TSTP Solution File: NUM542+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM542+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Mon Jul 18 08:37:09 EDT 2022
% Result : Theorem 15.21s 3.21s
% Output : CNFRefutation 15.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of clauses : 72 ( 10 unt; 14 nHn; 72 RR)
% Number of literals : 212 ( 33 equ; 138 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_60,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_60) ).
cnf(i_0_58,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_58) ).
cnf(i_0_48,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_48) ).
cnf(i_0_52,plain,
( szszuzczcdt0(X1) != X1
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_52) ).
cnf(i_0_88,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_88) ).
cnf(i_0_49,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_49) ).
cnf(i_0_97,hypothesis,
aElementOf0(xm,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_97) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_14) ).
cnf(i_0_98,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_98) ).
cnf(i_0_87,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_87) ).
cnf(i_0_51,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_51) ).
cnf(i_0_47,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_47) ).
cnf(i_0_96,hypothesis,
aElementOf0(xn,szNzAzT0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_96) ).
cnf(i_0_62,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_62) ).
cnf(i_0_89,plain,
( aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_89) ).
cnf(i_0_50,plain,
( X1 = sz00
| szszuzczcdt0(esk5_1(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_50) ).
cnf(i_0_90,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_90) ).
cnf(i_0_94,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_94) ).
cnf(i_0_61,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_61) ).
cnf(i_0_12,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_12) ).
cnf(i_0_99,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_99) ).
cnf(i_0_13,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yvxeyrqb/lgb.p',i_0_13) ).
cnf(c_0_122,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_60 ).
cnf(c_0_123,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_58 ).
cnf(c_0_124,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_48 ).
cnf(c_0_125,plain,
( szszuzczcdt0(X1) != X1
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_52 ).
cnf(c_0_126,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0) ),
i_0_88 ).
cnf(c_0_127,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_49 ).
cnf(c_0_128,hypothesis,
aElementOf0(xm,szNzAzT0),
i_0_97 ).
cnf(c_0_129,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_125]) ).
cnf(c_0_130,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_126]) ).
cnf(c_0_131,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_132,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
i_0_98 ).
cnf(c_0_133,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X3) ),
i_0_87 ).
cnf(c_0_134,hypothesis,
( X1 = xm
| szszuzczcdt0(X1) != szszuzczcdt0(xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_135,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_51 ).
cnf(c_0_136,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_47 ).
cnf(c_0_137,plain,
( ~ aElementOf0(X1,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_138,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| ~ aSet0(slbdtrb0(xn))
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_139,hypothesis,
aElementOf0(xn,szNzAzT0),
i_0_96 ).
cnf(c_0_140,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(er,[status(thm)],[c_0_133]) ).
cnf(c_0_141,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_62 ).
cnf(c_0_142,plain,
( aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0) ),
i_0_89 ).
cnf(c_0_143,plain,
( esk5_1(X1) = xm
| X1 = sz00
| szszuzczcdt0(esk5_1(X1)) != szszuzczcdt0(xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_144,plain,
( X1 = sz00
| szszuzczcdt0(esk5_1(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_50 ).
cnf(c_0_145,hypothesis,
szszuzczcdt0(xm) != sz00,
inference(spm,[status(thm)],[c_0_136,c_0_128]) ).
cnf(c_0_146,negated_conjecture,
( sdtlseqdt0(xm,xn)
| ~ aSet0(slbdtrb0(xn))
| ~ aElementOf0(xn,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).
cnf(c_0_147,plain,
( aElementOf0(X1,slbdtrb0(X2))
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_148,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
i_0_90 ).
cnf(c_0_149,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2)) ),
i_0_94 ).
cnf(c_0_150,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_142]) ).
cnf(c_0_151,plain,
( esk5_1(szszuzczcdt0(xm)) = xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144])]),c_0_145]) ).
cnf(c_0_152,negated_conjecture,
( sdtlseqdt0(xm,xn)
| ~ aSet0(slbdtrb0(xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_128]),c_0_139])]) ).
cnf(c_0_153,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_148]) ).
cnf(c_0_154,plain,
( X1 = sz00
| aElementOf0(X2,slbdtrb0(X1))
| ~ aElementOf0(X2,slbdtrb0(esk5_1(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_144]),c_0_150]),c_0_135]) ).
cnf(c_0_155,plain,
esk5_1(szszuzczcdt0(xm)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_124]),c_0_128])]) ).
cnf(c_0_156,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_61 ).
cnf(c_0_157,plain,
sdtlseqdt0(xm,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_139])]) ).
cnf(c_0_158,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(xm)))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_145]) ).
cnf(c_0_159,plain,
( sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_128]),c_0_139])]) ).
cnf(c_0_160,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_150,c_0_158]) ).
cnf(c_0_161,plain,
( aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_159]),c_0_139])]),c_0_124]) ).
cnf(c_0_162,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_124]),c_0_128])]) ).
cnf(c_0_163,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_164,plain,
( aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_130]),c_0_128])]),c_0_162]) ).
cnf(c_0_165,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
i_0_99 ).
cnf(c_0_166,plain,
( aSubsetOf0(X1,slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xn))
| ~ aSet0(X1)
| ~ aElementOf0(esk2_2(slbdtrb0(xn),X1),slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_167,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_168,negated_conjecture,
~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_157])]) ).
cnf(c_0_169,plain,
( ~ aSet0(slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xm)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).
cnf(c_0_170,plain,
~ aSet0(slbdtrb0(xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_153]),c_0_139])]) ).
cnf(c_0_171,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_153]),c_0_128])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM542+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 00:26:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 15.21/3.21 # ENIGMATIC: Solved by autoschedule-lgb:
% 15.21/3.21 # No SInE strategy applied
% 15.21/3.21 # Trying AutoSched0 for 150 seconds
% 15.21/3.21 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 15.21/3.21 # and selection function SelectMaxLComplexAvoidPosPred.
% 15.21/3.21 #
% 15.21/3.21 # Preprocessing time : 0.025 s
% 15.21/3.21
% 15.21/3.21 # Proof found!
% 15.21/3.21 # SZS status Theorem
% 15.21/3.21 # SZS output start CNFRefutation
% See solution above
% 15.21/3.21 # Training examples: 0 positive, 0 negative
% 15.21/3.21
% 15.21/3.21 # -------------------------------------------------
% 15.21/3.21 # User time : 0.933 s
% 15.21/3.21 # System time : 0.023 s
% 15.21/3.21 # Total time : 0.956 s
% 15.21/3.21 # Maximum resident set size: 7128 pages
% 15.21/3.21
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