TSTP Solution File: GRP082-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP082-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 00:15:32 EDT 2023
% Result : Unsatisfiable 0.55s 1.06s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% 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 ).
tff(decl_27,type,
b2: $i ).
tff(decl_28,type,
a2: $i ).
tff(decl_29,type,
a3: $i ).
tff(decl_30,type,
b3: $i ).
tff(decl_31,type,
c3: $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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(multiply,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
file('/export/starexec/sandbox2/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,
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_6,plain,
inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(a1,double_divide(a1,a1))))),double_divide(X3,double_divide(X2,X3)))) = double_divide(a1,inverse(X1)),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
double_divide(inverse(X1),double_divide(a1,inverse(X1))) = double_divide(a1,double_divide(a1,a1)),
inference(spm,[status(thm)],[c_0_3,c_0_6]) ).
cnf(c_0_8,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]),c_0_3]) ).
cnf(c_0_9,plain,
double_divide(X1,double_divide(a1,X1)) = double_divide(a1,double_divide(a1,a1)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]),c_0_5]) ).
cnf(c_0_11,plain,
double_divide(X1,double_divide(a1,X1)) = double_divide(X2,double_divide(a1,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_12,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_10]) ).
cnf(c_0_13,plain,
double_divide(X1,double_divide(a1,X1)) = double_divide(double_divide(a1,a1),double_divide(X2,double_divide(a1,X2))),
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_14,plain,
double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X2,double_divide(a1,X2))),double_divide(X3,double_divide(a1,X3))))) = X1,
inference(spm,[status(thm)],[c_0_3,c_0_11]) ).
cnf(c_0_15,plain,
double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_12]) ).
cnf(c_0_16,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_8]) ).
cnf(c_0_17,plain,
inverse(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),double_divide(X1,double_divide(a1,X1)))) = double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_13]),c_0_13]) ).
cnf(c_0_18,plain,
double_divide(inverse(X1),double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1))))) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_19,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_15,c_0_15]) ).
cnf(c_0_20,plain,
double_divide(inverse(X1),double_divide(X2,inverse(double_divide(X3,double_divide(X2,X3))))) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_21,plain,
inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),inverse(double_divide(a1,double_divide(a1,a1))))))) = double_divide(X2,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,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_23,plain,
double_divide(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X2)))),X3) = double_divide(a1,double_divide(inverse(X3),a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_19]) ).
cnf(c_0_24,plain,
inverse(double_divide(X1,double_divide(a1,double_divide(inverse(X1),a1)))) = double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_19]),c_0_19]) ).
cnf(c_0_25,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_22]),c_0_4]) ).
cnf(c_0_26,plain,
inverse(double_divide(double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),double_divide(X1,double_divide(double_divide(a1,a1),X1)))) = double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1))))),
inference(spm,[status(thm)],[c_0_6,c_0_17]) ).
cnf(c_0_27,plain,
double_divide(inverse(X1),double_divide(a1,double_divide(inverse(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1)),a1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_23]),c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
inverse(double_divide(inverse(double_divide(X1,double_divide(a1,X1))),double_divide(a1,double_divide(a1,a1)))) = double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_19]),c_0_25]),c_0_17]) ).
cnf(c_0_29,plain,
inverse(double_divide(double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),double_divide(double_divide(a1,double_divide(a1,a1)),double_divide(X1,double_divide(a1,X1))))) = double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1))))),
inference(spm,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_30,plain,
double_divide(a1,double_divide(inverse(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1)),a1)) = double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_27]),c_0_4]),c_0_28]) ).
cnf(c_0_31,plain,
inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X2)))) = double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_32,plain,
double_divide(X1,double_divide(a1,double_divide(inverse(X1),a1))) = double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_23]),c_0_19]),c_0_23]) ).
cnf(c_0_33,plain,
inverse(double_divide(a1,double_divide(inverse(double_divide(a1,double_divide(double_divide(a1,a1),a1))),a1))) = double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_23]),c_0_19]) ).
cnf(c_0_34,plain,
double_divide(inverse(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1)),a1) = inverse(double_divide(a1,double_divide(a1,a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_30]),c_0_3]) ).
cnf(c_0_35,plain,
inverse(double_divide(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1),double_divide(X1,double_divide(X2,X1)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_31]),c_0_3]) ).
cnf(c_0_36,plain,
double_divide(double_divide(a1,double_divide(inverse(double_divide(a1,double_divide(double_divide(a1,a1),a1))),a1)),double_divide(a1,double_divide(double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1))))),a1))) = double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
double_divide(double_divide(X1,double_divide(X2,X1)),double_divide(X3,double_divide(X4,X3))) = double_divide(a1,double_divide(double_divide(X2,X4),a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_19]),c_0_19]) ).
cnf(c_0_38,plain,
double_divide(inverse(double_divide(inverse(double_divide(X1,double_divide(a1,X1))),a1)),a1) = inverse(double_divide(X1,double_divide(a1,X1))),
inference(spm,[status(thm)],[c_0_34,c_0_15]) ).
cnf(c_0_39,plain,
inverse(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1)) = double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1),
inference(spm,[status(thm)],[c_0_21,c_0_35]) ).
cnf(c_0_40,plain,
double_divide(a1,double_divide(double_divide(inverse(double_divide(a1,double_divide(double_divide(a1,a1),a1))),double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1)))))),a1)) = double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
double_divide(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1),a1) = inverse(double_divide(a1,double_divide(a1,a1))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
double_divide(double_divide(a1,double_divide(inverse(X1),a1)),double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1)))) = double_divide(a1,double_divide(X1,a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_32]),c_0_19]) ).
cnf(c_0_43,plain,
inverse(double_divide(double_divide(double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),double_divide(a1,double_divide(double_divide(a1,a1),a1))),double_divide(a1,double_divide(double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1))))),a1)))) = double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_19]) ).
cnf(c_0_44,plain,
double_divide(double_divide(inverse(double_divide(a1,double_divide(double_divide(a1,a1),a1))),double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1)))))),a1) = double_divide(a1,double_divide(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_40]),c_0_10]),c_0_15]) ).
cnf(c_0_45,plain,
double_divide(double_divide(inverse(double_divide(X1,double_divide(a1,X1))),a1),a1) = inverse(double_divide(X1,double_divide(a1,X1))),
inference(spm,[status(thm)],[c_0_41,c_0_15]) ).
cnf(c_0_46,plain,
double_divide(a1,double_divide(double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),a1)) = double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_23]),c_0_37]),c_0_44]),c_0_45]),c_0_23]),c_0_24]),c_0_45]) ).
cnf(c_0_47,plain,
double_divide(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1),double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1))))) = double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_48,plain,
double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1) = double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_46]),c_0_47]),c_0_24]) ).
cnf(c_0_49,plain,
double_divide(inverse(double_divide(X1,double_divide(a1,X1))),a1) = double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),
inference(spm,[status(thm)],[c_0_48,c_0_15]) ).
cnf(c_0_50,plain,
double_divide(inverse(double_divide(a1,double_divide(double_divide(a1,a1),a1))),double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1)))))) = inverse(double_divide(double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_49]) ).
cnf(c_0_51,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_16,c_0_8]) ).
cnf(c_0_52,plain,
double_divide(inverse(double_divide(double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))))),a1) = double_divide(a1,double_divide(inverse(a1),a1)),
inference(rw,[status(thm)],[c_0_44,c_0_50]) ).
cnf(c_0_53,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_51,c_0_16]) ).
cnf(c_0_54,plain,
double_divide(inverse(a1),inverse(double_divide(double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1)))))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_52]),c_0_4]),c_0_10]) ).
cnf(c_0_55,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_51,c_0_53]),c_0_51]) ).
cnf(c_0_56,plain,
inverse(double_divide(double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))))) = double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_54]),c_0_4]),c_0_17]) ).
cnf(c_0_57,plain,
double_divide(X1,inverse(double_divide(X2,double_divide(X3,inverse(double_divide(X4,double_divide(X3,X4))))))) = double_divide(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_23]),c_0_5]) ).
cnf(c_0_58,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_22,c_0_55]),c_0_22]) ).
cnf(c_0_59,plain,
double_divide(inverse(double_divide(a1,double_divide(double_divide(a1,a1),a1))),double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1)))))) = double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[c_0_50,c_0_56]) ).
cnf(c_0_60,plain,
inverse(double_divide(X1,double_divide(X2,inverse(double_divide(X3,double_divide(X2,X3)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_57]),c_0_8]) ).
cnf(c_0_61,plain,
inverse(double_divide(a1,double_divide(double_divide(a1,a1),a1))) = inverse(double_divide(a1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_21]),c_0_60]) ).
cnf(c_0_62,plain,
double_divide(a1,double_divide(double_divide(a1,a1),a1)) = double_divide(a1,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_61]),c_0_14]) ).
cnf(c_0_63,plain,
double_divide(double_divide(a1,a1),a1) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_62]),c_0_3]) ).
cnf(c_0_64,plain,
inverse(double_divide(X1,double_divide(double_divide(a1,a1),inverse(double_divide(a1,a1))))) = X1,
inference(spm,[status(thm)],[c_0_60,c_0_63]) ).
cnf(c_0_65,plain,
double_divide(X1,double_divide(double_divide(a1,a1),X1)) = double_divide(a1,a1),
inference(spm,[status(thm)],[c_0_15,c_0_63]) ).
cnf(c_0_66,plain,
double_divide(inverse(X1),inverse(double_divide(X1,double_divide(a1,a1)))) = inverse(double_divide(a1,a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_64]),c_0_65]) ).
cnf(c_0_67,plain,
inverse(double_divide(double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),double_divide(a1,a1))) = double_divide(a1,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_63]),c_0_49]) ).
cnf(c_0_68,plain,
double_divide(double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),double_divide(a1,a1)) = inverse(double_divide(a1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_24]),c_0_49]) ).
cnf(c_0_69,plain,
inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X2)))) = double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))),
inference(rw,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_70,plain,
inverse(inverse(double_divide(a1,a1))) = double_divide(a1,a1),
inference(rw,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,plain,
inverse(double_divide(inverse(double_divide(a1,a1)),double_divide(a1,a1))) = double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_65]),c_0_4]),c_0_28]),c_0_65]) ).
cnf(c_0_72,plain,
inverse(double_divide(a1,double_divide(inverse(double_divide(X1,double_divide(double_divide(a1,a1),X1))),a1))) = double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1))))),
inference(rw,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_73,plain,
double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))) = double_divide(a1,inverse(double_divide(a1,double_divide(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_65]),c_0_71]) ).
cnf(c_0_74,plain,
inverse(double_divide(a1,double_divide(inverse(double_divide(double_divide(a1,double_divide(inverse(double_divide(a1,a1)),a1)),double_divide(a1,double_divide(a1,double_divide(inverse(a1),a1))))),a1))) = double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1))))),
inference(spm,[status(thm)],[c_0_72,c_0_32]) ).
cnf(c_0_75,plain,
double_divide(a1,double_divide(inverse(double_divide(a1,a1)),a1)) = inverse(double_divide(a1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_73]),c_0_23]) ).
cnf(c_0_76,plain,
double_divide(a1,double_divide(inverse(a1),a1)) = inverse(double_divide(a1,double_divide(a1,a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_73]),c_0_3]) ).
cnf(c_0_77,plain,
double_divide(a1,inverse(inverse(double_divide(a1,double_divide(a1,a1))))) = double_divide(a1,a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_20]),c_0_75]),c_0_70]) ).
cnf(c_0_78,plain,
inverse(inverse(double_divide(a1,double_divide(a1,a1)))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_77]),c_0_3]) ).
cnf(c_0_79,plain,
double_divide(X1,double_divide(inverse(a1),X1)) = inverse(double_divide(a1,double_divide(a1,a1))),
inference(spm,[status(thm)],[c_0_15,c_0_76]) ).
cnf(c_0_80,plain,
inverse(inverse(double_divide(X1,double_divide(a1,X1)))) = a1,
inference(spm,[status(thm)],[c_0_78,c_0_15]) ).
cnf(c_0_81,plain,
inverse(double_divide(a1,double_divide(a1,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_35,c_0_79]),c_0_49]),c_0_79]),c_0_23]),c_0_80]) ).
cnf(c_0_82,plain,
double_divide(a1,double_divide(a1,a1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_81]),c_0_14]) ).
cnf(c_0_83,plain,
double_divide(inverse(a1),inverse(double_divide(X1,double_divide(a1,X1)))) = inverse(double_divide(a1,a1)),
inference(spm,[status(thm)],[c_0_66,c_0_15]) ).
cnf(c_0_84,plain,
double_divide(X1,double_divide(a1,X1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_82]),c_0_63]) ).
cnf(c_0_85,plain,
double_divide(inverse(a1),inverse(a1)) = inverse(double_divide(a1,a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_63]) ).
cnf(c_0_86,plain,
inverse(double_divide(a1,double_divide(X1,inverse(double_divide(a1,a1))))) = double_divide(X1,a1),
inference(spm,[status(thm)],[c_0_21,c_0_66]) ).
cnf(c_0_87,plain,
inverse(inverse(a1)) = a1,
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,plain,
inverse(inverse(double_divide(a1,double_divide(X1,a1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_85]),c_0_86]),c_0_87]),c_0_15]) ).
cnf(c_0_89,plain,
inverse(inverse(double_divide(double_divide(inverse(double_divide(a1,double_divide(a1,a1))),a1),double_divide(X1,double_divide(a1,inverse(a1)))))) = X1,
inference(spm,[status(thm)],[c_0_58,c_0_24]) ).
cnf(c_0_90,plain,
double_divide(double_divide(a1,double_divide(inverse(X1),a1)),double_divide(a1,inverse(a1))) = double_divide(a1,double_divide(X1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_73]),c_0_84]) ).
cnf(c_0_91,plain,
inverse(inverse(double_divide(X1,double_divide(X2,X1)))) = X2,
inference(spm,[status(thm)],[c_0_88,c_0_15]) ).
cnf(c_0_92,plain,
double_divide(a1,double_divide(inverse(X1),a1)) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_35]) ).
cnf(c_0_93,plain,
inverse(inverse(inverse(X1))) = inverse(X1),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_94,plain,
double_divide(double_divide(a1,X1),a1) = double_divide(a1,double_divide(X1,a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_84]),c_0_19]) ).
cnf(c_0_95,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_93]),c_0_14]) ).
cnf(c_0_96,plain,
double_divide(a1,double_divide(a1,inverse(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_23,c_0_94]),c_0_49]),c_0_79]),c_0_84]),c_0_79]),c_0_84]) ).
cnf(c_0_97,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(rw,[status(thm)],[c_0_91,c_0_95]) ).
cnf(c_0_98,plain,
double_divide(inverse(double_divide(inverse(double_divide(X1,double_divide(a1,X2))),double_divide(a1,double_divide(a1,a1)))),inverse(double_divide(inverse(double_divide(double_divide(inverse(double_divide(X1,double_divide(X3,X2))),double_divide(X4,double_divide(X3,X4))),X5)),double_divide(X6,double_divide(inverse(X7),X6))))) = inverse(double_divide(inverse(double_divide(X7,double_divide(X8,X5))),double_divide(X9,double_divide(X8,X9)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]) ).
cnf(c_0_99,plain,
double_divide(inverse(a1),a1) = double_divide(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_96]),c_0_94]),c_0_79]),c_0_84]) ).
cnf(c_0_100,plain,
double_divide(X1,inverse(X1)) = double_divide(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_73]),c_0_97]),c_0_84]) ).
cnf(c_0_101,plain,
inverse(double_divide(a1,inverse(a1))) = 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_98,c_0_84]),c_0_98]),c_0_28]),c_0_84]),c_0_84]),c_0_99]) ).
cnf(c_0_102,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
prove_these_axioms ).
cnf(c_0_103,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
multiply ).
cnf(c_0_104,plain,
double_divide(inverse(X1),X1) = double_divide(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_100,c_0_95]) ).
cnf(c_0_105,plain,
inverse(double_divide(X1,double_divide(a1,inverse(a1)))) = X1,
inference(spm,[status(thm)],[c_0_60,c_0_84]) ).
cnf(c_0_106,plain,
double_divide(X1,double_divide(a1,inverse(a1))) = inverse(X1),
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_95]),c_0_84]),c_0_84]),c_0_99]),c_0_101]) ).
cnf(c_0_107,negated_conjecture,
( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(b1,inverse(b1))) != inverse(double_divide(a1,inverse(a1)))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_103]),c_0_103]),c_0_103]),c_0_103]),c_0_103]),c_0_103]),c_0_103]) ).
cnf(c_0_108,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(spm,[status(thm)],[c_0_10,c_0_104]),c_0_105]),c_0_97]),c_0_97]) ).
cnf(c_0_109,plain,
double_divide(X1,double_divide(X2,inverse(X2))) = inverse(X1),
inference(spm,[status(thm)],[c_0_106,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| inverse(double_divide(b1,inverse(b1))) != double_divide(a1,inverse(a1))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ),
inference(rw,[status(thm)],[c_0_107,c_0_101]) ).
cnf(c_0_111,plain,
inverse(double_divide(X1,inverse(X1))) = double_divide(X1,inverse(X1)),
inference(spm,[status(thm)],[c_0_101,c_0_100]) ).
cnf(c_0_112,plain,
double_divide(inverse(X1),inverse(X2)) = inverse(double_divide(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_60]),c_0_97]),c_0_109]) ).
cnf(c_0_113,plain,
double_divide(double_divide(a1,inverse(a1)),X1) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_14]),c_0_97]),c_0_84]),c_0_99]),c_0_101]) ).
cnf(c_0_114,negated_conjecture,
( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| inverse(double_divide(a2,double_divide(b2,inverse(b2)))) != a2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111]),c_0_111]),c_0_100]) ).
cnf(c_0_115,plain,
double_divide(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X3))),inverse(double_divide(X3,X4))) = double_divide(X2,X4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_95]),c_0_97]) ).
cnf(c_0_116,plain,
inverse(double_divide(inverse(X1),X2)) = double_divide(inverse(X2),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_112,c_0_35]),c_0_49]),c_0_79]),c_0_84]),c_0_97]),c_0_113]) ).
cnf(c_0_117,negated_conjecture,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_109]),c_0_95])]) ).
cnf(c_0_118,plain,
double_divide(double_divide(inverse(X1),X2),X3) = inverse(double_divide(double_divide(X1,X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_104]),c_0_109]),c_0_112]),c_0_116]) ).
cnf(c_0_119,negated_conjecture,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),inverse(c3)),
inference(rw,[status(thm)],[c_0_117,c_0_108]) ).
cnf(c_0_120,plain,
double_divide(inverse(double_divide(X1,X2)),X3) = double_divide(X1,inverse(double_divide(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_112]),c_0_108]) ).
cnf(c_0_121,negated_conjecture,
double_divide(double_divide(b3,a3),inverse(c3)) != double_divide(inverse(a3),double_divide(c3,b3)),
inference(rw,[status(thm)],[c_0_119,c_0_116]) ).
cnf(c_0_122,plain,
double_divide(double_divide(X1,X2),inverse(X3)) = double_divide(inverse(X2),double_divide(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_120]),c_0_108]) ).
cnf(c_0_123,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP082-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n006.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 20:04:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.55/1.06 % Version : CSE_E---1.5
% 0.55/1.06 % Problem : theBenchmark.p
% 0.55/1.06 % Proof found
% 0.55/1.06 % SZS status Theorem for theBenchmark.p
% 0.55/1.06 % SZS output start Proof
% See solution above
% 0.55/1.07 % Total time : 0.458000 s
% 0.55/1.07 % SZS output end Proof
% 0.55/1.07 % Total time : 0.461000 s
%------------------------------------------------------------------------------