TSTP Solution File: NUM856+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM856+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 08:40:39 EDT 2022
% Result : Theorem 10.46s 2.72s
% Output : CNFRefutation 10.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 59 ( 26 unt; 14 nHn; 43 RR)
% Number of literals : 99 ( 40 equ; 43 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_1) ).
cnf(i_0_6,plain,
( greater(vmul(X1,X2),vmul(X3,X4))
| ~ greater(X1,X3)
| ~ greater(X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_6) ).
cnf(i_0_45,plain,
( X1 = X2
| greater(X1,X2)
| ~ geq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_45) ).
cnf(i_0_5,plain,
( greater(vd519,vd520)
| geq(vd519,vd520) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_5) ).
cnf(i_0_2,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_2) ).
cnf(i_0_57,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_57) ).
cnf(i_0_14,plain,
vplus(vmul(X1,X2),vmul(X1,X3)) = vmul(X1,vplus(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_14) ).
cnf(i_0_15,plain,
vmul(X1,X2) = vmul(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_15) ).
cnf(i_0_12,plain,
( greater(vmul(X1,X2),vmul(X3,X2))
| ~ greater(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_12) ).
cnf(i_0_51,plain,
( X1 != X2
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_51) ).
cnf(i_0_50,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_50) ).
cnf(i_0_47,plain,
( less(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_47) ).
cnf(i_0_55,plain,
( vplus(X1,esk2_2(X1,X2)) = X2
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_55) ).
cnf(i_0_4,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_4) ).
cnf(i_0_33,plain,
greater(vplus(X1,X2),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_33) ).
cnf(i_0_56,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-i1m8mu31/lgb.p',i_0_56) ).
cnf(i_0_17,plain,
vmul(v1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_17) ).
cnf(i_0_18,plain,
vmul(X1,v1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i1m8mu31/lgb.p',i_0_18) ).
cnf(c_0_76,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
i_0_1 ).
cnf(c_0_77,plain,
( greater(vmul(X1,X2),vmul(X3,X4))
| ~ greater(X1,X3)
| ~ greater(X2,X4) ),
i_0_6 ).
cnf(c_0_78,plain,
( X1 = X2
| greater(X1,X2)
| ~ geq(X1,X2) ),
i_0_45 ).
cnf(c_0_79,plain,
( greater(vd519,vd520)
| geq(vd519,vd520) ),
i_0_5 ).
cnf(c_0_80,negated_conjecture,
( ~ greater(vd519,vd520)
| ~ greater(vd517,vd518) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,plain,
( vd520 = vd519
| greater(vd519,vd520) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
i_0_2 ).
cnf(c_0_83,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
i_0_57 ).
cnf(c_0_84,plain,
( vd520 = vd519
| ~ greater(vd517,vd518) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,plain,
( vd518 = vd517
| greater(vd517,vd518) ),
inference(spm,[status(thm)],[c_0_78,c_0_82]) ).
cnf(c_0_86,plain,
vplus(X1,X2) != X1,
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_87,plain,
vplus(vmul(X1,X2),vmul(X1,X3)) = vmul(X1,vplus(X2,X3)),
i_0_14 ).
cnf(c_0_88,plain,
( vd518 = vd517
| vd520 = vd519 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,plain,
vmul(X1,vplus(X2,X3)) != vmul(X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
vmul(X1,X2) = vmul(X2,X1),
i_0_15 ).
cnf(c_0_91,negated_conjecture,
( vd518 = vd517
| ~ greater(vmul(vd517,vd519),vmul(vd518,vd519)) ),
inference(spm,[status(thm)],[c_0_76,c_0_88]) ).
cnf(c_0_92,plain,
( greater(vmul(X1,X2),vmul(X3,X2))
| ~ greater(X1,X3) ),
i_0_12 ).
cnf(c_0_93,plain,
( X1 != X2
| ~ greater(X1,X2) ),
i_0_51 ).
cnf(c_0_94,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
i_0_50 ).
cnf(c_0_95,plain,
( less(X1,X2)
| ~ greater(X2,X1) ),
i_0_47 ).
cnf(c_0_96,plain,
vmul(vplus(X1,X2),X3) != vmul(X3,X1),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,plain,
( vplus(X1,esk2_2(X1,X2)) = X2
| ~ greater(X2,X1) ),
i_0_55 ).
cnf(c_0_98,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
i_0_4 ).
cnf(c_0_99,plain,
vd518 = vd517,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_85]) ).
cnf(c_0_100,plain,
~ greater(X1,X1),
inference(er,[status(thm)],[c_0_93]) ).
cnf(c_0_101,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_102,plain,
greater(vplus(X1,X2),X1),
i_0_33 ).
cnf(c_0_103,plain,
( vmul(X1,X2) != vmul(X2,X3)
| ~ greater(X1,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,plain,
greater(vd519,vd520),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_105,plain,
~ greater(X1,vplus(X1,X2)),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
( X1 = X2
| vplus(X1,esk4_2(X1,X2)) = X2
| vplus(X2,esk3_2(X1,X2)) = X1 ),
i_0_56 ).
cnf(c_0_107,plain,
vmul(vd519,X1) != vmul(X1,vd520),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,plain,
vmul(v1,X1) = X1,
i_0_17 ).
cnf(c_0_109,plain,
vmul(X1,v1) = X1,
i_0_18 ).
cnf(c_0_110,plain,
( vplus(X1,esk3_2(X2,X1)) = X2
| X2 = X1
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
vd520 != vd519,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_112,plain,
greater(vmul(X1,vplus(X2,X3)),vmul(X1,X2)),
inference(spm,[status(thm)],[c_0_102,c_0_87]) ).
cnf(c_0_113,plain,
vplus(vd520,esk3_2(vd519,vd520)) = vd519,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_104]),c_0_111]) ).
cnf(c_0_114,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd517,vd520)),
inference(rw,[status(thm)],[c_0_76,c_0_99]) ).
cnf(c_0_115,plain,
greater(vmul(X1,vd519),vmul(X1,vd520)),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM856+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jul 7 12:42:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 10.46/2.72 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.46/2.72 # No SInE strategy applied
% 10.46/2.72 # Trying AutoSched0 for 150 seconds
% 10.46/2.72 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.46/2.72 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.46/2.72 #
% 10.46/2.72 # Preprocessing time : 0.024 s
% 10.46/2.72 # Presaturation interreduction done
% 10.46/2.72
% 10.46/2.72 # Proof found!
% 10.46/2.72 # SZS status Theorem
% 10.46/2.72 # SZS output start CNFRefutation
% See solution above
% 10.46/2.72 # Training examples: 0 positive, 0 negative
% 10.46/2.72
% 10.46/2.72 # -------------------------------------------------
% 10.46/2.72 # User time : 0.364 s
% 10.46/2.72 # System time : 0.018 s
% 10.46/2.72 # Total time : 0.382 s
% 10.46/2.72 # Maximum resident set size: 7128 pages
% 10.46/2.72
%------------------------------------------------------------------------------