.88  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T13:17:56
% 0.71/0.88  :PROOF-FOUND
% 0.71/0.88  * 
%------------------------------------------------------------------------------