TSTP Solution File: NUM525+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM525+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:36:58 EDT 2022
% Result : Theorem 7.78s 2.30s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 22 unt; 0 nHn; 27 RR)
% Number of literals : 38 ( 18 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_99,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(xp,sdtasdt0(xm,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_99) ).
cnf(i_0_85,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_85) ).
cnf(i_0_94,hypothesis,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_94) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_11) ).
cnf(i_0_75,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_75) ).
cnf(i_0_95,hypothesis,
aNaturalNumber0(esk7_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_95) ).
cnf(i_0_12,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_12) ).
cnf(i_0_97,hypothesis,
sdtasdt0(xp,xq) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_97) ).
cnf(i_0_98,hypothesis,
aNaturalNumber0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_98) ).
cnf(i_0_77,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ldpo8m5d/lgb.p',i_0_77) ).
cnf(c_0_110,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(xp,sdtasdt0(xm,xm)),
i_0_99 ).
cnf(c_0_111,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
i_0_85 ).
cnf(c_0_112,hypothesis,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
i_0_94 ).
cnf(c_0_113,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_114,hypothesis,
aNaturalNumber0(xp),
i_0_75 ).
cnf(c_0_115,hypothesis,
aNaturalNumber0(esk7_0),
i_0_95 ).
cnf(c_0_116,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(xn,xn),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,hypothesis,
sdtasdt0(xn,xn) = sdtasdt0(esk7_0,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115])]) ).
cnf(c_0_118,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_119,hypothesis,
sdtasdt0(xp,xq) = xn,
i_0_97 ).
cnf(c_0_120,hypothesis,
aNaturalNumber0(xq),
i_0_98 ).
cnf(c_0_121,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(esk7_0,xp),
inference(rw,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_122,hypothesis,
( sdtasdt0(xp,sdtasdt0(xq,X1)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_114])]) ).
cnf(c_0_123,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xn,xq)) != sdtasdt0(esk7_0,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_120])]) ).
cnf(c_0_124,hypothesis,
aNaturalNumber0(xn),
i_0_77 ).
cnf(c_0_125,plain,
sdtasdt0(xp,sdtasdt0(xq,xn)) != sdtasdt0(esk7_0,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_113]),c_0_120]),c_0_124])]) ).
cnf(c_0_126,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_122]),c_0_117]),c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM525+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 15:50:01 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.78/2.30 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.78/2.30 # No SInE strategy applied
% 7.78/2.30 # Trying AutoSched0 for 150 seconds
% 7.78/2.30 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.78/2.30 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.78/2.30 #
% 7.78/2.30 # Preprocessing time : 0.013 s
% 7.78/2.30
% 7.78/2.30 # Proof found!
% 7.78/2.30 # SZS status Theorem
% 7.78/2.30 # SZS output start CNFRefutation
% See solution above
% 7.78/2.30 # Training examples: 0 positive, 0 negative
% 7.78/2.30
% 7.78/2.30 # -------------------------------------------------
% 7.78/2.30 # User time : 0.023 s
% 7.78/2.30 # System time : 0.006 s
% 7.78/2.30 # Total time : 0.029 s
% 7.78/2.30 # Maximum resident set size: 7128 pages
% 7.78/2.30
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