TSTP Solution File: GRP125-2.005 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : 300s
% DateTime : Thu Aug 31 00:57:56 EDT 2023
% Result : Unsatisfiable 0.48s 1.18s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 33
% Syntax : Number of clauses : 169 ( 38 unt; 27 nHn; 168 RR)
% Number of literals : 488 ( 0 equ; 263 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 129 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(c_50,plain,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(c_51,plain,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(c_58,plain,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(c_60,plain,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(c_61,plain,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3) ).
cnf(c_62,plain,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_4) ).
cnf(c_63,plain,
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
cnf(c_64,plain,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c_65,plain,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(c_66,plain,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c_67,plain,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(c_68,plain,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).
cnf(c_69,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_70,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_71,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(c_72,plain,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
cnf(c_75,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(c_76,plain,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
cnf(c_79,plain,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(c_80,plain,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
cnf(c_81,plain,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(c_83,plain,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(c_84,plain,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
cnf(c_85,plain,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
cnf(c_86,plain,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
cnf(c_88,plain,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
cnf(c_89,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| product(X0,X1,e_5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_90,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_91,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_92,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_93,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c_94,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c_95,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_222,plain,
( ~ product(e_1,e_1,X0)
| ~ greater(X0,e_2) ),
inference(resolution,[status(thm)],[c_49,c_63]) ).
cnf(c_230,plain,
( ~ product(e_2,e_1,X0)
| ~ greater(X0,e_3) ),
inference(resolution,[status(thm)],[c_50,c_63]) ).
cnf(c_238,plain,
( ~ product(e_3,e_1,X0)
| ~ greater(X0,e_4) ),
inference(resolution,[status(thm)],[c_51,c_63]) ).
cnf(c_266,plain,
~ product(e_1,e_1,e_4),
inference(resolution,[status(thm)],[c_58,c_222]) ).
cnf(c_274,plain,
~ product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_60,c_230]) ).
cnf(c_278,plain,
~ product(e_2,e_1,e_5),
inference(resolution,[status(thm)],[c_61,c_230]) ).
cnf(c_282,plain,
~ product(e_3,e_1,e_5),
inference(resolution,[status(thm)],[c_62,c_238]) ).
cnf(c_300,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_69,c_91]) ).
cnf(c_301,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_300]) ).
cnf(c_308,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_69,c_92]) ).
cnf(c_309,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_308]) ).
cnf(c_323,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_70,c_91]) ).
cnf(c_324,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_331,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_70,c_92]) ).
cnf(c_332,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_331]) ).
cnf(c_369,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_5,X1) ),
inference(resolution,[status(thm)],[c_72,c_91]) ).
cnf(c_370,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_5,e_1) ),
inference(instantiation,[status(thm)],[c_369]) ).
cnf(c_377,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_5,X0,X1) ),
inference(resolution,[status(thm)],[c_72,c_92]) ).
cnf(c_378,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_5,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_1017,plain,
( ~ product(X0,e_4,e_1)
| ~ product(e_4,X0,e_1)
| product(e_1,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1027,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1028,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1029,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1030,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1031,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1032,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1034,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1037,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_5,X1)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1038,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1045,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1049,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_5,X1)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1050,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1057,plain,
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1062,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1065,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1070,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_4,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1073,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_5,X1)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1074,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1079,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_5,X1)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1086,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1089,plain,
( ~ product(X0,e_1,X1)
| ~ product(e_1,X0,e_3)
| product(e_3,X1,e_1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1090,plain,
( ~ group_element(X0)
| ~ group_element(e_4)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| product(e_4,X0,e_5) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1093,plain,
( ~ group_element(X0)
| ~ group_element(e_5)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1094,plain,
( ~ group_element(e_1)
| ~ group_element(e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_1093]) ).
cnf(c_1096,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X0,e_4)
| product(e_4,X1,e_2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1099,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1027]) ).
cnf(c_1100,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_1101,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X0,X2)
| product(X2,X1,e_2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1110,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| product(e_2,X0,e_5) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1111,plain,
( ~ group_element(e_1)
| ~ group_element(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_2,e_1,e_4)
| product(e_2,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_1110]) ).
cnf(c_1114,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_2)
| product(e_2,X2,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1115,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_1116,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_1117,plain,
( ~ product(X0,e_3,X1)
| ~ product(e_3,X0,X2)
| product(X2,X1,e_3) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1123,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_3)
| product(X2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1128,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_3)
| product(e_3,X2,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1130,plain,
product(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_1144,plain,
product(e_5,e_5,e_5),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_1147,plain,
( ~ group_element(X0)
| ~ group_element(e_5)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| product(X0,e_5,e_5) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1148,plain,
( ~ group_element(e_1)
| ~ group_element(e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(instantiation,[status(thm)],[c_1147]) ).
cnf(c_1371,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1028]) ).
cnf(c_1373,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1029]) ).
cnf(c_1381,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1031]) ).
cnf(c_1385,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1032]) ).
cnf(c_1463,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_2)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1034]) ).
cnf(c_1505,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_4,X0,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_1065]) ).
cnf(c_1515,plain,
( ~ group_element(e_4)
| ~ group_element(e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(instantiation,[status(thm)],[c_1090]) ).
cnf(c_1640,plain,
( ~ product(X0,X1,X2)
| ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| product(e_5,X2,X1) ),
inference(superposition,[status(thm)],[c_89,c_94]) ).
cnf(c_1642,plain,
( ~ group_element(e_1)
| ~ group_element(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_2,e_1,e_4) ),
inference(superposition,[status(thm)],[c_89,c_278]) ).
cnf(c_1643,plain,
( ~ group_element(e_1)
| ~ group_element(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_1,e_4) ),
inference(superposition,[status(thm)],[c_89,c_282]) ).
cnf(c_1654,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(forward_subsumption_resolution,[status(thm)],[c_1643,c_66,c_64]) ).
cnf(c_1659,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1642,c_274,c_65,c_64]) ).
cnf(c_1815,plain,
( ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(instantiation,[status(thm)],[c_1093]) ).
cnf(c_1817,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_5,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1028]) ).
cnf(c_1831,plain,
( ~ product(e_4,X0,e_2)
| ~ product(e_5,X0,e_2)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_1086]) ).
cnf(c_1846,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_5,e_1,e_2)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_1831]) ).
cnf(c_1862,plain,
( ~ product(e_4,e_4,e_3)
| ~ product(e_4,e_4,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_1057]) ).
cnf(c_1863,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_4,e_4,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_1045]) ).
cnf(c_1882,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(global_subsumption_just,[status(thm)],[c_1654,c_95,c_70,c_332,c_1116,c_1381,c_1654]) ).
cnf(c_1944,plain,
( ~ product(e_5,e_2,e_5)
| ~ product(e_5,e_5,e_5)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_1049]) ).
cnf(c_1945,plain,
( ~ product(e_5,e_1,e_5)
| ~ product(e_5,e_5,e_5)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_1037]) ).
cnf(c_1950,plain,
( ~ product(e_4,e_5,e_5)
| ~ product(e_5,e_5,e_5)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_1074]) ).
cnf(c_1952,plain,
( ~ product(e_2,e_5,e_5)
| ~ product(e_5,e_5,e_5)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_1050]) ).
cnf(c_1953,plain,
( ~ product(e_1,e_5,e_5)
| ~ product(e_5,e_5,e_5)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_1038]) ).
cnf(c_1959,plain,
product(e_2,e_1,e_3),
inference(global_subsumption_just,[status(thm)],[c_1659,c_65,c_64,c_95,c_69,c_274,c_278,c_309,c_1100,c_1111,c_1371]) ).
cnf(c_1964,plain,
( ~ product(e_1,e_2,X0)
| product(e_3,X0,e_2) ),
inference(superposition,[status(thm)],[c_1959,c_94]) ).
cnf(c_2015,plain,
( ~ product(e_2,e_1,X0)
| ~ product(e_1,e_2,e_3)
| product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_1089]) ).
cnf(c_2020,plain,
( ~ product(e_2,X0,X1)
| ~ product(X0,e_2,e_3)
| product(X1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_1123]) ).
cnf(c_2046,plain,
( ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(instantiation,[status(thm)],[c_1110]) ).
cnf(c_2054,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_5,e_3)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_1037]) ).
cnf(c_2055,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X0,e_3)
| product(e_3,X1,e_2) ),
inference(instantiation,[status(thm)],[c_1101]) ).
cnf(c_2095,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(superposition,[status(thm)],[c_89,c_1964]) ).
cnf(c_2096,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)
| product(e_3,e_5,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2095,c_65,c_64]) ).
cnf(c_2203,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_5,e_4,e_1) ),
inference(superposition,[status(thm)],[c_1882,c_1640]) ).
cnf(c_2204,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_5,e_3,e_1) ),
inference(superposition,[status(thm)],[c_1959,c_1640]) ).
cnf(c_2211,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)
| product(e_5,e_3,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2204,c_65,c_64]) ).
cnf(c_2217,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)
| product(e_3,e_1,e_2)
| product(e_5,e_4,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2203,c_66,c_64]) ).
cnf(c_2302,plain,
( ~ product(e_3,X0,X1)
| ~ product(X0,e_3,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_1114]) ).
cnf(c_2582,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_1079]) ).
cnf(c_2598,plain,
( ~ product(e_5,X0,X1)
| ~ product(X0,e_5,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_1114]) ).
cnf(c_2681,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_3)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_2015]) ).
cnf(c_2876,plain,
( ~ product(X0,e_3,e_2)
| ~ product(e_3,X0,e_4)
| product(e_2,e_4,X0) ),
inference(instantiation,[status(thm)],[c_2302]) ).
cnf(c_2883,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_2876]) ).
cnf(c_2886,plain,
( ~ product(X0,e_3,X1)
| ~ product(e_3,X0,e_4)
| product(e_4,X1,e_3) ),
inference(instantiation,[status(thm)],[c_1117]) ).
cnf(c_2912,plain,
( ~ product(e_2,X0,e_3)
| ~ product(e_5,X0,e_3)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_1050]) ).
cnf(c_2914,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_5,e_1,e_3)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_2912]) ).
cnf(c_3461,plain,
( ~ product(e_4,e_5,e_1)
| ~ product(e_5,e_4,e_1)
| product(e_1,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1017]) ).
cnf(c_3530,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(global_subsumption_just,[status(thm)],[c_2096,c_65,c_64,c_95,c_70,c_69,c_274,c_278,c_301,c_309,c_1100,c_1111,c_1115,c_1116,c_1371,c_1373,c_2096,c_2681]) ).
cnf(c_3539,plain,
( ~ product(e_3,X0,e_2)
| product(e_1,e_2,e_4)
| equalish(e_5,X0) ),
inference(superposition,[status(thm)],[c_3530,c_91]) ).
cnf(c_3561,plain,
( ~ product(e_3,e_1,e_2)
| product(e_1,e_2,e_4)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_3539]) ).
cnf(c_3752,plain,
( ~ product(e_5,e_3,e_1)
| ~ product(e_5,e_4,e_1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_3758,plain,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_4,e_1)
| product(e_2,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_2598]) ).
cnf(c_3772,plain,
( product(e_1,e_2,e_4)
| product(e_5,e_3,e_1) ),
inference(global_subsumption_just,[status(thm)],[c_2211,c_65,c_64,c_95,c_70,c_69,c_274,c_278,c_301,c_309,c_1100,c_1111,c_1115,c_1116,c_1371,c_1373,c_2211,c_2681]) ).
cnf(c_3903,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_3,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_1505]) ).
cnf(c_4258,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_5,e_1)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_1073]) ).
cnf(c_4908,plain,
( ~ product(e_1,e_5,e_3)
| ~ product(e_4,e_5,e_3)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_1065]) ).
cnf(c_4920,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_4,e_5,e_3)
| product(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_1128]) ).
cnf(c_4923,plain,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_4920]) ).
cnf(c_5332,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_5,e_2)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_2582]) ).
cnf(c_5564,plain,
( ~ product(X0,e_3,e_4)
| ~ product(e_3,X0,e_4)
| product(e_4,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_2886]) ).
cnf(c_5565,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_1,e_4)
| product(e_4,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_5564]) ).
cnf(c_5695,plain,
( ~ product(X0,e_2,e_4)
| ~ product(e_2,X0,e_3)
| product(e_3,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_2055]) ).
cnf(c_5698,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_3)
| product(e_3,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_5695]) ).
cnf(c_5845,plain,
( ~ product(e_3,X0,e_4)
| ~ product(e_5,X0,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_1062]) ).
cnf(c_5848,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_5,e_1,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_5845]) ).
cnf(c_7349,plain,
( ~ product(X0,e_5,e_2)
| ~ product(e_5,X0,e_2)
| product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_2598]) ).
cnf(c_7360,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_5,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_7349]) ).
cnf(c_7490,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_5,e_4)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_1073]) ).
cnf(c_8034,plain,
( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_1049]) ).
cnf(c_8036,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_5,e_4)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_8034]) ).
cnf(c_8795,plain,
( ~ product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_2020]) ).
cnf(c_8810,plain,
( ~ product(e_5,e_2,X0)
| ~ product(e_2,e_5,e_4)
| product(e_4,X0,e_2) ),
inference(instantiation,[status(thm)],[c_1096]) ).
cnf(c_8811,plain,
( ~ product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_1)
| product(e_4,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_8810]) ).
cnf(c_9033,plain,
( ~ product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_4)
| product(e_4,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_8810]) ).
cnf(c_9167,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9033,c_8811,c_8795,c_8036,c_7490,c_7360,c_5848,c_5698,c_5565,c_5332,c_4923,c_4908,c_4258,c_3903,c_3772,c_3758,c_3752,c_3561,c_3461,c_2914,c_2883,c_2217,c_2054,c_2046,c_1950,c_1952,c_1953,c_1944,c_1945,c_1862,c_1863,c_1846,c_1817,c_1815,c_1654,c_1515,c_1463,c_1385,c_1381,c_1371,c_1148,c_1144,c_1130,c_1116,c_1111,c_1100,c_1099,c_1094,c_378,c_370,c_332,c_324,c_309,c_278,c_274,c_266,c_69,c_70,c_71,c_72,c_75,c_76,c_79,c_80,c_81,c_83,c_84,c_85,c_86,c_88,c_95,c_64,c_65,c_67,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 21:28:58 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.18 % SZS status Started for theBenchmark.p
% 0.48/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.18
% 0.48/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.18
% 0.48/1.18 ------ iProver source info
% 0.48/1.18
% 0.48/1.18 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.18 git: non_committed_changes: false
% 0.48/1.18 git: last_make_outside_of_git: false
% 0.48/1.18
% 0.48/1.18 ------ Parsing...successful
% 0.48/1.18
% 0.48/1.18 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.18
% 0.48/1.18
% 0.48/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.48/1.18
% 0.48/1.18 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.18 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.18 ------ Proving...
% 0.48/1.18 ------ Problem Properties
% 0.48/1.18
% 0.48/1.18
% 0.48/1.18 clauses 37
% 0.48/1.18 conjectures 1
% 0.48/1.18 EPR 37
% 0.48/1.18 Horn 36
% 0.48/1.18 unary 32
% 0.48/1.18 binary 0
% 0.48/1.18 lits 51
% 0.48/1.18 lits eq 0
% 0.48/1.18 fd_pure 0
% 0.48/1.18 fd_pseudo 0
% 0.48/1.18 fd_cond 0
% 0.48/1.18 fd_pseudo_cond 0
% 0.48/1.18 AC symbols 0
% 0.48/1.18
% 0.48/1.18 ------ Schedule EPR non Horn non eq is on
% 0.48/1.18
% 0.48/1.18 ------ no equalities: superposition off
% 0.48/1.18
% 0.48/1.18 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.48/1.18
% 0.48/1.18
% 0.48/1.18 ------
% 0.48/1.18 Current options:
% 0.48/1.18 ------
% 0.48/1.18
% 0.48/1.18
% 0.48/1.18
% 0.48/1.18
% 0.48/1.18 ------ Proving...
% 0.48/1.18
% 0.48/1.18
% 0.48/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.18
% 0.48/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.18
% 0.48/1.18
%------------------------------------------------------------------------------