TSTP Solution File: GRP126-3.004 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP126-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 02:21:19 EDT 2024
% Result : Unsatisfiable 3.36s 1.13s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of clauses : 112 ( 21 unt; 15 nHn; 111 RR)
% Number of literals : 325 ( 0 equ; 193 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 101 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_70,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_71,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_72,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_73,plain,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(c_74,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_75,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_76,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(c_77,plain,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(c_78,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_79,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(c_80,plain,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(c_81,plain,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(c_82,plain,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(c_84,plain,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(c_85,plain,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(c_86,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_87,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_88,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_89,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_90,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c_91,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).
cnf(c_92,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_672,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_74,c_88]) ).
cnf(c_673,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_672]) ).
cnf(c_680,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_74,c_89]) ).
cnf(c_681,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_680]) ).
cnf(c_688,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[c_75,c_87]) ).
cnf(c_689,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_688]) ).
cnf(c_696,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_75,c_88]) ).
cnf(c_697,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_696]) ).
cnf(c_704,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_75,c_89]) ).
cnf(c_705,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_704]) ).
cnf(c_720,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[c_76,c_88]) ).
cnf(c_721,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_720]) ).
cnf(c_728,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[c_76,c_89]) ).
cnf(c_729,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_728]) ).
cnf(c_970,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X1) ),
inference(demodulation,[status(thm)],[c_91]) ).
cnf(c_984,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_985,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_987,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_988,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_990,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_991,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_994,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_996,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_997,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_999,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_1003,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1006,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1007,plain,
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_1009,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1015,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1017,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_4,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_1042,plain,
( ~ product(X0,e_3,e_1)
| ~ product(e_3,X0,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_1050,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1051,plain,
( ~ product(X0,e_2,X1)
| ~ product(e_2,X0,X2)
| product(X1,X2,e_2) ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_1053,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1054,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) ),
inference(instantiation,[status(thm)],[c_1053]) ).
cnf(c_1059,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) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1060,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(instantiation,[status(thm)],[c_1059]) ).
cnf(c_1063,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_2)
| product(e_2,X2,X0) ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_1065,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1066,plain,
( ~ product(X0,e_3,X1)
| ~ product(e_3,X0,X2)
| product(X1,X2,e_3) ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_1068,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1069,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) ),
inference(instantiation,[status(thm)],[c_1068]) ).
cnf(c_1074,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1075,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(instantiation,[status(thm)],[c_1074]) ).
cnf(c_1080,plain,
product(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1083,plain,
( ~ group_element(X0)
| ~ group_element(e_4)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1084,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| 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(instantiation,[status(thm)],[c_1083]) ).
cnf(c_1089,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) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1090,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| 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(instantiation,[status(thm)],[c_1089]) ).
cnf(c_1249,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_984]) ).
cnf(c_1251,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_985]) ).
cnf(c_1260,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_996]) ).
cnf(c_1261,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_987]) ).
cnf(c_1264,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_997]) ).
cnf(c_1265,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_988]) ).
cnf(c_1299,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_1007]) ).
cnf(c_1307,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_4,e_4,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_990]) ).
cnf(c_1313,plain,
( ~ product(e_1,e_4,e_4)
| ~ product(e_4,e_4,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_991]) ).
cnf(c_1344,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| 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(instantiation,[status(thm)],[c_1053]) ).
cnf(c_1376,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| 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(instantiation,[status(thm)],[c_1059]) ).
cnf(c_1387,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_4,e_3)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_990]) ).
cnf(c_1445,plain,
( ~ product(e_3,X0,X1)
| ~ product(X0,e_3,e_2)
| product(e_2,X1,e_3) ),
inference(instantiation,[status(thm)],[c_1063]) ).
cnf(c_1512,plain,
( ~ product(e_2,X0,e_4)
| ~ product(e_3,X0,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_1006]) ).
cnf(c_1513,plain,
( ~ product(e_1,X0,e_4)
| ~ product(e_3,X0,e_4)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_1003]) ).
cnf(c_1519,plain,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_1,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_1512]) ).
cnf(c_1527,plain,
( ~ product(X0,e_3,X1)
| ~ product(e_3,X0,e_4)
| product(X1,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1066]) ).
cnf(c_1633,plain,
( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1017]) ).
cnf(c_1644,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1633]) ).
cnf(c_1647,plain,
( ~ product(e_4,X0,X1)
| ~ product(X0,e_4,e_2)
| product(e_2,X1,e_4) ),
inference(instantiation,[status(thm)],[c_1063]) ).
cnf(c_1847,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_4,X0,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_1009]) ).
cnf(c_1852,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_1847]) ).
cnf(c_1976,plain,
( ~ product(X0,e_3,e_2)
| ~ product(e_3,X0,e_4)
| product(e_2,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1445]) ).
cnf(c_1977,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1976]) ).
cnf(c_2249,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_3,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1445]) ).
cnf(c_2256,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1042]) ).
cnf(c_2607,plain,
( ~ product(X0,e_4,e_2)
| ~ product(e_4,X0,e_3)
| product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_1647]) ).
cnf(c_2609,plain,
( ~ product(e_2,X0,e_3)
| ~ product(e_4,X0,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_2618,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_2609]) ).
cnf(c_2620,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_2607]) ).
cnf(c_3080,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_1527]) ).
cnf(c_3089,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_3080]) ).
cnf(c_3124,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_994]) ).
cnf(c_3132,plain,
( ~ product(e_3,e_2,X0)
| ~ product(e_2,e_3,e_4)
| product(X0,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_1051]) ).
cnf(c_3133,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_3132]) ).
cnf(c_3181,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_984]) ).
cnf(c_3227,plain,
( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_3230,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_3)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_3227]) ).
cnf(c_3373,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_4)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_1513]) ).
cnf(c_4066,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3373,c_3230,c_3181,c_3133,c_3124,c_3089,c_2620,c_2618,c_2256,c_2249,c_1977,c_1852,c_1644,c_1519,c_1387,c_1376,c_1344,c_1313,c_1307,c_1299,c_1264,c_1265,c_1260,c_1261,c_1251,c_1249,c_1090,c_1084,c_1080,c_1075,c_1069,c_1065,c_1060,c_1054,c_1050,c_729,c_721,c_705,c_697,c_689,c_681,c_673,c_74,c_75,c_76,c_77,c_78,c_79,c_80,c_81,c_82,c_84,c_85,c_92,c_70,c_71,c_72,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP126-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n016.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 : 300
% 0.12/0.33 % DateTime : Fri May 3 00:22:45 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.36/1.13 % SZS status Started for theBenchmark.p
% 3.36/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.36/1.13
% 3.36/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.36/1.13
% 3.36/1.13 ------ iProver source info
% 3.36/1.13
% 3.36/1.13 git: date: 2024-05-02 19:28:25 +0000
% 3.36/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.36/1.13 git: non_committed_changes: false
% 3.36/1.13
% 3.36/1.13 ------ Parsing...successful
% 3.36/1.13
% 3.36/1.13 ------ preprocesses with Option_epr_non_horn_non_eq
% 3.36/1.13
% 3.36/1.13
% 3.36/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.36/1.13
% 3.36/1.13 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 3.36/1.13 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.36/1.13 ------ Proving...
% 3.36/1.13 ------ Problem Properties
% 3.36/1.13
% 3.36/1.13
% 3.36/1.13 clauses 43
% 3.36/1.13 conjectures 1
% 3.36/1.13 EPR 43
% 3.36/1.13 Horn 41
% 3.36/1.13 unary 32
% 3.36/1.13 binary 0
% 3.36/1.13 lits 78
% 3.36/1.13 lits eq 0
% 3.36/1.13 fd_pure 0
% 3.36/1.13 fd_pseudo 0
% 3.36/1.13 fd_cond 0
% 3.36/1.13 fd_pseudo_cond 0
% 3.36/1.13 AC symbols 0
% 3.36/1.13
% 3.36/1.13 ------ Schedule EPR non Horn non eq is on
% 3.36/1.13
% 3.36/1.13 ------ no equalities: superposition off
% 3.36/1.13
% 3.36/1.13 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.36/1.13
% 3.36/1.13
% 3.36/1.13 ------
% 3.36/1.13 Current options:
% 3.36/1.13 ------
% 3.36/1.13
% 3.36/1.13
% 3.36/1.13
% 3.36/1.13
% 3.36/1.13 ------ Proving...
% 3.36/1.13
% 3.36/1.13
% 3.36/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.36/1.13
% 3.36/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.36/1.13
% 3.36/1.13
%------------------------------------------------------------------------------