TSTP Solution File: GRP107-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP107-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:20:59 EDT 2024
% Result : Unsatisfiable 38.81s 6.21s
% Output : CNFRefutation 38.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 3
% Syntax : Number of clauses : 134 ( 130 unt; 0 nHn; 8 RR)
% Number of literals : 141 ( 140 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 310 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_66,plain,
double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = X2,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_124,plain,
double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1))) = X3,
inference(superposition,[status(thm)],[c_66,c_66]) ).
cnf(c_125,plain,
multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_66,c_50]) ).
cnf(c_134,plain,
multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),X1) = inverse(X3),
inference(superposition,[status(thm)],[c_66,c_125]) ).
cnf(c_448,plain,
double_divide(X0,multiply(multiply(multiply(multiply(multiply(multiply(X1,inverse(X2)),X3),inverse(X0)),double_divide(X3,X1)),inverse(X4)),X2)) = X4,
inference(superposition,[status(thm)],[c_124,c_66]) ).
cnf(c_2521,plain,
double_divide(X0,multiply(inverse(X0),inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_134,c_448]) ).
cnf(c_2562,plain,
multiply(multiply(inverse(X0),inverse(X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_2521,c_50]) ).
cnf(c_2593,plain,
double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_2562,c_66]) ).
cnf(c_2779,plain,
double_divide(double_divide(X0,inverse(X0)),multiply(X1,X2)) = double_divide(X2,X1),
inference(superposition,[status(thm)],[c_50,c_2593]) ).
cnf(c_4171,plain,
multiply(multiply(X0,X1),double_divide(X2,inverse(X2))) = inverse(double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_2779,c_50]) ).
cnf(c_4842,plain,
multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_66,c_50]) ).
cnf(c_4843,plain,
multiply(multiply(X0,X1),double_divide(X2,inverse(X2))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_4171,c_50]) ).
cnf(c_4855,plain,
multiply(inverse(X0),double_divide(X1,inverse(X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_4842,c_4843]) ).
cnf(c_4858,plain,
multiply(multiply(inverse(X0),inverse(X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_4842,c_4843]) ).
cnf(c_4868,plain,
double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_4858,c_66]) ).
cnf(c_4875,plain,
double_divide(double_divide(X0,inverse(X0)),multiply(X1,X2)) = double_divide(X2,X1),
inference(superposition,[status(thm)],[c_50,c_4868]) ).
cnf(c_4924,plain,
double_divide(X0,multiply(inverse(X0),inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_4875,c_66]) ).
cnf(c_4934,plain,
double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2))) = X2,
inference(superposition,[status(thm)],[c_50,c_4924]) ).
cnf(c_4940,plain,
double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_4924,c_4875]) ).
cnf(c_4941,plain,
double_divide(inverse(X0),multiply(inverse(X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_4940,c_50]) ).
cnf(c_4946,plain,
double_divide(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),inverse(X0))) = X2,
inference(superposition,[status(thm)],[c_4941,c_66]) ).
cnf(c_4947,plain,
multiply(multiply(inverse(X0),X0),inverse(X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_4941,c_50]) ).
cnf(c_4949,plain,
double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(demodulation,[status(thm)],[c_4946,c_4947]) ).
cnf(c_4994,plain,
double_divide(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,X0))) = X2,
inference(superposition,[status(thm)],[c_50,c_4949]) ).
cnf(c_5001,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_4949,c_4941]) ).
cnf(c_5006,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_5001]) ).
cnf(c_5018,plain,
multiply(X0,double_divide(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_5001,c_4855]) ).
cnf(c_5022,plain,
double_divide(double_divide(X0,inverse(X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_5001,c_4868]) ).
cnf(c_5023,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[c_5001,c_4858]) ).
cnf(c_5069,plain,
multiply(X0,double_divide(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_5001,c_5018]) ).
cnf(c_5082,plain,
multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0)) = X2,
inference(superposition,[status(thm)],[c_50,c_5023]) ).
cnf(c_5083,plain,
multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_5001,c_5023]) ).
cnf(c_5099,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_4941,c_5069]) ).
cnf(c_5129,plain,
double_divide(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = X1,
inference(superposition,[status(thm)],[c_5083,c_66]) ).
cnf(c_5144,plain,
multiply(X0,multiply(multiply(X1,X2),double_divide(X2,X1))) = X0,
inference(superposition,[status(thm)],[c_50,c_5099]) ).
cnf(c_5152,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_5099,c_5023]) ).
cnf(c_5159,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_5152]) ).
cnf(c_5179,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_5001,c_4947]) ).
cnf(c_5188,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5159,c_5179]) ).
cnf(c_5195,plain,
multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_5083,c_5082]) ).
cnf(c_5218,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_5082,c_5069]) ).
cnf(c_5305,plain,
double_divide(multiply(multiply(X0,X1),double_divide(X1,X0)),X2) = inverse(X2),
inference(superposition,[status(thm)],[c_5144,c_5006]) ).
cnf(c_5312,plain,
double_divide(double_divide(multiply(multiply(X0,X1),double_divide(X1,X0)),multiply(X2,X3)),X3) = X2,
inference(superposition,[status(thm)],[c_5144,c_5129]) ).
cnf(c_5317,plain,
double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_5312,c_5305]) ).
cnf(c_5465,plain,
inverse(multiply(inverse(X0),inverse(X1))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4924,c_5195]) ).
cnf(c_5471,plain,
inverse(multiply(inverse(X0),inverse(X1))) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_4949,c_5195]) ).
cnf(c_5474,plain,
multiply(inverse(X0),inverse(X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_5195,c_5083]) ).
cnf(c_5486,plain,
inverse(double_divide(X0,X1)) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_5471,c_5474]) ).
cnf(c_5487,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_5465,c_5474]) ).
cnf(c_5488,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_5487,c_5486]) ).
cnf(c_5545,plain,
inverse(multiply(X0,X1)) = double_divide(X0,X1),
inference(superposition,[status(thm)],[c_5488,c_5006]) ).
cnf(c_5578,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_5218,c_66]) ).
cnf(c_5721,plain,
multiply(multiply(X0,X1),inverse(X2)) = double_divide(X2,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_4934,c_5578]) ).
cnf(c_5898,plain,
double_divide(double_divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_5317,c_5545]) ).
cnf(c_5912,plain,
double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_5898,c_5578]) ).
cnf(c_8999,plain,
multiply(inverse(X0),multiply(X1,X2)) = double_divide(double_divide(X2,X1),X0),
inference(superposition,[status(thm)],[c_4994,c_5912]) ).
cnf(c_9739,plain,
multiply(X0,double_divide(X1,inverse(X1))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_5022,c_50]) ).
cnf(c_9777,plain,
inverse(multiply(multiply(inverse(X0),inverse(X1)),X0)) = X1,
inference(superposition,[status(thm)],[c_66,c_5022]) ).
cnf(c_9835,plain,
inverse(inverse(multiply(X0,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_4171,c_50,c_9739]) ).
cnf(c_9836,plain,
multiply(multiply(inverse(X0),inverse(X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_9777,c_9835]) ).
cnf(c_9912,plain,
double_divide(double_divide(X0,X1),double_divide(X2,X3)) = multiply(multiply(X3,X2),multiply(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_8999]) ).
cnf(c_9977,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_9777,c_9836]) ).
cnf(c_9983,plain,
multiply(multiply(multiply(X0,X1),inverse(X2)),double_divide(X1,X0)) = inverse(X2),
inference(superposition,[status(thm)],[c_50,c_9836]) ).
cnf(c_10008,plain,
multiply(double_divide(X0,double_divide(X1,X2)),double_divide(X1,X2)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_9983,c_5721]) ).
cnf(c_10020,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_66,c_10008]) ).
cnf(c_10034,plain,
multiply(X0,double_divide(X1,inverse(X1))) = X0,
inference(demodulation,[status(thm)],[c_9739,c_9977]) ).
cnf(c_10035,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_9977]) ).
cnf(c_10037,plain,
double_divide(double_divide(X0,X1),multiply(multiply(X1,X2),X0)) = inverse(X2),
inference(superposition,[status(thm)],[c_9977,c_66]) ).
cnf(c_10042,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[c_9977,c_9836]) ).
cnf(c_10110,plain,
multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0)) = X2,
inference(superposition,[status(thm)],[c_50,c_10042]) ).
cnf(c_10113,plain,
double_divide(X0,multiply(inverse(X0),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_10042,c_10035]) ).
cnf(c_10114,plain,
double_divide(X0,double_divide(X1,multiply(inverse(X1),X2))) = multiply(X2,inverse(X0)),
inference(superposition,[status(thm)],[c_10042,c_5721]) ).
cnf(c_10124,plain,
double_divide(X0,inverse(X1)) = multiply(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c_10114,c_10113]) ).
cnf(c_10171,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_10110,c_10034]) ).
cnf(c_10206,plain,
multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_10037,c_50]) ).
cnf(c_10267,plain,
multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
inference(demodulation,[status(thm)],[c_10206,c_9977]) ).
cnf(c_10292,plain,
multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(superposition,[status(thm)],[c_10267,c_10267]) ).
cnf(c_10293,plain,
multiply(X0,double_divide(X1,multiply(X2,X0))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_10267,c_10110]) ).
cnf(c_10296,plain,
double_divide(double_divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_10292,c_10293]) ).
cnf(c_10316,plain,
inverse(double_divide(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_10296,c_10020]) ).
cnf(c_10336,plain,
multiply(multiply(X0,X1),double_divide(X1,multiply(inverse(X2),X2))) = X0,
inference(superposition,[status(thm)],[c_10171,c_10267]) ).
cnf(c_10338,plain,
double_divide(X0,multiply(inverse(X1),X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_10171,c_10035]) ).
cnf(c_10349,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_10336,c_10338]) ).
cnf(c_10427,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_10316,c_50]) ).
cnf(c_10432,plain,
inverse(multiply(X0,X1)) = double_divide(X0,X1),
inference(superposition,[status(thm)],[c_10316,c_9977]) ).
cnf(c_10751,plain,
double_divide(X0,double_divide(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_10349,c_5721]) ).
cnf(c_10754,plain,
double_divide(double_divide(X0,X1),inverse(X2)) = multiply(multiply(X1,X2),X0),
inference(superposition,[status(thm)],[c_10037,c_10751]) ).
cnf(c_10978,plain,
multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X2,X0)),
inference(demodulation,[status(thm)],[c_10754,c_10316,c_10124]) ).
cnf(c_13021,plain,
double_divide(double_divide(X0,X1),double_divide(X2,X3)) = multiply(X2,multiply(X0,multiply(X3,X1))),
inference(demodulation,[status(thm)],[c_9912,c_10978]) ).
cnf(c_13070,plain,
inverse(multiply(X0,multiply(X1,multiply(X2,X3)))) = multiply(double_divide(X0,X2),double_divide(X1,X3)),
inference(superposition,[status(thm)],[c_13021,c_50]) ).
cnf(c_19214,plain,
double_divide(X0,multiply(X1,multiply(X2,X3))) = multiply(double_divide(X0,X2),double_divide(X1,X3)),
inference(demodulation,[status(thm)],[c_13070,c_10432]) ).
cnf(c_19282,plain,
inverse(multiply(double_divide(X0,X1),double_divide(X2,X3))) = multiply(multiply(X2,multiply(X1,X3)),X0),
inference(superposition,[status(thm)],[c_19214,c_50]) ).
cnf(c_19662,plain,
multiply(X0,multiply(X1,multiply(X2,X3))) = multiply(X1,multiply(X3,multiply(X0,X2))),
inference(demodulation,[status(thm)],[c_19282,c_10432,c_10978,c_13021]) ).
cnf(c_19777,plain,
multiply(multiply(X0,multiply(X1,X2)),X3) = multiply(X0,multiply(X2,multiply(X3,X1))),
inference(superposition,[status(thm)],[c_19662,c_10427]) ).
cnf(c_20995,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_5188]) ).
cnf(c_20999,plain,
multiply(X0,double_divide(X1,inverse(X1))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_5022,c_50]) ).
cnf(c_21024,plain,
inverse(multiply(multiply(inverse(X0),inverse(X1)),X0)) = X1,
inference(superposition,[status(thm)],[c_66,c_5022]) ).
cnf(c_21055,plain,
inverse(inverse(multiply(X0,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_4171,c_50,c_20999]) ).
cnf(c_21057,plain,
inverse(inverse(inverse(inverse(X0)))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_20999,c_21055]) ).
cnf(c_21188,plain,
inverse(inverse(inverse(X0))) = inverse(X0),
inference(superposition,[status(thm)],[c_21024,c_21057]) ).
cnf(c_21198,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_21024,c_21188]) ).
cnf(c_21208,plain,
multiply(X0,double_divide(X1,inverse(X1))) = X0,
inference(demodulation,[status(thm)],[c_20999,c_21198]) ).
cnf(c_21209,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_21198]) ).
cnf(c_21215,plain,
inverse(multiply(multiply(inverse(X0),X1),X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_21198,c_21024]) ).
cnf(c_21216,plain,
double_divide(X0,multiply(inverse(X0),X1)) = inverse(X1),
inference(demodulation,[status(thm)],[c_21215,c_21209]) ).
cnf(c_21303,plain,
multiply(multiply(inverse(X0),X1),X0) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_21216,c_50]) ).
cnf(c_21316,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(demodulation,[status(thm)],[c_21303,c_21198]) ).
cnf(c_21320,plain,
double_divide(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_21208,c_21316]) ).
cnf(c_21323,plain,
multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_21198,c_21316]) ).
cnf(c_21373,plain,
multiply(X0,multiply(X1,multiply(inverse(X0),X2))) = multiply(X2,X1),
inference(superposition,[status(thm)],[c_21323,c_19777]) ).
cnf(c_21514,plain,
multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_21320,c_21316]) ).
cnf(c_21582,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_21320,c_21514]) ).
cnf(c_21670,plain,
double_divide(X0,multiply(inverse(X1),X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_21582,c_21209]) ).
cnf(c_21672,plain,
double_divide(double_divide(X0,multiply(inverse(X1),X1)),multiply(inverse(X2),X0)) = X2,
inference(superposition,[status(thm)],[c_21582,c_66]) ).
cnf(c_21686,plain,
double_divide(inverse(X0),multiply(inverse(X1),X0)) = X1,
inference(light_normalisation,[status(thm)],[c_21672,c_21670]) ).
cnf(c_21941,plain,
multiply(multiply(inverse(X0),X1),inverse(X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_21686,c_50]) ).
cnf(c_22279,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_21198,c_21941]) ).
cnf(c_22319,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_21198,c_22279]) ).
cnf(c_22406,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_21323,c_22319]) ).
cnf(c_22436,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_20995,c_22406]) ).
cnf(c_22437,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(demodulation,[status(thm)],[c_22436,c_22406]) ).
cnf(c_22444,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_21323,c_22406]) ).
cnf(c_22453,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_21316,c_22406]) ).
cnf(c_22676,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_22444,c_21373]) ).
cnf(c_22714,plain,
multiply(multiply(X0,multiply(X1,X2)),X3) = multiply(multiply(X0,X2),multiply(X3,X1)),
inference(superposition,[status(thm)],[c_22676,c_22676]) ).
cnf(c_22720,plain,
multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_22676,c_22406]) ).
cnf(c_22734,plain,
multiply(X0,multiply(X1,multiply(X2,X3))) = multiply(X0,multiply(X1,multiply(X3,X2))),
inference(demodulation,[status(thm)],[c_22714,c_22676]) ).
cnf(c_22993,plain,
multiply(X0,multiply(inverse(X0),multiply(X1,multiply(X2,X3)))) = multiply(X1,multiply(X3,X2)),
inference(superposition,[status(thm)],[c_22734,c_22453]) ).
cnf(c_23024,plain,
multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(demodulation,[status(thm)],[c_22993,c_22453]) ).
cnf(c_24012,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(demodulation,[status(thm)],[c_22437,c_22720]) ).
cnf(c_24014,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_24012,c_23024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP107-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 23:54:26 EDT 2024
% 0.14/0.34 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 38.81/6.21 % SZS status Started for theBenchmark.p
% 38.81/6.21 % SZS status Unsatisfiable for theBenchmark.p
% 38.81/6.21
% 38.81/6.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 38.81/6.21
% 38.81/6.21 ------ iProver source info
% 38.81/6.21
% 38.81/6.21 git: date: 2024-05-02 19:28:25 +0000
% 38.81/6.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 38.81/6.21 git: non_committed_changes: false
% 38.81/6.21
% 38.81/6.21 ------ Parsing...successful
% 38.81/6.21
% 38.81/6.21
% 38.81/6.21
% 38.81/6.21 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 38.81/6.21
% 38.81/6.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.81/6.21
% 38.81/6.21 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 38.81/6.21 ------ Proving...
% 38.81/6.21 ------ Problem Properties
% 38.81/6.21
% 38.81/6.21
% 38.81/6.21 clauses 3
% 38.81/6.21 conjectures 1
% 38.81/6.21 EPR 0
% 38.81/6.21 Horn 3
% 38.81/6.21 unary 2
% 38.81/6.21 binary 0
% 38.81/6.21 lits 6
% 38.81/6.21 lits eq 6
% 38.81/6.21 fd_pure 0
% 38.81/6.21 fd_pseudo 0
% 38.81/6.21 fd_cond 0
% 38.81/6.21 fd_pseudo_cond 0
% 38.81/6.21 AC symbols 0
% 38.81/6.21
% 38.81/6.21 ------ Input Options Time Limit: Unbounded
% 38.81/6.21
% 38.81/6.21
% 38.81/6.21 ------
% 38.81/6.21 Current options:
% 38.81/6.21 ------
% 38.81/6.21
% 38.81/6.21
% 38.81/6.21
% 38.81/6.21
% 38.81/6.21 ------ Proving...
% 38.81/6.21
% 38.81/6.21
% 38.81/6.21 % SZS status Unsatisfiable for theBenchmark.p
% 38.81/6.21
% 38.81/6.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.81/6.22
% 38.81/6.22
%------------------------------------------------------------------------------