%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM556+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:37:18 EDT 2022
% Result : Theorem 7.90s 2.42s
% Output : CNFRefutation 7.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of clauses : 77 ( 30 unt; 10 nHn; 77 RR)
% Number of literals : 207 ( 34 equ; 126 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_3) ).
cnf(i_0_117,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_117) ).
cnf(i_0_114,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_114) ).
cnf(i_0_28,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_28) ).
cnf(i_0_39,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_39) ).
cnf(i_0_126,hypothesis,
sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_126) ).
cnf(i_0_128,hypothesis,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_128) ).
cnf(i_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_37) ).
cnf(i_0_123,hypothesis,
aElement0(xy),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_123) ).
cnf(i_0_121,hypothesis,
aSet0(xQ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_121) ).
cnf(i_0_106,plain,
( aSubsetOf0(X1,X2)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X4,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_106) ).
cnf(i_0_26,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_26) ).
cnf(i_0_71,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_71) ).
cnf(i_0_127,hypothesis,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_127) ).
cnf(i_0_42,plain,
( isFinite0(sdtpldt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_42) ).
cnf(i_0_118,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_118) ).
cnf(i_0_111,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_111) ).
cnf(i_0_35,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_35) ).
cnf(i_0_129,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xS) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_129) ).
cnf(i_0_43,plain,
( isFinite0(sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_43) ).
cnf(i_0_120,hypothesis,
isFinite0(xQ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_120) ).
cnf(i_0_24,plain,
( aElementOf0(X1,X2)
| X1 != X3
| X2 != sdtpldt0(X4,X3)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_24) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_14) ).
cnf(i_0_12,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_12) ).
cnf(i_0_13,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9zb82wi/input.p',i_0_13) ).
cnf(c_0_155,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_156,hypothesis,
aElementOf0(xx,xS),
i_0_117 ).
cnf(c_0_157,hypothesis,
aSet0(xS),
i_0_114 ).
cnf(c_0_158,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_28 ).
cnf(c_0_159,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
i_0_39 ).
cnf(c_0_160,hypothesis,
sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
i_0_126 ).
cnf(c_0_161,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]) ).
cnf(c_0_162,hypothesis,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
i_0_128 ).
cnf(c_0_163,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_164,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_158]) ).
cnf(c_0_165,hypothesis,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161])]),c_0_162]) ).
cnf(c_0_166,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_163]) ).
cnf(c_0_167,hypothesis,
aElement0(xy),
i_0_123 ).
cnf(c_0_168,hypothesis,
aSet0(xQ),
i_0_121 ).
cnf(c_0_169,hypothesis,
( aSet0(xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_160]),c_0_161])]) ).
cnf(c_0_170,plain,
sdtmndt0(xP,xx) = sdtmndt0(xQ,xy),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_168])]) ).
cnf(c_0_171,plain,
aSet0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_166]),c_0_167]),c_0_168])]) ).
cnf(c_0_172,plain,
( aSubsetOf0(X1,X2)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X4,szNzAzT0) ),
i_0_106 ).
cnf(c_0_173,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X4 != sdtpldt0(X3,X2)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4) ),
i_0_26 ).
cnf(c_0_174,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
i_0_71 ).
cnf(c_0_175,hypothesis,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk,
i_0_127 ).
cnf(c_0_176,plain,
( isFinite0(sdtpldt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
i_0_42 ).
cnf(c_0_177,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_170]),c_0_161]),c_0_171])]) ).
cnf(c_0_178,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_172]) ).
cnf(c_0_179,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
i_0_118 ).
cnf(c_0_180,hypothesis,
aElementOf0(xk,szNzAzT0),
i_0_111 ).
cnf(c_0_181,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_182,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_173]) ).
cnf(c_0_183,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xS) ),
i_0_129 ).
cnf(c_0_184,plain,
( sbrdtbr0(xP) = xk
| ~ aElementOf0(xx,xP)
| ~ isFinite0(xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_170]),c_0_175]),c_0_171])]) ).
cnf(c_0_185,hypothesis,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_160]),c_0_161])]),c_0_177])]) ).
cnf(c_0_186,plain,
( isFinite0(sdtmndt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(X1) ),
i_0_43 ).
cnf(c_0_187,hypothesis,
isFinite0(xQ),
i_0_120 ).
cnf(c_0_188,plain,
( aElementOf0(X1,X2)
| X1 != X3
| X2 != sdtpldt0(X4,X3)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
i_0_24 ).
cnf(c_0_189,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_190,hypothesis,
aSubsetOf0(xQ,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_157])]) ).
cnf(c_0_191,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_181]) ).
cnf(c_0_192,hypothesis,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_160]),c_0_161]),c_0_177])]) ).
cnf(c_0_193,negated_conjecture,
( ~ aSubsetOf0(xP,xS)
| ~ aElementOf0(xx,xP)
| ~ isFinite0(xP) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_194,plain,
isFinite0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_167]),c_0_168])]) ).
cnf(c_0_195,plain,
( aElementOf0(X1,sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_188])]) ).
cnf(c_0_196,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_197,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_157])]) ).
cnf(c_0_198,plain,
( X1 = xx
| aElementOf0(X1,xQ)
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_167]),c_0_168])]) ).
cnf(c_0_199,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_200,negated_conjecture,
( ~ aSubsetOf0(xP,xS)
| ~ aElementOf0(xx,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194])]) ).
cnf(c_0_201,hypothesis,
aElementOf0(xx,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_160]),c_0_161]),c_0_177])]) ).
cnf(c_0_202,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(esk2_2(xS,X1),xQ)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_157])]) ).
cnf(c_0_203,plain,
( esk2_2(X1,xP) = xx
| aSubsetOf0(xP,X1)
| aElementOf0(esk2_2(X1,xP),xQ)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_171])]) ).
cnf(c_0_204,negated_conjecture,
~ aSubsetOf0(xP,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).
cnf(c_0_205,plain,
esk2_2(xS,xP) = xx,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_171]),c_0_157])]),c_0_204]) ).
cnf(c_0_206,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_205]),c_0_156]),c_0_157]),c_0_171])]),c_0_204]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUM556+1 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.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 : Wed Jul 6 03:57:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 7.90/2.42 # ENIGMATIC: Solved by autoschedule:
% 7.90/2.42 # No SInE strategy applied
% 7.90/2.42 # Trying AutoSched0 for 150 seconds
% 7.90/2.42 # AutoSched0-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_S0Y
% 7.90/2.42 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.90/2.42 #
% 7.90/2.42 # Preprocessing time : 0.016 s
% 7.90/2.42
% 7.90/2.42 # Proof found!
% 7.90/2.42 # SZS status Theorem
% 7.90/2.42 # SZS output start CNFRefutation
% See solution above
% 7.90/2.42 # Training examples: 0 positive, 0 negative
% 7.90/2.42
% 7.90/2.42 # -------------------------------------------------
% 7.90/2.42 # User time : 0.033 s
% 7.90/2.42 # System time : 0.011 s
% 7.90/2.42 # Total time : 0.044 s
% 7.90/2.42 # Maximum resident set size: 7116 pages
% 7.90/2.42
%------------------------------------------------------------------------------