TSTP Solution File: HAL002+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : HAL002+1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 : Sat Jul 16 12:45:05 EDT 2022
% Result : Theorem 7.24s 2.37s
% Output : CNFRefutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of clauses : 66 ( 14 unt; 19 nHn; 66 RR)
% Number of literals : 167 ( 44 equ; 85 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 118 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
( element(subtract(X1,X2,X3),X1)
| ~ element(X3,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_30) ).
cnf(i_0_31,plain,
( subtract(X1,X2,X2) = zero(X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_31) ).
cnf(i_0_21,plain,
( injection_2(X1)
| element(esk5_3(X1,X2,X3),X2)
| ~ morphism(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_21) ).
cnf(i_0_8,plain,
( apply(X1,zero(X2)) = zero(X3)
| ~ morphism(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_8) ).
cnf(i_0_34,hypothesis,
morphism(x,any1,any2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_34) ).
cnf(i_0_7,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ injection(X3)
| ~ element(X2,X4)
| ~ element(X1,X4)
| ~ morphism(X3,X4,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_7) ).
cnf(i_0_6,plain,
( X1 = zero(X2)
| apply(X3,X1) != zero(X4)
| ~ injection_2(X3)
| ~ element(X1,X2)
| ~ morphism(X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_6) ).
cnf(i_0_10,negated_conjecture,
( injection_2(x)
| injection(x) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_10) ).
cnf(i_0_20,plain,
( apply(X1,esk5_3(X1,X2,X3)) = zero(X3)
| injection_2(X1)
| ~ morphism(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_20) ).
cnf(i_0_19,plain,
( injection_2(X1)
| esk5_3(X1,X2,X3) != zero(X2)
| ~ morphism(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_19) ).
cnf(i_0_23,plain,
( apply(X1,esk7_2(X1,X2)) = apply(X1,esk6_2(X1,X2))
| injection(X1)
| ~ morphism(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_23) ).
cnf(i_0_11,negated_conjecture,
( ~ injection_2(x)
| ~ injection(x) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_11) ).
cnf(i_0_25,plain,
( injection(X1)
| element(esk6_2(X1,X2),X2)
| ~ morphism(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_25) ).
cnf(i_0_9,plain,
( element(apply(X1,X2),X3)
| ~ element(X2,X4)
| ~ morphism(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_9) ).
cnf(i_0_29,plain,
( apply(X1,subtract(X2,X3,X4)) = subtract(X5,apply(X1,X3),apply(X1,X4))
| ~ element(X4,X2)
| ~ element(X3,X2)
| ~ morphism(X1,X2,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_29) ).
cnf(i_0_24,plain,
( injection(X1)
| element(esk7_2(X1,X2),X2)
| ~ morphism(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_24) ).
cnf(i_0_28,plain,
( subtract(X1,X2,subtract(X1,X2,X3)) = X3
| ~ element(X3,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_28) ).
cnf(i_0_22,plain,
( injection(X1)
| esk7_2(X1,X2) != esk6_2(X1,X2)
| ~ morphism(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h1s3hdps/lgb.p',i_0_22) ).
cnf(c_0_53,plain,
( element(subtract(X1,X2,X3),X1)
| ~ element(X3,X1)
| ~ element(X2,X1) ),
i_0_30 ).
cnf(c_0_54,plain,
( subtract(X1,X2,X2) = zero(X1)
| ~ element(X2,X1) ),
i_0_31 ).
cnf(c_0_55,plain,
( element(zero(X1),X1)
| ~ element(X2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
( injection_2(X1)
| element(esk5_3(X1,X2,X3),X2)
| ~ morphism(X1,X2,X3) ),
i_0_21 ).
cnf(c_0_57,plain,
( apply(X1,zero(X2)) = zero(X3)
| ~ morphism(X1,X2,X3) ),
i_0_8 ).
cnf(c_0_58,hypothesis,
morphism(x,any1,any2),
i_0_34 ).
cnf(c_0_59,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ injection(X3)
| ~ element(X2,X4)
| ~ element(X1,X4)
| ~ morphism(X3,X4,X5) ),
i_0_7 ).
cnf(c_0_60,plain,
( element(zero(X1),X1)
| injection_2(X2)
| ~ morphism(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
( X1 = zero(X2)
| apply(X3,X1) != zero(X4)
| ~ injection_2(X3)
| ~ element(X1,X2)
| ~ morphism(X3,X2,X4) ),
i_0_6 ).
cnf(c_0_62,hypothesis,
zero(any2) = apply(x,zero(any1)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,hypothesis,
( X1 = X2
| apply(x,X1) != apply(x,X2)
| ~ element(X2,any1)
| ~ element(X1,any1)
| ~ injection(x) ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_64,hypothesis,
( element(zero(any1),any1)
| injection_2(x) ),
inference(spm,[status(thm)],[c_0_60,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( injection_2(x)
| injection(x) ),
i_0_10 ).
cnf(c_0_66,hypothesis,
( X1 = zero(any1)
| apply(x,X1) != apply(x,zero(any1))
| ~ element(X1,any1)
| ~ injection_2(x) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_58]),c_0_62]) ).
cnf(c_0_67,hypothesis,
( X1 = zero(any1)
| apply(x,X1) != apply(x,zero(any1))
| ~ element(X1,any1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_68,plain,
( apply(X1,esk5_3(X1,X2,X3)) = zero(X3)
| injection_2(X1)
| ~ morphism(X1,X2,X3) ),
i_0_20 ).
cnf(c_0_69,plain,
( esk5_3(x,X1,X2) = zero(any1)
| injection_2(x)
| zero(X2) != apply(x,zero(any1))
| ~ element(esk5_3(x,X1,X2),any1)
| ~ morphism(x,X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_70,plain,
( injection_2(X1)
| esk5_3(X1,X2,X3) != zero(X2)
| ~ morphism(X1,X2,X3) ),
i_0_19 ).
cnf(c_0_71,plain,
( injection_2(x)
| ~ morphism(x,any1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_56]),c_0_57]),c_0_70]) ).
cnf(c_0_72,plain,
( apply(X1,esk7_2(X1,X2)) = apply(X1,esk6_2(X1,X2))
| injection(X1)
| ~ morphism(X1,X2,X3) ),
i_0_23 ).
cnf(c_0_73,negated_conjecture,
( ~ injection_2(x)
| ~ injection(x) ),
i_0_11 ).
cnf(c_0_74,hypothesis,
injection_2(x),
inference(spm,[status(thm)],[c_0_71,c_0_58]) ).
cnf(c_0_75,plain,
( injection(X1)
| element(esk6_2(X1,X2),X2)
| ~ morphism(X1,X2,X3) ),
i_0_25 ).
cnf(c_0_76,plain,
( element(apply(X1,X2),X3)
| ~ element(X2,X4)
| ~ morphism(X1,X4,X3) ),
i_0_9 ).
cnf(c_0_77,plain,
( apply(X1,subtract(X2,X3,X4)) = subtract(X5,apply(X1,X3),apply(X1,X4))
| ~ element(X4,X2)
| ~ element(X3,X2)
| ~ morphism(X1,X2,X5) ),
i_0_29 ).
cnf(c_0_78,hypothesis,
( apply(x,esk6_2(x,any1)) = apply(x,esk7_2(x,any1))
| injection(x) ),
inference(spm,[status(thm)],[c_0_72,c_0_58]) ).
cnf(c_0_79,negated_conjecture,
~ injection(x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_80,hypothesis,
( element(esk6_2(x,any1),any1)
| injection(x) ),
inference(spm,[status(thm)],[c_0_75,c_0_58]) ).
cnf(c_0_81,hypothesis,
( element(apply(x,X1),any2)
| ~ element(X1,any1) ),
inference(spm,[status(thm)],[c_0_76,c_0_58]) ).
cnf(c_0_82,plain,
( injection(X1)
| element(esk7_2(X1,X2),X2)
| ~ morphism(X1,X2,X3) ),
i_0_24 ).
cnf(c_0_83,hypothesis,
( subtract(any2,apply(x,X1),apply(x,X2)) = apply(x,subtract(any1,X1,X2))
| ~ element(X2,any1)
| ~ element(X1,any1) ),
inference(spm,[status(thm)],[c_0_77,c_0_58]) ).
cnf(c_0_84,hypothesis,
apply(x,esk6_2(x,any1)) = apply(x,esk7_2(x,any1)),
inference(sr,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,hypothesis,
element(esk6_2(x,any1),any1),
inference(sr,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_86,hypothesis,
( element(apply(x,esk7_2(x,any1)),any2)
| injection(x) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_78]),c_0_80]) ).
cnf(c_0_87,hypothesis,
( element(esk7_2(x,any1),any1)
| injection(x) ),
inference(spm,[status(thm)],[c_0_82,c_0_58]) ).
cnf(c_0_88,hypothesis,
( subtract(any2,apply(x,esk7_2(x,any1)),apply(x,X1)) = apply(x,subtract(any1,esk6_2(x,any1),X1))
| ~ element(X1,any1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_89,hypothesis,
element(apply(x,esk7_2(x,any1)),any2),
inference(sr,[status(thm)],[c_0_86,c_0_79]) ).
cnf(c_0_90,hypothesis,
element(esk7_2(x,any1),any1),
inference(sr,[status(thm)],[c_0_87,c_0_79]) ).
cnf(c_0_91,plain,
apply(x,subtract(any1,esk6_2(x,any1),esk7_2(x,any1))) = apply(x,zero(any1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_88]),c_0_62]),c_0_89]),c_0_90])]) ).
cnf(c_0_92,hypothesis,
( subtract(any1,esk6_2(x,any1),esk7_2(x,any1)) = zero(any1)
| ~ element(subtract(any1,esk6_2(x,any1),esk7_2(x,any1)),any1) ),
inference(spm,[status(thm)],[c_0_67,c_0_91]) ).
cnf(c_0_93,plain,
( subtract(X1,X2,subtract(X1,X2,X3)) = X3
| ~ element(X3,X1)
| ~ element(X2,X1) ),
i_0_28 ).
cnf(c_0_94,plain,
subtract(any1,esk6_2(x,any1),esk7_2(x,any1)) = zero(any1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_53]),c_0_90]),c_0_85])]) ).
cnf(c_0_95,plain,
( injection(X1)
| esk7_2(X1,X2) != esk6_2(X1,X2)
| ~ morphism(X1,X2,X3) ),
i_0_22 ).
cnf(c_0_96,plain,
( subtract(X1,X2,zero(X1)) = X2
| ~ element(X2,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_54]) ).
cnf(c_0_97,plain,
subtract(any1,esk6_2(x,any1),zero(any1)) = esk7_2(x,any1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_90]),c_0_85])]) ).
cnf(c_0_98,hypothesis,
( injection(x)
| esk6_2(x,any1) != esk7_2(x,any1) ),
inference(spm,[status(thm)],[c_0_95,c_0_58]) ).
cnf(c_0_99,plain,
esk6_2(x,any1) = esk7_2(x,any1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_85])]) ).
cnf(c_0_100,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HAL002+1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n025.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 : Tue Jun 7 21:27:50 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.24/2.37 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.24/2.37 # No SInE strategy applied
% 7.24/2.37 # Trying AutoSched0 for 150 seconds
% 7.24/2.37 # AutoSched0-Mode selected heuristic G_E___207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 7.24/2.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.24/2.37 #
% 7.24/2.37 # Preprocessing time : 0.023 s
% 7.24/2.37 # Presaturation interreduction done
% 7.24/2.37
% 7.24/2.37 # Proof found!
% 7.24/2.37 # SZS status Theorem
% 7.24/2.37 # SZS output start CNFRefutation
% See solution above
% 7.24/2.37 # Training examples: 0 positive, 0 negative
% 7.24/2.37
% 7.24/2.37 # -------------------------------------------------
% 7.24/2.37 # User time : 0.038 s
% 7.24/2.37 # System time : 0.006 s
% 7.24/2.37 # Total time : 0.044 s
% 7.24/2.37 # Maximum resident set size: 7124 pages
% 7.24/2.37
%------------------------------------------------------------------------------