%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : COM008+2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Fri Jul 15 01:06:54 EDT 2022
% Result : Theorem 7.83s 2.38s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 49 ( 11 unt; 18 nHn; 48 RR)
% Number of literals : 151 ( 35 equ; 86 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( goal
| ~ transitive_reflexive_rewrite(b,X1)
| ~ transitive_reflexive_rewrite(c,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_1) ).
cnf(i_0_13,negated_conjecture,
~ goal,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_13) ).
cnf(i_0_10,plain,
( transitive_reflexive_rewrite(X1,esk2_3(X2,X1,X3))
| ~ transitive_reflexive_rewrite(X2,X3)
| ~ transitive_reflexive_rewrite(X2,X1)
| ~ rewrite(a,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_10) ).
cnf(i_0_12,plain,
( X1 = X2
| rewrite(X1,esk3_2(X1,X2))
| ~ transitive_reflexive_rewrite(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_12) ).
cnf(i_0_9,plain,
( transitive_reflexive_rewrite(X1,esk2_3(X2,X3,X1))
| ~ transitive_reflexive_rewrite(X2,X3)
| ~ transitive_reflexive_rewrite(X2,X1)
| ~ rewrite(a,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_9) ).
cnf(i_0_3,plain,
transitive_reflexive_rewrite(a,b),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_3) ).
cnf(i_0_6,plain,
( transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X3,X2)
| ~ transitive_reflexive_rewrite(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_6) ).
cnf(i_0_11,plain,
( X1 = X2
| transitive_reflexive_rewrite(esk3_2(X1,X2),X2)
| ~ transitive_reflexive_rewrite(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_11) ).
cnf(i_0_2,plain,
transitive_reflexive_rewrite(a,c),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_2) ).
cnf(i_0_4,plain,
( transitive_reflexive_rewrite(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_4) ).
cnf(i_0_7,plain,
( transitive_reflexive_rewrite(X1,esk1_3(X2,X3,X1))
| ~ rewrite(X2,X3)
| ~ rewrite(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_7) ).
cnf(i_0_8,plain,
( transitive_reflexive_rewrite(X1,esk1_3(X2,X1,X3))
| ~ rewrite(X2,X3)
| ~ rewrite(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vc8un_gs/lgb.p',i_0_8) ).
cnf(c_0_26,plain,
( goal
| ~ transitive_reflexive_rewrite(b,X1)
| ~ transitive_reflexive_rewrite(c,X1) ),
i_0_1 ).
cnf(c_0_27,negated_conjecture,
~ goal,
i_0_13 ).
cnf(c_0_28,plain,
( transitive_reflexive_rewrite(X1,esk2_3(X2,X1,X3))
| ~ transitive_reflexive_rewrite(X2,X3)
| ~ transitive_reflexive_rewrite(X2,X1)
| ~ rewrite(a,X2) ),
i_0_10 ).
cnf(c_0_29,plain,
( X1 = X2
| rewrite(X1,esk3_2(X1,X2))
| ~ transitive_reflexive_rewrite(X1,X2) ),
i_0_12 ).
cnf(c_0_30,plain,
( ~ transitive_reflexive_rewrite(b,X1)
| ~ transitive_reflexive_rewrite(c,X1) ),
inference(sr,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( a = X1
| transitive_reflexive_rewrite(X2,esk2_3(esk3_2(a,X1),X2,X3))
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),X3)
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),X2)
| ~ transitive_reflexive_rewrite(a,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( transitive_reflexive_rewrite(X1,esk2_3(X2,X3,X1))
| ~ transitive_reflexive_rewrite(X2,X3)
| ~ transitive_reflexive_rewrite(X2,X1)
| ~ rewrite(a,X2) ),
i_0_9 ).
cnf(c_0_33,plain,
( a = X1
| ~ transitive_reflexive_rewrite(c,esk2_3(esk3_2(a,X1),b,X2))
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),b)
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),X2)
| ~ transitive_reflexive_rewrite(a,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
transitive_reflexive_rewrite(a,b),
i_0_3 ).
cnf(c_0_35,plain,
( transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X3,X2)
| ~ transitive_reflexive_rewrite(X1,X3) ),
i_0_6 ).
cnf(c_0_36,plain,
( a = X1
| transitive_reflexive_rewrite(X2,esk2_3(esk3_2(a,X1),X3,X2))
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),X3)
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),X2)
| ~ transitive_reflexive_rewrite(a,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_37,plain,
( a = b
| ~ transitive_reflexive_rewrite(c,esk2_3(esk3_2(a,b),b,X1))
| ~ transitive_reflexive_rewrite(esk3_2(a,b),b)
| ~ transitive_reflexive_rewrite(esk3_2(a,b),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( a = X1
| transitive_reflexive_rewrite(X2,esk2_3(esk3_2(a,X1),X3,X4))
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),X3)
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),X4)
| ~ transitive_reflexive_rewrite(a,X1)
| ~ transitive_reflexive_rewrite(X2,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
( a = b
| ~ transitive_reflexive_rewrite(esk3_2(a,b),b)
| ~ transitive_reflexive_rewrite(esk3_2(a,b),X1)
| ~ transitive_reflexive_rewrite(c,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_34])]) ).
cnf(c_0_40,plain,
( X1 = X2
| transitive_reflexive_rewrite(esk3_2(X1,X2),X2)
| ~ transitive_reflexive_rewrite(X1,X2) ),
i_0_11 ).
cnf(c_0_41,plain,
( a = b
| ~ transitive_reflexive_rewrite(esk3_2(a,b),X1)
| ~ transitive_reflexive_rewrite(c,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34])]) ).
cnf(c_0_42,plain,
transitive_reflexive_rewrite(a,c),
i_0_2 ).
cnf(c_0_43,plain,
( transitive_reflexive_rewrite(X1,X2)
| X1 != X2 ),
i_0_4 ).
cnf(c_0_44,plain,
( a = b
| a = X1
| ~ transitive_reflexive_rewrite(esk3_2(a,b),esk2_3(esk3_2(a,X1),c,X2))
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),c)
| ~ transitive_reflexive_rewrite(esk3_2(a,X1),X2)
| ~ transitive_reflexive_rewrite(a,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_45,plain,
( transitive_reflexive_rewrite(X1,c)
| ~ transitive_reflexive_rewrite(X1,a) ),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_46,plain,
transitive_reflexive_rewrite(X1,X1),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_47,plain,
( c = a
| a = b
| ~ transitive_reflexive_rewrite(esk3_2(a,b),esk2_3(esk3_2(a,c),c,X1))
| ~ transitive_reflexive_rewrite(esk3_2(a,c),c)
| ~ transitive_reflexive_rewrite(esk3_2(a,c),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_48,plain,
( transitive_reflexive_rewrite(X1,esk1_3(X2,X3,X1))
| ~ rewrite(X2,X3)
| ~ rewrite(X2,X1) ),
i_0_7 ).
cnf(c_0_49,plain,
( a = b
| c = a
| ~ transitive_reflexive_rewrite(esk3_2(a,c),c)
| ~ transitive_reflexive_rewrite(esk3_2(a,c),X1)
| ~ transitive_reflexive_rewrite(esk3_2(a,b),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_38]),c_0_42])]) ).
cnf(c_0_50,plain,
( X1 = X2
| transitive_reflexive_rewrite(X3,esk1_3(X1,esk3_2(X1,X2),X3))
| ~ rewrite(X1,X3)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_29]) ).
cnf(c_0_51,plain,
( c = a
| a = b
| ~ transitive_reflexive_rewrite(esk3_2(a,c),X1)
| ~ transitive_reflexive_rewrite(esk3_2(a,b),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_40]),c_0_42])]) ).
cnf(c_0_52,plain,
( X1 = X2
| X1 = X3
| transitive_reflexive_rewrite(esk3_2(X1,X2),esk1_3(X1,esk3_2(X1,X3),esk3_2(X1,X2)))
| ~ transitive_reflexive_rewrite(X1,X3)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_29]) ).
cnf(c_0_53,plain,
( transitive_reflexive_rewrite(X1,esk1_3(X2,X1,X3))
| ~ rewrite(X2,X3)
| ~ rewrite(X2,X1) ),
i_0_8 ).
cnf(c_0_54,plain,
( a = b
| c = a
| a = X1
| ~ transitive_reflexive_rewrite(esk3_2(a,b),esk1_3(a,esk3_2(a,X1),esk3_2(a,c)))
| ~ transitive_reflexive_rewrite(a,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_42])]) ).
cnf(c_0_55,plain,
( X1 = X2
| transitive_reflexive_rewrite(X3,esk1_3(X1,X3,esk3_2(X1,X2)))
| ~ rewrite(X1,X3)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_29]) ).
cnf(c_0_56,plain,
( c = a
| a = b
| ~ transitive_reflexive_rewrite(esk3_2(a,b),esk1_3(a,esk3_2(a,b),esk3_2(a,c))) ),
inference(spm,[status(thm)],[c_0_54,c_0_34]) ).
cnf(c_0_57,plain,
( X1 = X2
| X1 = X3
| transitive_reflexive_rewrite(esk3_2(X1,X2),esk1_3(X1,esk3_2(X1,X2),esk3_2(X1,X3)))
| ~ transitive_reflexive_rewrite(X1,X3)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_29]) ).
cnf(c_0_58,plain,
~ transitive_reflexive_rewrite(c,b),
inference(spm,[status(thm)],[c_0_30,c_0_46]) ).
cnf(c_0_59,plain,
( a = b
| c = a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_42]),c_0_34])]) ).
cnf(c_0_60,plain,
~ transitive_reflexive_rewrite(b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_45]),c_0_46])]) ).
cnf(c_0_61,plain,
a = b,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_34])]) ).
cnf(c_0_62,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COM008+2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 16:59:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.83/2.38 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.83/2.38 # No SInE strategy applied
% 7.83/2.38 # Trying AutoSched0 for 150 seconds
% 7.83/2.38 # AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S070I
% 7.83/2.38 # and selection function SelectVGNonCR.
% 7.83/2.38 #
% 7.83/2.38 # Preprocessing time : 0.021 s
% 7.83/2.38 # Presaturation interreduction done
% 7.83/2.38
% 7.83/2.38 # Proof found!
% 7.83/2.38 # SZS status Theorem
% 7.83/2.38 # SZS output start CNFRefutation
% See solution above
% 7.83/2.38 # Training examples: 0 positive, 0 negative
% 7.83/2.38
% 7.83/2.38 # -------------------------------------------------
% 7.83/2.38 # User time : 0.074 s
% 7.83/2.38 # System time : 0.005 s
% 7.83/2.38 # Total time : 0.079 s
% 7.83/2.38 # Maximum resident set size: 7124 pages
% 7.83/2.38
%------------------------------------------------------------------------------