TSTP Solution File: GRP499-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP499-1 : 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 : 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 00:20:33 EDT 2023
% Result : Unsatisfiable 0.20s 0.78s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 8
% Syntax : Number of formulae : 88 ( 83 unt; 5 typ; 0 def)
% Number of atoms : 83 ( 82 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 : 12 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 150 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
inverse: $i > $i ).
tff(decl_23,type,
double_divide: ( $i * $i ) > $i ).
tff(decl_24,type,
multiply: ( $i * $i ) > $i ).
tff(decl_25,type,
a1: $i ).
tff(decl_26,type,
b1: $i ).
cnf(single_axiom,axiom,
double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(multiply,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_3,axiom,
double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4))))) = X3,
single_axiom ).
cnf(c_0_4,plain,
double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(inverse(X4),X3))))) = inverse(double_divide(inverse(double_divide(X4,double_divide(X5,X2))),double_divide(X6,double_divide(X5,X6)))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X3)))),double_divide(X4,double_divide(X2,X4)))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
double_divide(inverse(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X3))))),inverse(double_divide(X3,double_divide(X4,double_divide(X5,X4))))) = double_divide(X2,X5),
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
double_divide(inverse(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X4,double_divide(inverse(X3),X5))))))))),X5) = double_divide(X2,X4),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,plain,
double_divide(inverse(inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X3)))),double_divide(X4,double_divide(X2,inverse(X3)))))),X5) = double_divide(X4,X5),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_9,plain,
double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(inverse(X2),X3))),double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X4,X5))),double_divide(X6,double_divide(X4,X6)))),X5)))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_10,plain,
double_divide(X1,inverse(inverse(double_divide(inverse(double_divide(X2,double_divide(X3,double_divide(inverse(X2),X4)))),double_divide(X5,double_divide(X3,inverse(X4))))))) = double_divide(X1,X5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_7]) ).
cnf(c_0_11,plain,
inverse(inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X3)))),double_divide(X4,double_divide(X2,inverse(X3)))))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_9]) ).
cnf(c_0_12,plain,
double_divide(inverse(inverse(double_divide(X1,double_divide(X2,inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,X3)),double_divide(X4,X3))),double_divide(X5,double_divide(X4,X5)))))))),X6) = double_divide(X2,X6),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_13,plain,
inverse(inverse(double_divide(X1,double_divide(X2,inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,X3)),double_divide(X4,X3))),double_divide(X5,double_divide(X4,X5)))))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_11]) ).
cnf(c_0_14,plain,
inverse(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X3,X4)),double_divide(X5,X4)))))))) = inverse(inverse(double_divide(X3,double_divide(X2,X5)))),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_15,plain,
double_divide(inverse(inverse(double_divide(X1,double_divide(X2,X3)))),inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,X4)),double_divide(X3,X4))),double_divide(X5,double_divide(X6,X5))))) = double_divide(X2,X6),
inference(spm,[status(thm)],[c_0_6,c_0_14]) ).
cnf(c_0_16,plain,
inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(X3,double_divide(X4,X3))))),double_divide(X5,double_divide(X2,X5)))) = double_divide(X4,inverse(X1)),
inference(spm,[status(thm)],[c_0_4,c_0_15]) ).
cnf(c_0_17,plain,
inverse(double_divide(inverse(double_divide(X1,double_divide(inverse(X2),X3))),double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X4,X5))),double_divide(X6,double_divide(X4,X6)))),X5))) = inverse(double_divide(inverse(double_divide(X1,double_divide(a1,X3))),double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_9]),c_0_4]) ).
cnf(c_0_18,plain,
double_divide(inverse(X1),double_divide(X2,inverse(X1))) = double_divide(X3,double_divide(X2,X3)),
inference(spm,[status(thm)],[c_0_3,c_0_16]) ).
cnf(c_0_19,plain,
inverse(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),double_divide(a1,double_divide(a1,a1)))) = inverse(double_divide(inverse(double_divide(X1,double_divide(a1,X1))),double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_17]),c_0_18]) ).
cnf(c_0_20,plain,
double_divide(inverse(a1),inverse(double_divide(inverse(double_divide(X1,double_divide(a1,X1))),double_divide(a1,double_divide(a1,a1))))) = a1,
inference(spm,[status(thm)],[c_0_3,c_0_19]) ).
cnf(c_0_21,plain,
double_divide(inverse(inverse(double_divide(X1,double_divide(X2,inverse(double_divide(X3,double_divide(X4,double_divide(double_divide(inverse(X1),X3),X4)))))))),X5) = double_divide(X2,X5),
inference(spm,[status(thm)],[c_0_12,c_0_5]) ).
cnf(c_0_22,plain,
double_divide(inverse(a1),double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2))))) = a1,
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_23,plain,
double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),double_divide(a1,double_divide(a1,a1))))) = X1,
inference(spm,[status(thm)],[c_0_3,c_0_19]) ).
cnf(c_0_24,plain,
inverse(inverse(double_divide(X1,double_divide(X2,inverse(double_divide(X3,double_divide(X4,double_divide(double_divide(inverse(X1),X3),X4)))))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_21]),c_0_11]) ).
cnf(c_0_25,plain,
double_divide(inverse(a1),double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),double_divide(a1,double_divide(a1,a1)))),X1)))) = a1,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
inverse(double_divide(X1,double_divide(inverse(a1),X1))) = inverse(inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_23]) ).
cnf(c_0_27,plain,
double_divide(X1,double_divide(inverse(a1),X1)) = inverse(a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_26]),c_0_23]) ).
cnf(c_0_28,plain,
double_divide(double_divide(inverse(a1),inverse(a1)),inverse(a1)) = inverse(a1),
inference(spm,[status(thm)],[c_0_27,c_0_27]) ).
cnf(c_0_29,plain,
double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_30,plain,
double_divide(inverse(a1),double_divide(double_divide(inverse(a1),inverse(a1)),inverse(double_divide(inverse(a1),inverse(a1))))) = a1,
inference(spm,[status(thm)],[c_0_22,c_0_28]) ).
cnf(c_0_31,plain,
inverse(double_divide(inverse(double_divide(a1,inverse(a1))),double_divide(X1,double_divide(X2,X1)))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_27]) ).
cnf(c_0_32,plain,
double_divide(double_divide(double_divide(inverse(a1),inverse(a1)),inverse(double_divide(inverse(a1),inverse(a1)))),a1) = inverse(a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]) ).
cnf(c_0_33,plain,
inverse(double_divide(inverse(double_divide(a1,inverse(a1))),inverse(a1))) = inverse(a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_32]) ).
cnf(c_0_34,plain,
double_divide(inverse(double_divide(a1,inverse(a1))),inverse(a1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_33]),c_0_3]) ).
cnf(c_0_35,plain,
double_divide(inverse(X1),inverse(double_divide(inverse(inverse(a1)),inverse(a1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_27]),c_0_27]) ).
cnf(c_0_36,plain,
double_divide(inverse(a1),double_divide(inverse(a1),inverse(inverse(a1)))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_3]) ).
cnf(c_0_37,plain,
inverse(double_divide(inverse(double_divide(a1,inverse(a1))),double_divide(inverse(a1),a1))) = inverse(double_divide(a1,inverse(a1))),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_38,plain,
double_divide(inverse(double_divide(inverse(inverse(a1)),inverse(a1))),a1) = inverse(a1),
inference(spm,[status(thm)],[c_0_27,c_0_35]) ).
cnf(c_0_39,plain,
double_divide(double_divide(X1,inverse(a1)),double_divide(X2,double_divide(X1,X2))) = inverse(a1),
inference(spm,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_40,plain,
double_divide(double_divide(inverse(a1),inverse(inverse(a1))),a1) = inverse(a1),
inference(spm,[status(thm)],[c_0_27,c_0_36]) ).
cnf(c_0_41,plain,
double_divide(inverse(inverse(double_divide(a1,inverse(a1)))),inverse(a1)) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_37]),c_0_27]),c_0_34]) ).
cnf(c_0_42,plain,
double_divide(inverse(a1),double_divide(inverse(double_divide(inverse(inverse(a1)),inverse(a1))),inverse(double_divide(a1,inverse(a1))))) = a1,
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
cnf(c_0_43,plain,
double_divide(double_divide(double_divide(inverse(a1),inverse(inverse(a1))),inverse(a1)),double_divide(a1,inverse(a1))) = inverse(a1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
double_divide(X1,double_divide(X2,X1)) = double_divide(double_divide(inverse(a1),X2),inverse(a1)),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
cnf(c_0_45,plain,
inverse(inverse(double_divide(a1,inverse(a1)))) = inverse(double_divide(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_41]),c_0_37]) ).
cnf(c_0_46,plain,
inverse(double_divide(inverse(double_divide(double_divide(inverse(inverse(a1)),inverse(a1)),a1)),inverse(a1))) = inverse(double_divide(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_42]),c_0_27]) ).
cnf(c_0_47,plain,
double_divide(double_divide(a1,double_divide(inverse(inverse(a1)),a1)),double_divide(a1,inverse(a1))) = inverse(a1),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
inverse(double_divide(a1,inverse(a1))) = double_divide(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_45]),c_0_23]) ).
cnf(c_0_49,plain,
double_divide(inverse(inverse(double_divide(X1,double_divide(X2,X3)))),inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,double_divide(a1,X3))),double_divide(a1,double_divide(a1,a1)))),double_divide(X4,double_divide(X5,X4))))) = double_divide(X2,X5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]) ).
cnf(c_0_50,plain,
double_divide(inverse(double_divide(double_divide(inverse(inverse(a1)),inverse(a1)),a1)),inverse(a1)) = double_divide(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_46]),c_0_23]) ).
cnf(c_0_51,plain,
double_divide(a1,double_divide(double_divide(a1,double_divide(inverse(inverse(a1)),a1)),a1)) = double_divide(double_divide(a1,inverse(a1)),inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_47]),c_0_44]) ).
cnf(c_0_52,plain,
double_divide(double_divide(a1,inverse(a1)),inverse(a1)) = a1,
inference(rw,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_53,plain,
double_divide(inverse(double_divide(double_divide(inverse(inverse(a1)),inverse(a1)),a1)),X1) = double_divide(a1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_49]) ).
cnf(c_0_54,plain,
inverse(double_divide(double_divide(a1,inverse(a1)),double_divide(X1,double_divide(X2,X1)))) = X2,
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_55,plain,
double_divide(a1,double_divide(double_divide(a1,double_divide(inverse(inverse(a1)),a1)),a1)) = a1,
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
inverse(double_divide(double_divide(inverse(inverse(a1)),inverse(a1)),a1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_53]),c_0_3]) ).
cnf(c_0_57,plain,
inverse(inverse(a1)) = a1,
inference(spm,[status(thm)],[c_0_54,c_0_27]) ).
cnf(c_0_58,plain,
inverse(double_divide(double_divide(a1,inverse(a1)),a1)) = double_divide(a1,double_divide(inverse(inverse(a1)),a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_55]),c_0_48]) ).
cnf(c_0_59,plain,
double_divide(X1,double_divide(double_divide(a1,inverse(a1)),X1)) = double_divide(inverse(a1),a1),
inference(spm,[status(thm)],[c_0_29,c_0_52]) ).
cnf(c_0_60,plain,
double_divide(X1,double_divide(X2,X1)) = double_divide(double_divide(X3,X2),double_divide(X4,double_divide(X3,X4))),
inference(spm,[status(thm)],[c_0_29,c_0_29]) ).
cnf(c_0_61,plain,
double_divide(a1,double_divide(a1,a1)) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_57]) ).
cnf(c_0_62,plain,
double_divide(double_divide(X1,double_divide(a1,X1)),inverse(a1)) = double_divide(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_27]) ).
cnf(c_0_63,plain,
inverse(inverse(double_divide(X1,double_divide(X2,inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,double_divide(a1,X3))),double_divide(a1,double_divide(a1,a1)))),double_divide(X4,double_divide(X3,X4)))))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_5]) ).
cnf(c_0_64,plain,
double_divide(X1,double_divide(a1,X1)) = a1,
inference(spm,[status(thm)],[c_0_29,c_0_61]) ).
cnf(c_0_65,plain,
double_divide(inverse(a1),a1) = double_divide(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_66,plain,
inverse(inverse(double_divide(X1,double_divide(X2,X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_64]),c_0_65]),c_0_48]),c_0_54]) ).
cnf(c_0_67,plain,
inverse(double_divide(X1,double_divide(X2,X1))) = double_divide(X2,double_divide(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_66]),c_0_64]),c_0_64]),c_0_65]),c_0_48]) ).
cnf(c_0_68,plain,
double_divide(inverse(X1),double_divide(a1,inverse(a1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_57]),c_0_48]) ).
cnf(c_0_69,plain,
inverse(double_divide(double_divide(a1,inverse(a1)),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_68]) ).
cnf(c_0_70,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(rw,[status(thm)],[c_0_54,c_0_69]) ).
cnf(c_0_71,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
prove_these_axioms_1 ).
cnf(c_0_72,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
multiply ).
cnf(c_0_73,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_70]),c_0_48]),c_0_69]) ).
cnf(c_0_74,negated_conjecture,
inverse(double_divide(b1,inverse(b1))) != inverse(double_divide(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_72]) ).
cnf(c_0_75,plain,
double_divide(inverse(X1),X1) = double_divide(a1,inverse(a1)),
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_73,c_0_25]),c_0_64]),c_0_64]),c_0_65]),c_0_48]),c_0_69]) ).
cnf(c_0_76,plain,
double_divide(X1,double_divide(a1,inverse(a1))) = inverse(X1),
inference(rw,[status(thm)],[c_0_67,c_0_70]) ).
cnf(c_0_77,plain,
inverse(inverse(X1)) = X1,
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_63,c_0_70]),c_0_64]),c_0_65]),c_0_48]),c_0_70]),c_0_69]),c_0_70]) ).
cnf(c_0_78,negated_conjecture,
inverse(double_divide(b1,inverse(b1))) != double_divide(a1,inverse(a1)),
inference(rw,[status(thm)],[c_0_74,c_0_48]) ).
cnf(c_0_79,plain,
inverse(double_divide(X1,inverse(X2))) = double_divide(X2,inverse(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_16,c_0_75]),c_0_76]),c_0_77]),c_0_67]),c_0_76]),c_0_70]) ).
cnf(c_0_80,negated_conjecture,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_81,plain,
double_divide(X1,inverse(X1)) = double_divide(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_75,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_80,c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP499-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n017.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 : Mon Aug 28 19:25:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.78 % Version : CSE_E---1.5
% 0.20/0.78 % Problem : theBenchmark.p
% 0.20/0.78 % Proof found
% 0.20/0.78 % SZS status Theorem for theBenchmark.p
% 0.20/0.78 % SZS output start Proof
% See solution above
% 0.20/0.79 % Total time : 0.196000 s
% 0.20/0.79 % SZS output end Proof
% 0.20/0.79 % Total time : 0.198000 s
%------------------------------------------------------------------------------