TSTP Solution File: GRP124-9.004 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 02:21:17 EDT 2024
% Result : Unsatisfiable 0.46s 1.15s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 20
% Syntax : Number of clauses : 119 ( 27 unt; 38 nHn; 117 RR)
% Number of literals : 380 ( 0 equ; 164 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 : 100 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c_52,plain,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(c_53,plain,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c_54,plain,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(c_55,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_56,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_57,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(c_58,plain,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(c_59,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_60,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(c_63,plain,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(c_64,plain,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(c_65,plain,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(c_69,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(c_70,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(c_71,plain,
product1(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(c_73,plain,
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(c_76,plain,
product2(X0,X0,X0),
file('/export/starexec/sandbox/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/sandbox/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,negated_conjecture,
( ~ product1(X0,X1,X2)
| ~ product1(X2,X0,X3)
| product2(X3,X1,X0) ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_1069,plain,
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1072,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_2,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1074,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_2,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1078,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_3,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1081,plain,
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1084,plain,
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_4,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1086,plain,
( ~ product1(e_1,X0,X1)
| ~ product1(e_4,X0,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1098,plain,
( ~ product1(e_2,X0,X1)
| ~ product1(e_3,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1099,plain,
( ~ product2(X0,X1,e_2)
| ~ product2(X0,X1,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1104,plain,
( ~ product1(e_2,X0,X1)
| ~ product1(e_4,X0,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1120,plain,
( ~ product1(X0,e_3,X1)
| ~ product1(X0,e_4,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1134,plain,
( ~ product1(e_2,X0,X1)
| ~ product1(e_4,X0,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1143,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_1069]) ).
cnf(c_1144,plain,
product2(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_1146,plain,
product1(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1166,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_1167,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_1166]) ).
cnf(c_1175,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1184,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_1195,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_1196,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_1195]) ).
cnf(c_1199,plain,
( ~ product1(X0,e_4,X1)
| ~ product1(e_4,X2,X0)
| product2(X1,X2,e_4) ),
inference(instantiation,[status(thm)],[c_1068]) ).
cnf(c_1201,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_1081]) ).
cnf(c_1202,plain,
product2(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_1204,plain,
product1(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1208,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X1,e_4,X0)
| product2(X2,e_4,X1) ),
inference(instantiation,[status(thm)],[c_1068]) ).
cnf(c_1230,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_1068]) ).
cnf(c_1259,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_1260,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_1259]) ).
cnf(c_1283,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_1230]) ).
cnf(c_1284,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_1283,c_54]) ).
cnf(c_1320,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_1321,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_1320]) ).
cnf(c_1621,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_1072]) ).
cnf(c_1623,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_1074]) ).
cnf(c_1780,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_1078]) ).
cnf(c_1797,plain,
( ~ product1(X0,X1,X0)
| equalish(X0,X1) ),
inference(superposition,[status(thm)],[c_71,c_69]) ).
cnf(c_1831,plain,
( ~ product1(X0,X1,X1)
| equalish(X1,X0) ),
inference(superposition,[status(thm)],[c_71,c_70]) ).
cnf(c_1864,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_1099]) ).
cnf(c_1887,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_1284,c_73]) ).
cnf(c_1973,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_1120]) ).
cnf(c_1975,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_1084]) ).
cnf(c_1980,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_1104]) ).
cnf(c_1981,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_1086]) ).
cnf(c_2289,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_1887]) ).
cnf(c_2293,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_2289,c_54]) ).
cnf(c_2451,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_2293,c_1797]) ).
cnf(c_2454,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_2451,c_63,c_53]) ).
cnf(c_2663,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_1166]) ).
cnf(c_3042,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_1184]) ).
cnf(c_3110,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_2454,c_54,c_53,c_63,c_1204,c_1973,c_3042]) ).
cnf(c_3123,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_3110,c_1831]) ).
cnf(c_3124,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3123,c_63]) ).
cnf(c_3283,plain,
( ~ product1(e_2,X0,X1)
| ~ product1(X0,e_4,e_2)
| product2(X1,e_4,X0) ),
inference(instantiation,[status(thm)],[c_1208]) ).
cnf(c_3351,plain,
( ~ product1(e_2,e_4,X0)
| ~ product1(e_4,X1,e_2)
| product2(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_1199]) ).
cnf(c_3352,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_3351]) ).
cnf(c_3436,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_3124,c_1068]) ).
cnf(c_3724,plain,
( ~ product1(X0,e_4,e_2)
| ~ product1(e_2,X0,e_4)
| product2(e_4,e_4,X0) ),
inference(instantiation,[status(thm)],[c_3283]) ).
cnf(c_3725,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_3724]) ).
cnf(c_3814,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_3436]) ).
cnf(c_3816,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_3814,c_54,c_52]) ).
cnf(c_3973,plain,
( ~ product1(e_2,X0,e_4)
| ~ product1(e_3,X0,e_4)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_1098]) ).
cnf(c_3976,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_3973]) ).
cnf(c_3989,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_3816,c_54,c_52,c_60,c_1204,c_1980,c_2663]) ).
cnf(c_3997,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_3989,c_70]) ).
cnf(c_3998,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_3989,c_69]) ).
cnf(c_4000,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_3989,c_1068]) ).
cnf(c_4022,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_3998]) ).
cnf(c_4023,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_3997]) ).
cnf(c_4038,plain,
( ~ product1(e_2,X0,e_3)
| ~ product1(e_4,X0,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_1134]) ).
cnf(c_4047,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_4038]) ).
cnf(c_4100,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(global_subsumption_just,[status(thm)],[c_4000,c_54,c_52,c_51,c_79,c_64,c_58,c_57,c_55,c_251,c_331,c_1146,c_1167,c_1201,c_1202,c_1204,c_1260,c_1621,c_1981,c_3725,c_4022,c_4023]) ).
cnf(c_4110,plain,
( product1(e_2,e_4,e_1)
| equalish(e_2,e_4) ),
inference(superposition,[status(thm)],[c_4100,c_1797]) ).
cnf(c_4112,plain,
product1(e_2,e_4,e_1),
inference(forward_subsumption_resolution,[status(thm)],[c_4110,c_60]) ).
cnf(c_4117,plain,
( ~ product1(e_1,e_2,X0)
| product2(X0,e_4,e_2) ),
inference(superposition,[status(thm)],[c_4112,c_1068]) ).
cnf(c_4173,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_4117]) ).
cnf(c_4174,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_4173,c_52,c_51]) ).
cnf(c_4485,plain,
product1(e_1,e_2,e_3),
inference(global_subsumption_just,[status(thm)],[c_4174,c_79,c_60,c_55,c_235,c_1146,c_1202,c_1623,c_1864,c_4174]) ).
cnf(c_4490,plain,
( ~ product1(e_3,e_1,X0)
| product2(X0,e_2,e_1) ),
inference(superposition,[status(thm)],[c_4485,c_1068]) ).
cnf(c_4571,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_4490]) ).
cnf(c_4572,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_4571,c_53,c_51]) ).
cnf(c_4690,plain,
product1(e_3,e_1,e_2),
inference(global_subsumption_just,[status(thm)],[c_4572,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_1146,c_1167,c_1175,c_1196,c_1204,c_1321,c_1621,c_1780,c_1975,c_3352,c_3976,c_4047,c_4112]) ).
cnf(c_4697,plain,
product2(e_2,e_2,e_1),
inference(superposition,[status(thm)],[c_4690,c_4490]) ).
cnf(c_4713,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4697,c_1144,c_1143,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 00:20:45 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 0.46/1.15 % SZS status Started for theBenchmark.p
% 0.46/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.15
% 0.46/1.15 ------ iProver source info
% 0.46/1.15
% 0.46/1.15 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.15 git: non_committed_changes: false
% 0.46/1.15
% 0.46/1.15 ------ Parsing...successful
% 0.46/1.15
% 0.46/1.15 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.46/1.15 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.15 ------ Proving...
% 0.46/1.15 ------ Problem Properties
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 clauses 27
% 0.46/1.15 conjectures 1
% 0.46/1.15 EPR 27
% 0.46/1.15 Horn 25
% 0.46/1.15 unary 18
% 0.46/1.15 binary 0
% 0.46/1.15 lits 51
% 0.46/1.15 lits eq 0
% 0.46/1.15 fd_pure 0
% 0.46/1.15 fd_pseudo 0
% 0.46/1.15 fd_cond 0
% 0.46/1.15 fd_pseudo_cond 0
% 0.46/1.15 AC symbols 0
% 0.46/1.15
% 0.46/1.15 ------ Schedule EPR non Horn non eq is on
% 0.46/1.15
% 0.46/1.15 ------ no equalities: superposition off
% 0.46/1.15
% 0.46/1.15 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------
% 0.46/1.15 Current options:
% 0.46/1.15 ------
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Proving...
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 0.46/1.16
%------------------------------------------------------------------------------