TSTP Solution File: SET675+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET675+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Tue Jul 19 00:13:22 EDT 2022
% Result : Theorem 6.71s 2.29s
% Output : CNFRefutation 6.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 48 ( 9 unt; 0 nHn; 44 RR)
% Number of literals : 125 ( 38 equ; 85 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 90 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_51,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_51) ).
cnf(i_0_57,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_57) ).
cnf(i_0_49,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_49) ).
cnf(i_0_59,negated_conjecture,
ilf_type(esk13_0,relation_type(esk12_0,esk11_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_59) ).
cnf(i_0_58,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range(esk12_0,esk11_0,esk13_0)
| inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain(esk12_0,esk11_0,esk13_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_58) ).
cnf(i_0_4,plain,
( image4(X1,X2,X3,X1) = range(X1,X2,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_4) ).
cnf(i_0_3,plain,
( inverse4(X1,X2,X3,X2) = domain(X1,X2,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_3) ).
cnf(i_0_55,plain,
( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_55) ).
cnf(i_0_53,plain,
( image4(X1,X2,X3,X4) = image(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_53) ).
cnf(i_0_43,plain,
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_43) ).
cnf(i_0_5,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_5) ).
cnf(i_0_2,plain,
( inverse2(X1,range_of(X1)) = domain_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_2) ).
cnf(i_0_1,plain,
( image(X1,domain_of(X1)) = range_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_1) ).
cnf(i_0_16,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dvncepsr/input.p',i_0_16) ).
cnf(c_0_74,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_51 ).
cnf(c_0_75,plain,
ilf_type(X1,set_type),
i_0_57 ).
cnf(c_0_76,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_49 ).
cnf(c_0_77,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_75])]) ).
cnf(c_0_78,negated_conjecture,
ilf_type(esk13_0,relation_type(esk12_0,esk11_0)),
i_0_59 ).
cnf(c_0_79,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_75]),c_0_75])]) ).
cnf(c_0_80,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range(esk12_0,esk11_0,esk13_0)
| inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain(esk12_0,esk11_0,esk13_0) ),
i_0_58 ).
cnf(c_0_81,negated_conjecture,
range(esk12_0,esk11_0,esk13_0) = range_of(esk13_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
domain(esk12_0,esk11_0,esk13_0) = domain_of(esk13_0),
inference(spm,[status(thm)],[c_0_79,c_0_78]) ).
cnf(c_0_83,plain,
( image4(X1,X2,X3,X1) = range(X1,X2,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_4 ).
cnf(c_0_84,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range_of(esk13_0)
| inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain_of(esk13_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_85,plain,
( image4(X1,X2,X3,X1) = range(X1,X2,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_75]),c_0_75])]) ).
cnf(c_0_86,plain,
( inverse4(X1,X2,X3,X2) = domain(X1,X2,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_3 ).
cnf(c_0_87,plain,
( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range_of(esk13_0)
| inverse4(esk12_0,esk11_0,esk13_0,range_of(esk13_0)) != domain_of(esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_81]),c_0_78])]) ).
cnf(c_0_88,plain,
( inverse4(X1,X2,X3,X2) = domain(X1,X2,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_75]),c_0_75])]) ).
cnf(c_0_89,plain,
( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_55 ).
cnf(c_0_90,plain,
( image4(esk12_0,esk11_0,esk13_0,domain_of(esk13_0)) != range_of(esk13_0)
| inverse4(esk12_0,esk11_0,esk13_0,range_of(esk13_0)) != domain_of(esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_82]),c_0_78])]) ).
cnf(c_0_91,plain,
( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_75]),c_0_75]),c_0_75])]) ).
cnf(c_0_92,plain,
( image4(X1,X2,X3,X4) = image(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_53 ).
cnf(c_0_93,plain,
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
i_0_43 ).
cnf(c_0_94,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
i_0_5 ).
cnf(c_0_95,plain,
( image4(esk12_0,esk11_0,esk13_0,domain_of(esk13_0)) != range_of(esk13_0)
| inverse2(esk13_0,range_of(esk13_0)) != domain_of(esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_78])]) ).
cnf(c_0_96,plain,
( image4(X1,X2,X3,X4) = image(X3,X4)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_75]),c_0_75]),c_0_75])]) ).
cnf(c_0_97,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_75]),c_0_75])]) ).
cnf(c_0_98,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_75]),c_0_75])]) ).
cnf(c_0_99,plain,
( image(esk13_0,domain_of(esk13_0)) != range_of(esk13_0)
| inverse2(esk13_0,range_of(esk13_0)) != domain_of(esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_78])]) ).
cnf(c_0_100,plain,
( inverse2(X1,range_of(X1)) = domain_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
i_0_2 ).
cnf(c_0_101,plain,
( image(X1,domain_of(X1)) = range_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
i_0_1 ).
cnf(c_0_102,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_16 ).
cnf(c_0_103,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,plain,
~ ilf_type(esk13_0,binary_relation_type),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_105,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_75])]) ).
cnf(c_0_106,negated_conjecture,
relation_like(esk13_0),
inference(spm,[status(thm)],[c_0_103,c_0_78]) ).
cnf(c_0_107,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET675+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 07:25:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected complete mode:
% 6.71/2.29 # ENIGMATIC: Solved by autoschedule:
% 6.71/2.29 # No SInE strategy applied
% 6.71/2.29 # Trying AutoSched0 for 150 seconds
% 6.71/2.29 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 6.71/2.29 # and selection function SelectMaxLComplexAvoidPosPred.
% 6.71/2.29 #
% 6.71/2.29 # Preprocessing time : 0.025 s
% 6.71/2.29
% 6.71/2.29 # Proof found!
% 6.71/2.29 # SZS status Theorem
% 6.71/2.29 # SZS output start CNFRefutation
% See solution above
% 6.71/2.29 # Training examples: 0 positive, 0 negative
% 6.71/2.29
% 6.71/2.29 # -------------------------------------------------
% 6.71/2.29 # User time : 0.033 s
% 6.71/2.29 # System time : 0.004 s
% 6.71/2.29 # Total time : 0.037 s
% 6.71/2.29 # Maximum resident set size: 7116 pages
% 6.71/2.29
%------------------------------------------------------------------------------