TSTP Solution File: NUM534+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM534+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 08:37:04 EDT 2022
% Result : Theorem 13.55s 3.00s
% Output : CNFRefutation 13.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 10 unt; 12 nHn; 37 RR)
% Number of literals : 144 ( 36 equ; 87 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 67 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_37) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_3) ).
cnf(i_0_39,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_39) ).
cnf(i_0_38,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_38) ).
cnf(i_0_20,plain,
( X1 = sdtpldt0(X2,X3)
| esk3_3(X2,X3,X1) = X3
| aElementOf0(esk3_3(X2,X3,X1),X1)
| aElementOf0(esk3_3(X2,X3,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_20) ).
cnf(i_0_33,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_33) ).
cnf(i_0_35,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_35) ).
cnf(i_0_40,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_40) ).
cnf(i_0_23,plain,
( X1 = sdtpldt0(X2,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElement0(esk3_3(X2,X3,X1))
| ~ aElementOf0(esk3_3(X2,X3,X1),X1)
| ~ aElementOf0(esk3_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_23) ).
cnf(i_0_22,plain,
( X1 = sdtpldt0(X2,X3)
| esk3_3(X2,X3,X1) != X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElement0(esk3_3(X2,X3,X1))
| ~ aElementOf0(esk3_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1kk8s_kc/input.p',i_0_22) ).
cnf(c_0_51,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_52,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_3 ).
cnf(c_0_53,hypothesis,
aElementOf0(xx,xS),
i_0_39 ).
cnf(c_0_54,hypothesis,
aSet0(xS),
i_0_38 ).
cnf(c_0_55,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_56,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_57,plain,
( X1 = sdtpldt0(X2,X3)
| esk3_3(X2,X3,X1) = X3
| aElementOf0(esk3_3(X2,X3,X1),X1)
| aElementOf0(esk3_3(X2,X3,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
i_0_20 ).
cnf(c_0_58,hypothesis,
( aSet0(sdtmndt0(X1,xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
( esk3_3(X1,xx,X2) = xx
| X2 = sdtpldt0(X1,xx)
| aElementOf0(esk3_3(X1,xx,X2),X1)
| aElementOf0(esk3_3(X1,xx,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_60,hypothesis,
aSet0(sdtmndt0(xS,xx)),
inference(spm,[status(thm)],[c_0_58,c_0_54]) ).
cnf(c_0_61,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X4) ),
i_0_33 ).
cnf(c_0_62,plain,
( aElementOf0(X1,X2)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4)
| ~ aElementOf0(X1,X3) ),
i_0_35 ).
cnf(c_0_63,hypothesis,
( esk3_3(sdtmndt0(xS,xx),xx,X1) = xx
| X1 = sdtpldt0(sdtmndt0(xS,xx),xx)
| aElementOf0(esk3_3(sdtmndt0(xS,xx),xx,X1),sdtmndt0(xS,xx))
| aElementOf0(esk3_3(sdtmndt0(xS,xx),xx,X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
i_0_40 ).
cnf(c_0_65,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X4)
| ~ aSet0(X4) ),
inference(csr,[status(thm)],[c_0_61,c_0_52]) ).
cnf(c_0_66,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_67,hypothesis,
( esk3_3(sdtmndt0(xS,xx),xx,xS) = xx
| aElementOf0(esk3_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))
| aElementOf0(esk3_3(sdtmndt0(xS,xx),xx,xS),xS) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_54]),c_0_64]) ).
cnf(c_0_68,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElement0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_69,plain,
( esk3_3(sdtmndt0(xS,xx),xx,xS) = xx
| aElementOf0(esk3_3(sdtmndt0(xS,xx),xx,xS),xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_56]),c_0_54])]) ).
cnf(c_0_70,plain,
( X1 = sdtpldt0(X2,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElement0(esk3_3(X2,X3,X1))
| ~ aElementOf0(esk3_3(X2,X3,X1),X1)
| ~ aElementOf0(esk3_3(X2,X3,X1),X2) ),
i_0_23 ).
cnf(c_0_71,plain,
( esk3_3(sdtmndt0(xS,xx),xx,xS) = xx
| esk3_3(sdtmndt0(xS,xx),xx,xS) = X1
| aElementOf0(esk3_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_54])]) ).
cnf(c_0_72,plain,
( X1 = sdtpldt0(X2,X3)
| esk3_3(X2,X3,X1) != X3
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElement0(esk3_3(X2,X3,X1))
| ~ aElementOf0(esk3_3(X2,X3,X1),X1) ),
i_0_22 ).
cnf(c_0_73,plain,
( X1 = sdtpldt0(X2,X3)
| ~ aElement0(X3)
| ~ aElementOf0(esk3_3(X2,X3,X1),X2)
| ~ aElementOf0(esk3_3(X2,X3,X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[c_0_70,c_0_52]) ).
cnf(c_0_74,hypothesis,
( esk3_3(sdtmndt0(xS,xx),xx,xS) = xx
| aElementOf0(esk3_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_71,c_0_56]) ).
cnf(c_0_75,plain,
( X1 = sdtpldt0(X2,X3)
| esk3_3(X2,X3,X1) != X3
| ~ aElement0(X3)
| ~ aElementOf0(esk3_3(X2,X3,X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[c_0_72,c_0_52]) ).
cnf(c_0_76,plain,
esk3_3(sdtmndt0(xS,xx),xx,xS) = xx,
inference(csr,[status(thm)],[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_73,c_0_74]),c_0_56]),c_0_60]),c_0_54])]),c_0_64]),c_0_69]) ).
cnf(c_0_77,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[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_56]),c_0_53]),c_0_60]),c_0_54])]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM534+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n017.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 : Thu Jul 7 12:22:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 13.55/3.00 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.55/3.00 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.55/3.00 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 24; version: 991; iters: 150)
% 13.55/3.00 # Preprocessing time : 0.711 s
% 13.55/3.00
% 13.55/3.00 # Proof found!
% 13.55/3.00 # SZS status Theorem
% 13.55/3.00 # SZS output start CNFRefutation
% See solution above
% 13.55/3.00 # Training examples: 0 positive, 0 negative
% 13.55/3.00
% 13.55/3.00 # -------------------------------------------------
% 13.55/3.00 # User time : 0.683 s
% 13.55/3.00 # System time : 0.116 s
% 13.55/3.00 # Total time : 0.798 s
% 13.55/3.00 # ...preprocessing : 0.711 s
% 13.55/3.00 # ...main loop : 0.088 s
% 13.55/3.00 # Maximum resident set size: 151052 pages
% 13.55/3.00
%------------------------------------------------------------------------------