TSTP Solution File: GRP129-1.003 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:21:22 EDT 2024
% Result : Unsatisfiable 2.87s 1.21s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 127 ( 7 unt; 39 nHn; 127 RR)
% Number of literals : 422 ( 0 equ; 246 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 : 113 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_50,plain,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c_51,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_52,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_53,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_55,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/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,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X0,X1)
| product(X1,X3,X2) ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_217,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,e_2)
| product(X2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_218,plain,
( ~ product(X0,X1,X2)
| ~ product(e_2,X0,X1)
| product(X1,e_2,X2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_222,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,e_3)
| product(X2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_223,plain,
( ~ product(X0,X1,X2)
| ~ product(e_3,X0,X1)
| product(X1,e_3,X2) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_225,plain,
( ~ product(X0,e_3,X1)
| ~ product(X2,X0,e_3)
| product(e_3,X2,X1) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_226,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_225]) ).
cnf(c_230,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_232,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_230]) ).
cnf(c_233,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_235,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_233]) ).
cnf(c_236,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_237,plain,
( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_238,plain,
( ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_239,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_236]) ).
cnf(c_240,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_241,plain,
( ~ product(e_2,X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_242,plain,
( ~ product(e_1,X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_243,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_240]) ).
cnf(c_244,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_3,X0,X1)
| product(X1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_246,plain,
( ~ product(X0,X1,e_2)
| ~ product(e_2,X0,X1)
| product(X1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_247,plain,
( ~ product(X0,X1,e_2)
| ~ product(X1,e_2,e_2)
| product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_217]) ).
cnf(c_248,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_247]) ).
cnf(c_249,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_246]) ).
cnf(c_251,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_244]) ).
cnf(c_255,plain,
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_257,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_255]) ).
cnf(c_258,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_260,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_288,plain,
( ~ product(e_2,X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_289,plain,
( ~ product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_291,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_292,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_223]) ).
cnf(c_294,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_218]) ).
cnf(c_297,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_294]) ).
cnf(c_299,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_292]) ).
cnf(c_300,plain,
( ~ product(X0,e_3,e_1)
| ~ product(e_3,e_1,X1)
| product(e_1,X0,X1) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_301,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_300]) ).
cnf(c_310,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_242]) ).
cnf(c_311,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_236]) ).
cnf(c_312,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_241]) ).
cnf(c_316,plain,
( ~ product(e_2,e_3,X0)
| ~ product(e_3,X0,e_1)
| product(X0,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_322,plain,
( ~ product(e_3,X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_323,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_332,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_238]) ).
cnf(c_335,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_240]) ).
cnf(c_346,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_223]) ).
cnf(c_349,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_217]) ).
cnf(c_351,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_408,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_216]) ).
cnf(c_410,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_411,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_412,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_411,c_50]) ).
cnf(c_417,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_410,c_49]) ).
cnf(c_500,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_316]) ).
cnf(c_501,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_241]) ).
cnf(c_508,plain,
( ~ product(X0,X1,e_3)
| ~ product(e_3,X0,X1)
| product(X1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_509,plain,
( ~ product(X0,X1,e_3)
| ~ product(X1,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_510,plain,
( ~ product(X0,X1,e_3)
| ~ product(e_2,X0,X1)
| product(X1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_513,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_510]) ).
cnf(c_528,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_529,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_528,c_49]) ).
cnf(c_534,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_529]) ).
cnf(c_549,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_244]) ).
cnf(c_550,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_549]) ).
cnf(c_640,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_641,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_640,c_50]) ).
cnf(c_646,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_641]) ).
cnf(c_673,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_687,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_412]) ).
cnf(c_688,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_687,c_49]) ).
cnf(c_694,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_688]) ).
cnf(c_769,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_770,plain,
( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_771,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_770]) ).
cnf(c_772,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_769]) ).
cnf(c_852,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_408]) ).
cnf(c_853,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_852,c_51]) ).
cnf(c_883,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_225]) ).
cnf(c_884,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_883]) ).
cnf(c_885,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_237]) ).
cnf(c_887,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_316]) ).
cnf(c_958,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_853,c_417]) ).
cnf(c_962,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_853,c_216]) ).
cnf(c_972,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_853,c_184]) ).
cnf(c_974,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_853,c_157]) ).
cnf(c_981,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_974,c_49]) ).
cnf(c_995,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_972,c_50]) ).
cnf(c_1079,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_958,c_51]) ).
cnf(c_1156,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_995]) ).
cnf(c_1158,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_981]) ).
cnf(c_1159,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_1079]) ).
cnf(c_1162,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_962]) ).
cnf(c_1411,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_508]) ).
cnf(c_1413,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_509]) ).
cnf(c_1473,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_244]) ).
cnf(c_1479,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_1480,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_1521,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_508]) ).
cnf(c_1523,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_509]) ).
cnf(c_1550,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_255]) ).
cnf(c_1689,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1550,c_1521,c_1523,c_1479,c_1480,c_1473,c_1411,c_1413,c_1162,c_1159,c_1158,c_1156,c_887,c_885,c_884,c_772,c_771,c_694,c_673,c_646,c_550,c_534,c_513,c_501,c_500,c_351,c_346,c_349,c_335,c_332,c_323,c_312,c_311,c_310,c_301,c_299,c_297,c_291,c_260,c_257,c_251,c_249,c_248,c_243,c_239,c_235,c_232,c_226,c_177,c_158,c_150,c_134,c_126,c_64,c_49,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:54:49 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 2.87/1.21 % SZS status Started for theBenchmark.p
% 2.87/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.87/1.21
% 2.87/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.87/1.21
% 2.87/1.21 ------ iProver source info
% 2.87/1.21
% 2.87/1.21 git: date: 2024-05-02 19:28:25 +0000
% 2.87/1.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.87/1.21 git: non_committed_changes: false
% 2.87/1.21
% 2.87/1.21 ------ Parsing...successful
% 2.87/1.21
% 2.87/1.21 ------ preprocesses with Option_epr_non_horn_non_eq
% 2.87/1.21
% 2.87/1.21
% 2.87/1.21 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e
% 2.87/1.21
% 2.87/1.21 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 2.87/1.21 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.87/1.21 ------ Proving...
% 2.87/1.21 ------ Problem Properties
% 2.87/1.21
% 2.87/1.21
% 2.87/1.21 clauses 14
% 2.87/1.21 conjectures 1
% 2.87/1.21 EPR 14
% 2.87/1.21 Horn 13
% 2.87/1.21 unary 3
% 2.87/1.21 binary 9
% 2.87/1.21 lits 29
% 2.87/1.21 lits eq 0
% 2.87/1.21 fd_pure 0
% 2.87/1.21 fd_pseudo 0
% 2.87/1.21 fd_cond 0
% 2.87/1.21 fd_pseudo_cond 0
% 2.87/1.21 AC symbols 0
% 2.87/1.21
% 2.87/1.21 ------ Schedule EPR non Horn non eq is on
% 2.87/1.21
% 2.87/1.21 ------ no equalities: superposition off
% 2.87/1.21
% 2.87/1.21 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.87/1.21
% 2.87/1.21
% 2.87/1.21 ------
% 2.87/1.21 Current options:
% 2.87/1.21 ------
% 2.87/1.21
% 2.87/1.21
% 2.87/1.21
% 2.87/1.21
% 2.87/1.21 ------ Proving...
% 2.87/1.21
% 2.87/1.21
% 2.87/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.87/1.21
% 2.87/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.87/1.21
% 2.87/1.21
%------------------------------------------------------------------------------