%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP103-1 : TPTP v9.2.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 : Tue May 5 04:23:48 PM UTC 2026
% Result : Unsatisfiable 1.99s 1.95s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 5
% Syntax : Number of clauses : 87 ( 76 unt; 0 nHn; 17 RR)
% Number of literals : 110 ( 109 equ; 38 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity,axiom,
identity = double_divide(X1,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(inverse,axiom,
inverse(X1) = double_divide(X1,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(single_axiom,axiom,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(multiply,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_5,axiom,
identity = double_divide(X1,inverse(X1)),
identity ).
cnf(c_0_6,axiom,
inverse(X1) = double_divide(X1,identity),
inverse ).
cnf(c_0_7,axiom,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3,
single_axiom ).
cnf(c_0_8,plain,
identity = double_divide(X1,double_divide(X1,identity)),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X1),identity)),double_divide(identity,identity)) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
double_divide(identity,identity) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_11,plain,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),identity) = X3,
inference(rw,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_12,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X1),identity)),identity) = X1,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_10]) ).
cnf(c_0_14,plain,
double_divide(double_divide(identity,X1),identity) = double_divide(identity,double_divide(X1,identity)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,identity))) = identity,
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_16,plain,
double_divide(identity,double_divide(identity,double_divide(double_divide(X1,identity),identity))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]) ).
cnf(c_0_17,plain,
double_divide(double_divide(double_divide(X1,identity),identity),identity) = double_divide(identity,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15]),c_0_10]),c_0_10]) ).
cnf(c_0_18,plain,
double_divide(double_divide(X1,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14]) ).
cnf(c_0_19,plain,
double_divide(X1,identity) = double_divide(identity,double_divide(identity,double_divide(identity,X1))),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_20,plain,
double_divide(X1,double_divide(identity,double_divide(identity,double_divide(identity,X1)))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14]),c_0_17]) ).
cnf(c_0_21,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))))) = X3,
inference(rw,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_22,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1)))),identity) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_8]),c_0_10]) ).
cnf(c_0_23,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))))) = X1,
inference(rw,[status(thm)],[c_0_16,c_0_18]) ).
cnf(c_0_24,plain,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),X3) = identity,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X1),identity)),X1) = identity,
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_26,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1))))))) = X2,
inference(rw,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_27,plain,
double_divide(X1,double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X2,X1)))) = identity,
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_24]),c_0_8]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_28,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),X1) = identity,
inference(rw,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_29,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1)))),X2) = identity,
inference(spm,[status(thm)],[c_0_8,c_0_22]) ).
cnf(c_0_30,plain,
double_divide(double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1))))),double_divide(identity,X2)) = identity,
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_31,plain,
double_divide(X1,double_divide(identity,X1)) = identity,
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_27,c_0_28]),c_0_10]),c_0_14]),c_0_14]),c_0_14]),c_0_19]),c_0_23]) ).
cnf(c_0_32,plain,
double_divide(X1,double_divide(identity,double_divide(double_divide(identity,X2),double_divide(identity,X1)))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X2,identity)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_29]),c_0_10]),c_0_18]) ).
cnf(c_0_33,plain,
double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(identity,X1)) = identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_10]) ).
cnf(c_0_34,plain,
double_divide(X1,identity) = double_divide(identity,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_10]),c_0_19]),c_0_23]) ).
cnf(c_0_35,plain,
double_divide(identity,double_divide(identity,double_divide(X1,identity))) = double_divide(X1,identity),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_36,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_35]),c_0_35]) ).
cnf(c_0_37,plain,
double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))),double_divide(X4,X3)),identity)) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_11]),c_0_14]) ).
cnf(c_0_38,plain,
double_divide(identity,double_divide(identity,X1)) = X1,
inference(spm,[status(thm)],[c_0_36,c_0_34]) ).
cnf(c_0_39,plain,
double_divide(double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))),double_divide(X4,X3)) = X4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_19]),c_0_38]),c_0_38]) ).
cnf(c_0_40,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_10]),c_0_10]),c_0_36]),c_0_38]) ).
cnf(c_0_41,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_40,c_0_40]) ).
cnf(c_0_42,plain,
double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1)))) = double_divide(X2,identity),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_43,plain,
double_divide(X1,double_divide(X2,double_divide(identity,double_divide(double_divide(X2,identity),X1)))) = identity,
inference(spm,[status(thm)],[c_0_27,c_0_36]) ).
cnf(c_0_44,plain,
double_divide(double_divide(X1,identity),X2) = double_divide(identity,double_divide(X1,double_divide(identity,X2))),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
double_divide(X1,double_divide(X2,double_divide(X2,double_divide(identity,X1)))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_38]) ).
cnf(c_0_46,plain,
double_divide(X1,double_divide(X1,double_divide(identity,X2))) = double_divide(identity,X2),
inference(spm,[status(thm)],[c_0_41,c_0_45]) ).
cnf(c_0_47,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_46,c_0_40]) ).
cnf(c_0_48,plain,
double_divide(X1,double_divide(X2,identity)) = double_divide(identity,double_divide(X2,double_divide(identity,X1))),
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_49,plain,
double_divide(double_divide(identity,X1),X2) = double_divide(identity,double_divide(X1,double_divide(identity,X2))),
inference(spm,[status(thm)],[c_0_44,c_0_34]) ).
cnf(c_0_50,plain,
double_divide(double_divide(X1,double_divide(identity,X2)),double_divide(X2,double_divide(X1,identity))) = identity,
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_51,plain,
double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,double_divide(X3,double_divide(X2,X1))))))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_38]),c_0_49]) ).
cnf(c_0_52,plain,
double_divide(double_divide(X1,X2),double_divide(identity,double_divide(X2,X1))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_38]),c_0_40]) ).
cnf(c_0_53,plain,
double_divide(double_divide(X1,X2),double_divide(double_divide(X2,X1),X3)) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_36]),c_0_49]),c_0_47]),c_0_47]) ).
cnf(c_0_54,plain,
double_divide(X1,X2) = double_divide(X2,X1),
inference(spm,[status(thm)],[c_0_41,c_0_47]) ).
cnf(c_0_55,plain,
double_divide(double_divide(X1,X2),X3) = double_divide(X3,double_divide(X2,X1)),
inference(spm,[status(thm)],[c_0_53,c_0_40]) ).
cnf(c_0_56,plain,
double_divide(identity,double_divide(X1,double_divide(X2,identity))) = double_divide(X2,double_divide(identity,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_50]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
prove_these_axioms ).
cnf(c_0_58,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
multiply ).
cnf(c_0_59,plain,
double_divide(X1,double_divide(X2,double_divide(identity,double_divide(double_divide(X2,X3),X1)))) = double_divide(X3,identity),
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_51]),c_0_55]),c_0_49]),c_0_56]),c_0_55]),c_0_47]) ).
cnf(c_0_60,negated_conjecture,
( double_divide(double_divide(a2,identity),identity) != a2
| double_divide(double_divide(a1,double_divide(a1,identity)),identity) != identity
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity)
| double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) ),
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)],[inference(rw,[status(thm)],[c_0_57,c_0_6]),c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_58]) ).
cnf(c_0_61,plain,
double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X1,double_divide(X3,identity))) = double_divide(X2,identity),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_59]),c_0_40]) ).
cnf(c_0_62,negated_conjecture,
( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)
| double_divide(double_divide(a4,b4),identity) != double_divide(double_divide(b4,a4),identity)
| double_divide(double_divide(a2,identity),identity) != a2
| double_divide(identity,identity) != identity ),
inference(rw,[status(thm)],[c_0_60,c_0_8]) ).
cnf(c_0_63,plain,
double_divide(double_divide(X1,X2),double_divide(X3,double_divide(X2,identity))) = double_divide(identity,double_divide(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_40]),c_0_54]) ).
cnf(c_0_64,negated_conjecture,
( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)
| double_divide(double_divide(a4,b4),identity) != double_divide(double_divide(b4,a4),identity)
| double_divide(double_divide(a2,identity),identity) != a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_10])]) ).
cnf(c_0_65,plain,
double_divide(double_divide(X1,X2),double_divide(X3,double_divide(identity,X2))) = double_divide(identity,double_divide(X1,X3)),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_66,plain,
double_divide(double_divide(X1,X2),double_divide(X3,double_divide(X1,identity))) = double_divide(identity,double_divide(X2,X3)),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)
| double_divide(double_divide(a4,b4),identity) != double_divide(double_divide(b4,a4),identity)
| double_divide(identity,double_divide(identity,double_divide(identity,double_divide(a2,identity)))) != a2 ),
inference(rw,[status(thm)],[c_0_64,c_0_18]) ).
cnf(c_0_68,plain,
double_divide(double_divide(X1,double_divide(X2,identity)),X3) = double_divide(identity,double_divide(X1,double_divide(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_36]) ).
cnf(c_0_69,negated_conjecture,
( double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(c3,b3)))),a3)))) != double_divide(identity,double_divide(identity,double_divide(identity,double_divide(c3,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(b3,a3))))))))
| double_divide(identity,double_divide(identity,double_divide(identity,double_divide(a4,b4)))) != double_divide(identity,double_divide(identity,double_divide(identity,double_divide(b4,a4))))
| double_divide(identity,double_divide(identity,double_divide(identity,double_divide(a2,identity)))) != a2 ),
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_67,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_70,plain,
double_divide(double_divide(X1,X2),X3) = double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_49]),c_0_10]),c_0_36]),c_0_49]) ).
cnf(c_0_71,negated_conjecture,
( double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(c3,b3)))),a3)))) != double_divide(identity,double_divide(identity,double_divide(identity,double_divide(c3,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(b3,a3))))))))
| double_divide(identity,double_divide(identity,double_divide(identity,double_divide(a4,b4)))) != double_divide(identity,double_divide(identity,double_divide(identity,double_divide(b4,a4))))
| double_divide(identity,double_divide(a2,identity)) != a2 ),
inference(rw,[status(thm)],[c_0_69,c_0_35]) ).
cnf(c_0_72,plain,
double_divide(identity,double_divide(X1,double_divide(X2,double_divide(identity,double_divide(X1,X3))))) = double_divide(X2,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_40]),c_0_70]),c_0_38]),c_0_47]) ).
cnf(c_0_73,plain,
double_divide(double_divide(X1,double_divide(X2,identity)),X3) = double_divide(identity,double_divide(double_divide(X2,double_divide(identity,X1)),double_divide(identity,X3))),
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
cnf(c_0_74,negated_conjecture,
( double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(c3,b3)))),a3)))) != double_divide(identity,double_divide(identity,double_divide(identity,double_divide(c3,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(b3,a3))))))))
| double_divide(identity,double_divide(identity,double_divide(identity,double_divide(a4,b4)))) != double_divide(identity,double_divide(identity,double_divide(identity,double_divide(b4,a4)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_36])]) ).
cnf(c_0_75,plain,
double_divide(identity,double_divide(X1,double_divide(X2,double_divide(identity,double_divide(X3,X1))))) = double_divide(X2,X3),
inference(spm,[status(thm)],[c_0_72,c_0_54]) ).
cnf(c_0_76,plain,
double_divide(X1,double_divide(X2,double_divide(identity,X3))) = double_divide(identity,double_divide(X2,double_divide(X1,X3))),
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_73,c_0_68]),c_0_70]),c_0_38]),c_0_49]),c_0_47]),c_0_47]) ).
cnf(c_0_77,negated_conjecture,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| double_divide(identity,double_divide(a4,b4)) != double_divide(identity,double_divide(b4,a4)) ),
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_74,c_0_38]),c_0_38]),c_0_38]),c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_78,plain,
double_divide(X1,double_divide(X2,double_divide(X3,double_divide(X1,double_divide(X4,X2))))) = double_divide(X3,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_47]),c_0_70]),c_0_70]),c_0_47]),c_0_47]),c_0_47]),c_0_47]) ).
cnf(c_0_79,negated_conjecture,
( double_divide(double_divide(c3,b3),double_divide(a3,identity)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| double_divide(identity,double_divide(a4,b4)) != double_divide(identity,double_divide(b4,a4)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_49]),c_0_34]),c_0_38]) ).
cnf(c_0_80,plain,
double_divide(X1,double_divide(X2,double_divide(X3,double_divide(X1,double_divide(X2,X4))))) = double_divide(X3,X4),
inference(spm,[status(thm)],[c_0_78,c_0_54]) ).
cnf(c_0_81,negated_conjecture,
double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(a3,b3)))),
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_54]),c_0_54]),c_0_44]),c_0_54]),c_0_54])]) ).
cnf(c_0_82,plain,
double_divide(X1,double_divide(X2,X3)) = double_divide(X4,double_divide(X2,double_divide(X1,double_divide(X4,X3)))),
inference(spm,[status(thm)],[c_0_47,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
double_divide(X1,double_divide(a3,double_divide(identity,double_divide(X1,double_divide(identity,double_divide(b3,c3)))))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(a3,b3)))),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_84,negated_conjecture,
double_divide(X1,double_divide(a3,double_divide(identity,double_divide(b3,double_divide(identity,double_divide(c3,X1)))))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(a3,b3)))),
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_83,c_0_54]),c_0_70]),c_0_70]),c_0_47]),c_0_47]),c_0_47]) ).
cnf(c_0_85,negated_conjecture,
double_divide(X1,double_divide(c3,double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,X1)))))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(a3,b3)))),
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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_42]),c_0_40]),c_0_70]),c_0_70]),c_0_47]),c_0_70]),c_0_47]),c_0_47]),c_0_47]),c_0_47]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_85,c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP103-1 : TPTP v9.2.1. Bugfixed v2.7.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:19:53 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.99/1.95 % Version : CSE_E---1.7
% 1.99/1.95 % Problem : theBenchmark.p
% 1.99/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.95 % SZS output start CNFRefutation
% See solution above
% 1.99/1.96 % Total time : 1.371s
%------------------------------------------------------------------------------