TSTP Solution File: GRP428-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP428-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 00:20:14 EDT 2023
% Result : Unsatisfiable 1.05s 1.12s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 6
% Syntax : Number of formulae : 90 ( 86 unt; 4 typ; 0 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 181 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
inverse: $i > $i ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
b2: $i ).
tff(decl_25,type,
a2: $i ).
cnf(single_axiom,axiom,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_0_2,axiom,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
single_axiom ).
cnf(c_0_3,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(inverse(X1)),X3))),X6),inverse(multiply(X5,X6)))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),X5),inverse(multiply(X3,X5))))))) = multiply(inverse(inverse(X2)),X4),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(inverse(X3)),multiply(inverse(X3),X2)),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(inverse(X1),X4))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),multiply(X1,X4)),inverse(multiply(inverse(X5),multiply(X5,X4)))))) = X3,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(X1),X5)))),X2))),X6),inverse(multiply(X4,X6))))))))) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_11,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(X5,X4)))))) = multiply(X5,X3),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_12,plain,
multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_4]) ).
cnf(c_0_13,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4))))) = inverse(multiply(X5,inverse(multiply(X6,multiply(multiply(inverse(X6),multiply(inverse(inverse(X1)),X3)),inverse(multiply(multiply(inverse(multiply(inverse(b2),X5)),b2),inverse(multiply(b2,b2))))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_10]),c_0_3]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X3),multiply(X3,X4))),inverse(multiply(multiply(inverse(multiply(inverse(b2),X1)),b2),inverse(multiply(b2,b2))))))))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_7]),c_0_2]) ).
cnf(c_0_16,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),multiply(X2,X3))) = multiply(inverse(X4),multiply(X4,multiply(X1,X3))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_17,plain,
multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_14]),c_0_4]) ).
cnf(c_0_18,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),X5),inverse(multiply(X3,X5))))),X6)),X7),inverse(multiply(multiply(multiply(inverse(multiply(inverse(X8),multiply(inverse(inverse(X2)),X4))),X9),inverse(multiply(X8,X9))),X7))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(b2),X6)),b2),inverse(multiply(b2,b2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]) ).
cnf(c_0_19,plain,
multiply(X1,inverse(multiply(X2,inverse(multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(multiply(inverse(multiply(inverse(b2),X2)),b2),inverse(multiply(b2,b2)))))))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(b2),X4)),b2),inverse(multiply(b2,b2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_10]),c_0_3]),c_0_3]),c_0_13]) ).
cnf(c_0_20,plain,
inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(inverse(b2),multiply(b2,multiply(X2,X3))),inverse(multiply(multiply(inverse(multiply(inverse(b2),X1)),b2),inverse(multiply(b2,b2))))))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).
cnf(c_0_21,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_2]) ).
cnf(c_0_22,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(inverse(b2),X2)),b2),inverse(multiply(b2,b2)))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_18]),c_0_4]) ).
cnf(c_0_23,plain,
inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(multiply(inverse(multiply(inverse(b2),X1)),b2),inverse(multiply(b2,b2))))))))) = inverse(multiply(multiply(inverse(multiply(inverse(b2),X3)),b2),inverse(multiply(b2,b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_19]),c_0_2]) ).
cnf(c_0_24,plain,
inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(X3),multiply(multiply(inverse(b2),multiply(b2,multiply(X3,X4))),X2))))) = X4,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = inverse(multiply(multiply(inverse(multiply(inverse(b2),X1)),b2),inverse(multiply(b2,b2)))),
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_26,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))) = inverse(multiply(multiply(inverse(multiply(inverse(b2),X2)),b2),inverse(multiply(b2,b2)))),
inference(spm,[status(thm)],[c_0_23,c_0_2]) ).
cnf(c_0_27,plain,
inverse(multiply(b2,inverse(b2))) = inverse(multiply(X1,inverse(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_24]) ).
cnf(c_0_28,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))) = multiply(X2,inverse(multiply(b2,inverse(b2)))),
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_29,plain,
multiply(b2,inverse(b2)) = multiply(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_17]) ).
cnf(c_0_30,plain,
multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(b2,inverse(b2))))) = X2,
inference(rw,[status(thm)],[c_0_2,c_0_28]) ).
cnf(c_0_31,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(spm,[status(thm)],[c_0_29,c_0_29]) ).
cnf(c_0_32,plain,
multiply(inverse(inverse(inverse(X1))),X1) = multiply(inverse(inverse(inverse(X2))),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_17]),c_0_4]) ).
cnf(c_0_33,plain,
multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,inverse(X3))))) = X2,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
multiply(inverse(inverse(inverse(X1))),X1) = inverse(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)),
inference(spm,[status(thm)],[c_0_17,c_0_32]) ).
cnf(c_0_35,plain,
multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_36,plain,
inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(inverse(b2),X1)),b2),inverse(multiply(b2,b2)))))) = multiply(inverse(inverse(inverse(b2))),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_22]),c_0_34]) ).
cnf(c_0_37,plain,
inverse(inverse(multiply(X1,inverse(multiply(b2,inverse(b2)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_35]),c_0_28]) ).
cnf(c_0_38,plain,
inverse(multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(b2),b2)),b2),inverse(multiply(b2,b2))))),inverse(multiply(multiply(multiply(inverse(inverse(inverse(b2))),b2),b2),inverse(multiply(b2,b2)))))) = multiply(inverse(inverse(inverse(b2))),b2),
inference(spm,[status(thm)],[c_0_36,c_0_36]) ).
cnf(c_0_39,plain,
inverse(multiply(inverse(inverse(inverse(b2))),inverse(multiply(multiply(inverse(multiply(b2,inverse(b2))),b2),inverse(multiply(b2,b2)))))) = multiply(inverse(inverse(inverse(b2))),b2),
inference(spm,[status(thm)],[c_0_36,c_0_27]) ).
cnf(c_0_40,plain,
inverse(inverse(multiply(X1,inverse(X1)))) = multiply(b2,inverse(b2)),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_41,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(X2),X5))),X6),inverse(multiply(X4,X6))))),inverse(X5)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_42,plain,
multiply(inverse(inverse(multiply(inverse(inverse(inverse(b2))),b2))),multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(b2),b2)),b2),inverse(multiply(b2,b2))))),inverse(multiply(multiply(multiply(inverse(inverse(inverse(b2))),b2),b2),inverse(multiply(b2,b2)))))) = multiply(inverse(inverse(inverse(b2))),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_34]) ).
cnf(c_0_43,plain,
multiply(inverse(inverse(multiply(inverse(inverse(inverse(b2))),b2))),multiply(inverse(inverse(inverse(b2))),inverse(multiply(multiply(inverse(multiply(b2,inverse(b2))),b2),inverse(multiply(b2,b2)))))) = multiply(inverse(inverse(inverse(b2))),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_34]) ).
cnf(c_0_44,plain,
inverse(multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_40]),c_0_35]),c_0_40]),c_0_40]) ).
cnf(c_0_45,plain,
multiply(inverse(multiply(multiply(inverse(multiply(inverse(b2),b2)),b2),inverse(multiply(b2,b2)))),inverse(multiply(X1,inverse(X1)))) = inverse(multiply(multiply(multiply(inverse(inverse(inverse(b2))),b2),b2),inverse(multiply(b2,b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_2]) ).
cnf(c_0_46,plain,
multiply(inverse(inverse(b2)),inverse(multiply(X1,inverse(X1)))) = inverse(multiply(multiply(inverse(multiply(b2,inverse(b2))),b2),inverse(multiply(b2,b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_43]),c_0_2]) ).
cnf(c_0_47,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_35]) ).
cnf(c_0_48,plain,
multiply(inverse(inverse(X1)),multiply(multiply(inverse(inverse(inverse(b2))),b2),inverse(multiply(X2,inverse(X2))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_45]),c_0_38]) ).
cnf(c_0_49,plain,
inverse(multiply(multiply(multiply(b2,inverse(b2)),b2),inverse(multiply(b2,b2)))) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_35]),c_0_40]),c_0_44]),c_0_35]),c_0_44]),c_0_47]) ).
cnf(c_0_50,plain,
multiply(inverse(inverse(X1)),multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(multiply(X3,inverse(X3))))) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
cnf(c_0_51,plain,
multiply(inverse(X1),multiply(X1,X2)) = inverse(inverse(X2)),
inference(spm,[status(thm)],[c_0_37,c_0_12]) ).
cnf(c_0_52,plain,
multiply(multiply(multiply(b2,inverse(b2)),b2),inverse(multiply(b2,b2))) = inverse(inverse(inverse(b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_49]),c_0_28]),c_0_44]),c_0_35]),c_0_31]),c_0_35]) ).
cnf(c_0_53,plain,
inverse(multiply(multiply(inverse(inverse(inverse(X1))),X1),inverse(multiply(X2,inverse(X2))))) = multiply(inverse(inverse(inverse(b2))),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_50]),c_0_34]) ).
cnf(c_0_54,plain,
multiply(inverse(multiply(multiply(b2,inverse(b2)),b2)),inverse(inverse(inverse(b2)))) = inverse(inverse(inverse(multiply(b2,b2)))),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
inverse(inverse(multiply(b2,inverse(b2)))) = multiply(inverse(inverse(inverse(b2))),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_37]),c_0_12]) ).
cnf(c_0_56,plain,
multiply(inverse(inverse(multiply(multiply(b2,inverse(b2)),b2))),inverse(inverse(inverse(multiply(b2,b2))))) = inverse(b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_54]),c_0_47]) ).
cnf(c_0_57,plain,
multiply(inverse(inverse(inverse(b2))),b2) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_58,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_12]) ).
cnf(c_0_59,plain,
multiply(inverse(inverse(inverse(multiply(multiply(b2,inverse(b2)),b2)))),inverse(b2)) = inverse(multiply(b2,b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_56]),c_0_47]) ).
cnf(c_0_60,plain,
multiply(inverse(inverse(inverse(X1))),X1) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_57]),c_0_47]),c_0_35]),c_0_57]),c_0_51]) ).
cnf(c_0_61,plain,
inverse(multiply(multiply(b2,inverse(b2)),b2)) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_51]),c_0_60]),c_0_47]),c_0_52]),c_0_47]) ).
cnf(c_0_62,plain,
multiply(multiply(b2,inverse(b2)),b2) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_61]),c_0_51]),c_0_60]),c_0_35]),c_0_47]) ).
cnf(c_0_63,plain,
inverse(multiply(X1,inverse(X1))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_40]),c_0_44]) ).
cnf(c_0_64,plain,
inverse(inverse(b2)) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_62]),c_0_63]),c_0_62]) ).
cnf(c_0_65,plain,
inverse(inverse(multiply(X1,inverse(inverse(X2))))) = multiply(inverse(inverse(X1)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_51]),c_0_28]),c_0_63]),c_0_35]) ).
cnf(c_0_66,plain,
inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X2),X3),multiply(X1,inverse(multiply(b2,inverse(b2))))))))) = multiply(X3,inverse(multiply(b2,inverse(b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_25]),c_0_25]) ).
cnf(c_0_67,plain,
inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(X1))),X2),inverse(multiply(X3,X2)))))) = multiply(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_51]),c_0_51]) ).
cnf(c_0_68,plain,
multiply(inverse(b2),b2) = multiply(b2,inverse(b2)),
inference(spm,[status(thm)],[c_0_60,c_0_64]) ).
cnf(c_0_69,plain,
inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_28]),c_0_28]),c_0_63]),c_0_35]),c_0_63]),c_0_35]) ).
cnf(c_0_70,plain,
inverse(inverse(multiply(X1,b2))) = multiply(inverse(inverse(X1)),b2),
inference(spm,[status(thm)],[c_0_65,c_0_64]) ).
cnf(c_0_71,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))) = inverse(inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_44]),c_0_35]) ).
cnf(c_0_72,plain,
inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X2),X3),inverse(inverse(X1))))))) = inverse(inverse(X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_44]),c_0_35]),c_0_44]),c_0_35]) ).
cnf(c_0_73,plain,
inverse(multiply(inverse(inverse(inverse(X1))),b2)) = multiply(inverse(b2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_63]),c_0_35]),c_0_69]),c_0_64]),c_0_70]) ).
cnf(c_0_74,plain,
multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_10]),c_0_71]),c_0_71]),c_0_69]),c_0_72]),c_0_69]),c_0_71]) ).
cnf(c_0_75,plain,
multiply(inverse(b2),inverse(X1)) = inverse(multiply(X1,b2)),
inference(spm,[status(thm)],[c_0_73,c_0_47]) ).
cnf(c_0_76,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
prove_these_axioms_2 ).
cnf(c_0_77,plain,
inverse(multiply(inverse(multiply(b2,X1)),b2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_64]) ).
cnf(c_0_78,negated_conjecture,
multiply(multiply(b2,inverse(b2)),a2) != a2,
inference(rw,[status(thm)],[c_0_76,c_0_68]) ).
cnf(c_0_79,plain,
multiply(multiply(b2,X1),inverse(X1)) = b2,
inference(spm,[status(thm)],[c_0_74,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
multiply(multiply(X1,inverse(X1)),a2) != a2,
inference(spm,[status(thm)],[c_0_78,c_0_31]) ).
cnf(c_0_81,plain,
inverse(multiply(multiply(b2,inverse(b2)),X1)) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_79]),c_0_51]),c_0_60]),c_0_77]) ).
cnf(c_0_82,negated_conjecture,
multiply(multiply(inverse(multiply(X1,b2)),multiply(inverse(inverse(X1)),b2)),a2) != a2,
inference(spm,[status(thm)],[c_0_80,c_0_70]) ).
cnf(c_0_83,plain,
multiply(multiply(b2,inverse(b2)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_81]),c_0_17]) ).
cnf(c_0_84,plain,
multiply(multiply(X1,inverse(X1)),b2) = b2,
inference(spm,[status(thm)],[c_0_62,c_0_31]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_40]),c_0_84]),c_0_68]),c_0_83])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP428-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n022.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 : Tue Aug 29 02:10:09 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 1.05/1.12 % Version : CSE_E---1.5
% 1.05/1.12 % Problem : theBenchmark.p
% 1.05/1.12 % Proof found
% 1.05/1.12 % SZS status Theorem for theBenchmark.p
% 1.05/1.12 % SZS output start Proof
% See solution above
% 1.05/1.13 % Total time : 0.564000 s
% 1.05/1.13 % SZS output end Proof
% 1.05/1.13 % Total time : 0.566000 s
%------------------------------------------------------------------------------