TSTP Solution File: GRP410-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 00:19:12 EDT 2023
% Result : Unsatisfiable 0.85s 0.93s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 87 ( 83 unt; 4 typ; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 11 ( 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 : 234 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
multiply: ( $i * $i ) > $i ).
tff(decl_23,type,
inverse: $i > $i ).
tff(decl_24,type,
b2: $i ).
tff(decl_25,type,
a2: $i ).
cnf(single_axiom,axiom,
multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(inverse(X3),X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_0_2,axiom,
multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(inverse(X3),X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(multiply(X2,X3)))),multiply(X4,inverse(X3))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(X2,X3)))),multiply(X4,inverse(X3))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),X3))),X3)))),multiply(X1,inverse(X3))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_6,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(multiply(X3,inverse(X4))))),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X3))),
inference(spm,[status(thm)],[c_0_6,c_0_2]) ).
cnf(c_0_8,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(X3,inverse(X4)))))),multiply(X1,inverse(multiply(X3,inverse(X4))))),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X4))))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(X3,inverse(multiply(inverse(X4),X4))))))),multiply(X1,inverse(multiply(X3,inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(X5),X5))) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_2]) ).
cnf(c_0_10,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(inverse(X4),X4))) = X2,
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_11,plain,
multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X4,multiply(inverse(X3),X3))))),X2),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_12,plain,
multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_10,c_0_5]) ).
cnf(c_0_13,plain,
multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X4,multiply(inverse(X3),X3))))),X2),inverse(multiply(inverse(b2),b2))) = X4,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(b2),b2))) = inverse(multiply(inverse(X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_10]) ).
cnf(c_0_15,plain,
inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(X2),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_16,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),X3))),X4)))),multiply(X1,inverse(X4))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_12]) ).
cnf(c_0_17,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))) = inverse(multiply(inverse(X3),X3)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(X3))),inverse(multiply(inverse(X3),X3))) = inverse(X3),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_19,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(X4))),X2) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(multiply(inverse(X6),X6)))),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_20,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(X4),X4),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(X3))) = multiply(inverse(multiply(b2,inverse(multiply(inverse(X3),X3)))),multiply(b2,inverse(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_18]),c_0_3]) ).
cnf(c_0_22,plain,
multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,multiply(inverse(X2),X2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(X3),X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_10]),c_0_19]) ).
cnf(c_0_23,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_24,plain,
multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X2))),inverse(multiply(inverse(X3),X3))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(inverse(X5),X5)))),
inference(spm,[status(thm)],[c_0_7,c_0_17]) ).
cnf(c_0_25,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(inverse(b2),b2)))),multiply(X1,inverse(X2))),inverse(multiply(inverse(X3),X3))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_17]),c_0_17]) ).
cnf(c_0_26,plain,
multiply(inverse(X1),X1) = multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(X2),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_10]),c_0_19]),c_0_22]),c_0_23]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(X1,inverse(inverse(multiply(inverse(X2),X2))))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3))))) = inverse(inverse(multiply(inverse(X4),X4))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_28,plain,
multiply(inverse(inverse(multiply(inverse(b2),b2))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_17]),c_0_25]),c_0_23]) ).
cnf(c_0_29,plain,
inverse(inverse(multiply(inverse(X1),X1))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_26]) ).
cnf(c_0_30,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))))),multiply(X1,inverse(multiply(X5,inverse(X4))))),inverse(multiply(inverse(X6),X6))) = inverse(multiply(X5,inverse(X3))),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_31,plain,
multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))),inverse(multiply(inverse(X5),X5))) = inverse(multiply(X3,inverse(multiply(multiply(X2,inverse(multiply(inverse(X6),X6))),X4)))),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_32,plain,
inverse(multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_17]) ).
cnf(c_0_33,plain,
inverse(multiply(X1,inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4))),inverse(multiply(inverse(b2),b2))),X4)))) = inverse(multiply(X1,inverse(X3))),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_35,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(inverse(X2)),inverse(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_17]),c_0_17]) ).
cnf(c_0_36,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(X3))) = multiply(inverse(inverse(multiply(inverse(X4),X4))),multiply(multiply(inverse(X5),X5),inverse(X3))),
inference(spm,[status(thm)],[c_0_7,c_0_17]) ).
cnf(c_0_37,plain,
inverse(multiply(X1,inverse(multiply(multiply(inverse(X2),X2),X3)))) = inverse(multiply(X1,inverse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_10]),c_0_34]) ).
cnf(c_0_38,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(multiply(inverse(b2),b2),multiply(inverse(inverse(X2)),inverse(X3))),
inference(rw,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_39,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(X3))) = multiply(inverse(X4),multiply(multiply(inverse(multiply(X5,inverse(multiply(X4,X6)))),multiply(X5,inverse(X6))),inverse(X3))),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_40,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(X3))) = multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(X4),X4),inverse(X3))),
inference(rw,[status(thm)],[c_0_36,c_0_29]) ).
cnf(c_0_41,plain,
multiply(inverse(multiply(inverse(inverse(X1)),inverse(X2))),multiply(inverse(X3),X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X1))),
inference(spm,[status(thm)],[c_0_7,c_0_23]) ).
cnf(c_0_42,plain,
inverse(multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),inverse(X2))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_20]),c_0_20]),c_0_34]) ).
cnf(c_0_43,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(X1),X1)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_23]) ).
cnf(c_0_44,plain,
multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(X4))) = multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(X4))),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,multiply(inverse(b2),b2)),X3)))),multiply(X1,inverse(X3))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_34]),c_0_37]),c_0_23]),c_0_34]) ).
cnf(c_0_46,plain,
multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))),multiply(inverse(X5),X5)) = inverse(multiply(X3,inverse(multiply(multiply(X2,multiply(inverse(X6),X6)),X4)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_34]),c_0_34]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(inverse(X3),X3),X2)))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_48,plain,
multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),multiply(inverse(X4),X4)) = X2,
inference(rw,[status(thm)],[c_0_10,c_0_34]) ).
cnf(c_0_49,plain,
multiply(inverse(multiply(b2,inverse(multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(X3),X3))))),multiply(b2,multiply(inverse(b2),b2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_34]),c_0_19]),c_0_34]) ).
cnf(c_0_50,plain,
multiply(inverse(multiply(X1,multiply(inverse(b2),b2))),multiply(X1,inverse(X2))) = multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(X2))),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
multiply(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(X1))),multiply(inverse(X2),X2)) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_40]),c_0_34]) ).
cnf(c_0_52,plain,
inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(multiply(inverse(X2),multiply(inverse(X3),X3)),X2)))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_43]) ).
cnf(c_0_53,plain,
multiply(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(X1),X1),inverse(X2))),multiply(inverse(X3),X3)) = inverse(X2),
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_54,plain,
multiply(inverse(multiply(b2,inverse(inverse(X1)))),multiply(b2,multiply(inverse(b2),b2))) = inverse(multiply(inverse(inverse(X1)),multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_55,plain,
multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_52]),c_0_53]) ).
cnf(c_0_56,plain,
multiply(inverse(multiply(b2,inverse(inverse(X1)))),multiply(b2,multiply(inverse(X2),X2))) = inverse(multiply(inverse(inverse(X1)),multiply(inverse(X2),X2))),
inference(spm,[status(thm)],[c_0_54,c_0_23]) ).
cnf(c_0_57,plain,
inverse(multiply(X1,inverse(inverse(multiply(multiply(inverse(X2),X2),X3))))) = inverse(multiply(X1,inverse(inverse(X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_37]),c_0_37]) ).
cnf(c_0_58,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
prove_these_axioms_2 ).
cnf(c_0_59,plain,
multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X2))),multiply(inverse(X3),X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,multiply(inverse(X5),X5))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_34]),c_0_34]) ).
cnf(c_0_60,plain,
multiply(inverse(multiply(inverse(inverse(X1)),multiply(inverse(b2),b2))),multiply(inverse(b2),b2)) = multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_20]),c_0_20]) ).
cnf(c_0_61,plain,
inverse(inverse(inverse(X1))) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_55]),c_0_56]),c_0_55]) ).
cnf(c_0_62,plain,
inverse(multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),multiply(inverse(b2),b2))) = inverse(multiply(inverse(inverse(X2)),multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_57]),c_0_54]) ).
cnf(c_0_63,negated_conjecture,
multiply(multiply(inverse(X1),X1),a2) != a2,
inference(spm,[status(thm)],[c_0_58,c_0_23]) ).
cnf(c_0_64,plain,
inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_15,c_0_15]) ).
cnf(c_0_65,plain,
multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(X1))),inverse(X2))),inverse(X1)) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(inverse(X4),X4))),
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_19,c_0_20]),c_0_34]),c_0_37]),c_0_23]),c_0_34]),c_0_50]),c_0_34]) ).
cnf(c_0_66,plain,
inverse(multiply(multiply(inverse(X1),X1),inverse(X2))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(inverse(X4),X4))),
inference(rw,[status(thm)],[c_0_59,c_0_55]) ).
cnf(c_0_67,plain,
multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(X1))) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_55]),c_0_55]),c_0_61]) ).
cnf(c_0_68,plain,
inverse(multiply(multiply(inverse(X1),X1),X2)) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_55]),c_0_55]),c_0_61]),c_0_61]) ).
cnf(c_0_69,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(X1),X1)),a2) != a2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_64]) ).
cnf(c_0_70,plain,
multiply(inverse(multiply(inverse(X1),inverse(X2))),inverse(X1)) = inverse(inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68]) ).
cnf(c_0_71,plain,
inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),X2)))),inverse(inverse(X2)))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_20]),c_0_20]),c_0_34]) ).
cnf(c_0_72,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(X1),X1))),a2) != a2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_64]),c_0_64]) ).
cnf(c_0_73,plain,
multiply(multiply(inverse(b2),b2),inverse(X1)) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_61]),c_0_68]),c_0_61]) ).
cnf(c_0_74,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(X1),X1)))),a2) != a2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_64]),c_0_64]) ).
cnf(c_0_75,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(X3),X3)))) = multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_10]),c_0_19]) ).
cnf(c_0_76,plain,
inverse(inverse(multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(X3),X3)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_66]),c_0_73]) ).
cnf(c_0_77,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(b2,inverse(multiply(inverse(X1),X1)))),multiply(b2,inverse(multiply(inverse(b2),b2))))))),a2) != a2,
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
inverse(inverse(X1)) = X1,
inference(spm,[status(thm)],[c_0_61,c_0_76]) ).
cnf(c_0_79,negated_conjecture,
multiply(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(b2,multiply(inverse(X1),X1))),multiply(b2,multiply(inverse(b2),b2)))))),a2) != a2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_34]),c_0_34]) ).
cnf(c_0_80,plain,
multiply(multiply(inverse(b2),b2),X1) = X1,
inference(spm,[status(thm)],[c_0_73,c_0_78]) ).
cnf(c_0_81,plain,
multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,multiply(inverse(X3),X3))) = multiply(inverse(X4),X4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_23]),c_0_34]),c_0_34]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_43]),c_0_43]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 20:05:49 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.54 start to proof: theBenchmark
% 0.85/0.93 % Version : CSE_E---1.5
% 0.85/0.93 % Problem : theBenchmark.p
% 0.85/0.93 % Proof found
% 0.85/0.93 % SZS status Theorem for theBenchmark.p
% 0.85/0.93 % SZS output start Proof
% See solution above
% 0.85/0.94 % Total time : 0.385000 s
% 0.85/0.94 % SZS output end Proof
% 0.85/0.94 % Total time : 0.388000 s
%------------------------------------------------------------------------------