TSTP Solution File: SEU420+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU420+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:42:12 EDT 2022
% Result : Theorem 49.87s 12.09s
% Output : CNFRefutation 49.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 27 unt; 0 def)
% Number of atoms : 84 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 30 ~; 23 |; 4 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 2 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_relset_2,conjecture,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> r1_tarski(k9_relat_1(k3_xboole_0(X2,X3),k3_pua2mss1(X1)),k3_xboole_0(k9_relat_1(X2,k3_pua2mss1(X1)),k9_relat_1(X3,k3_pua2mss1(X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_relset_2) ).
fof(d2_pua2mss1,axiom,
! [X1] : k3_pua2mss1(X1) = k8_eqrel_1(X1,k6_partfun1(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+441.ax',d2_pua2mss1) ).
fof(t48_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(t19_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X1,X3) )
=> r1_tarski(X1,k3_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t19_xboole_1) ).
fof(t157_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X2,X3)
=> r1_tarski(k9_relat_1(X2,X1),k9_relat_1(X3,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t157_relat_1) ).
fof(t3_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> v1_relat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t3_relat_1) ).
fof(t2_boole,axiom,
! [X1] : k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t2_boole) ).
fof(t36_xboole_1,axiom,
! [X1,X2] : r1_tarski(k4_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t36_xboole_1) ).
fof(t49_xboole_1,axiom,
! [X1,X2,X3] : k3_xboole_0(X1,k4_xboole_0(X2,X3)) = k4_xboole_0(k3_xboole_0(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t49_xboole_1) ).
fof(t3_boole,axiom,
! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t3_boole) ).
fof(t37_xboole_1,axiom,
! [X1,X2] :
( k4_xboole_0(X1,X2) = k1_xboole_0
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t37_xboole_1) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> r1_tarski(k9_relat_1(k3_xboole_0(X2,X3),k3_pua2mss1(X1)),k3_xboole_0(k9_relat_1(X2,k3_pua2mss1(X1)),k9_relat_1(X3,k3_pua2mss1(X1)))) ) ),
inference(assume_negation,[status(cth)],[t13_relset_2]) ).
fof(c_0_12,negated_conjecture,
( v1_relat_1(esk2_0)
& v1_relat_1(esk3_0)
& ~ r1_tarski(k9_relat_1(k3_xboole_0(esk2_0,esk3_0),k3_pua2mss1(esk1_0)),k3_xboole_0(k9_relat_1(esk2_0,k3_pua2mss1(esk1_0)),k9_relat_1(esk3_0,k3_pua2mss1(esk1_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_13,plain,
! [X670] : k3_pua2mss1(X670) = k8_eqrel_1(X670,k6_partfun1(X670)),
inference(variable_rename,[status(thm)],[d2_pua2mss1]) ).
fof(c_0_14,plain,
! [X195,X196] : k4_xboole_0(X195,k4_xboole_0(X195,X196)) = k3_xboole_0(X195,X196),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(c_0_15,plain,
! [X155,X156,X157] :
( ~ r1_tarski(X155,X156)
| ~ r1_tarski(X155,X157)
| r1_tarski(X155,k3_xboole_0(X156,X157)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])]) ).
cnf(c_0_16,negated_conjecture,
~ r1_tarski(k9_relat_1(k3_xboole_0(esk2_0,esk3_0),k3_pua2mss1(esk1_0)),k3_xboole_0(k9_relat_1(esk2_0,k3_pua2mss1(esk1_0)),k9_relat_1(esk3_0,k3_pua2mss1(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
k3_pua2mss1(X1) = k8_eqrel_1(X1,k6_partfun1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( r1_tarski(X1,k3_xboole_0(X2,X3))
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X452,X453,X454] :
( ~ v1_relat_1(X453)
| ~ v1_relat_1(X454)
| ~ r1_tarski(X453,X454)
| r1_tarski(k9_relat_1(X453,X452),k9_relat_1(X454,X452)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t157_relat_1])])]) ).
fof(c_0_21,plain,
! [X86,X87] :
( ~ v1_relat_1(X87)
| ~ r1_tarski(X86,X87)
| v1_relat_1(X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])]) ).
cnf(c_0_22,negated_conjecture,
~ r1_tarski(k9_relat_1(k4_xboole_0(esk2_0,k4_xboole_0(esk2_0,esk3_0)),k8_eqrel_1(esk1_0,k6_partfun1(esk1_0))),k4_xboole_0(k9_relat_1(esk2_0,k8_eqrel_1(esk1_0,k6_partfun1(esk1_0))),k4_xboole_0(k9_relat_1(esk2_0,k8_eqrel_1(esk1_0,k6_partfun1(esk1_0))),k9_relat_1(esk3_0,k8_eqrel_1(esk1_0,k6_partfun1(esk1_0)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]),c_0_17]),c_0_18]),c_0_18]) ).
cnf(c_0_23,plain,
( r1_tarski(X1,k4_xboole_0(X2,k4_xboole_0(X2,X3)))
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2) ),
inference(rw,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_24,plain,
( r1_tarski(k9_relat_1(X1,X3),k9_relat_1(X2,X3))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X146] : k3_xboole_0(X146,k1_xboole_0) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t2_boole]) ).
cnf(c_0_27,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k4_xboole_0(esk2_0,k4_xboole_0(esk2_0,esk3_0)),k8_eqrel_1(esk1_0,k6_partfun1(esk1_0))),k9_relat_1(esk3_0,k8_eqrel_1(esk1_0,k6_partfun1(esk1_0))))
| ~ r1_tarski(k9_relat_1(k4_xboole_0(esk2_0,k4_xboole_0(esk2_0,esk3_0)),k8_eqrel_1(esk1_0,k6_partfun1(esk1_0))),k9_relat_1(esk2_0,k8_eqrel_1(esk1_0,k6_partfun1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X3,X2))
| ~ v1_relat_1(X3)
| ~ r1_tarski(X1,X3) ),
inference(csr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
v1_relat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_30,plain,
! [X1306,X1307] : r1_tarski(k4_xboole_0(X1306,X1307),X1306),
inference(variable_rename,[status(thm)],[t36_xboole_1]) ).
fof(c_0_31,plain,
! [X197,X198,X199] : k3_xboole_0(X197,k4_xboole_0(X198,X199)) = k4_xboole_0(k3_xboole_0(X197,X198),X199),
inference(variable_rename,[status(thm)],[t49_xboole_1]) ).
cnf(c_0_32,plain,
k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X1292] : k4_xboole_0(X1292,k1_xboole_0) = X1292,
inference(variable_rename,[status(thm)],[t3_boole]) ).
cnf(c_0_34,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k4_xboole_0(esk2_0,k4_xboole_0(esk2_0,esk3_0)),k8_eqrel_1(esk1_0,k6_partfun1(esk1_0))),k9_relat_1(esk2_0,k8_eqrel_1(esk1_0,k6_partfun1(esk1_0))))
| ~ r1_tarski(k4_xboole_0(esk2_0,k4_xboole_0(esk2_0,esk3_0)),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_35,negated_conjecture,
v1_relat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X1308,X1309] :
( ( k4_xboole_0(X1308,X1309) != k1_xboole_0
| r1_tarski(X1308,X1309) )
& ( ~ r1_tarski(X1308,X1309)
| k4_xboole_0(X1308,X1309) = k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])]) ).
cnf(c_0_38,plain,
k3_xboole_0(X1,k4_xboole_0(X2,X3)) = k4_xboole_0(k3_xboole_0(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k1_xboole_0)) = k1_xboole_0,
inference(rw,[status(thm)],[c_0_32,c_0_18]) ).
cnf(c_0_40,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,negated_conjecture,
~ r1_tarski(k4_xboole_0(esk2_0,k4_xboole_0(esk2_0,esk3_0)),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_35]),c_0_36])]) ).
cnf(c_0_42,plain,
( r1_tarski(X1,X2)
| k4_xboole_0(X1,X2) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X2,X3))) = k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_18]),c_0_18]) ).
cnf(c_0_44,plain,
k4_xboole_0(X1,X1) = k1_xboole_0,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_40]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU420+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n024.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 08:12:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 2.93/3.18 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.93/3.18 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 2.93/3.18 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 2.93/3.18 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 49.87/12.09 # ENIGMATIC: Solved by autoschedule:
% 49.87/12.09 # SinE strategy is gf120_h_gu_RUU_F100_L01000
% 49.87/12.09 # Trying AutoSched0 for 146 seconds
% 49.87/12.09 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 49.87/12.09 # and selection function SelectComplexExceptUniqMaxHorn.
% 49.87/12.09 #
% 49.87/12.09 # Preprocessing time : 0.447 s
% 49.87/12.09 # Presaturation interreduction done
% 49.87/12.09
% 49.87/12.09 # Proof found!
% 49.87/12.09 # SZS status Theorem
% 49.87/12.09 # SZS output start CNFRefutation
% See solution above
% 49.87/12.09 # Training examples: 0 positive, 0 negative
% 49.87/12.09
% 49.87/12.09 # -------------------------------------------------
% 49.87/12.09 # User time : 4.341 s
% 49.87/12.09 # System time : 0.283 s
% 49.87/12.09 # Total time : 4.624 s
% 49.87/12.09 # Maximum resident set size: 170044 pages
% 49.87/12.09
%------------------------------------------------------------------------------