TSTP Solution File: NUM852+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:40:36 EDT 2022
% Result : Theorem 7.99s 2.38s
% Output : CNFRefutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 45 ( 28 unt; 2 nHn; 36 RR)
% Number of literals : 64 ( 47 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 68 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_57,plain,
vplus(X1,X2) != X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_57) ).
cnf(i_0_61,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_61) ).
cnf(i_0_8,plain,
( vplus(X1,vskolem9(X2,X1)) = X2
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_8) ).
cnf(i_0_2,plain,
greater(vd481,vd480),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_2) ).
cnf(i_0_58,plain,
vplus(X1,X2) = vplus(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_58) ).
cnf(i_0_56,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_56) ).
cnf(i_0_49,plain,
( vplus(X1,esk1_2(X2,X1)) = X2
| ~ less(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_49) ).
cnf(i_0_3,plain,
less(vd480,vd481),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_3) ).
cnf(i_0_53,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_53) ).
cnf(i_0_52,plain,
( X1 = X2
| vplus(X1,esk4_2(X1,X2)) = X2
| vplus(X2,esk3_2(X1,X2)) = X1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_52) ).
cnf(i_0_6,plain,
( vplus(vmul(X1,vd469),vmul(vskolem9(X2,X1),vd469)) = vmul(vplus(X1,vskolem9(X2,X1)),vd469)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_6) ).
cnf(i_0_11,plain,
vmul(X1,X2) = vmul(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_11) ).
cnf(i_0_50,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_50) ).
cnf(i_0_1,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v4yv3i6u/input.p',i_0_1) ).
cnf(c_0_76,plain,
vplus(X1,X2) != X2,
i_0_57 ).
cnf(c_0_77,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
i_0_61 ).
cnf(c_0_78,plain,
( vplus(X1,vskolem9(X2,X1)) = X2
| ~ greater(X2,X1) ),
i_0_8 ).
cnf(c_0_79,plain,
greater(vd481,vd480),
i_0_2 ).
cnf(c_0_80,plain,
vplus(X1,vplus(X2,X3)) != X3,
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,plain,
vplus(X1,X2) = vplus(X2,X1),
i_0_58 ).
cnf(c_0_82,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
i_0_56 ).
cnf(c_0_83,plain,
vplus(vd480,vskolem9(vd481,vd480)) = vd481,
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,plain,
( vplus(X1,esk1_2(X2,X1)) = X2
| ~ less(X1,X2) ),
i_0_49 ).
cnf(c_0_85,plain,
less(vd480,vd481),
i_0_3 ).
cnf(c_0_86,plain,
vplus(X1,vplus(X2,X3)) != X2,
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
i_0_53 ).
cnf(c_0_88,plain,
( vskolem9(vd481,vd480) = X1
| vplus(vd480,X1) != vd481 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
vplus(vd480,esk1_2(vd481,vd480)) = vd481,
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,plain,
vplus(X1,vd481) != vd480,
inference(spm,[status(thm)],[c_0_86,c_0_83]) ).
cnf(c_0_91,plain,
vplus(X1,X2) != X1,
inference(er,[status(thm)],[c_0_87]) ).
cnf(c_0_92,plain,
vskolem9(vd481,vd480) = esk1_2(vd481,vd480),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_93,plain,
vplus(vd481,X1) != vd480,
inference(spm,[status(thm)],[c_0_90,c_0_81]) ).
cnf(c_0_94,plain,
( X1 = X2
| vplus(X1,esk4_2(X1,X2)) = X2
| vplus(X2,esk3_2(X1,X2)) = X1 ),
i_0_52 ).
cnf(c_0_95,plain,
vd480 != vd481,
inference(spm,[status(thm)],[c_0_91,c_0_83]) ).
cnf(c_0_96,plain,
( vplus(vmul(X1,vd469),vmul(vskolem9(X2,X1),vd469)) = vmul(vplus(X1,vskolem9(X2,X1)),vd469)
| ~ greater(X2,X1) ),
i_0_6 ).
cnf(c_0_97,plain,
vmul(X1,X2) = vmul(X2,X1),
i_0_11 ).
cnf(c_0_98,plain,
( esk1_2(vd481,vd480) = X1
| vplus(vd480,X1) != vd481 ),
inference(rw,[status(thm)],[c_0_88,c_0_92]) ).
cnf(c_0_99,plain,
vplus(vd480,esk3_2(vd481,vd480)) = vd481,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94])]),c_0_95]) ).
cnf(c_0_100,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
i_0_50 ).
cnf(c_0_101,plain,
( vplus(vmul(X1,vd469),vmul(vd469,vskolem9(X2,X1))) = vmul(vd469,vplus(X1,vskolem9(X2,X1)))
| ~ greater(X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97]),c_0_97]) ).
cnf(c_0_102,plain,
esk1_2(vd481,vd480) = esk3_2(vd481,vd480),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
greater(vplus(X1,X2),X1),
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_104,plain,
vplus(vmul(vd480,vd469),vmul(vd469,esk3_2(vd481,vd480))) = vmul(vd481,vd469),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_79]),c_0_92]),c_0_92]),c_0_89]),c_0_97]),c_0_102]) ).
cnf(c_0_105,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
i_0_1 ).
cnf(c_0_106,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jul 7 22:05:26 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.99/2.38 # ENIGMATIC: Solved by autoschedule:
% 7.99/2.38 # No SInE strategy applied
% 7.99/2.38 # Trying AutoSched0 for 150 seconds
% 7.99/2.38 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
% 7.99/2.38 # and selection function SelectCQArEqLast.
% 7.99/2.38 #
% 7.99/2.38 # Preprocessing time : 0.023 s
% 7.99/2.38 # Presaturation interreduction done
% 7.99/2.38
% 7.99/2.38 # Proof found!
% 7.99/2.38 # SZS status Theorem
% 7.99/2.38 # SZS output start CNFRefutation
% See solution above
% 7.99/2.38 # Training examples: 0 positive, 0 negative
% 7.99/2.38
% 7.99/2.38 # -------------------------------------------------
% 7.99/2.38 # User time : 0.041 s
% 7.99/2.38 # System time : 0.009 s
% 7.99/2.38 # Total time : 0.050 s
% 7.99/2.38 # Maximum resident set size: 7124 pages
% 7.99/2.38
%------------------------------------------------------------------------------