%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM836+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 08:40:27 EDT 2022
% Result : Theorem 6.28s 2.10s
% Output : CNFRefutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 32 ( 22 unt; 2 nHn; 25 RR)
% Number of literals : 44 ( 35 equ; 12 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 : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8ty649vy/lgb.p',i_0_9) ).
cnf(i_0_12,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8ty649vy/lgb.p',i_0_12) ).
cnf(i_0_8,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-8ty649vy/lgb.p',i_0_8) ).
cnf(i_0_13,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8ty649vy/lgb.p',i_0_13) ).
cnf(i_0_7,plain,
( vplus(X1,esk2_2(X1,X2)) = X2
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8ty649vy/lgb.p',i_0_7) ).
cnf(i_0_2,negated_conjecture,
greater(vd203,vd204),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8ty649vy/lgb.p',i_0_2) ).
cnf(i_0_5,plain,
( vplus(X1,esk1_2(X2,X1)) = X2
| ~ less(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8ty649vy/lgb.p',i_0_5) ).
cnf(i_0_1,negated_conjecture,
less(vd203,vd204),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8ty649vy/lgb.p',i_0_1) ).
cnf(c_0_22,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
i_0_9 ).
cnf(c_0_23,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
i_0_12 ).
cnf(c_0_24,plain,
( X1 = X2
| vplus(X1,esk4_2(X1,X2)) = X2
| vplus(X2,esk3_2(X1,X2)) = X1 ),
i_0_8 ).
cnf(c_0_25,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
i_0_13 ).
cnf(c_0_26,plain,
vplus(X1,X2) != X1,
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( vplus(X1,esk2_2(X1,X2)) = X2
| ~ greater(X2,X1) ),
i_0_7 ).
cnf(c_0_28,negated_conjecture,
greater(vd203,vd204),
i_0_2 ).
cnf(c_0_29,plain,
esk4_2(X1,vplus(X1,X2)) = X2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24])]),c_0_25]),c_0_26]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
vplus(vd204,esk2_2(vd204,vd203)) = vd203,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( vplus(X1,esk1_2(X2,X1)) = X2
| ~ less(X1,X2) ),
i_0_5 ).
cnf(c_0_32,negated_conjecture,
less(vd203,vd204),
i_0_1 ).
cnf(c_0_33,negated_conjecture,
esk2_2(vd204,vd203) = esk4_2(vd204,vd203),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
vplus(vd203,esk1_2(vd204,vd203)) = vd204,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
esk3_2(vplus(X1,X2),X1) = X2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24])]),c_0_25]),c_0_26]),c_0_26]) ).
cnf(c_0_36,negated_conjecture,
vplus(vd204,esk4_2(vd204,vd203)) = vd203,
inference(rw,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
esk1_2(vd204,vd203) = esk4_2(vd203,vd204),
inference(spm,[status(thm)],[c_0_29,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
esk4_2(vd204,vd203) = esk3_2(vd203,vd204),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
vplus(vd203,esk4_2(vd203,vd204)) = vd204,
inference(rw,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
vplus(vd204,esk3_2(vd203,vd204)) = vd203,
inference(rw,[status(thm)],[c_0_36,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
esk4_2(vd203,vd204) = esk3_2(vd204,vd203),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_42,plain,
vplus(vd204,vplus(esk3_2(vd203,vd204),X1)) = vplus(vd203,X1),
inference(spm,[status(thm)],[c_0_25,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
vplus(vd203,esk3_2(vd204,vd203)) = vd204,
inference(rw,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_44,plain,
vplus(vd203,X1) != vd204,
inference(spm,[status(thm)],[c_0_26,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_43,c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM836+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jul 7 12:28:24 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 6.28/2.10 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.28/2.10 # No SInE strategy applied
% 6.28/2.10 # Trying AutoSched0 for 150 seconds
% 6.28/2.10 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S039I
% 6.28/2.10 # and selection function PSelectUnlessUniqMaxPos.
% 6.28/2.10 #
% 6.28/2.10 # Preprocessing time : 0.012 s
% 6.28/2.10 # Presaturation interreduction done
% 6.28/2.10
% 6.28/2.10 # Proof found!
% 6.28/2.10 # SZS status Theorem
% 6.28/2.10 # SZS output start CNFRefutation
% See solution above
% 6.28/2.11 # Training examples: 0 positive, 0 negative
% 6.28/2.11
% 6.28/2.11 # -------------------------------------------------
% 6.28/2.11 # User time : 0.014 s
% 6.28/2.11 # System time : 0.005 s
% 6.28/2.11 # Total time : 0.019 s
% 6.28/2.11 # Maximum resident set size: 7124 pages
% 6.28/2.11
%------------------------------------------------------------------------------