TSTP Solution File: GRP129-3.004 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP129-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 11:36:56 EDT 2022
% Result : Unsatisfiable 73.49s 73.70s
% Output : Refutation 73.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 38
% Syntax : Number of clauses : 200 ( 44 unt; 148 nHn; 200 RR)
% Number of literals : 875 ( 0 equ; 51 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_0_then_e_1) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
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_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_greater_e_0) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_0) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(cycle2,axiom,
( ~ group_element(X)
| cycle(X,e_0)
| cycle(X,e_1)
| cycle(X,e_2)
| cycle(X,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle2) ).
cnf(cycle3,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle3) ).
cnf(cycle4,axiom,
( ~ cycle(X,Y)
| ~ cycle(Z,U)
| ~ next(X,Z)
| ~ greater(Y,e_0)
| ~ next(U,V)
| equalish(Y,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle4) ).
cnf(cycle5,axiom,
( ~ cycle(X,Y)
| ~ cycle(Z,e_0)
| ~ cycle(U,V)
| ~ next(Z,U)
| ~ greater(Z,X)
| ~ greater(Y,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle5) ).
cnf(cycle6,axiom,
( ~ cycle(X,e_0)
| ~ product(X,e_1,Y)
| ~ greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle6) ).
cnf(cycle7,axiom,
( ~ cycle(X,Y)
| ~ product(X,e_1,Z)
| ~ greater(Y,e_0)
| ~ next(X,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle7) ).
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(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_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_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_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(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) ),
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(qg3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Y,Z,U)
| product(Z,X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(44,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[cycle2,element_3]) ).
cnf(45,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[cycle2,element_2]) ).
cnf(46,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[cycle2,element_1]) ).
cnf(47,plain,
~ cycle(e_3,e_2),
inference('UR-RESOLVE',[status(thm)],[cycle4,cycle3,e_3_then_e_4,e_2_greater_e_0,e_0_then_e_1,e_2_is_not_e_1]) ).
cnf(48,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_3) ),
inference('REWRITE',[status(thm)],[44,47]) ).
cnf(49,plain,
~ cycle(e_3,e_3),
inference('UR-RESOLVE',[status(thm)],[cycle4,cycle3,e_3_then_e_4,e_3_greater_e_0,e_0_then_e_1,e_3_is_not_e_1]) ).
cnf(50,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1) ),
inference('REWRITE',[status(thm)],[48,49]) ).
cnf(53,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_4,element_3]) ).
cnf(54,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_4,element_2]) ).
cnf(55,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_4,element_1]) ).
cnf(56,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_4]) ).
cnf(57,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_3]) ).
cnf(58,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_2]) ).
cnf(59,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_3,element_1]) ).
cnf(60,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_4]) ).
cnf(61,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_3]) ).
cnf(62,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_2]) ).
cnf(63,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_2,element_1]) ).
cnf(64,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_4]) ).
cnf(65,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_3]) ).
cnf(66,plain,
( 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) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_2]) ).
cnf(67,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[product_total_function1,element_1,element_1]) ).
cnf(70,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_0) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cycle4,45,50,e_2_then_e_3,e_3_greater_e_0,e_1_then_e_2]),e_3_is_not_e_2]) ).
cnf(73,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[cycle5,70,45,cycle3,e_3_then_e_4,e_3_greater_e_2,e_3_greater_e_0]) ).
cnf(105,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,59,55]),e_3_is_not_e_4]) ).
cnf(106,plain,
( 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_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,59,56]),e_1_is_not_e_4]) ).
cnf(107,plain,
( 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_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,59,57]),e_1_is_not_e_3]) ).
cnf(125,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,62,58]),e_2_is_not_e_3]) ).
cnf(126,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,62,60]),e_2_is_not_e_4]) ).
cnf(127,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,62,61]),e_2_is_not_e_3]) ).
cnf(132,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,63,55]),e_2_is_not_e_4]) ).
cnf(133,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,63,59]),e_2_is_not_e_3]) ).
cnf(140,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,64,56]),e_1_is_not_e_3]) ).
cnf(143,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,64,59]) ).
cnf(148,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,65,53]),e_1_is_not_e_4]) ).
cnf(151,plain,
( 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_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,65,64]),e_3_is_not_e_4]) ).
cnf(156,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,66,54]),e_1_is_not_e_4]) ).
cnf(157,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,66,58]),e_1_is_not_e_3]) ).
cnf(158,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,66,62]),e_1_is_not_e_2]) ).
cnf(165,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,67,55]),e_1_is_not_e_4]) ).
cnf(166,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,67,59]),e_1_is_not_e_3]) ).
cnf(167,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,67,63]),e_1_is_not_e_2]) ).
cnf(220,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,105,65]) ).
cnf(228,plain,
( 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_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,106,65]) ).
cnf(275,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,126,62]) ).
cnf(287,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,127,125]) ).
cnf(388,plain,
( 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_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,151,148]) ).
cnf(420,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,158,156]),e_2_is_not_e_4]) ).
cnf(421,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,158,157]),e_2_is_not_e_3]) ).
cnf(472,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,167,165]),e_2_is_not_e_4]) ).
cnf(473,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,167,166]),e_2_is_not_e_3]) ).
cnf(731,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| 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_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,143,140]) ).
cnf(931,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,420,158]) ).
cnf(941,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_2,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,421,158]) ).
cnf(985,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,473,472]),e_3_is_not_e_4]) ).
cnf(1213,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,931,158]),e_4_is_not_e_2]) ).
cnf(1226,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,941,158]),e_3_is_not_e_2]) ).
cnf(1227,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1226,1213]),e_3_is_not_e_4]) ).
cnf(1229,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1227,275]),e_1_is_not_e_4]) ).
cnf(1244,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,985,67]) ).
cnf(1405,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,1244,67]),e_4_is_not_e_1]) ).
cnf(1406,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1405,67]) ).
cnf(1408,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1405,133]),e_1_is_not_e_3]) ).
cnf(1426,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,1406,67]),e_3_is_not_e_1]) ).
cnf(1428,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1426,132]),e_1_is_not_e_4]) ).
cnf(1684,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_4,e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1229,62]) ).
cnf(1733,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1408,1426]),e_2_is_not_e_1]) ).
cnf(1806,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,287,127]),e_3_is_not_e_2]) ).
cnf(1807,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1806,125]) ).
cnf(1808,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1807,62]) ).
cnf(1825,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,1808,62]),e_3_is_not_e_2]) ).
cnf(1826,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1825,1227]),e_2_is_not_e_1]) ).
cnf(1865,plain,
( 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_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,388,151]) ).
cnf(1963,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1684,1229]) ).
cnf(1964,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1963,62]) ).
cnf(1965,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,1963,1826]),e_4_is_not_e_3]) ).
cnf(1974,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1965,1826]) ).
cnf(1975,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1974,1964]),e_3_is_not_e_4]) ).
cnf(1983,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1975,1227]),e_2_is_not_e_1]) ).
cnf(2017,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,1428,1733]),e_4_is_not_e_3]) ).
cnf(2055,plain,
( 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_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,1865,151]) ).
cnf(2226,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2017,1426]) ).
cnf(2240,plain,
( 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_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2055,59]) ).
cnf(2373,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,2226,1426]),e_4_is_not_e_1]) ).
cnf(2374,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,2373,1426]),e_2_is_not_e_1]) ).
cnf(2375,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2374,1426]) ).
cnf(2384,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,2375,1426]),e_3_is_not_e_1]) ).
cnf(2387,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,2384,1983]),e_1_is_not_e_2]) ).
cnf(2465,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2387,2384]) ).
cnf(2466,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2465,2384]) ).
cnf(2470,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,2466,2465]),e_2_is_not_e_1]) ).
cnf(2471,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2470,2384]) ).
cnf(2472,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2471,67]) ).
cnf(2483,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,2472,67]),e_2_is_not_e_1]) ).
cnf(2484,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2483,2471]) ).
cnf(2496,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,2484,2483]),e_2_is_not_e_1]) ).
cnf(2835,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,220,59]),e_4_is_not_e_1]) ).
cnf(2836,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| 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_4,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,2835,2240]),e_1_is_not_e_3]) ).
cnf(2848,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2836,59]) ).
cnf(2882,plain,
( 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_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,228,65]) ).
cnf(3682,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| 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_4,e_1)
| product(e_3,e_4,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,731,140]),e_4_is_not_e_3]) ).
cnf(3683,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| 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_4,e_1)
| product(e_4,e_4,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,3682,143]) ).
cnf(3690,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| 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_4,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,3683,3682]),e_4_is_not_e_3]) ).
cnf(3691,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| 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_4,e_1)
| product(e_4,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,3690,59]) ).
cnf(3692,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,3690,143]) ).
cnf(3716,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| 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_4,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,3691,3690]) ).
cnf(3732,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,3692,3716]),e_4_is_not_e_3]) ).
cnf(3733,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,3732,59]) ).
cnf(3745,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,3733,3732]) ).
cnf(3746,plain,
( product(e_1,e_4,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_4,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,3745,59]) ).
cnf(3750,plain,
( product(e_1,e_4,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_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,3745,2496]),e_4_is_not_e_1]) ).
cnf(4245,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| 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_4,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2848,59]) ).
cnf(5568,plain,
( 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_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,2882,65]) ).
cnf(5954,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,4245,65]),e_4_is_not_e_3]) ).
cnf(6834,plain,
( 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_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,5568,59]),e_4_is_not_e_1]) ).
cnf(6835,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,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_4,e_1,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,6834,5954]) ).
cnf(6836,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,6835,5954]),e_2_is_not_e_1]) ).
cnf(6837,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,6836,65]) ).
cnf(6839,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,6836,107]) ).
cnf(6873,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,6837,65]),e_3_is_not_e_1]) ).
cnf(6981,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,6839,6873]) ).
cnf(6982,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,6981,6873]) ).
cnf(6983,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,6982,6873]) ).
cnf(7022,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,6983,6873]),e_3_is_not_e_1]) ).
cnf(7024,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_3,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,7022,3746]),e_1_is_not_e_4]) ).
cnf(7025,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,7022,2496]),e_3_is_not_e_1]) ).
cnf(7105,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,7024,59]) ).
cnf(7111,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,7025,2496]),e_3_is_not_e_1]) ).
cnf(7114,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,7111,3750]),e_3_is_not_e_4]) ).
cnf(7200,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,7105,59]) ).
cnf(7235,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_1,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_total_function2,7200,7024]),e_4_is_not_e_1]) ).
cnf(7237,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_1)
| cycle(e_3,e_0) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cycle7,7235,50,e_1_greater_e_0,e_3_then_e_4]),e_3_is_not_e_4]) ).
cnf(7253,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_1)
| cycle(e_3,e_0) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cycle7,7237,50,e_1_greater_e_0,e_3_then_e_4]),e_2_is_not_e_4]) ).
cnf(7254,plain,
( product(e_1,e_3,e_1)
| cycle(e_3,e_0) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cycle7,7253,50,e_1_greater_e_0,e_3_then_e_4]),e_1_is_not_e_4]) ).
cnf(7344,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_3,e_1,e_2)
| cycle(e_3,e_0) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cycle7,7114,50,e_1_greater_e_0,e_3_then_e_4]),e_3_is_not_e_4]) ).
cnf(7354,plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1)
| cycle(e_3,e_0) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cycle7,7344,50,e_1_greater_e_0,e_3_then_e_4]),e_2_is_not_e_4]) ).
cnf(7355,plain,
( product(e_1,e_1,e_1)
| cycle(e_3,e_0) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,7354,7254]) ).
cnf(7356,plain,
cycle(e_3,e_0),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_right_cancellation,7355,7254]),e_1_is_not_e_3]) ).
cnf(7361,plain,
~ cycle(e_1,e_1),
inference('UR-RESOLVE',[status(thm)],[cycle5,7356,cycle3,e_3_then_e_4,e_3_greater_e_1,e_1_greater_e_0]) ).
cnf(7362,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference('REWRITE',[status(thm)],[46,7361]) ).
cnf(7363,plain,
~ cycle(e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[cycle5,7356,cycle3,e_3_then_e_4,e_3_greater_e_1,e_2_greater_e_0]) ).
cnf(7364,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_3) ),
inference('REWRITE',[status(thm)],[7362,7363]) ).
cnf(7365,plain,
~ cycle(e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[cycle5,7356,cycle3,e_3_then_e_4,e_3_greater_e_1,e_3_greater_e_0]) ).
cnf(7366,plain,
cycle(e_1,e_0),
inference('REWRITE',[status(thm)],[7364,7365]) ).
cnf(7368,plain,
~ cycle(e_2,e_1),
inference('UR-RESOLVE',[status(thm)],[cycle5,7356,cycle3,e_3_then_e_4,e_3_greater_e_2,e_1_greater_e_0]) ).
cnf(7369,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_2) ),
inference('REWRITE',[status(thm)],[73,7368]) ).
cnf(7575,plain,
~ cycle(e_2,e_2),
inference('UR-RESOLVE',[status(thm)],[cycle5,7356,cycle3,e_3_then_e_4,e_3_greater_e_2,e_2_greater_e_0]) ).
cnf(7576,plain,
cycle(e_2,e_0),
inference('REWRITE',[status(thm)],[7369,7575]) ).
cnf(7601,plain,
~ product(e_1,e_1,e_2),
inference('UR-RESOLVE',[status(thm)],[cycle6,7366,e_2_greater_e_1]) ).
cnf(7602,plain,
product(e_1,e_1,e_1),
inference('REWRITE',[status(thm)],[2496,7601]) ).
cnf(7623,plain,
~ product(e_2,e_1,e_3),
inference('UR-RESOLVE',[status(thm)],[cycle6,7576,e_3_greater_e_2]) ).
cnf(7624,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference('REWRITE',[status(thm)],[63,7623]) ).
cnf(8044,plain,
~ product(e_2,e_1,e_4),
inference('UR-RESOLVE',[status(thm)],[cycle6,7576,e_4_greater_e_2]) ).
cnf(8050,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference('REWRITE',[status(thm)],[7624,8044]) ).
cnf(8051,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,8050,66]) ).
cnf(8085,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,8051,66]),e_2_is_not_e_1]) ).
cnf(8086,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,8085,8050]) ).
cnf(8103,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,8086,8085]),e_2_is_not_e_1]) ).
cnf(8104,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference('HYPERRESOLVE',[status(thm)],[qg3,8103,8050]) ).
cnf(8113,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[product_left_cancellation,8104,8103]),e_2_is_not_e_1]) ).
cnf(8114,plain,
product(e_2,e_1,e_1),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[qg3,8113,8050]),7601]) ).
cnf(8116,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[product_left_cancellation,8114,e_2_is_not_e_1]),7602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP129-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.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 : Tue Jun 14 08:04:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T08:04:36
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-14T08:04:36
% 73.49/73.70
% 73.49/73.70
% 73.49/73.70 #||
% 73.49/73.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.49/73.70 % SZS output start Refutation
% See solution above
% 73.49/73.73 ||#
% 73.49/73.73
% 73.49/73.73 ; Summary of computation:
% 73.49/73.73 ; 145147 formulas have been input or derived (from 940 formulas).
% 73.49/73.73 ; 8116 ( 6%) were retained. Of these,
% 73.49/73.73 ; 6920 (85%) were simplified or subsumed later,
% 73.49/73.73 ; 1196 (15%) are still being kept.
% 73.49/73.73 ;
% 73.49/73.73 ; Run time in seconds excluding printing time:
% 73.49/73.73 ; 0.005 0% Read assertion file (1 call)
% 73.49/73.73 ; 0.001 0% Assert (42 calls)
% 73.49/73.73 ; 1.226 2% Process new row (140,469 calls)
% 73.49/73.73 ; 4.088 6% Resolution (1,878 calls)
% 73.49/73.73 ; 0.004 0% Paramodulation (939 calls)
% 73.49/73.73 ; 0.005 0% Factoring (880 calls)
% 73.49/73.73 ; 0.146 0% Condensing (74,052 calls)
% 73.49/73.73 ; 42.601 58% Forward subsumption (74,052 calls)
% 73.49/73.73 ; 3.603 5% Backward subsumption (8,051 calls)
% 73.49/73.73 ; 16.383 22% Clause clause subsumption (6,740,506 calls)
% 73.49/73.73 ; 4.334 6% Forward simplification (99,309 calls)
% 73.49/73.73 ; 0.092 0% Backward simplification (8,116 calls)
% 73.49/73.73 ; 0.235 0% Ordering (192,654 calls)
% 73.49/73.73 ; 0.000 0% Sortal reasoning (32 calls)
% 73.49/73.73 ; 0.000 0% Purity testing (1 call)
% 73.49/73.73 ; 0.499 1% Other
% 73.49/73.73 ; 73.222 Total
% 73.49/73.73 ; 73.269 Real time
% 73.49/73.73 ;
% 73.49/73.73 ; Term-hash-array has 157 terms in all.
% 73.49/73.73 ; Feature-vector-row-index has 1,131 entries (2,430 at peak, 8,051 added, 6,920 deleted).
% 73.49/73.73 ; Feature-vector-row-index has 4,404 nodes (9,189 at peak, 28,387 added, 23,983 deleted).
% 73.49/73.73 ; Retrieved 13,662,731 possibly forward subsuming rows in 74,052 calls.
% 73.49/73.73 ; Retrieved 831,633 possibly backward subsumed rows in 8,051 calls.
% 73.49/73.73 ; Path-index has 161 entries (161 at peak, 183 added, 22 deleted).
% 73.49/73.73 ; Path-index has 88 nodes (88 at peak, 89 added, 1 deleted).
% 73.49/73.73 ; Trie-index has 161 entries (161 at peak, 183 added, 22 deleted).
% 73.49/73.73 ; Trie-index has 194 nodes (194 at peak, 217 added, 23 deleted).
% 73.49/73.73 ; Retrieved 77,907 generalization terms in 103,978 calls.
% 73.49/73.73 ; Retrieved 64 instance terms in 64 calls.
% 73.49/73.73 ; Retrieved 80,782 unifiable terms in 15,450 calls.
% 73.49/73.73 ;
% 73.49/73.73 ; The agenda of rows to process has 31 entries:
% 73.49/73.73 ; 17 with value 14 1 with value 42 1 with value 45
% 73.49/73.73 ; 2 with value 36 1 with value 43 2 with value 47
% 73.49/73.73 ; 2 with value 38 3 with value 44 2 with value 50
% 73.49/73.73 ; The agenda of rows to give has 928 entries:
% 73.49/73.73 ; 1 with value (4 13) 42 with value (4 53) 17 with value (4 69)
% 73.49/73.73 ; 1 with value (4 29) 50 with value (4 54) 27 with value (4 70)
% 73.49/73.73 ; 13 with value (4 36) 48 with value (4 55) 13 with value (4 71)
% 73.49/73.73 ; 1 with value (4 37) 16 with value (4 56) 14 with value (4 72)
% 73.49/73.73 ; 3 with value (4 38) 29 with value (4 57) 11 with value (4 73)
% 73.49/73.73 ; 1 with value (4 39) 22 with value (4 58) 13 with value (4 74)
% 73.49/73.73 ; 1 with value (4 40) 61 with value (4 59) 20 with value (4 75)
% 73.49/73.73 ; 1 with value (4 42) 56 with value (4 60) 8 with value (4 76)
% 73.49/73.73 ; 2 with value (4 43) 29 with value (4 61) 13 with value (4 77)
% 73.49/73.73 ; 2 with value (4 44) 50 with value (4 62) 7 with value (4 78)
% 73.49/73.73 ; 3 with value (4 45) 36 with value (4 63) 7 with value (4 79)
% 73.49/73.73 ; 1 with value (4 47) 56 with value (4 64) 2 with value (4 80)
% 73.49/73.73 ; 3 with value (4 49) 56 with value (4 65) 2 with value (4 81)
% 73.49/73.73 ; 10 with value (4 50) 36 with value (4 66) 1 with value (4 82)
% 73.49/73.73 ; 25 with value (4 51) 48 with value (4 67) 3 with value (4 83)
% 73.49/73.73 ; 34 with value (4 52) 33 with value (4 68)
% 73.49/73.73 Evaluation took:
% 73.49/73.73 73.269 seconds of real time
% 73.49/73.73 65.36941 seconds of user run time
% 73.49/73.73 7.881809 seconds of system run time
% 73.49/73.73 [Run times include 4.216 seconds GC run time.]
% 73.49/73.73 0 calls to %EVAL
% 73.49/73.73 0 page faults and
% 73.49/73.73 12,433,084,208 bytes consed.
% 73.49/73.73 :PROOF-FOUND
% 73.49/73.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T08:05:50
% 73.49/73.73 :PROOF-FOUND
% 73.49/73.73 *
%------------------------------------------------------------------------------