TSTP Solution File: GRP014-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 00:56:36 EDT 2023
% Result : Unsatisfiable 62.47s 8.70s
% Output : CNFRefutation 62.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 2
% Syntax : Number of clauses : 98 ( 98 unt; 0 nHn; 3 RR)
% Number of literals : 98 ( 97 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 298 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',group_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity) ).
cnf(c_92,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_126,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))) = X2,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_136,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_183,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3)))) = multiply(inverse(X4),multiply(X4,inverse(multiply(multiply(inverse(X2),X5),inverse(multiply(X1,X5)))))),
inference(superposition,[status(thm)],[c_49,c_126]) ).
cnf(c_192,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),inverse(multiply(X0,X2)))) = multiply(X3,inverse(multiply(multiply(inverse(X1),X4),inverse(multiply(inverse(X3),X4))))),
inference(superposition,[status(thm)],[c_126,c_49]) ).
cnf(c_249,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_136,c_136]) ).
cnf(c_302,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_249,c_126]) ).
cnf(c_382,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X3),inverse(multiply(inverse(X0),X3))))) = X2,
inference(superposition,[status(thm)],[c_302,c_49]) ).
cnf(c_399,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(superposition,[status(thm)],[c_302,c_249]) ).
cnf(c_403,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2))) = multiply(inverse(X3),multiply(X3,multiply(X0,X2))),
inference(superposition,[status(thm)],[c_302,c_302]) ).
cnf(c_490,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X1)),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(inverse(X0),X4))))) = multiply(X1,X3),
inference(superposition,[status(thm)],[c_403,c_49]) ).
cnf(c_517,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2))) = multiply(inverse(inverse(X0)),multiply(inverse(X3),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_403,c_403]) ).
cnf(c_598,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),multiply(X0,X3)),inverse(multiply(inverse(X4),multiply(X4,X3)))))) = X2,
inference(superposition,[status(thm)],[c_302,c_382]) ).
cnf(c_1157,plain,
multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2))) = multiply(inverse(X0),multiply(inverse(X3),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_249,c_517]) ).
cnf(c_1312,plain,
multiply(X0,multiply(inverse(X1),multiply(X1,X2))) = multiply(X0,multiply(inverse(X3),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_249,c_1157]) ).
cnf(c_2606,plain,
multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X1),X3))))))) = X2,
inference(superposition,[status(thm)],[c_192,c_126]) ).
cnf(c_3533,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),X3))))))) = X2,
inference(superposition,[status(thm)],[c_2606,c_1312]) ).
cnf(c_3943,plain,
multiply(inverse(X0),multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(X0,X3))))))) = X2,
inference(superposition,[status(thm)],[c_249,c_3533]) ).
cnf(c_4046,plain,
multiply(inverse(X0),multiply(inverse(X1),multiply(X1,inverse(multiply(X2,inverse(multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(X4)),X2))),X5),inverse(multiply(X3,X5))))))))))) = X4,
inference(superposition,[status(thm)],[c_49,c_3943]) ).
cnf(c_4053,plain,
multiply(inverse(X0),multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(multiply(X0,multiply(X4,X3)))))))) = X4,
inference(superposition,[status(thm)],[c_302,c_3943]) ).
cnf(c_4143,plain,
inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1)))) = inverse(multiply(multiply(inverse(X0),X3),inverse(multiply(X2,X3)))),
inference(superposition,[status(thm)],[c_3943,c_249]) ).
cnf(c_5990,plain,
inverse(multiply(multiply(X0,X1),inverse(multiply(X2,X1)))) = inverse(multiply(multiply(X0,X3),inverse(multiply(X2,X3)))),
inference(superposition,[status(thm)],[c_249,c_4143]) ).
cnf(c_6317,plain,
inverse(multiply(multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),X3))),X4),inverse(multiply(X1,X4))))),inverse(X3))) = inverse(multiply(multiply(X0,X5),inverse(multiply(X2,X5)))),
inference(superposition,[status(thm)],[c_49,c_5990]) ).
cnf(c_6469,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(X0),X3))),inverse(multiply(X4,X2))),inverse(multiply(multiply(X1,X5),inverse(multiply(X4,X5))))))) = X3,
inference(superposition,[status(thm)],[c_5990,c_49]) ).
cnf(c_20502,plain,
multiply(inverse(inverse(X0)),multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2)) = X0,
inference(superposition,[status(thm)],[c_598,c_4053]) ).
cnf(c_23190,plain,
multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X2),X3))))) = X1,
inference(superposition,[status(thm)],[c_20502,c_49]) ).
cnf(c_24291,plain,
multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,inverse(X2)))) = X1,
inference(superposition,[status(thm)],[c_6469,c_23190]) ).
cnf(c_24572,plain,
multiply(inverse(inverse(X0)),multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2)) = multiply(inverse(X3),multiply(X3,multiply(X0,inverse(multiply(X4,inverse(X4)))))),
inference(superposition,[status(thm)],[c_24291,c_403]) ).
cnf(c_24624,plain,
multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(light_normalisation,[status(thm)],[c_24572,c_20502]) ).
cnf(c_24835,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3))))) = multiply(X0,multiply(X2,inverse(multiply(X4,inverse(X4))))),
inference(superposition,[status(thm)],[c_24624,c_49]) ).
cnf(c_25017,plain,
inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(inverse(X0),X1)))) = inverse(multiply(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_24624,c_399]) ).
cnf(c_25043,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X0,
inference(superposition,[status(thm)],[c_24624,c_1312]) ).
cnf(c_25703,plain,
multiply(X0,multiply(multiply(inverse(X0),X1),inverse(multiply(X2,inverse(X2))))) = X1,
inference(superposition,[status(thm)],[c_24835,c_6469]) ).
cnf(c_31655,plain,
inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_25017,c_25017]) ).
cnf(c_32266,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X2))),X3))),X4),inverse(multiply(X1,X4))))) = X3,
inference(superposition,[status(thm)],[c_31655,c_49]) ).
cnf(c_34290,plain,
multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(superposition,[status(thm)],[c_32266,c_490]) ).
cnf(c_35859,plain,
multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_34290,c_25703]) ).
cnf(c_37261,plain,
multiply(inverse(inverse(X0)),inverse(inverse(inverse(multiply(X1,inverse(X1)))))) = X0,
inference(superposition,[status(thm)],[c_35859,c_25043]) ).
cnf(c_37262,plain,
multiply(inverse(X0),inverse(inverse(X0))) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_35859,c_24624]) ).
cnf(c_37771,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_37262,c_37262]) ).
cnf(c_38526,plain,
multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_37771,c_35859]) ).
cnf(c_42149,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),inverse(inverse(inverse(X1))))),X2),inverse(multiply(X0,X2)))) = inverse(X1),
inference(superposition,[status(thm)],[c_38526,c_249]) ).
cnf(c_42193,plain,
multiply(inverse(X0),multiply(X0,inverse(X1))) = inverse(inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_38526,c_302]) ).
cnf(c_42642,plain,
multiply(inverse(X0),multiply(X0,X1)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_249,c_42193]) ).
cnf(c_42858,plain,
multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_24291,c_42642]) ).
cnf(c_42867,plain,
multiply(inverse(inverse(X0)),multiply(inverse(inverse(inverse(X1))),X1)) = X0,
inference(demodulation,[status(thm)],[c_20502,c_42642]) ).
cnf(c_42931,plain,
inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X2))),X3),inverse(multiply(X0,X3)))))) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_49,c_42642]) ).
cnf(c_42952,plain,
inverse(inverse(multiply(X0,inverse(X0)))) = multiply(inverse(X1),inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_38526,c_42642]) ).
cnf(c_43015,plain,
multiply(inverse(inverse(X0)),inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_42642,c_42642]) ).
cnf(c_43302,plain,
multiply(inverse(inverse(X0)),inverse(inverse(multiply(X1,inverse(X1))))) = X0,
inference(superposition,[status(thm)],[c_42858,c_42867]) ).
cnf(c_45288,plain,
inverse(inverse(multiply(X0,inverse(X0)))) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_42952,c_37261]) ).
cnf(c_47046,plain,
multiply(X0,inverse(inverse(multiply(X1,inverse(X1))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_45288,c_35859]) ).
cnf(c_47064,plain,
inverse(inverse(inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[c_43302,c_47046]) ).
cnf(c_47318,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),inverse(inverse(inverse(X1))))),X2),inverse(multiply(X0,X2)))) = multiply(X3,inverse(multiply(multiply(X1,X4),inverse(multiply(inverse(X3),X4))))),
inference(superposition,[status(thm)],[c_47064,c_192]) ).
cnf(c_47333,plain,
multiply(inverse(inverse(inverse(X0))),X0) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_47064,c_37771]) ).
cnf(c_47368,plain,
multiply(X0,inverse(multiply(X1,inverse(X1)))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_47064,c_42858]) ).
cnf(c_47389,plain,
multiply(X0,inverse(multiply(multiply(X1,X2),inverse(multiply(inverse(X0),X2))))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_47318,c_42149]) ).
cnf(c_47395,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3))))) = multiply(X0,inverse(inverse(X2))),
inference(demodulation,[status(thm)],[c_24835,c_47368]) ).
cnf(c_47398,plain,
multiply(X0,inverse(inverse(multiply(inverse(X0),X1)))) = X1,
inference(demodulation,[status(thm)],[c_25703,c_47368]) ).
cnf(c_47405,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3)))) = multiply(X1,inverse(inverse(X2))),
inference(demodulation,[status(thm)],[c_92,c_47395]) ).
cnf(c_47411,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),inverse(multiply(X0,X2)))) = inverse(inverse(X1)),
inference(demodulation,[status(thm)],[c_192,c_47389]) ).
cnf(c_48019,plain,
multiply(X0,inverse(inverse(inverse(inverse(inverse(X0)))))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_47368,c_47398]) ).
cnf(c_48059,plain,
inverse(multiply(X0,inverse(X0))) = multiply(X1,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_48019,c_47064]) ).
cnf(c_48152,plain,
multiply(inverse(inverse(inverse(X0))),X0) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_48059,c_47333]) ).
cnf(c_49235,plain,
multiply(inverse(X0),inverse(inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_47064,c_48152]) ).
cnf(c_50082,plain,
inverse(inverse(multiply(X0,inverse(inverse(X1))))) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[status(thm)],[c_47064,c_43015]) ).
cnf(c_52142,plain,
inverse(multiply(multiply(inverse(inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X2))),X3),inverse(multiply(X0,X3))))))),X4),inverse(multiply(X1,X4)))) = inverse(multiply(multiply(X5,inverse(X5)),inverse(X2))),
inference(superposition,[status(thm)],[c_47333,c_6317]) ).
cnf(c_52543,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),inverse(multiply(X0,X2)))) = inverse(multiply(multiply(X3,inverse(X3)),inverse(X1))),
inference(light_normalisation,[status(thm)],[c_52142,c_42931]) ).
cnf(c_52544,plain,
inverse(multiply(multiply(X0,inverse(X0)),inverse(X1))) = inverse(inverse(X1)),
inference(light_normalisation,[status(thm)],[c_52543,c_47411]) ).
cnf(c_53386,plain,
inverse(multiply(multiply(X0,inverse(X0)),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_47064,c_52544]) ).
cnf(c_53517,plain,
inverse(multiply(inverse(multiply(X0,inverse(X0))),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_49235,c_53386]) ).
cnf(c_53582,plain,
multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(inverse(inverse(X1)))),
inference(superposition,[status(thm)],[c_53386,c_47064]) ).
cnf(c_53700,plain,
inverse(multiply(multiply(X0,inverse(X0)),X1)) = inverse(inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_42642,c_53517]) ).
cnf(c_53829,plain,
inverse(inverse(inverse(inverse(inverse(X0))))) = inverse(inverse(inverse(X0))),
inference(light_normalisation,[status(thm)],[c_53700,c_53582]) ).
cnf(c_53830,plain,
inverse(inverse(inverse(X0))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_53829,c_47064]) ).
cnf(c_53840,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_47064,c_53830]) ).
cnf(c_53850,plain,
multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(demodulation,[status(thm)],[c_38526,c_53840]) ).
cnf(c_53851,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_42642,c_53840]) ).
cnf(c_53852,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_47398,c_53840]) ).
cnf(c_53942,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_53840,c_53850]) ).
cnf(c_54345,plain,
multiply(X0,inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_53942,c_53942]) ).
cnf(c_54414,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(X3,X2)))))) = multiply(X3,inverse(inverse(X1))),
inference(light_normalisation,[status(thm)],[c_183,c_47405]) ).
cnf(c_54469,plain,
inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1)))) = multiply(X2,inverse(inverse(X0))),
inference(superposition,[status(thm)],[c_54414,c_53851]) ).
cnf(c_54473,plain,
inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1)))) = multiply(X2,X0),
inference(light_normalisation,[status(thm)],[c_54469,c_53840]) ).
cnf(c_57597,plain,
multiply(inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3)))))),multiply(inverse(X4),multiply(X4,inverse(X2)))) = X1,
inference(superposition,[status(thm)],[c_54345,c_4046]) ).
cnf(c_57751,plain,
multiply(inverse(inverse(multiply(X0,inverse(inverse(X1))))),multiply(inverse(X2),multiply(X2,inverse(X1)))) = X0,
inference(light_normalisation,[status(thm)],[c_57597,c_47405]) ).
cnf(c_57752,plain,
multiply(multiply(X0,X1),multiply(inverse(X2),multiply(X2,inverse(X1)))) = X0,
inference(light_normalisation,[status(thm)],[c_57751,c_50082,c_53840]) ).
cnf(c_70839,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_57752,c_53852]) ).
cnf(c_70978,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_53851,c_70839]) ).
cnf(c_71009,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_53840,c_70839]) ).
cnf(c_72958,plain,
inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_71009,c_70978]) ).
cnf(c_98570,plain,
inverse(multiply(X0,inverse(multiply(X1,multiply(X2,X0))))) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_53851,c_54473]) ).
cnf(c_98928,plain,
multiply(multiply(X0,multiply(X1,X2)),inverse(X2)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_98570,c_72958]) ).
cnf(c_99969,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_98928,c_71009]) ).
cnf(c_100025,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(demodulation,[status(thm)],[c_50,c_99969]) ).
cnf(c_100026,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_100025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 23:05:58 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running UEQ theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 62.47/8.70 % SZS status Started for theBenchmark.p
% 62.47/8.70 % SZS status Unsatisfiable for theBenchmark.p
% 62.47/8.70
% 62.47/8.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 62.47/8.70
% 62.47/8.70 ------ iProver source info
% 62.47/8.70
% 62.47/8.70 git: date: 2023-05-31 18:12:56 +0000
% 62.47/8.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 62.47/8.70 git: non_committed_changes: false
% 62.47/8.70 git: last_make_outside_of_git: false
% 62.47/8.70
% 62.47/8.70 ------ Parsing...successful
% 62.47/8.70
% 62.47/8.70
% 62.47/8.70
% 62.47/8.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 62.47/8.70
% 62.47/8.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 62.47/8.70
% 62.47/8.70 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 62.47/8.70 ------ Proving...
% 62.47/8.70 ------ Problem Properties
% 62.47/8.70
% 62.47/8.70
% 62.47/8.70 clauses 2
% 62.47/8.70 conjectures 1
% 62.47/8.70 EPR 0
% 62.47/8.70 Horn 2
% 62.47/8.70 unary 2
% 62.47/8.70 binary 0
% 62.47/8.70 lits 2
% 62.47/8.70 lits eq 2
% 62.47/8.70 fd_pure 0
% 62.47/8.70 fd_pseudo 0
% 62.47/8.70 fd_cond 0
% 62.47/8.70 fd_pseudo_cond 0
% 62.47/8.70 AC symbols 0
% 62.47/8.70
% 62.47/8.70 ------ Input Options Time Limit: Unbounded
% 62.47/8.70
% 62.47/8.70
% 62.47/8.70 ------
% 62.47/8.70 Current options:
% 62.47/8.70 ------
% 62.47/8.70
% 62.47/8.70
% 62.47/8.70
% 62.47/8.70
% 62.47/8.70 ------ Proving...
% 62.47/8.70
% 62.47/8.70
% 62.47/8.70 % SZS status Unsatisfiable for theBenchmark.p
% 62.47/8.70
% 62.47/8.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.47/8.70
% 62.47/8.70
%------------------------------------------------------------------------------