%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM461+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 08:36:15 EDT 2022
% Result : Theorem 12.24s 3.77s
% Output : CNFRefutation 12.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 38 ( 13 unt; 3 nHn; 38 RR)
% Number of literals : 117 ( 31 equ; 78 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_5) ).
cnf(i_0_42,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_42) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_7) ).
cnf(i_0_37,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_37) ).
cnf(i_0_41,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_41) ).
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_8) ).
cnf(i_0_30,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_30) ).
cnf(i_0_31,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_31) ).
cnf(i_0_29,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_29) ).
cnf(i_0_38,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_38) ).
cnf(i_0_39,hypothesis,
sdtlseqdt0(xl,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_39) ).
cnf(i_0_40,hypothesis,
xn != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdw86oht/input.p',i_0_40) ).
cnf(c_0_56,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_57,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_58,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) ),
i_0_42 ).
cnf(c_0_59,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_60,hypothesis,
aNaturalNumber0(xn),
i_0_37 ).
cnf(c_0_61,hypothesis,
aNaturalNumber0(xm),
i_0_41 ).
cnf(c_0_62,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_8 ).
cnf(c_0_64,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
i_0_30 ).
cnf(c_0_65,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
i_0_31 ).
cnf(c_0_66,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
i_0_29 ).
cnf(c_0_67,plain,
( sdtpldt0(xl,xm) = sdtpldt0(xm,xn)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61])]) ).
cnf(c_0_68,hypothesis,
aNaturalNumber0(xl),
i_0_38 ).
cnf(c_0_69,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_57]) ).
cnf(c_0_70,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_71,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[c_0_66,c_0_56]) ).
cnf(c_0_73,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_59]),c_0_68]),c_0_61])]) ).
cnf(c_0_74,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_75,hypothesis,
sdtlseqdt0(xl,xn),
i_0_39 ).
cnf(c_0_76,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_57]) ).
cnf(c_0_77,plain,
sdtpldt0(xm,xn) = sdtpldt0(xm,xl),
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_73,c_0_74]),c_0_75]),c_0_68]),c_0_61]),c_0_60])]) ).
cnf(c_0_78,plain,
sdtmndt0(sdtpldt0(xm,xl),xm) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_61]),c_0_60])]) ).
cnf(c_0_79,hypothesis,
xn != xl,
i_0_40 ).
cnf(c_0_80,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_78]),c_0_61]),c_0_68])]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM461+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.37 % Computer : n029.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 600
% 0.13/0.37 % DateTime : Tue Jul 5 14:31:44 EDT 2022
% 0.13/0.37 % CPUTime :
% 0.21/0.48 # ENIGMATIC: Selected complete mode:
% 12.24/3.77 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 12.24/3.77 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 12.24/3.77 # Preprocessing time : 0.835 s
% 12.24/3.77
% 12.24/3.77 # Proof found!
% 12.24/3.77 # SZS status Theorem
% 12.24/3.77 # SZS output start CNFRefutation
% See solution above
% 12.24/3.77 # Training examples: 0 positive, 0 negative
% 12.24/3.77
% 12.24/3.77 # -------------------------------------------------
% 12.24/3.77 # User time : 0.782 s
% 12.24/3.77 # System time : 0.115 s
% 12.24/3.77 # Total time : 0.897 s
% 12.24/3.77 # ...preprocessing : 0.835 s
% 12.24/3.77 # ...main loop : 0.063 s
% 12.24/3.77 # Maximum resident set size: 169012 pages
% 12.24/3.77
%------------------------------------------------------------------------------