%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO441+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 : 600s
% DateTime : Sat Jul 16 03:45:45 EDT 2022
% Result : Theorem 12.40s 6.21s
% Output : CNFRefutation 12.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 12 unt; 10 nHn; 12 RR)
% Number of literals : 51 ( 50 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 38 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5315,negated_conjecture,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,esk1972_0)
| s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) != s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_5315) ).
cnf(i_0_3525,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_3525) ).
cnf(i_0_5311,plain,
( s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X2))),s(cart(real,X1),X3))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,X2) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_5311) ).
cnf(i_0_5313,negated_conjecture,
( s(cart(real,esk1971_0),esk1973_0) = s(cart(real,esk1971_0),esk1974_0)
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,esk1972_0)
| s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) = s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_5313) ).
cnf(i_0_5308,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X2))),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X3))),s(cart(real,X1),X4))))) = s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,X3))))),s(cart(real,X1),X4))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_5308) ).
cnf(i_0_4046,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,X1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_4046) ).
cnf(i_0_3744,plain,
( s(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X2))),s(real,X1))))) = s(real,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_3744) ).
cnf(i_0_5316,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,X1),X2))) = s(cart(real,X1),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_5316) ).
cnf(i_0_5314,negated_conjecture,
( s(cart(real,esk1971_0),esk1973_0) != s(cart(real,esk1971_0),esk1974_0)
| s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) != s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dky4cp4n/lgb.p',i_0_5314) ).
cnf(c_0_5326,negated_conjecture,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,esk1972_0)
| s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) != s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0))) ),
i_0_5315 ).
cnf(c_0_5327,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
i_0_3525 ).
cnf(c_0_5328,plain,
( s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X2))),s(cart(real,X1),X3))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,X2) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
i_0_5311 ).
cnf(c_0_5329,negated_conjecture,
( s(cart(real,esk1971_0),esk1973_0) = s(cart(real,esk1971_0),esk1974_0)
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,esk1972_0)
| s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) = s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0))) ),
i_0_5313 ).
cnf(c_0_5330,negated_conjecture,
( s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) != s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0)))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) != s(real,esk1972_0) ),
inference(rw,[status(thm)],[c_0_5326,c_0_5327]) ).
cnf(c_0_5331,plain,
( s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X2))),s(cart(real,X1),X3))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0)))
| s(real,X2) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5328,c_0_5327]),c_0_5327]) ).
cnf(c_0_5332,negated_conjecture,
( s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) = s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0)))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) = s(real,esk1972_0)
| s(cart(real,esk1971_0),esk1973_0) = s(cart(real,esk1971_0),esk1974_0) ),
inference(rw,[status(thm)],[c_0_5329,c_0_5327]) ).
cnf(c_0_5333,negated_conjecture,
s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) != s(real,esk1972_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5330,c_0_5331]),c_0_5331]) ).
cnf(c_0_5334,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X2))),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X3))),s(cart(real,X1),X4))))) = s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,X3))))),s(cart(real,X1),X4))),
i_0_5308 ).
cnf(c_0_5335,negated_conjecture,
( s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) = s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0)))
| s(cart(real,esk1971_0),esk1973_0) = s(cart(real,esk1971_0),esk1974_0) ),
inference(sr,[status(thm)],[c_0_5332,c_0_5333]) ).
cnf(c_0_5336,plain,
( s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,esk1972_0))))),s(cart(real,esk1971_0),esk1973_0))) = s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,esk1972_0))))),s(cart(real,esk1971_0),esk1974_0)))
| s(cart(real,esk1971_0),esk1973_0) = s(cart(real,esk1971_0),esk1974_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5334,c_0_5335]),c_0_5334]) ).
cnf(c_0_5337,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X2))),s(real,X1))),
i_0_4046 ).
cnf(c_0_5338,plain,
( s(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X2))),s(real,X1))))) = s(real,X2) ),
i_0_3744 ).
cnf(c_0_5339,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,X1),X2))) = s(cart(real,X1),X2),
i_0_5316 ).
cnf(c_0_5340,plain,
( s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,esk1972_0))),s(real,X1))))),s(cart(real,esk1971_0),esk1973_0))) = s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,esk1972_0))),s(real,X1))))),s(cart(real,esk1971_0),esk1974_0)))
| s(cart(real,esk1971_0),esk1973_0) = s(cart(real,esk1971_0),esk1974_0) ),
inference(spm,[status(thm)],[c_0_5336,c_0_5337]) ).
cnf(c_0_5341,plain,
( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,X2))),s(real,X1))))) = s(real,X2)
| s(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) ),
inference(rw,[status(thm)],[c_0_5338,c_0_5327]) ).
cnf(c_0_5342,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(cart(real,X1),X2))) = s(cart(real,X1),X2),
inference(rw,[status(thm)],[c_0_5339,c_0_5327]) ).
cnf(c_0_5343,plain,
( s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,X1))),s(cart(real,esk1971_0),esk1973_0))) = s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,X1))),s(cart(real,esk1971_0),esk1974_0)))
| s(cart(real,esk1971_0),esk1973_0) = s(cart(real,esk1971_0),esk1974_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5340,c_0_5341]),c_0_5333]) ).
cnf(c_0_5344,negated_conjecture,
( s(cart(real,esk1971_0),esk1973_0) != s(cart(real,esk1971_0),esk1974_0)
| s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1973_0))) != s(cart(real,esk1971_0),i(s(fun(cart(real,esk1971_0),cart(real,esk1971_0)),i(s(fun(real,fun(cart(real,esk1971_0),cart(real,esk1971_0))),r_),s(real,esk1972_0))),s(cart(real,esk1971_0),esk1974_0))) ),
i_0_5314 ).
cnf(c_0_5345,plain,
s(cart(real,esk1971_0),esk1973_0) = s(cart(real,esk1971_0),esk1974_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5342,c_0_5343]),c_0_5342])]) ).
cnf(c_0_5346,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5344,c_0_5345]),c_0_5345])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO441+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jun 17 23:23:59 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected SinE mode:
% 0.60/0.76 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.76 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.60/0.76 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.60/0.76 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.40/6.21 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.40/6.21 # No SInE strategy applied
% 12.40/6.21 # Trying AutoSched0 for 148 seconds
% 12.40/6.21 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.40/6.21 # and selection function SelectComplexExceptUniqMaxHorn.
% 12.40/6.21 #
% 12.40/6.21 # Preprocessing time : 0.026 s
% 12.40/6.21 # Presaturation interreduction done
% 12.40/6.21
% 12.40/6.21 # Proof found!
% 12.40/6.21 # SZS status Theorem
% 12.40/6.21 # SZS output start CNFRefutation
% See solution above
% 12.40/6.21 # Training examples: 0 positive, 0 negative
% 12.40/6.21
% 12.40/6.21 # -------------------------------------------------
% 12.40/6.21 # User time : 0.066 s
% 12.40/6.21 # System time : 0.006 s
% 12.40/6.21 # Total time : 0.072 s
% 12.40/6.21 # Maximum resident set size: 7132 pages
% 12.40/6.21
%------------------------------------------------------------------------------