TSTP Solution File: SWW196+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW196+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 01:24:40 EDT 2022
% Result : Theorem 0.78s 0.99s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 13 unt; 0 nHn; 10 RR)
% Number of literals : 17 ( 13 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),'SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_Am_O_An_A_061_A2_A_K_Am_096) ).
cnf(44,axiom,
c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__is__id) ).
cnf(77,axiom,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__2) ).
cnf(135,axiom,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(X),Y) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,Y,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__Suc) ).
cnf(949,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__is__num__one) ).
cnf(950,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_OBit1(c_Int_OPls),
inference('REWRITE',[status(thm)],[949,44,theory(equality)]) ).
cnf(1062,axiom,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__1) ).
cnf(1070,axiom,
c_Nat_OSuc(X) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).
cnf(1089,axiom,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__1__add__1) ).
cnf(1090,plain,
c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference('REWRITE',[status(thm)],[1089,950,1070,theory(equality)]) ).
cnf(1590,hypothesis,
( v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1591,plain,
( v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,X)
| v_thesis____ ),
inference('REWRITE',[status(thm)],[1590,1062,135,1090,950,theory(equality)]) ).
cnf(1592,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
cnf(1593,plain,
v_na____ != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,X),
inference('REWRITE',[status(thm)],[1591,1592]) ).
cnf(1680,plain,
$false,
inference('REWRITE',[status(thm)],[1,1593,77,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW196+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.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 : Mon Jun 6 01:52:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T01:52:49
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-06T01:52:49
% 0.48/0.70
% 0.48/0.70 ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 0.56/0.73 ; Recognized possible left identity assertion (|c_Rings_Odvd__class_Odvd| |tc_Nat_Onat| ?X ?X).
% 0.56/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.56/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.56/0.74 WARNING:
% 0.56/0.74 |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.56/0.74 WARNING:
% 0.56/0.74 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.78/0.99 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.78/0.99
% 0.78/0.99 #||
% 0.78/0.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.99 % SZS output start Refutation
% See solution above
% 0.78/0.99 ||#
% 0.78/0.99
% 0.78/0.99 ; Summary of computation:
% 0.78/0.99 ; 1998 formulas have been input or derived (from 1 formulas).
% 0.78/0.99 ; 1680 (84%) were retained. Of these,
% 0.78/0.99 ; 365 (22%) were simplified or subsumed later,
% 0.78/0.99 ; 1315 (78%) are still being kept.
% 0.78/0.99 ;
% 0.78/0.99 ; Run time in seconds excluding printing time:
% 0.78/0.99 ; 0.215 42% Read assertion file (1 call)
% 0.78/0.99 ; 0.033 6% Assert (1,172 calls)
% 0.78/0.99 ; 0.088 17% Process new row (1,752 calls)
% 0.78/0.99 ; 0.032 6% Condensing (1,365 calls)
% 0.78/0.99 ; 0.020 4% Forward subsumption (1,365 calls)
% 0.78/0.99 ; 0.031 6% Backward subsumption (1,100 calls)
% 0.78/0.99 ; 0.010 2% Clause clause subsumption (1,395 calls)
% 0.78/0.99 ; 0.046 9% Forward simplification (1,744 calls)
% 0.78/0.99 ; 0.009 2% Backward simplification (1,438 calls)
% 0.78/0.99 ; 0.001 0% Ordering (184 calls)
% 0.78/0.99 ; 0.000 0% Sortal reasoning (32 calls)
% 0.78/0.99 ; 0.004 1% Purity testing (1 call)
% 0.78/0.99 ; 0.027 5% Other
% 0.78/0.99 ; 0.516 Total
% 0.78/0.99 ; 0.518 Real time
% 0.78/0.99 ;
% 0.78/0.99 ; Term-hash-array has 1,981 terms in all.
% 0.78/0.99 ; Feature-vector-row-index has 992 entries (992 at peak, 1,100 added, 108 deleted).
% 0.78/0.99 ; Feature-vector-row-index has 4,648 nodes (4,648 at peak, 5,664 added, 1,016 deleted).
% 0.78/0.99 ; Retrieved 1,637 possibly forward subsuming rows in 1,365 calls.
% 0.78/0.99 ; Retrieved 598 possibly backward subsumed rows in 1,100 calls.
% 0.78/0.99 ; Path-index has 1,817 entries (1,817 at peak, 2,022 added, 205 deleted).
% 0.78/0.99 ; Path-index has 4,708 nodes (4,708 at peak, 5,082 added, 374 deleted).
% 0.78/0.99 ; Trie-index has 1,817 entries (1,817 at peak, 2,022 added, 205 deleted).
% 0.78/0.99 ; Trie-index has 6,057 nodes (6,057 at peak, 7,319 added, 1,262 deleted).
% 0.78/0.99 ; Retrieved 1,698 generalization terms in 8,132 calls.
% 0.78/0.99 ; Retrieved 599 instance terms in 356 calls.
% 0.78/0.99 ;
% 0.78/0.99 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.78/0.99 ; 1 with value 0
% 0.78/0.99 ; The agenda of input rows to give has 1314 entries:
% 0.78/0.99 ; 1 with value 1 59 with value 18 16 with value 34
% 0.78/0.99 ; 170 with value 3 43 with value 19 10 with value 35
% 0.78/0.99 ; 3 with value 4 58 with value 20 1 with value 36
% 0.78/0.99 ; 11 with value 5 67 with value 21 6 with value 37
% 0.78/0.99 ; 12 with value 6 49 with value 22 6 with value 38
% 0.78/0.99 ; 13 with value 7 29 with value 23 19 with value 39
% 0.78/0.99 ; 13 with value 8 61 with value 24 2 with value 40
% 0.78/0.99 ; 20 with value 9 30 with value 25 6 with value 42
% 0.78/0.99 ; 28 with value 10 19 with value 26 9 with value 43
% 0.78/0.99 ; 29 with value 11 76 with value 27 14 with value 44
% 0.78/0.99 ; 63 with value 12 22 with value 28 2 with value 45
% 0.78/0.99 ; 63 with value 13 13 with value 29 3 with value 47
% 0.78/0.99 ; 62 with value 14 12 with value 30 3 with value 52
% 0.78/0.99 ; 45 with value 15 13 with value 31 1 with value 54
% 0.78/0.99 ; 49 with value 16 15 with value 32 2 with value 56
% 0.78/0.99 ; 57 with value 17 9 with value 33
% 0.78/0.99 Evaluation took:
% 0.78/0.99 0.519 seconds of real time
% 0.78/0.99 0.493726 seconds of user run time
% 0.78/0.99 0.025039 seconds of system run time
% 0.78/0.99 [Run times include 0.021 seconds GC run time.]
% 0.78/0.99 0 calls to %EVAL
% 0.78/0.99 0 page faults and
% 0.78/0.99 36,832,424 bytes consed.
% 0.78/0.99 :PROOF-FOUND
% 0.78/0.99 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T01:52:50
% 0.78/0.99 :PROOF-FOUND
% 0.78/0.99 *
%------------------------------------------------------------------------------