TSTP Solution File: NUM853+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM853+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 08:40:37 EDT 2022
% Result : Theorem 7.25s 2.21s
% Output : CNFRefutation 7.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 26 unt; 7 nHn; 27 RR)
% Number of literals : 61 ( 46 equ; 21 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 : 64 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_32,plain,
vplus(X1,X2) != X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_32) ).
cnf(i_0_36,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_36) ).
cnf(i_0_2,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_2) ).
cnf(i_0_8,plain,
vmul(X1,X2) = vmul(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_8) ).
cnf(i_0_24,plain,
( vplus(X1,esk1_2(X2,X1)) = X2
| ~ less(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_24) ).
cnf(i_0_19,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_19) ).
cnf(i_0_33,plain,
vplus(X1,X2) = vplus(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_33) ).
cnf(i_0_26,plain,
( vplus(X1,esk2_2(X1,X2)) = X2
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_26) ).
cnf(i_0_1,negated_conjecture,
~ greater(vd486,vd488),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_1) ).
cnf(i_0_7,plain,
vplus(vmul(X1,X2),vmul(X1,X3)) = vmul(X1,vplus(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_7) ).
cnf(i_0_28,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj_8end3/input.p',i_0_28) ).
cnf(i_0_27,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-tj_8end3/input.p',i_0_27) ).
cnf(c_0_49,plain,
vplus(X1,X2) != X2,
i_0_32 ).
cnf(c_0_50,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
i_0_36 ).
cnf(c_0_51,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
i_0_2 ).
cnf(c_0_52,plain,
vmul(X1,X2) = vmul(X2,X1),
i_0_8 ).
cnf(c_0_53,plain,
( vplus(X1,esk1_2(X2,X1)) = X2
| ~ less(X1,X2) ),
i_0_24 ).
cnf(c_0_54,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
i_0_19 ).
cnf(c_0_55,plain,
vplus(X1,vplus(X2,X3)) != X3,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
vplus(X1,X2) = vplus(X2,X1),
i_0_33 ).
cnf(c_0_57,plain,
( vplus(X1,esk2_2(X1,X2)) = X2
| ~ greater(X2,X1) ),
i_0_26 ).
cnf(c_0_58,plain,
greater(vmul(vd486,vd487),vmul(vd487,vd488)),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,negated_conjecture,
~ greater(vd486,vd488),
i_0_1 ).
cnf(c_0_60,plain,
( vplus(X1,esk1_2(X2,X1)) = X2
| X1 = X2
| greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,plain,
vplus(X1,vplus(X2,X3)) != X2,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
vplus(vmul(vd487,vd488),esk2_2(vmul(vd487,vd488),vmul(vd486,vd487))) = vmul(vd486,vd487),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( vplus(vd486,esk1_2(vd488,vd486)) = vd488
| vd488 = vd486 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
vplus(X1,vmul(vd486,vd487)) != vmul(vd487,vd488),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
vplus(vmul(X1,X2),vmul(X1,X3)) = vmul(X1,vplus(X2,X3)),
i_0_7 ).
cnf(c_0_66,plain,
( vd488 = vd486
| vplus(X1,vd488) != vd486 ),
inference(spm,[status(thm)],[c_0_61,c_0_63]) ).
cnf(c_0_67,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
i_0_28 ).
cnf(c_0_68,plain,
vplus(vmul(vd486,vd487),X1) != vmul(vd487,vd488),
inference(spm,[status(thm)],[c_0_64,c_0_56]) ).
cnf(c_0_69,plain,
vplus(vmul(X1,X2),vmul(X2,X3)) = vmul(X2,vplus(X1,X3)),
inference(spm,[status(thm)],[c_0_65,c_0_52]) ).
cnf(c_0_70,plain,
( vd488 = vd486
| vplus(vd488,X1) != vd486 ),
inference(spm,[status(thm)],[c_0_66,c_0_56]) ).
cnf(c_0_71,plain,
( X1 = X2
| vplus(X1,esk4_2(X1,X2)) = X2
| vplus(X2,esk3_2(X1,X2)) = X1 ),
i_0_27 ).
cnf(c_0_72,plain,
vplus(X1,X2) != X1,
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_73,plain,
vmul(vd487,vplus(vd486,X1)) != vmul(vd487,vd488),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
( vplus(vd486,esk3_2(vd488,vd486)) = vd488
| vd488 = vd486 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71])]) ).
cnf(c_0_75,plain,
vmul(vd487,vd488) != vmul(vd486,vd487),
inference(spm,[status(thm)],[c_0_72,c_0_62]) ).
cnf(c_0_76,plain,
vd488 = vd486,
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM853+2 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 18:41:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.25/2.21 # ENIGMATIC: Solved by autoschedule:
% 7.25/2.21 # No SInE strategy applied
% 7.25/2.21 # Trying AutoSched0 for 150 seconds
% 7.25/2.21 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
% 7.25/2.21 # and selection function SelectCQArEqLast.
% 7.25/2.21 #
% 7.25/2.21 # Preprocessing time : 0.012 s
% 7.25/2.21 # Presaturation interreduction done
% 7.25/2.21
% 7.25/2.21 # Proof found!
% 7.25/2.21 # SZS status Theorem
% 7.25/2.21 # SZS output start CNFRefutation
% See solution above
% 7.25/2.21 # Training examples: 0 positive, 0 negative
% 7.25/2.21
% 7.25/2.21 # -------------------------------------------------
% 7.25/2.21 # User time : 0.039 s
% 7.25/2.21 # System time : 0.011 s
% 7.25/2.21 # Total time : 0.050 s
% 7.25/2.21 # Maximum resident set size: 7124 pages
% 7.25/2.21
%------------------------------------------------------------------------------