TSTP Solution File: GRP127-2.006 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP127-2.006 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 11:36:52 EDT 2022
% Result : Unsatisfiable 9.49s 9.67s
% Output : Refutation 9.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 48
% Syntax : Number of clauses : 161 ( 93 unt; 63 nHn; 160 RR)
% Number of literals : 354 ( 0 equ; 85 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 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_then_e_5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_then_e_5) ).
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_6_greater_e_3,axiom,
greater(e_6,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_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(e_6_greater_e_4,axiom,
greater(e_6,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_4) ).
cnf(e_6_greater_e_5,axiom,
greater(e_6,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_5) ).
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(element_6,axiom,
group_element(e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_6) ).
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_1_is_not_e_6,axiom,
~ equalish(e_1,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_6) ).
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_2_is_not_e_6,axiom,
~ equalish(e_2,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_6) ).
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_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
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_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
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_6,axiom,
~ equalish(e_5,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_6) ).
cnf(e_6_is_not_e_1,axiom,
~ equalish(e_6,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_1) ).
cnf(e_6_is_not_e_2,axiom,
~ equalish(e_6,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_2) ).
cnf(e_6_is_not_e_3,axiom,
~ equalish(e_6,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_3) ).
cnf(e_6_is_not_e_4,axiom,
~ equalish(e_6,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_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)
| product(X,Y,e_6) ),
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(Z,X,U)
| product(U,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(65,plain,
~ product(e_4,e_1,e_6),
inference('UR-RESOLVE',[status(thm)],[no_redundancy,e_4_then_e_5,e_6_greater_e_5]) ).
cnf(66,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(67,plain,
~ product(e_3,e_1,e_6),
inference('UR-RESOLVE',[status(thm)],[no_redundancy,e_3_then_e_4,e_6_greater_e_4]) ).
cnf(68,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(69,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(70,plain,
~ product(e_2,e_1,e_6),
inference('UR-RESOLVE',[status(thm)],[no_redundancy,e_2_then_e_3,e_6_greater_e_3]) ).
cnf(102,plain,
~ product(e_6,e_1,e_6),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_1_is_not_e_6]) ).
cnf(103,plain,
~ product(e_6,e_2,e_6),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_6]) ).
cnf(107,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(108,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(112,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(113,plain,
~ product(e_4,e_2,e_4),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_4]) ).
cnf(114,plain,
~ product(e_4,e_3,e_4),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_3_is_not_e_4]) ).
cnf(117,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(118,plain,
~ product(e_3,e_2,e_3),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_2_is_not_e_3]) ).
cnf(122,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(124,plain,
~ product(e_2,e_4,e_2),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_4_is_not_e_2]) ).
cnf(127,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(128,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(129,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(130,plain,
~ product(e_1,e_5,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_5_is_not_e_1]) ).
cnf(131,plain,
~ product(e_1,e_6,e_1),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,product_idempotence,e_6_is_not_e_1]) ).
cnf(132,plain,
~ product(e_1,e_6,e_6),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_1_is_not_e_6]) ).
cnf(137,plain,
~ product(e_1,e_5,e_5),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_1_is_not_e_5]) ).
cnf(143,plain,
~ product(e_2,e_4,e_4),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_2_is_not_e_4]) ).
cnf(147,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(149,plain,
~ product(e_4,e_3,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_4_is_not_e_3]) ).
cnf(153,plain,
~ product(e_3,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_3_is_not_e_2]) ).
cnf(155,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(156,plain,
~ product(e_6,e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_6_is_not_e_2]) ).
cnf(157,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(158,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(159,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(160,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(161,plain,
~ product(e_6,e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,product_idempotence,e_6_is_not_e_1]) ).
cnf(165,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_6,element_2]),103,156]) ).
cnf(166,plain,
( 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) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_6,element_1]),102,161]) ).
cnf(170,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_6) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_5,element_2]),108,155]) ).
cnf(171,plain,
( 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_6) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_5,element_1]),107,160]) ).
cnf(174,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_6) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_4,element_3]),114,149]) ).
cnf(176,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]),65,112,159]) ).
cnf(180,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_2]),118,153]) ).
cnf(181,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]),67,66,117,158]) ).
cnf(184,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_4]),143,124]) ).
cnf(186,plain,
product(e_2,e_1,e_3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]),70,69,68,122,157]) ).
cnf(187,plain,
( 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) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_6]),132,131]) ).
cnf(188,plain,
( 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_6) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_5]),137,130]) ).
cnf(190,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_6) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_3]),147,128]) ).
cnf(195,plain,
~ product(e_3,e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[qg3,186,127]) ).
cnf(196,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference('REWRITE',[status(thm)],[180,195]) ).
cnf(197,plain,
~ product(e_4,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,186,e_2_is_not_e_4]) ).
cnf(198,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_5) ),
inference('REWRITE',[status(thm)],[176,197]) ).
cnf(199,plain,
~ product(e_5,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,186,e_2_is_not_e_5]) ).
cnf(200,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_6) ),
inference('REWRITE',[status(thm)],[171,199]) ).
cnf(201,plain,
~ product(e_6,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,186,e_2_is_not_e_6]) ).
cnf(202,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5) ),
inference('REWRITE',[status(thm)],[166,201]) ).
cnf(203,plain,
~ product(e_2,e_4,e_3),
inference('UR-RESOLVE',[status(thm)],[product_right_cancellation,186,e_1_is_not_e_4]) ).
cnf(204,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference('REWRITE',[status(thm)],[184,203]) ).
cnf(209,plain,
~ product(e_1,e_5,e_2),
inference('UR-RESOLVE',[status(thm)],[qg3,186,66]) ).
cnf(210,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_6) ),
inference('REWRITE',[status(thm)],[188,209]) ).
cnf(211,plain,
~ product(e_1,e_6,e_2),
inference('UR-RESOLVE',[status(thm)],[qg3,186,67]) ).
cnf(212,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5) ),
inference('REWRITE',[status(thm)],[187,211]) ).
cnf(213,plain,
~ product(e_1,e_3,e_2),
inference('UR-RESOLVE',[status(thm)],[qg3,186,117]) ).
cnf(214,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_6) ),
inference('REWRITE',[status(thm)],[190,213]) ).
cnf(215,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_6,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,196,186]) ).
cnf(216,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,202,198]),e_6_is_not_e_4]) ).
cnf(219,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,210,202]),107]) ).
cnf(221,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,212,200]),102]) ).
cnf(222,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,214,210]),e_3_is_not_e_5]) ).
cnf(225,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,215,204]) ).
cnf(227,plain,
( product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,216,181]),e_6_is_not_e_3]) ).
cnf(238,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,165,204]) ).
cnf(254,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,170,196]),e_5_is_not_e_3]) ).
cnf(270,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,174,214]),e_4_is_not_e_1]) ).
cnf(325,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_6,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,219,181]),e_6_is_not_e_3]) ).
cnf(335,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_1,e_5,e_3)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,222,198]),107]) ).
cnf(351,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,325,210]),69]) ).
cnf(355,plain,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_6,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,351,221]),e_5_is_not_e_6]) ).
cnf(357,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,335,200]),201]) ).
cnf(456,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,270,198]),e_3_is_not_e_1]) ).
cnf(601,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,225,254]),113]) ).
cnf(660,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,456,200]),201]) ).
cnf(750,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,357,335]),197]) ).
cnf(841,plain,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,355,181]),65]) ).
cnf(842,plain,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,841,181]),e_5_is_not_e_3]) ).
cnf(843,plain,
( product(e_3,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_4,e_1,e_5) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,842,181]) ).
cnf(1060,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_2,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,238,204]),113]) ).
cnf(1061,plain,
( product(e_6,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1060,204]) ).
cnf(1074,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1061,204]) ).
cnf(2662,plain,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,601,186]) ).
cnf(2663,plain,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2662,1074]) ).
cnf(2690,plain,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,2663,2662]),e_4_is_not_e_3]) ).
cnf(2691,plain,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2690,1074]) ).
cnf(2717,plain,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,2691,2690]),e_4_is_not_e_1]) ).
cnf(2719,plain,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,2717,181]),e_2_is_not_e_1]) ).
cnf(2799,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2719,843]) ).
cnf(2818,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,2799,227]),e_5_is_not_e_6]) ).
cnf(2839,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,2818,2799]),e_4_is_not_e_5]) ).
cnf(3028,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,660,456]),197]) ).
cnf(3029,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,3028,227]),e_5_is_not_e_6]) ).
cnf(3037,plain,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,3029,181]) ).
cnf(3041,plain,
( product(e_1,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,3037,181]),128]) ).
cnf(3042,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,3041,198]),199]) ).
cnf(3043,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,3042,2839]),129]) ).
cnf(3044,plain,
product(e_3,e_1,e_2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,3043,2839]),e_3_is_not_e_4]) ).
cnf(3242,plain,
~ product(e_4,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,3044,e_3_is_not_e_4]) ).
cnf(3243,plain,
product(e_4,e_1,e_5),
inference('REWRITE',[status(thm)],[198,3242]) ).
cnf(3296,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference('REWRITE',[status(thm)],[750,3242]) ).
cnf(3706,plain,
~ product(e_5,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,3044,e_3_is_not_e_5]) ).
cnf(3819,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_5,e_3) ),
inference('REWRITE',[status(thm)],[3296,3706]) ).
cnf(4207,plain,
~ product(e_1,e_5,e_3),
inference('UR-RESOLVE',[status(thm)],[qg3,3044,69]) ).
cnf(4230,plain,
product(e_1,e_3,e_4),
inference('REWRITE',[status(thm)],[3819,4207]) ).
cnf(4551,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[qg3,3243,199]),4230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP127-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 22:54:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T22:54:14
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-13T22:54:14
% 9.49/9.67
% 9.49/9.67
% 9.49/9.67 #||
% 9.49/9.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.49/9.67 % SZS output start Refutation
% See solution above
% 9.49/9.69 ||#
% 9.49/9.69
% 9.49/9.69 ; Summary of computation:
% 9.49/9.69 ; 21099 formulas have been input or derived (from 485 formulas).
% 9.49/9.69 ; 4551 (22%) were retained. Of these,
% 9.49/9.69 ; 4099 (90%) were simplified or subsumed later,
% 9.49/9.69 ; 452 (10%) are still being kept.
% 9.49/9.69 ;
% 9.49/9.69 ; Run time in seconds excluding printing time:
% 9.49/9.69 ; 0.006 0% Read assertion file (1 call)
% 9.49/9.69 ; 0.002 0% Assert (63 calls)
% 9.49/9.69 ; 0.469 5% Process new row (20,511 calls)
% 9.49/9.69 ; 0.493 5% Resolution (968 calls)
% 9.49/9.69 ; 0.002 0% Paramodulation (484 calls)
% 9.49/9.69 ; 0.000 0% Factoring (307 calls)
% 9.49/9.69 ; 0.025 0% Condensing (11,668 calls)
% 9.49/9.69 ; 4.764 52% Forward subsumption (11,668 calls)
% 9.49/9.69 ; 1.418 15% Backward subsumption (4,348 calls)
% 9.49/9.69 ; 1.059 12% Clause clause subsumption (626,390 calls)
% 9.49/9.69 ; 0.650 7% Forward simplification (18,003 calls)
% 9.49/9.69 ; 0.129 1% Backward simplification (4,551 calls)
% 9.49/9.69 ; 0.057 1% Ordering (42,599 calls)
% 9.49/9.69 ; 0.001 0% Sortal reasoning (32 calls)
% 9.49/9.69 ; 0.000 0% Purity testing (1 call)
% 9.49/9.69 ; 0.102 1% Other
% 9.49/9.69 ; 9.177 Total
% 9.49/9.69 ; 9.192 Real time
% 9.49/9.69 ;
% 9.49/9.69 ; Term-hash-array has 299 terms in all.
% 9.49/9.69 ; Feature-vector-row-index has 249 entries (2,278 at peak, 4,348 added, 4,099 deleted).
% 9.49/9.69 ; Feature-vector-row-index has 1,704 nodes (12,989 at peak, 23,970 added, 22,266 deleted).
% 9.49/9.69 ; Retrieved 693,301 possibly forward subsuming rows in 11,668 calls.
% 9.49/9.69 ; Retrieved 243,040 possibly backward subsumed rows in 4,348 calls.
% 9.49/9.69 ; Path-index has 296 entries (301 at peak, 346 added, 50 deleted).
% 9.49/9.69 ; Path-index has 89 nodes (89 at peak, 89 added, 0 deleted).
% 9.49/9.69 ; Trie-index has 296 entries (301 at peak, 346 added, 50 deleted).
% 9.49/9.69 ; Trie-index has 357 nodes (362 at peak, 407 added, 50 deleted).
% 9.49/9.69 ; Retrieved 136,176 generalization terms in 136,247 calls.
% 9.49/9.69 ; Retrieved 246 instance terms in 202 calls.
% 9.49/9.69 ; Retrieved 39,535 unifiable terms in 7,216 calls.
% 9.49/9.69 ;
% 9.49/9.69 ; The agenda of rows to process has 3 entries:
% 9.49/9.69 ; 1 with value 22 2 with value 33
% 9.49/9.69 ; The agenda of rows to give has 258 entries:
% 9.49/9.69 ; 6 with value (4 6) 12 with value (4 21) 18 with value (4 34)
% 9.49/9.69 ; 7 with value (4 7) 3 with value (4 22) 5 with value (4 35)
% 9.49/9.69 ; 1 with value (4 10) 14 with value (4 23) 5 with value (4 36)
% 9.49/9.69 ; 2 with value (4 11) 17 with value (4 24) 5 with value (4 37)
% 9.49/9.69 ; 3 with value (4 12) 1 with value (4 25) 19 with value (4 38)
% 9.49/9.69 ; 1 with value (4 13) 3 with value (4 26) 13 with value (4 39)
% 9.49/9.69 ; 1 with value (4 14) 6 with value (4 27) 2 with value (4 41)
% 9.49/9.69 ; 2 with value (4 15) 20 with value (4 28) 2 with value (4 43)
% 9.49/9.69 ; 7 with value (4 16) 19 with value (4 29) 6 with value (4 44)
% 9.49/9.69 ; 6 with value (4 17) 6 with value (4 30) 2 with value (4 45)
% 9.49/9.69 ; 7 with value (4 18) 7 with value (4 31) 1 with value (4 46)
% 9.49/9.69 ; 1 with value (4 19) 6 with value (4 32) 1 with value (4 47)
% 9.49/9.69 ; 3 with value (4 20) 10 with value (4 33) 8 with value (4 48)
% 9.49/9.69 Evaluation took:
% 9.49/9.69 9.193 seconds of real time
% 9.49/9.69 8.332318 seconds of user run time
% 9.49/9.69 0.861078 seconds of system run time
% 9.49/9.69 [Run times include 0.455 seconds GC run time.]
% 9.49/9.69 0 calls to %EVAL
% 9.49/9.69 0 page faults and
% 9.49/9.69 1,256,002,288 bytes consed.
% 9.49/9.69 :PROOF-FOUND
% 9.49/9.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T22:54:23
% 9.49/9.69 :PROOF-FOUND
% 9.49/9.69 *
%------------------------------------------------------------------------------