TSTP Solution File: PUZ028-6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ028-6 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 18:26:45 EDT 2022

% Result   : Unsatisfiable 1.08s 1.26s
% Output   : Refutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   24
% Syntax   : Number of clauses     :  107 (  30 unt;  75 nHn; 107 RR)
%            Number of literals    :  246 (   0 equ;  12 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(person_1,axiom,
    person(n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_1) ).

cnf(person_2,axiom,
    person(n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_2) ).

cnf(person_3,axiom,
    person(n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_3) ).

cnf(person_4,axiom,
    person(n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_4) ).

cnf(person_5,axiom,
    person(n5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_5) ).

cnf(person_6,axiom,
    person(n6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_6) ).

cnf(not_equal_2_1,axiom,
    not_equal(n2,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_1) ).

cnf(not_equal_3_1,axiom,
    not_equal(n3,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_1) ).

cnf(not_equal_3_2,axiom,
    not_equal(n3,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_2) ).

cnf(not_equal_4_1,axiom,
    not_equal(n4,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_1) ).

cnf(not_equal_4_2,axiom,
    not_equal(n4,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_2) ).

cnf(not_equal_4_3,axiom,
    not_equal(n4,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_3) ).

cnf(not_equal_5_1,axiom,
    not_equal(n5,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_1) ).

cnf(not_equal_5_2,axiom,
    not_equal(n5,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_2) ).

cnf(not_equal_5_3,axiom,
    not_equal(n5,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_3) ).

cnf(not_equal_5_4,axiom,
    not_equal(n5,n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_4) ).

cnf(not_equal_6_1,axiom,
    not_equal(n6,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_1) ).

cnf(not_equal_6_2,axiom,
    not_equal(n6,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_2) ).

cnf(not_equal_6_3,axiom,
    not_equal(n6,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_3) ).

cnf(not_equal_6_4,axiom,
    not_equal(n6,n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_4) ).

cnf(not_equal_6_5,axiom,
    not_equal(n6,n5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_5) ).

cnf(familiar_or_not,axiom,
    ( familiar(X,Y)
    | not_familiar(X,Y)
    | ~ person(X)
    | ~ person(Y)
    | ~ not_equal(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',familiar_or_not) ).

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

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

cnf(40,plain,
    ( familiar(n6,n5)
    | not_familiar(n6,n5) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_6,person_5,not_equal_6_5]) ).

cnf(41,plain,
    ( familiar(n6,n4)
    | not_familiar(n6,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_6,person_4,not_equal_6_4]) ).

cnf(42,plain,
    ( familiar(n6,n3)
    | not_familiar(n6,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_6,person_3,not_equal_6_3]) ).

cnf(43,plain,
    ( familiar(n6,n2)
    | not_familiar(n6,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_6,person_2,not_equal_6_2]) ).

cnf(44,plain,
    ( familiar(n6,n1)
    | not_familiar(n6,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_6,person_1,not_equal_6_1]) ).

cnf(45,plain,
    ( familiar(n5,n4)
    | not_familiar(n5,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_5,person_4,not_equal_5_4]) ).

cnf(46,plain,
    ( familiar(n5,n3)
    | not_familiar(n5,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_5,person_3,not_equal_5_3]) ).

cnf(47,plain,
    ( familiar(n5,n2)
    | not_familiar(n5,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_5,person_2,not_equal_5_2]) ).

cnf(48,plain,
    ( familiar(n5,n1)
    | not_familiar(n5,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_5,person_1,not_equal_5_1]) ).

cnf(49,plain,
    ( familiar(n4,n3)
    | not_familiar(n4,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_4,person_3,not_equal_4_3]) ).

cnf(50,plain,
    ( familiar(n4,n2)
    | not_familiar(n4,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_4,person_2,not_equal_4_2]) ).

cnf(51,plain,
    ( familiar(n4,n1)
    | not_familiar(n4,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_4,person_1,not_equal_4_1]) ).

cnf(52,plain,
    ( familiar(n3,n2)
    | not_familiar(n3,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_3,person_2,not_equal_3_2]) ).

cnf(53,plain,
    ( familiar(n3,n1)
    | not_familiar(n3,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_3,person_1,not_equal_3_1]) ).

cnf(54,plain,
    ( familiar(n2,n1)
    | not_familiar(n2,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[familiar_or_not,person_2,person_1,not_equal_2_1]) ).

cnf(55,plain,
    ( familiar(n5,n4)
    | familiar(n6,n4)
    | familiar(n6,n5) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,45,41,40]) ).

cnf(56,plain,
    ( familiar(n5,n3)
    | familiar(n6,n3)
    | familiar(n6,n5) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,46,42,40]) ).

cnf(57,plain,
    ( familiar(n5,n2)
    | familiar(n6,n2)
    | familiar(n6,n5) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,47,43,40]) ).

cnf(58,plain,
    ( familiar(n5,n1)
    | familiar(n6,n1)
    | familiar(n6,n5) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,48,44,40]) ).

cnf(59,plain,
    ( familiar(n4,n3)
    | familiar(n6,n3)
    | familiar(n6,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,49,42,41]) ).

cnf(60,plain,
    ( familiar(n4,n3)
    | familiar(n5,n3)
    | familiar(n5,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,49,46,45]) ).

cnf(61,plain,
    ( familiar(n4,n2)
    | familiar(n6,n2)
    | familiar(n6,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,50,43,41]) ).

cnf(62,plain,
    ( familiar(n4,n2)
    | familiar(n5,n2)
    | familiar(n5,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,50,47,45]) ).

cnf(63,plain,
    ( familiar(n4,n1)
    | familiar(n6,n1)
    | familiar(n6,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,51,44,41]) ).

cnf(64,plain,
    ( familiar(n4,n1)
    | familiar(n5,n1)
    | familiar(n5,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,51,48,45]) ).

cnf(65,plain,
    ( familiar(n3,n2)
    | familiar(n6,n2)
    | familiar(n6,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,52,43,42]) ).

cnf(66,plain,
    ( familiar(n3,n2)
    | familiar(n5,n2)
    | familiar(n5,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,52,47,46]) ).

cnf(67,plain,
    ( familiar(n3,n2)
    | familiar(n4,n2)
    | familiar(n4,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,52,50,49]) ).

cnf(68,plain,
    ( familiar(n3,n1)
    | familiar(n6,n1)
    | familiar(n6,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,53,44,42]) ).

cnf(69,plain,
    ( familiar(n3,n1)
    | familiar(n5,n1)
    | familiar(n5,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,53,48,46]) ).

cnf(70,plain,
    ( familiar(n3,n1)
    | familiar(n4,n1)
    | familiar(n4,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,53,51,49]) ).

cnf(71,plain,
    ( familiar(n2,n1)
    | familiar(n6,n1)
    | familiar(n6,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,54,44,43]) ).

cnf(72,plain,
    ( familiar(n2,n1)
    | familiar(n5,n1)
    | familiar(n5,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,54,48,47]) ).

cnf(73,plain,
    ( familiar(n2,n1)
    | familiar(n4,n1)
    | familiar(n4,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,54,51,50]) ).

cnf(74,plain,
    ( familiar(n2,n1)
    | familiar(n3,n1)
    | familiar(n3,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_not_familiar,54,53,52]) ).

cnf(78,plain,
    ( familiar(n4,n2)
    | familiar(n5,n2)
    | familiar(n6,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,62,61,57]) ).

cnf(84,plain,
    ( familiar(n4,n1)
    | familiar(n5,n1)
    | familiar(n6,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,64,63,58]) ).

cnf(87,plain,
    ( familiar(n3,n2)
    | familiar(n5,n2)
    | familiar(n6,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,66,65,57]) ).

cnf(88,plain,
    ( familiar(n3,n2)
    | familiar(n4,n2)
    | familiar(n6,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,67,65,61]) ).

cnf(89,plain,
    ( familiar(n3,n2)
    | familiar(n4,n2)
    | familiar(n5,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,67,66,62]) ).

cnf(93,plain,
    ( familiar(n3,n1)
    | familiar(n5,n1)
    | familiar(n6,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,69,68,58]) ).

cnf(96,plain,
    ( familiar(n3,n1)
    | familiar(n4,n1)
    | familiar(n6,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,70,68,63]) ).

cnf(97,plain,
    ( familiar(n3,n1)
    | familiar(n4,n1)
    | familiar(n5,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,70,69,64]) ).

cnf(98,plain,
    ( familiar(n2,n1)
    | familiar(n5,n1)
    | familiar(n6,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,72,71,58]) ).

cnf(99,plain,
    ( familiar(n2,n1)
    | familiar(n4,n1)
    | familiar(n6,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,73,71,63]) ).

cnf(100,plain,
    ( familiar(n2,n1)
    | familiar(n4,n1)
    | familiar(n5,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,73,72,64]) ).

cnf(101,plain,
    ( familiar(n2,n1)
    | familiar(n3,n1)
    | familiar(n6,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,74,71,68]) ).

cnf(102,plain,
    ( familiar(n2,n1)
    | familiar(n3,n1)
    | familiar(n5,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,74,72,69]) ).

cnf(103,plain,
    ( familiar(n2,n1)
    | familiar(n3,n1)
    | familiar(n4,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,74,73,70]) ).

cnf(108,plain,
    ( familiar(n3,n2)
    | familiar(n4,n2)
    | familiar(n5,n1)
    | familiar(n6,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,89,88,58]) ).

cnf(111,plain,
    ( familiar(n3,n1)
    | familiar(n4,n1)
    | familiar(n5,n2)
    | familiar(n6,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,97,96,57]) ).

cnf(115,plain,
    ( familiar(n2,n1)
    | familiar(n4,n1)
    | familiar(n5,n3)
    | familiar(n6,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,100,99,56]) ).

cnf(119,plain,
    ( familiar(n2,n1)
    | familiar(n3,n1)
    | familiar(n5,n4)
    | familiar(n6,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,102,101,55]) ).

cnf(133,plain,
    ( familiar(n2,n1)
    | familiar(n3,n1)
    | familiar(n5,n4) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,119,103,101]) ).

cnf(134,plain,
    ( familiar(n2,n1)
    | familiar(n3,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,133,103,102]) ).

cnf(135,plain,
    ( familiar(n2,n1)
    | familiar(n4,n1)
    | familiar(n5,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,134,99,115]) ).

cnf(141,plain,
    ( familiar(n2,n1)
    | familiar(n4,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,135,134,100]) ).

cnf(144,plain,
    ( familiar(n2,n1)
    | familiar(n5,n1)
    | familiar(n4,n3)
    | familiar(n6,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,141,98,59]) ).

cnf(151,plain,
    ( familiar(n2,n1)
    | familiar(n5,n1)
    | familiar(n4,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,144,134,98]) ).

cnf(152,plain,
    ( familiar(n2,n1)
    | familiar(n4,n3)
    | familiar(n5,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,151,141,60]) ).

cnf(155,plain,
    ( familiar(n2,n1)
    | familiar(n4,n3) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,152,134,151]) ).

cnf(156,plain,
    familiar(n2,n1),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,155,134,141]) ).

cnf(159,plain,
    ( familiar(n3,n2)
    | familiar(n4,n2)
    | familiar(n5,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,156,108,88]) ).

cnf(160,plain,
    ( familiar(n3,n1)
    | familiar(n4,n1)
    | familiar(n5,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,156,96,111]) ).

cnf(167,plain,
    ( familiar(n3,n1)
    | familiar(n5,n1)
    | familiar(n4,n2)
    | familiar(n5,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,156,93,78]) ).

cnf(168,plain,
    ( familiar(n4,n1)
    | familiar(n5,n1)
    | familiar(n3,n2)
    | familiar(n5,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,156,84,87]) ).

cnf(170,plain,
    ( familiar(n3,n2)
    | familiar(n4,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,159,156,89]) ).

cnf(173,plain,
    ( familiar(n3,n1)
    | familiar(n4,n1) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,160,156,97]) ).

cnf(174,plain,
    ( familiar(n3,n1)
    | familiar(n3,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,173,156,170]) ).

cnf(179,plain,
    ( familiar(n3,n1)
    | familiar(n5,n1)
    | familiar(n4,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,167,174,69]) ).

cnf(180,plain,
    ( familiar(n3,n1)
    | familiar(n4,n2)
    | familiar(n5,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,179,173,62]) ).

cnf(182,plain,
    ( familiar(n4,n1)
    | familiar(n5,n1)
    | familiar(n3,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,168,170,64]) ).

cnf(183,plain,
    ( familiar(n3,n1)
    | familiar(n4,n2) ),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,180,156,179]) ).

cnf(184,plain,
    familiar(n3,n1),
    inference('HYPERRESOLVE',[status(thm)],[three_familiar,183,156,173]) ).

cnf(186,plain,
    ~ familiar(n3,n2),
    inference('UR-RESOLVE',[status(thm)],[three_familiar,184,156]) ).

cnf(189,plain,
    ( familiar(n5,n2)
    | familiar(n5,n3) ),
    inference('REWRITE',[status(thm)],[66,186]) ).

cnf(191,plain,
    familiar(n4,n2),
    inference('REWRITE',[status(thm)],[170,186]) ).

cnf(194,plain,
    ( familiar(n4,n1)
    | familiar(n5,n1) ),
    inference('REWRITE',[status(thm)],[182,186]) ).

cnf(199,plain,
    ~ familiar(n4,n1),
    inference('UR-RESOLVE',[status(thm)],[three_familiar,191,156]) ).

cnf(203,plain,
    familiar(n5,n1),
    inference('REWRITE',[status(thm)],[194,199]) ).

cnf(209,plain,
    ~ familiar(n5,n2),
    inference('UR-RESOLVE',[status(thm)],[three_familiar,203,156]) ).

cnf(211,plain,
    familiar(n5,n3),
    inference('REWRITE',[status(thm)],[189,209]) ).

cnf(215,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[three_familiar,203,184]),211]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ028-6 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat May 28 23:34:39 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T23:34:39
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-28T23:34:39
% 0.20/0.48  
% 0.20/0.48  ; Recognized commutativity assertion (OR (NOT (|familiar| ?X ?Y)) (|familiar| ?Y ?X)).
% 0.20/0.48  ; Recognized commutativity assertion (OR (NOT (|not_familiar| ?X ?Y)) (|not_familiar| ?Y ?X)).
% 0.20/0.48  ; Declaring familiar to be commutative.
% 1.08/1.26  ; Declaring not_familiar to be commutative.
% 1.08/1.26  
% 1.08/1.26  #||
% 1.08/1.26  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.26  % SZS output start Refutation
% See solution above
% 1.08/1.27  ||#
% 1.08/1.27  
% 1.08/1.27  ; Summary of computation:
% 1.08/1.27  ;      8193 formulas have been input or derived (from 158 formulas).
% 1.08/1.27  ;       215 ( 3%) were retained.  Of these,
% 1.08/1.27  ;          143 (67%) were simplified or subsumed later,
% 1.08/1.27  ;           72 (33%) are still being kept.
% 1.08/1.27  ; 
% 1.08/1.27  ; Run time in seconds excluding printing time:
% 1.08/1.27  ;     0.004   1%   Read assertion file          (1 call)
% 1.08/1.27  ;     0.001   0%   Assert                       (41 calls)
% 1.08/1.27  ;     0.038   5%   Process new row              (7,211 calls)
% 1.08/1.27  ;     0.203  26%   Resolution                   (314 calls)
% 1.08/1.27  ;     0.001   0%   Paramodulation               (157 calls)
% 1.08/1.27  ;     0.000   0%   Factoring                    (102 calls)
% 1.08/1.27  ;     0.017   2%   Condensing                   (5,283 calls)
% 1.08/1.27  ;     0.271  34%   Forward subsumption          (5,283 calls)
% 1.08/1.27  ;     0.003   0%   Backward subsumption         (153 calls)
% 1.08/1.27  ;     0.108  14%   Clause clause subsumption    (19,024 calls)
% 1.08/1.27  ;     0.097  12%   Forward simplification       (5,414 calls)
% 1.08/1.27  ;     0.000   0%   Backward simplification      (215 calls)
% 1.08/1.27  ;     0.000   0%   Ordering                     (685 calls)
% 1.08/1.27  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.08/1.27  ;     0.000   0%   Purity testing               (1 call)
% 1.08/1.27  ;     0.051   6%   Other
% 1.08/1.27  ;     0.794        Total
% 1.08/1.27  ;     0.802        Real time
% 1.08/1.27  ; 
% 1.08/1.27  ; Term-hash-array has 87 terms in all.
% 1.08/1.27  ; Feature-vector-row-index has 10 entries (86 at peak, 153 added, 143 deleted).
% 1.08/1.27  ; Feature-vector-row-index has 39 nodes (272 at peak, 586 added, 547 deleted).
% 1.08/1.27  ;  Retrieved 67,154 possibly forward subsuming rows in 5,283 calls.
% 1.08/1.27  ;  Retrieved 596 possibly backward subsumed rows in 153 calls.
% 1.08/1.27  ; Path-index has 86 entries (89 at peak, 96 added, 10 deleted).
% 1.08/1.27  ; Path-index has 48 nodes (48 at peak, 48 added, 0 deleted).
% 1.08/1.27  ; Trie-index has 86 entries (89 at peak, 96 added, 10 deleted).
% 1.08/1.27  ; Trie-index has 107 nodes (110 at peak, 119 added, 12 deleted).
% 1.08/1.27  ; Retrieved 68 generalization terms in 4,385 calls.
% 1.08/1.27  ; Retrieved 99 instance terms in 61 calls.
% 1.08/1.27  ; Retrieved 25,114 unifiable terms in 7,723 calls.
% 1.08/1.27  ; 
% 1.08/1.27  ; The agenda of rows to give has 10 entries:
% 1.08/1.27  ;     1 with value (4 5)           1 with value (4 20)           1 with value (4 24)
% 1.08/1.27  ;     1 with value (4 6)           3 with value (4 21)           2 with value (4 25)
% 1.08/1.27  ;     1 with value (4 7)
% 1.08/1.27  Evaluation took:
% 1.08/1.27    0.802 seconds of real time
% 1.08/1.27    0.745577 seconds of user run time
% 1.08/1.27    0.056757 seconds of system run time
% 1.08/1.27    [Run times include 0.012 seconds GC run time.]
% 1.08/1.27    0 calls to %EVAL
% 1.08/1.27    0 page faults and
% 1.08/1.27    78,388,336 bytes consed.
% 1.08/1.27  :PROOF-FOUND
% 1.08/1.27  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T23:34:40
% 1.08/1.27  :PROOF-FOUND
% 1.08/1.27  * 
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