TSTP Solution File: COM008+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : COM008+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 8.78s 2.49s
% Output : CNFRefutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of clauses : 54 ( 15 unt; 14 nHn; 51 RR)
% Number of literals : 136 ( 0 equ; 76 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 72 ( 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-e7dt2emj/input.p',i_0_1) ).
cnf(i_0_15,negated_conjecture,
~ goal,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_15) ).
cnf(i_0_12,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-e7dt2emj/input.p',i_0_12) ).
cnf(i_0_8,plain,
( transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X3,X2)
| ~ transitive_reflexive_rewrite(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_8) ).
cnf(i_0_11,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-e7dt2emj/input.p',i_0_11) ).
cnf(i_0_14,plain,
( equalish(X1,X2)
| rewrite(X1,esk3_2(X1,X2))
| ~ transitive_reflexive_rewrite(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_14) ).
cnf(i_0_2,plain,
transitive_reflexive_rewrite(a,c),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_2) ).
cnf(i_0_13,plain,
( equalish(X1,X2)
| transitive_reflexive_rewrite(esk3_2(X1,X2),X2)
| ~ transitive_reflexive_rewrite(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_13) ).
cnf(i_0_3,plain,
transitive_reflexive_rewrite(a,b),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_3) ).
cnf(i_0_9,plain,
( transitive_reflexive_rewrite(X1,esk1_3(X2,X3,X1))
| ~ rewrite(X2,X3)
| ~ rewrite(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_9) ).
cnf(i_0_10,plain,
( transitive_reflexive_rewrite(X1,esk1_3(X2,X1,X3))
| ~ rewrite(X2,X3)
| ~ rewrite(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_10) ).
cnf(i_0_6,plain,
( transitive_reflexive_rewrite(X1,X2)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_6) ).
cnf(i_0_4,plain,
equalish(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_4) ).
cnf(i_0_5,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e7dt2emj/input.p',i_0_5) ).
cnf(c_0_30,plain,
( goal
| ~ transitive_reflexive_rewrite(b,X1)
| ~ transitive_reflexive_rewrite(c,X1) ),
i_0_1 ).
cnf(c_0_31,negated_conjecture,
~ goal,
i_0_15 ).
cnf(c_0_32,plain,
( ~ transitive_reflexive_rewrite(b,X1)
| ~ transitive_reflexive_rewrite(c,X1) ),
inference(sr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,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_12 ).
cnf(c_0_34,plain,
( transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X3,X2)
| ~ transitive_reflexive_rewrite(X1,X3) ),
i_0_8 ).
cnf(c_0_35,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_11 ).
cnf(c_0_36,plain,
( ~ rewrite(a,X1)
| ~ transitive_reflexive_rewrite(b,esk2_3(X1,c,X2))
| ~ transitive_reflexive_rewrite(X1,c)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( transitive_reflexive_rewrite(X1,esk2_3(X2,X3,X4))
| ~ rewrite(a,X2)
| ~ transitive_reflexive_rewrite(X1,X4)
| ~ transitive_reflexive_rewrite(X2,X3)
| ~ transitive_reflexive_rewrite(X2,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
( equalish(X1,X2)
| rewrite(X1,esk3_2(X1,X2))
| ~ transitive_reflexive_rewrite(X1,X2) ),
i_0_14 ).
cnf(c_0_39,plain,
transitive_reflexive_rewrite(a,c),
i_0_2 ).
cnf(c_0_40,plain,
( equalish(X1,X2)
| transitive_reflexive_rewrite(esk3_2(X1,X2),X2)
| ~ transitive_reflexive_rewrite(X1,X2) ),
i_0_13 ).
cnf(c_0_41,plain,
( ~ rewrite(a,X1)
| ~ transitive_reflexive_rewrite(X1,c)
| ~ transitive_reflexive_rewrite(b,X2)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( rewrite(a,esk3_2(a,c))
| equalish(a,c) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
( equalish(a,c)
| transitive_reflexive_rewrite(esk3_2(a,c),c) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_44,plain,
( equalish(a,c)
| ~ transitive_reflexive_rewrite(esk3_2(a,c),X1)
| ~ transitive_reflexive_rewrite(b,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_45,plain,
( equalish(a,c)
| ~ rewrite(a,X1)
| ~ transitive_reflexive_rewrite(b,esk2_3(X1,X2,X3))
| ~ transitive_reflexive_rewrite(esk3_2(a,c),X3)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X1,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_46,plain,
transitive_reflexive_rewrite(a,b),
i_0_3 ).
cnf(c_0_47,plain,
( equalish(a,c)
| ~ rewrite(a,X1)
| ~ transitive_reflexive_rewrite(esk3_2(a,c),X2)
| ~ transitive_reflexive_rewrite(X1,b)
| ~ transitive_reflexive_rewrite(X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_33]) ).
cnf(c_0_48,plain,
( rewrite(a,esk3_2(a,b))
| equalish(a,b) ),
inference(spm,[status(thm)],[c_0_38,c_0_46]) ).
cnf(c_0_49,plain,
( equalish(a,b)
| transitive_reflexive_rewrite(esk3_2(a,b),b) ),
inference(spm,[status(thm)],[c_0_40,c_0_46]) ).
cnf(c_0_50,plain,
( equalish(a,b)
| equalish(a,c)
| ~ transitive_reflexive_rewrite(esk3_2(a,c),X1)
| ~ transitive_reflexive_rewrite(esk3_2(a,b),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_51,plain,
( transitive_reflexive_rewrite(X1,esk1_3(X2,X3,X1))
| ~ rewrite(X2,X3)
| ~ rewrite(X2,X1) ),
i_0_9 ).
cnf(c_0_52,plain,
( equalish(a,c)
| equalish(a,b)
| ~ rewrite(X1,esk3_2(a,c))
| ~ rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(esk3_2(a,b),esk1_3(X1,X2,esk3_2(a,c))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
( equalish(a,b)
| equalish(a,c)
| ~ rewrite(a,X1)
| ~ transitive_reflexive_rewrite(esk3_2(a,b),esk1_3(a,X1,esk3_2(a,c))) ),
inference(spm,[status(thm)],[c_0_52,c_0_42]) ).
cnf(c_0_54,plain,
( equalish(a,c)
| equalish(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_53,c_0_48]) ).
cnf(c_0_55,plain,
( transitive_reflexive_rewrite(X1,esk1_3(X2,X1,X3))
| ~ rewrite(X2,X3)
| ~ rewrite(X2,X1) ),
i_0_10 ).
cnf(c_0_56,plain,
( transitive_reflexive_rewrite(X1,X2)
| ~ equalish(X1,X2) ),
i_0_6 ).
cnf(c_0_57,plain,
equalish(X1,X1),
i_0_4 ).
cnf(c_0_58,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
i_0_5 ).
cnf(c_0_59,plain,
( equalish(a,b)
| equalish(a,c) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_48]),c_0_42]) ).
cnf(c_0_60,plain,
( transitive_reflexive_rewrite(X1,b)
| ~ transitive_reflexive_rewrite(X1,a) ),
inference(spm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_61,plain,
transitive_reflexive_rewrite(X1,X1),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( equalish(a,b)
| equalish(c,a) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
~ transitive_reflexive_rewrite(c,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_60]),c_0_61])]) ).
cnf(c_0_64,plain,
equalish(a,b),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_62]),c_0_63]) ).
cnf(c_0_65,plain,
~ transitive_reflexive_rewrite(b,c),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
cnf(c_0_66,plain,
( transitive_reflexive_rewrite(X1,c)
| ~ transitive_reflexive_rewrite(X1,a) ),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_67,plain,
equalish(b,a),
inference(spm,[status(thm)],[c_0_58,c_0_64]) ).
cnf(c_0_68,plain,
~ transitive_reflexive_rewrite(b,a),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_67]),c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM008+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 16 17:04:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 8.78/2.49 # ENIGMATIC: Solved by autoschedule:
% 8.78/2.49 # No SInE strategy applied
% 8.78/2.49 # Trying AutoSched0 for 150 seconds
% 8.78/2.49 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PS_S3S
% 8.78/2.49 # and selection function SelectNewComplexAHPExceptUniqMaxHorn.
% 8.78/2.49 #
% 8.78/2.49 # Preprocessing time : 0.014 s
% 8.78/2.49 # Presaturation interreduction done
% 8.78/2.49
% 8.78/2.49 # Proof found!
% 8.78/2.49 # SZS status Theorem
% 8.78/2.49 # SZS output start CNFRefutation
% See solution above
% 8.78/2.49 # Training examples: 0 positive, 0 negative
% 8.78/2.49
% 8.78/2.49 # -------------------------------------------------
% 8.78/2.49 # User time : 0.037 s
% 8.78/2.49 # System time : 0.005 s
% 8.78/2.49 # Total time : 0.042 s
% 8.78/2.49 # Maximum resident set size: 7120 pages
% 8.78/2.49
%------------------------------------------------------------------------------