TSTP Solution File: GRP124-9.004 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 00:57:55 EDT 2023
% Result : Unsatisfiable 3.08s 1.15s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of clauses : 118 ( 27 unt; 38 nHn; 116 RR)
% Number of literals : 377 ( 0 equ; 162 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 96 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_52,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_53,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_54,plain,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(c_55,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_56,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_57,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(c_58,plain,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(c_59,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_60,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(c_63,plain,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(c_64,plain,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(c_65,plain,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(c_67,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product1(X0,X1,e_4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(c_69,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(c_70,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(c_71,plain,
product1(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(c_73,plain,
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(c_76,plain,
product2(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(c_77,negated_conjecture,
( ~ product1(X0,X1,X2)
| ~ product1(X2,X0,X3)
| product2(X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2a) ).
cnf(c_78,plain,
product2(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_79,plain,
product1(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_234,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_55,c_69]) ).
cnf(c_235,plain,
( ~ product1(e_1,e_1,e_1)
| ~ product1(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_250,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_55,c_70]) ).
cnf(c_251,plain,
( ~ product1(e_1,e_1,e_1)
| ~ product1(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_250]) ).
cnf(c_298,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_56,c_70]) ).
cnf(c_299,plain,
( ~ product1(e_1,e_1,e_1)
| ~ product1(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_298]) ).
cnf(c_306,plain,
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_4) ),
inference(resolution,[status(thm)],[c_57,c_73]) ).
cnf(c_307,plain,
( ~ product2(e_1,e_1,e_1)
| ~ product2(e_1,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_306]) ).
cnf(c_330,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_4,X1) ),
inference(resolution,[status(thm)],[c_57,c_69]) ).
cnf(c_331,plain,
( ~ product1(e_1,e_1,e_1)
| ~ product1(e_1,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_330]) ).
cnf(c_346,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_4,X0,X1) ),
inference(resolution,[status(thm)],[c_57,c_70]) ).
cnf(c_347,plain,
( ~ product1(e_1,e_1,e_1)
| ~ product1(e_4,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_346]) ).
cnf(c_1068,plain,
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1071,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_2,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1073,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_2,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1077,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1080,plain,
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1083,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_4,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1085,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_4,X0,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1097,plain,
( ~ product1(e_2,X0,X1)
| ~ product1(e_3,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1098,plain,
( ~ product2(X0,X1,e_2)
| ~ product2(X0,X1,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1103,plain,
( ~ product1(e_2,X0,X1)
| ~ product1(e_4,X0,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1119,plain,
( ~ product1(X0,e_3,X1)
| ~ product1(X0,e_4,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1133,plain,
( ~ product1(e_2,X0,X1)
| ~ product1(e_4,X0,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1142,plain,
( ~ product2(e_2,e_2,e_1)
| ~ product2(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1068]) ).
cnf(c_1143,plain,
product2(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_1145,plain,
product1(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1165,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product1(e_2,X0,e_1)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_1166,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1165]) ).
cnf(c_1174,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1183,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product1(X0,e_3,e_1)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3)
| product1(X0,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_1194,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_1195,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1194]) ).
cnf(c_1198,plain,
( ~ product1(X0,e_4,X1)
| ~ product1(e_4,X2,X0)
| product2(X1,X2,e_4) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_1200,plain,
( ~ product2(e_4,e_4,e_1)
| ~ product2(e_4,e_4,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1080]) ).
cnf(c_1201,plain,
product2(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_1203,plain,
product1(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1207,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X1,e_4,X0)
| product2(X2,e_4,X1) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_1229,plain,
( ~ product1(e_4,X0,X1)
| ~ group_element(X0)
| ~ group_element(X2)
| product2(X1,X2,X0)
| product1(X0,X2,e_1)
| product1(X0,X2,e_2)
| product1(X0,X2,e_3) ),
inference(superposition,[status(thm)],[c_67,c_77]) ).
cnf(c_1258,plain,
( ~ group_element(X0)
| ~ group_element(e_4)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_1259,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_1258]) ).
cnf(c_1282,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| ~ group_element(e_4)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product2(e_4,X1,X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3) ),
inference(superposition,[status(thm)],[c_67,c_1229]) ).
cnf(c_1283,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product2(e_4,X1,X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1282,c_54]) ).
cnf(c_1319,plain,
( ~ group_element(X0)
| ~ group_element(e_4)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_1320,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1319]) ).
cnf(c_1620,plain,
( ~ product1(e_2,e_1,e_2)
| ~ product1(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1071]) ).
cnf(c_1622,plain,
( ~ product1(e_1,e_2,e_2)
| ~ product1(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1073]) ).
cnf(c_1779,plain,
( ~ product1(e_3,e_1,e_3)
| ~ product1(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1077]) ).
cnf(c_1796,plain,
( ~ product1(X0,X1,X0)
| equalish(X0,X1) ),
inference(superposition,[status(thm)],[c_71,c_69]) ).
cnf(c_1830,plain,
( ~ product1(X0,X1,X1)
| equalish(X1,X0) ),
inference(superposition,[status(thm)],[c_71,c_70]) ).
cnf(c_1863,plain,
( ~ product2(e_4,e_4,e_2)
| ~ product2(e_4,e_4,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_1098]) ).
cnf(c_1886,plain,
( ~ product2(e_4,X0,X1)
| ~ group_element(X0)
| ~ group_element(X2)
| product1(X2,X0,e_1)
| product1(X2,X0,e_2)
| product1(X2,X0,e_3)
| product1(e_4,X2,e_1)
| product1(e_4,X2,e_2)
| product1(e_4,X2,e_3)
| equalish(X2,X1) ),
inference(superposition,[status(thm)],[c_1283,c_73]) ).
cnf(c_1972,plain,
( ~ product1(e_4,e_3,e_4)
| ~ product1(e_4,e_4,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_1119]) ).
cnf(c_1974,plain,
( ~ product1(e_4,e_1,e_4)
| ~ product1(e_4,e_4,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1083]) ).
cnf(c_1979,plain,
( ~ product1(e_2,e_4,e_4)
| ~ product1(e_4,e_4,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_1103]) ).
cnf(c_1980,plain,
( ~ product1(e_1,e_4,e_4)
| ~ product1(e_4,e_4,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1085]) ).
cnf(c_2288,plain,
( ~ group_element(X0)
| ~ group_element(e_4)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3)
| equalish(X0,e_4) ),
inference(superposition,[status(thm)],[c_76,c_1886]) ).
cnf(c_2292,plain,
( ~ group_element(X0)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3)
| equalish(X0,e_4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2288,c_54]) ).
cnf(c_2450,plain,
( ~ group_element(e_3)
| product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2)
| product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| equalish(e_3,e_4) ),
inference(superposition,[status(thm)],[c_2292,c_1796]) ).
cnf(c_2453,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2)
| product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2450,c_63,c_53]) ).
cnf(c_2662,plain,
( ~ group_element(e_2)
| ~ group_element(e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_1165]) ).
cnf(c_3041,plain,
( ~ group_element(e_3)
| ~ group_element(e_4)
| product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_1183]) ).
cnf(c_3109,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3) ),
inference(global_subsumption_just,[status(thm)],[c_2453,c_54,c_53,c_63,c_1203,c_1972,c_3041]) ).
cnf(c_3122,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| equalish(e_3,e_4) ),
inference(superposition,[status(thm)],[c_3109,c_1830]) ).
cnf(c_3123,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3122,c_63]) ).
cnf(c_3282,plain,
( ~ product1(e_2,X0,X1)
| ~ product1(X0,e_4,e_2)
| product2(X1,e_4,X0) ),
inference(instantiation,[status(thm)],[c_1207]) ).
cnf(c_3350,plain,
( ~ product1(e_2,e_4,X0)
| ~ product1(e_4,X1,e_2)
| product2(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_1198]) ).
cnf(c_3351,plain,
( ~ product1(e_2,e_4,e_1)
| ~ product1(e_4,e_1,e_2)
| product2(e_1,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_3350]) ).
cnf(c_3435,plain,
( ~ product1(e_2,e_4,X0)
| product2(X0,e_3,e_4)
| product1(e_4,e_3,e_1) ),
inference(superposition,[status(thm)],[c_3123,c_77]) ).
cnf(c_3723,plain,
( ~ product1(X0,e_4,e_2)
| ~ product1(e_2,X0,e_4)
| product2(e_4,e_4,X0) ),
inference(instantiation,[status(thm)],[c_3282]) ).
cnf(c_3724,plain,
( ~ product1(e_1,e_4,e_2)
| ~ product1(e_2,e_1,e_4)
| product2(e_4,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_3723]) ).
cnf(c_3813,plain,
( ~ group_element(e_2)
| ~ group_element(e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_4,e_3,e_1)
| product2(e_4,e_3,e_4) ),
inference(superposition,[status(thm)],[c_67,c_3435]) ).
cnf(c_3815,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_4,e_3,e_1)
| product2(e_4,e_3,e_4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3813,c_54,c_52]) ).
cnf(c_3972,plain,
( ~ product1(e_2,X0,e_4)
| ~ product1(e_3,X0,e_4)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_1097]) ).
cnf(c_3975,plain,
( ~ product1(e_2,e_1,e_4)
| ~ product1(e_3,e_1,e_4)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_3972]) ).
cnf(c_3988,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(global_subsumption_just,[status(thm)],[c_3815,c_54,c_52,c_60,c_1203,c_1979,c_2662]) ).
cnf(c_3996,plain,
( ~ product1(X0,e_4,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(e_2,X0) ),
inference(superposition,[status(thm)],[c_3988,c_70]) ).
cnf(c_3997,plain,
( ~ product1(e_2,X0,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(e_4,X0) ),
inference(superposition,[status(thm)],[c_3988,c_69]) ).
cnf(c_3999,plain,
( ~ product1(e_3,e_2,X0)
| product2(X0,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(superposition,[status(thm)],[c_3988,c_77]) ).
cnf(c_4021,plain,
( ~ product1(e_2,e_1,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_3997]) ).
cnf(c_4022,plain,
( ~ product1(e_1,e_4,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_3996]) ).
cnf(c_4037,plain,
( ~ product1(e_2,X0,e_3)
| ~ product1(e_4,X0,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_1133]) ).
cnf(c_4046,plain,
( ~ product1(e_2,e_1,e_3)
| ~ product1(e_4,e_1,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_4037]) ).
cnf(c_4099,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(global_subsumption_just,[status(thm)],[c_3999,c_54,c_52,c_51,c_79,c_64,c_58,c_57,c_55,c_251,c_331,c_1145,c_1166,c_1200,c_1201,c_1203,c_1259,c_1620,c_1980,c_3724,c_4021,c_4022]) ).
cnf(c_4109,plain,
( product1(e_2,e_4,e_1)
| equalish(e_2,e_4) ),
inference(superposition,[status(thm)],[c_4099,c_1796]) ).
cnf(c_4111,plain,
product1(e_2,e_4,e_1),
inference(forward_subsumption_resolution,[status(thm)],[c_4109,c_60]) ).
cnf(c_4116,plain,
( ~ product1(e_1,e_2,X0)
| product2(X0,e_4,e_2) ),
inference(superposition,[status(thm)],[c_4111,c_77]) ).
cnf(c_4172,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product2(e_4,e_4,e_2) ),
inference(superposition,[status(thm)],[c_67,c_4116]) ).
cnf(c_4173,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product2(e_4,e_4,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4172,c_52,c_51]) ).
cnf(c_4484,plain,
product1(e_1,e_2,e_3),
inference(global_subsumption_just,[status(thm)],[c_4173,c_79,c_60,c_55,c_235,c_1145,c_1201,c_1622,c_1863,c_4173]) ).
cnf(c_4489,plain,
( ~ product1(e_3,e_1,X0)
| product2(X0,e_2,e_1) ),
inference(superposition,[status(thm)],[c_4484,c_77]) ).
cnf(c_4570,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_4,e_2,e_1) ),
inference(superposition,[status(thm)],[c_67,c_4489]) ).
cnf(c_4571,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_4,e_2,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4570,c_53,c_51]) ).
cnf(c_4689,plain,
product1(e_3,e_1,e_2),
inference(global_subsumption_just,[status(thm)],[c_4571,c_54,c_53,c_52,c_51,c_78,c_79,c_65,c_59,c_57,c_56,c_55,c_251,c_299,c_307,c_347,c_1145,c_1166,c_1174,c_1195,c_1203,c_1320,c_1620,c_1779,c_1974,c_3351,c_3975,c_4046,c_4111]) ).
cnf(c_4696,plain,
product2(e_2,e_2,e_1),
inference(superposition,[status(thm)],[c_4689,c_4489]) ).
cnf(c_4712,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4696,c_1143,c_1142,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:23:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.08/1.15 % SZS status Started for theBenchmark.p
% 3.08/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.08/1.15
% 3.08/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.08/1.15
% 3.08/1.15 ------ iProver source info
% 3.08/1.15
% 3.08/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.08/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.08/1.15 git: non_committed_changes: false
% 3.08/1.15 git: last_make_outside_of_git: false
% 3.08/1.15
% 3.08/1.15 ------ Parsing...successful
% 3.08/1.15
% 3.08/1.15 ------ preprocesses with Option_epr_non_horn_non_eq
% 3.08/1.15
% 3.08/1.15
% 3.08/1.15 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.08/1.15
% 3.08/1.15 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 3.08/1.15 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.08/1.15 ------ Proving...
% 3.08/1.15 ------ Problem Properties
% 3.08/1.15
% 3.08/1.15
% 3.08/1.15 clauses 27
% 3.08/1.15 conjectures 1
% 3.08/1.15 EPR 27
% 3.08/1.15 Horn 25
% 3.08/1.15 unary 18
% 3.08/1.15 binary 0
% 3.08/1.15 lits 51
% 3.08/1.15 lits eq 0
% 3.08/1.15 fd_pure 0
% 3.08/1.15 fd_pseudo 0
% 3.08/1.15 fd_cond 0
% 3.08/1.15 fd_pseudo_cond 0
% 3.08/1.15 AC symbols 0
% 3.08/1.15
% 3.08/1.15 ------ Schedule EPR non Horn non eq is on
% 3.08/1.15
% 3.08/1.15 ------ no equalities: superposition off
% 3.08/1.15
% 3.08/1.15 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.08/1.15
% 3.08/1.15
% 3.08/1.15 ------
% 3.08/1.15 Current options:
% 3.08/1.15 ------
% 3.08/1.15
% 3.08/1.15
% 3.08/1.15
% 3.08/1.15
% 3.08/1.15 ------ Proving...
% 3.08/1.15
% 3.08/1.15
% 3.08/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.08/1.15
% 3.08/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.08/1.16
% 3.08/1.16
%------------------------------------------------------------------------------