TSTP Solution File: GRP125-2.005 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Fri May 3 02:21:18 EDT 2024
% Result : Unsatisfiable 3.69s 1.20s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 33
% Syntax : Number of clauses : 170 ( 38 unt; 27 nHn; 169 RR)
% Number of literals : 491 ( 0 equ; 265 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 : 133 ( 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_1015,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
inference(demodulation,[status(thm)],[c_94]) ).
cnf(c_1018,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_1015]) ).
cnf(c_1028,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1029,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1030,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1031,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1032,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1033,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1035,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1038,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_5,X1)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1039,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1046,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1050,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_5,X1)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1051,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1058,plain,
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1063,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1066,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1071,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_4,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1074,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_5,X1)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1075,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1080,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_5,X1)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1087,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_5,X0,X1)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1090,plain,
( ~ product(X0,e_1,X1)
| ~ product(e_1,X0,e_3)
| product(e_3,X1,e_1) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1091,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_1094,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_1095,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_1094]) ).
cnf(c_1097,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X0,e_4)
| product(e_4,X1,e_2) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1100,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_1028]) ).
cnf(c_1101,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_1102,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X0,X2)
| product(X2,X1,e_2) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1111,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_1112,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_1111]) ).
cnf(c_1115,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_2)
| product(e_2,X2,X1) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1116,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_1031]) ).
cnf(c_1117,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_1118,plain,
( ~ product(X0,e_3,X1)
| ~ product(e_3,X0,X2)
| product(X2,X1,e_3) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1124,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_3)
| product(X2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1129,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_3)
| product(e_3,X2,X1) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_1131,plain,
product(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_1145,plain,
product(e_5,e_5,e_5),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_1148,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_1149,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_1148]) ).
cnf(c_1372,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_1029]) ).
cnf(c_1374,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_1030]) ).
cnf(c_1382,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_1032]) ).
cnf(c_1386,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_1033]) ).
cnf(c_1464,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_1035]) ).
cnf(c_1506,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_4,X0,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_1066]) ).
cnf(c_1516,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_1091]) ).
cnf(c_1641,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_1015]) ).
cnf(c_1643,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_1644,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_1655,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_1644,c_66,c_64]) ).
cnf(c_1660,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_1643,c_274,c_65,c_64]) ).
cnf(c_1816,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_1094]) ).
cnf(c_1818,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_1029]) ).
cnf(c_1832,plain,
( ~ product(e_4,X0,e_2)
| ~ product(e_5,X0,e_2)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_1087]) ).
cnf(c_1847,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_1832]) ).
cnf(c_1863,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_1058]) ).
cnf(c_1864,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_1046]) ).
cnf(c_1883,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(global_subsumption_just,[status(thm)],[c_1655,c_95,c_70,c_332,c_1117,c_1382,c_1655]) ).
cnf(c_1945,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_1050]) ).
cnf(c_1946,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_1038]) ).
cnf(c_1951,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_1075]) ).
cnf(c_1953,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_1051]) ).
cnf(c_1954,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_1039]) ).
cnf(c_1960,plain,
product(e_2,e_1,e_3),
inference(global_subsumption_just,[status(thm)],[c_1660,c_65,c_64,c_95,c_69,c_274,c_278,c_309,c_1101,c_1112,c_1372]) ).
cnf(c_1965,plain,
( ~ product(e_1,e_2,X0)
| product(e_3,X0,e_2) ),
inference(superposition,[status(thm)],[c_1960,c_1015]) ).
cnf(c_2016,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_1090]) ).
cnf(c_2021,plain,
( ~ product(e_2,X0,X1)
| ~ product(X0,e_2,e_3)
| product(X1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_1124]) ).
cnf(c_2047,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_1111]) ).
cnf(c_2055,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_1038]) ).
cnf(c_2056,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X0,e_3)
| product(e_3,X1,e_2) ),
inference(instantiation,[status(thm)],[c_1102]) ).
cnf(c_2096,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_1965]) ).
cnf(c_2097,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_2096,c_65,c_64]) ).
cnf(c_2204,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_1883,c_1641]) ).
cnf(c_2205,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_1960,c_1641]) ).
cnf(c_2212,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_2205,c_65,c_64]) ).
cnf(c_2218,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_2204,c_66,c_64]) ).
cnf(c_2303,plain,
( ~ product(e_3,X0,X1)
| ~ product(X0,e_3,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_1115]) ).
cnf(c_2583,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_1080]) ).
cnf(c_2599,plain,
( ~ product(e_5,X0,X1)
| ~ product(X0,e_5,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_1115]) ).
cnf(c_2682,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_2016]) ).
cnf(c_2877,plain,
( ~ product(X0,e_3,e_2)
| ~ product(e_3,X0,e_4)
| product(e_2,e_4,X0) ),
inference(instantiation,[status(thm)],[c_2303]) ).
cnf(c_2884,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_2877]) ).
cnf(c_2887,plain,
( ~ product(X0,e_3,X1)
| ~ product(e_3,X0,e_4)
| product(e_4,X1,e_3) ),
inference(instantiation,[status(thm)],[c_1118]) ).
cnf(c_2913,plain,
( ~ product(e_2,X0,e_3)
| ~ product(e_5,X0,e_3)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_1051]) ).
cnf(c_2915,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_2913]) ).
cnf(c_3462,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_1018]) ).
cnf(c_3531,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(global_subsumption_just,[status(thm)],[c_2097,c_65,c_64,c_95,c_70,c_69,c_274,c_278,c_301,c_309,c_1101,c_1112,c_1116,c_1117,c_1372,c_1374,c_2097,c_2682]) ).
cnf(c_3540,plain,
( ~ product(e_3,X0,e_2)
| product(e_1,e_2,e_4)
| equalish(e_5,X0) ),
inference(superposition,[status(thm)],[c_3531,c_91]) ).
cnf(c_3562,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_3540]) ).
cnf(c_3753,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_1071]) ).
cnf(c_3759,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_2599]) ).
cnf(c_3773,plain,
( product(e_1,e_2,e_4)
| product(e_5,e_3,e_1) ),
inference(global_subsumption_just,[status(thm)],[c_2212,c_65,c_64,c_95,c_70,c_69,c_274,c_278,c_301,c_309,c_1101,c_1112,c_1116,c_1117,c_1372,c_1374,c_2212,c_2682]) ).
cnf(c_3904,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_1506]) ).
cnf(c_4259,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_1074]) ).
cnf(c_4909,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_1066]) ).
cnf(c_4921,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_1129]) ).
cnf(c_4924,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_4921]) ).
cnf(c_5333,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_2583]) ).
cnf(c_5565,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_2887]) ).
cnf(c_5566,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_5565]) ).
cnf(c_5696,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_2056]) ).
cnf(c_5699,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_5696]) ).
cnf(c_5846,plain,
( ~ product(e_3,X0,e_4)
| ~ product(e_5,X0,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_1063]) ).
cnf(c_5849,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_5846]) ).
cnf(c_7350,plain,
( ~ product(X0,e_5,e_2)
| ~ product(e_5,X0,e_2)
| product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_2599]) ).
cnf(c_7361,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_7350]) ).
cnf(c_7491,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_1074]) ).
cnf(c_8035,plain,
( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_1050]) ).
cnf(c_8037,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_8035]) ).
cnf(c_8796,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_2021]) ).
cnf(c_8811,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_1097]) ).
cnf(c_8812,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_8811]) ).
cnf(c_9034,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_8811]) ).
cnf(c_9168,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9034,c_8812,c_8796,c_8037,c_7491,c_7361,c_5849,c_5699,c_5566,c_5333,c_4924,c_4909,c_4259,c_3904,c_3773,c_3759,c_3753,c_3562,c_3462,c_2915,c_2884,c_2218,c_2055,c_2047,c_1951,c_1953,c_1954,c_1945,c_1946,c_1863,c_1864,c_1847,c_1818,c_1816,c_1655,c_1516,c_1464,c_1386,c_1382,c_1372,c_1149,c_1145,c_1131,c_1117,c_1112,c_1101,c_1100,c_1095,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
% 0.10/0.14 % Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n023.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 00:01:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.69/1.20 % SZS status Started for theBenchmark.p
% 3.69/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/1.20
% 3.69/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.69/1.20
% 3.69/1.20 ------ iProver source info
% 3.69/1.20
% 3.69/1.20 git: date: 2024-05-02 19:28:25 +0000
% 3.69/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.69/1.20 git: non_committed_changes: false
% 3.69/1.20
% 3.69/1.20 ------ Parsing...successful
% 3.69/1.20
% 3.69/1.20 ------ preprocesses with Option_epr_non_horn_non_eq
% 3.69/1.20
% 3.69/1.20
% 3.69/1.20 ------ 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
% 3.69/1.20
% 3.69/1.20 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 3.69/1.20 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.69/1.20 ------ Proving...
% 3.69/1.20 ------ Problem Properties
% 3.69/1.20
% 3.69/1.20
% 3.69/1.20 clauses 37
% 3.69/1.20 conjectures 1
% 3.69/1.20 EPR 37
% 3.69/1.20 Horn 36
% 3.69/1.20 unary 32
% 3.69/1.20 binary 0
% 3.69/1.20 lits 51
% 3.69/1.20 lits eq 0
% 3.69/1.20 fd_pure 0
% 3.69/1.20 fd_pseudo 0
% 3.69/1.20 fd_cond 0
% 3.69/1.20 fd_pseudo_cond 0
% 3.69/1.20 AC symbols 0
% 3.69/1.20
% 3.69/1.20 ------ Schedule EPR non Horn non eq is on
% 3.69/1.20
% 3.69/1.20 ------ no equalities: superposition off
% 3.69/1.20
% 3.69/1.20 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.69/1.20
% 3.69/1.20
% 3.69/1.20 ------
% 3.69/1.20 Current options:
% 3.69/1.20 ------
% 3.69/1.20
% 3.69/1.20
% 3.69/1.20
% 3.69/1.20
% 3.69/1.20 ------ Proving...
% 3.69/1.20
% 3.69/1.20
% 3.69/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/1.20
% 3.69/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.20
% 3.69/1.20
%------------------------------------------------------------------------------