TSTP Solution File: SWW208+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW208+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 00:01:44 EDT 2022
% Result : Theorem 10.43s 3.11s
% Output : CNFRefutation 10.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 40 ( 26 unt; 2 nHn; 32 RR)
% Number of literals : 66 ( 11 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 37 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1536,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_1536) ).
cnf(i_0_478,plain,
hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_478) ).
cnf(i_0_1545,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
| ~ class_Orderings_Oorder(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_1545) ).
cnf(i_0_757,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))))
| ~ class_Rings_Olinordered__semidom(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_757) ).
cnf(i_0_268,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk1_0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_268) ).
cnf(i_0_496,plain,
hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_496) ).
cnf(i_0_248,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_248) ).
cnf(i_0_226,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_226) ).
cnf(i_0_1429,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_1429) ).
cnf(i_0_770,plain,
( X1 = X2
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_770) ).
cnf(i_0_393,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
| ~ class_Groups_Oordered__comm__monoid__add(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_393) ).
cnf(i_0_221,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_221) ).
cnf(i_0_459,plain,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_459) ).
cnf(i_0_239,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zl83zpbq/lgb.p',i_0_239) ).
cnf(c_0_1560,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
i_0_1536 ).
cnf(c_0_1561,plain,
hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
i_0_478 ).
cnf(c_0_1562,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
| ~ class_Orderings_Oorder(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X4),X3)) ),
i_0_1545 ).
cnf(c_0_1563,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))))
| ~ class_Rings_Olinordered__semidom(X1) ),
i_0_757 ).
cnf(c_0_1564,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk1_0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
i_0_268 ).
cnf(c_0_1565,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii)))),
inference(rw,[status(thm)],[c_0_1560,c_0_1561]) ).
cnf(c_0_1566,plain,
hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
i_0_496 ).
cnf(c_0_1567,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),c_Groups_Oone__class_Oone(X1))))
| ~ class_Rings_Olinordered__semidom(X1)
| ~ class_Orderings_Oorder(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_1562,c_0_1563]) ).
cnf(c_0_1568,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
i_0_248 ).
cnf(c_0_1569,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
i_0_226 ).
cnf(c_0_1570,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1564,c_0_1561]),c_0_1561]),c_0_1565]),c_0_1566])]) ).
cnf(c_0_1571,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X2),hAPP(c_Complex_OIm,c_Complex_Oii))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1567,c_0_1561]),c_0_1568]),c_0_1569])]) ).
cnf(c_0_1572,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
i_0_1429 ).
cnf(c_0_1573,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),v_r)),
inference(spm,[status(thm)],[c_0_1570,c_0_1571]) ).
cnf(c_0_1574,plain,
( X1 = X2
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
i_0_770 ).
cnf(c_0_1575,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),v_r)),
inference(rw,[status(thm)],[c_0_1572,c_0_1566]) ).
cnf(c_0_1576,plain,
hAPP(c_Complex_ORe,c_Complex_Oii) = v_r,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1573,c_0_1574]),c_0_1575])]) ).
cnf(c_0_1577,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))
| ~ class_Groups_Oordered__comm__monoid__add(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X4))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X3)) ),
i_0_393 ).
cnf(c_0_1578,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
i_0_221 ).
cnf(c_0_1579,plain,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
i_0_459 ).
cnf(c_0_1580,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r,
inference(rw,[status(thm)],[c_0_1566,c_0_1576]) ).
cnf(c_0_1581,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
i_0_239 ).
cnf(c_0_1582,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(c_Complex_OIm,c_Complex_Oii))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1570,c_0_1577]),c_0_1578]),c_0_1566]),c_0_1575])]) ).
cnf(c_0_1583,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1579,c_0_1580]),c_0_1581])]) ).
cnf(c_0_1584,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),hAPP(c_Complex_OIm,c_Complex_Oii))),
inference(rw,[status(thm)],[c_0_1582,c_0_1576]) ).
cnf(c_0_1585,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1563,c_0_1583]),c_0_1561]),c_0_1568])]),c_0_1584]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW208+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.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 : Sat Jun 4 17:13:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.51 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.51 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.51 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.43/3.11 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.43/3.11 # No SInE strategy applied
% 10.43/3.11 # Trying AutoSched0 for 150 seconds
% 10.43/3.11 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_S0Y
% 10.43/3.11 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.43/3.11 #
% 10.43/3.11 # Preprocessing time : 0.048 s
% 10.43/3.11
% 10.43/3.11 # Proof found!
% 10.43/3.11 # SZS status Theorem
% 10.43/3.11 # SZS output start CNFRefutation
% See solution above
% 10.43/3.11 # Training examples: 0 positive, 0 negative
% 10.43/3.11
% 10.43/3.11 # -------------------------------------------------
% 10.43/3.11 # User time : 0.092 s
% 10.43/3.11 # System time : 0.006 s
% 10.43/3.11 # Total time : 0.098 s
% 10.43/3.11 # Maximum resident set size: 7412 pages
% 10.43/3.11
%------------------------------------------------------------------------------