TSTP Solution File: SEU446+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU446+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 : Tue Jul 19 08:42:40 EDT 2022
% Result : Theorem 26.06s 6.93s
% Output : CNFRefutation 26.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 21 unt; 0 def)
% Number of atoms : 100 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 32 ~; 26 |; 7 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 91 ( 2 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t58_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,k6_relset_1(X1,X2,X3),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_relset_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
fof(d1_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
<=> r1_tarski(X3,k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',d1_relset_1) ).
fof(t3_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> v1_relat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t3_relat_1) ).
fof(t6_relat_1,axiom,
! [X1,X2] : v1_relat_1(k2_zfmisc_1(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t6_relat_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',redefinition_k6_relset_1) ).
fof(t21_funct_5,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( k1_funct_5(X1) = k1_relat_1(X1)
& k2_funct_5(X1) = k2_relat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+61.ax',t21_funct_5) ).
fof(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',dt_k6_relset_1) ).
fof(t51_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(redefinition_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',redefinition_k10_relset_1) ).
fof(involutiveness_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k4_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',involutiveness_k4_relat_1) ).
fof(t57_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,X3,k6_relset_1(X2,X1,X3)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_relset_2) ).
fof(c_0_12,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,k6_relset_1(X1,X2,X3),X3),X2) ),
inference(assume_negation,[status(cth)],[t58_relset_2]) ).
fof(c_0_13,plain,
! [X402,X403,X404] :
( ( ~ m2_relset_1(X404,X402,X403)
| m1_relset_1(X404,X402,X403) )
& ( ~ m1_relset_1(X404,X402,X403)
| m2_relset_1(X404,X402,X403) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_14,negated_conjecture,
( m2_relset_1(esk3_0,esk1_0,esk2_0)
& k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_15,plain,
! [X396,X397,X398] :
( ( ~ m1_relset_1(X398,X396,X397)
| r1_tarski(X398,k2_zfmisc_1(X396,X397)) )
& ( ~ r1_tarski(X398,k2_zfmisc_1(X396,X397))
| m1_relset_1(X398,X396,X397) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])]) ).
cnf(c_0_16,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X1215,X1216] :
( ~ v1_relat_1(X1216)
| ~ r1_tarski(X1215,X1216)
| v1_relat_1(X1215) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])]) ).
cnf(c_0_19,plain,
( r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
m1_relset_1(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_21,plain,
! [X1060,X1061] : v1_relat_1(k2_zfmisc_1(X1060,X1061)),
inference(variable_rename,[status(thm)],[t6_relat_1]) ).
fof(c_0_22,plain,
! [X86,X87,X88] :
( ~ m1_relset_1(X88,X86,X87)
| k6_relset_1(X86,X87,X88) = k4_relat_1(X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
fof(c_0_23,plain,
! [X1298] :
( ( k1_funct_5(X1298) = k1_relat_1(X1298)
| ~ v1_relat_1(X1298) )
& ( k2_funct_5(X1298) = k2_relat_1(X1298)
| ~ v1_relat_1(X1298) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])]) ).
cnf(c_0_24,plain,
( v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
r1_tarski(esk3_0,k2_zfmisc_1(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X80,X81,X82] :
( ~ m1_relset_1(X82,X80,X81)
| m2_relset_1(k6_relset_1(X80,X81,X82),X81,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
cnf(c_0_28,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X90,X91,X92] :
( ( k1_funct_5(X92) = k10_relset_1(X90,X91,k6_relset_1(X91,X90,X92),X90)
| ~ m2_relset_1(X92,X91,X90) )
& ( k2_funct_5(X92) = k10_relset_1(X91,X90,X92,X91)
| ~ m2_relset_1(X92,X91,X90) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).
cnf(c_0_30,plain,
( k2_funct_5(X1) = k2_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
v1_relat_1(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
fof(c_0_32,plain,
! [X29,X30,X31,X32] :
( ~ m1_relset_1(X31,X29,X30)
| k10_relset_1(X29,X30,X31,X32) = k9_relat_1(X31,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
cnf(c_0_33,plain,
( m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
k6_relset_1(esk1_0,esk2_0,esk3_0) = k4_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
fof(c_0_35,plain,
! [X1516] :
( ~ v1_relat_1(X1516)
| k4_relat_1(k4_relat_1(X1516)) = X1516 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).
cnf(c_0_36,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
k2_funct_5(esk3_0) = k2_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,plain,
( k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
m2_relset_1(k4_relat_1(esk3_0),esk2_0,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_34]) ).
cnf(c_0_41,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k4_relat_1(esk3_0),esk3_0),esk2_0) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0),
inference(rw,[status(thm)],[c_0_36,c_0_34]) ).
cnf(c_0_43,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) = k2_relat_1(esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_38]) ).
cnf(c_0_44,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,esk3_0,X1) = k9_relat_1(esk3_0,X1),
inference(spm,[status(thm)],[c_0_39,c_0_20]) ).
fof(c_0_45,plain,
! [X74,X75,X76] :
( ~ m2_relset_1(X76,X75,X74)
| k10_relset_1(X74,X75,k6_relset_1(X75,X74,X76),X74) = k10_relset_1(X75,X75,k9_relset_2(X75,X74,X75,X76,k6_relset_1(X75,X74,X76)),X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t57_relset_2])]) ).
cnf(c_0_46,negated_conjecture,
m1_relset_1(k4_relat_1(esk3_0),esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_16,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
k4_relat_1(k4_relat_1(esk3_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_48,negated_conjecture,
k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k4_relat_1(esk3_0),esk3_0),esk2_0) != k2_relat_1(esk3_0),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
k2_relat_1(esk3_0) = k9_relat_1(esk3_0,esk1_0),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
( k10_relset_1(X3,X2,k6_relset_1(X2,X3,X1),X3) = k10_relset_1(X2,X2,k9_relset_2(X2,X3,X2,X1,k6_relset_1(X2,X3,X1)),X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
k6_relset_1(esk2_0,esk1_0,k4_relat_1(esk3_0)) = esk3_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_46]),c_0_47]) ).
cnf(c_0_52,negated_conjecture,
k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k4_relat_1(esk3_0),esk3_0),esk2_0) != k9_relat_1(esk3_0,esk1_0),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_51]),c_0_44]),c_0_51]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU446+3 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.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 : Sun Jun 19 00:32:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.91/1.09 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.09 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.91/1.09 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.91/1.09 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 26.06/6.93 # ENIGMATIC: Solved by autoschedule:
% 26.06/6.93 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 26.06/6.93 # Trying AutoSched0 for 149 seconds
% 26.06/6.93 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 26.06/6.93 # and selection function SelectCQArNTNpEqFirst.
% 26.06/6.93 #
% 26.06/6.93 # Preprocessing time : 0.131 s
% 26.06/6.93 # Presaturation interreduction done
% 26.06/6.93
% 26.06/6.93 # Proof found!
% 26.06/6.93 # SZS status Theorem
% 26.06/6.93 # SZS output start CNFRefutation
% See solution above
% 26.06/6.93 # Training examples: 0 positive, 0 negative
% 26.06/6.93
% 26.06/6.93 # -------------------------------------------------
% 26.06/6.93 # User time : 1.870 s
% 26.06/6.93 # System time : 0.123 s
% 26.06/6.93 # Total time : 1.993 s
% 26.06/6.93 # Maximum resident set size: 44192 pages
% 26.06/6.93
%------------------------------------------------------------------------------