TSTP Solution File: GRP129-1.003 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 00:58:04 EDT 2023
% Result : Unsatisfiable 0.48s 1.17s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 126 ( 7 unt; 39 nHn; 126 RR)
% Number of literals : 419 ( 0 equ; 244 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 109 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c_50,plain,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(c_51,plain,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c_52,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_53,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_55,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_58,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_62,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X0,X1)
| product(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c_64,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_117,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[c_52,c_59]) ).
cnf(c_125,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_52,c_60]) ).
cnf(c_126,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_133,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_52,c_61]) ).
cnf(c_134,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_141,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[c_53,c_59]) ).
cnf(c_149,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_53,c_60]) ).
cnf(c_150,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_157,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_53,c_61]) ).
cnf(c_158,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_176,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_55,c_60]) ).
cnf(c_177,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_184,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_55,c_61]) ).
cnf(c_216,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,e_2)
| product(X2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_217,plain,
( ~ product(X0,X1,X2)
| ~ product(e_2,X0,X1)
| product(X1,e_2,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_221,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,e_3)
| product(X2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_222,plain,
( ~ product(X0,X1,X2)
| ~ product(e_3,X0,X1)
| product(X1,e_3,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_224,plain,
( ~ product(X0,e_3,X1)
| ~ product(X2,X0,e_3)
| product(e_3,X2,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_225,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_224]) ).
cnf(c_229,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) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_231,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) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_232,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) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_234,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) ),
inference(instantiation,[status(thm)],[c_232]) ).
cnf(c_235,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) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_236,plain,
( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_237,plain,
( ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_238,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) ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_239,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) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_240,plain,
( ~ product(e_2,X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_241,plain,
( ~ product(e_1,X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_242,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) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_243,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_3,X0,X1)
| product(X1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_245,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_2,X0,X1)
| product(X1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_217]) ).
cnf(c_246,plain,
( ~ product(X0,X1,e_2)
| ~ product(X1,e_2,e_2)
| product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_247,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_248,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_245]) ).
cnf(c_250,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_243]) ).
cnf(c_254,plain,
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_256,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_254]) ).
cnf(c_257,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_259,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_257]) ).
cnf(c_287,plain,
( ~ product(e_2,X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_288,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_290,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_291,plain,
( ~ product(X0,e_3,e_1)
| ~ product(e_3,X0,e_3)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_293,plain,
( ~ product(X0,e_3,e_1)
| ~ product(e_2,X0,e_3)
| product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_217]) ).
cnf(c_296,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_298,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_291]) ).
cnf(c_299,plain,
( ~ product(X0,e_3,e_1)
| ~ product(e_3,e_1,X1)
| product(e_1,X0,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_300,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_299]) ).
cnf(c_309,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_241]) ).
cnf(c_310,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) ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_311,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_240]) ).
cnf(c_315,plain,
( ~ product(e_2,e_3,X0)
| ~ product(e_3,X0,e_1)
| product(X0,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_217]) ).
cnf(c_321,plain,
( ~ product(e_3,X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_322,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_321]) ).
cnf(c_331,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_237]) ).
cnf(c_334,plain,
( ~ group_element(e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_345,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_348,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_350,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_407,plain,
( ~ product(X0,X1,X2)
| ~ group_element(X1)
| ~ group_element(X2)
| product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X2,X0,e_3) ),
inference(superposition,[status(thm)],[c_58,c_62]) ).
cnf(c_409,plain,
( ~ product(X0,e_3,e_3)
| ~ group_element(X0)
| ~ group_element(e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2) ),
inference(superposition,[status(thm)],[c_58,c_149]) ).
cnf(c_410,plain,
( ~ product(e_1,X0,e_3)
| ~ group_element(X0)
| ~ group_element(e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) ),
inference(superposition,[status(thm)],[c_58,c_133]) ).
cnf(c_411,plain,
( ~ product(e_1,X0,e_3)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_410,c_50]) ).
cnf(c_416,plain,
( ~ product(X0,e_3,e_3)
| ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_409,c_49]) ).
cnf(c_499,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_3,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_315]) ).
cnf(c_500,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_240]) ).
cnf(c_507,plain,
( ~ product(X0,X1,e_3)
| ~ product(e_3,X0,X1)
| product(X1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_508,plain,
( ~ product(X0,X1,e_3)
| ~ product(X1,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(instantiation,[status(thm)],[c_221]) ).
cnf(c_509,plain,
( ~ product(X0,X1,e_3)
| ~ product(e_2,X0,X1)
| product(X1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_217]) ).
cnf(c_512,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_509]) ).
cnf(c_527,plain,
( ~ product(e_3,X0,e_3)
| ~ group_element(X0)
| ~ group_element(e_1)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2) ),
inference(superposition,[status(thm)],[c_58,c_157]) ).
cnf(c_528,plain,
( ~ product(e_3,X0,e_3)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_527,c_49]) ).
cnf(c_533,plain,
( ~ product(e_3,e_1,e_3)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_528]) ).
cnf(c_548,plain,
( ~ product(X0,e_2,e_2)
| ~ product(e_3,X0,e_2)
| product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_243]) ).
cnf(c_549,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_548]) ).
cnf(c_639,plain,
( ~ product(e_3,X0,e_3)
| ~ group_element(X0)
| ~ group_element(e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) ),
inference(superposition,[status(thm)],[c_58,c_184]) ).
cnf(c_640,plain,
( ~ product(e_3,X0,e_3)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_639,c_50]) ).
cnf(c_645,plain,
( ~ product(e_3,e_1,e_3)
| ~ group_element(e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_672,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_686,plain,
( ~ group_element(X0)
| ~ group_element(e_1)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) ),
inference(superposition,[status(thm)],[c_58,c_411]) ).
cnf(c_687,plain,
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_686,c_49]) ).
cnf(c_693,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_687]) ).
cnf(c_768,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_769,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_770,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_769]) ).
cnf(c_771,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_768]) ).
cnf(c_851,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| ~ group_element(e_3)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(e_3,X0,e_3) ),
inference(superposition,[status(thm)],[c_58,c_407]) ).
cnf(c_852,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(e_3,X0,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_851,c_51]) ).
cnf(c_882,plain,
( ~ product(X0,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_224]) ).
cnf(c_883,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_882]) ).
cnf(c_884,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_236]) ).
cnf(c_886,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_315]) ).
cnf(c_957,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(superposition,[status(thm)],[c_852,c_416]) ).
cnf(c_961,plain,
( ~ product(X0,X1,e_3)
| ~ group_element(X1)
| ~ group_element(X2)
| product(X2,X1,e_1)
| product(X2,X1,e_2)
| product(X1,e_3,e_1)
| product(e_3,X0,e_2)
| product(e_3,X2,e_3) ),
inference(superposition,[status(thm)],[c_852,c_62]) ).
cnf(c_971,plain,
( ~ product(e_3,X0,e_2)
| ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_2,X0,e_1)
| product(e_3,e_2,e_3) ),
inference(superposition,[status(thm)],[c_852,c_184]) ).
cnf(c_973,plain,
( ~ product(e_3,X0,e_2)
| ~ group_element(X0)
| ~ group_element(e_1)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_1,X0,e_1)
| product(e_3,e_1,e_3) ),
inference(superposition,[status(thm)],[c_852,c_157]) ).
cnf(c_980,plain,
( ~ product(e_3,X0,e_2)
| ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_1,X0,e_1)
| product(e_3,e_1,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_973,c_49]) ).
cnf(c_994,plain,
( ~ product(e_3,X0,e_2)
| ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_2,X0,e_1)
| product(e_3,e_2,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_971,c_50]) ).
cnf(c_1078,plain,
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_957,c_51]) ).
cnf(c_1155,plain,
( ~ product(e_3,e_1,e_2)
| ~ group_element(e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_994]) ).
cnf(c_1157,plain,
( ~ product(e_3,e_1,e_2)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_980]) ).
cnf(c_1158,plain,
( ~ group_element(e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1078]) ).
cnf(c_1161,plain,
( ~ product(e_1,e_1,e_3)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_961]) ).
cnf(c_1410,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_507]) ).
cnf(c_1412,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_2,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_508]) ).
cnf(c_1472,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_243]) ).
cnf(c_1478,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_1479,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_257]) ).
cnf(c_1520,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_507]) ).
cnf(c_1522,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_508]) ).
cnf(c_1549,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_254]) ).
cnf(c_1688,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1549,c_1520,c_1522,c_1478,c_1479,c_1472,c_1410,c_1412,c_1161,c_1158,c_1157,c_1155,c_886,c_884,c_883,c_771,c_770,c_693,c_672,c_645,c_549,c_533,c_512,c_500,c_499,c_350,c_345,c_348,c_334,c_331,c_322,c_311,c_310,c_309,c_300,c_298,c_296,c_290,c_259,c_256,c_250,c_248,c_247,c_242,c_238,c_234,c_231,c_225,c_177,c_158,c_150,c_134,c_126,c_64,c_49,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 01:16:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.17 % SZS status Started for theBenchmark.p
% 0.48/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17
% 0.48/1.17 ------ iProver source info
% 0.48/1.17
% 0.48/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17 git: non_committed_changes: false
% 0.48/1.17 git: last_make_outside_of_git: false
% 0.48/1.17
% 0.48/1.17 ------ Parsing...successful
% 0.48/1.17
% 0.48/1.17 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.17 ------ Proving...
% 0.48/1.17 ------ Problem Properties
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 clauses 14
% 0.48/1.17 conjectures 1
% 0.48/1.17 EPR 14
% 0.48/1.17 Horn 13
% 0.48/1.17 unary 3
% 0.48/1.17 binary 9
% 0.48/1.17 lits 29
% 0.48/1.17 lits eq 0
% 0.48/1.17 fd_pure 0
% 0.48/1.17 fd_pseudo 0
% 0.48/1.17 fd_cond 0
% 0.48/1.17 fd_pseudo_cond 0
% 0.48/1.17 AC symbols 0
% 0.48/1.17
% 0.48/1.17 ------ Schedule EPR non Horn non eq is on
% 0.48/1.17
% 0.48/1.17 ------ no equalities: superposition off
% 0.48/1.17
% 0.48/1.17 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------
% 0.48/1.17 Current options:
% 0.48/1.17 ------
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 ------ Proving...
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17
% 0.48/1.17
%------------------------------------------------------------------------------