TSTP Solution File: SWW232+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW232+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 01:24:44 EDT 2022
% Result : Theorem 14.35s 14.55s
% Output : Refutation 14.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 12 unt; 2 nHn; 11 RR)
% Number of literals : 25 ( 7 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H) ).
cnf(4,axiom,
( v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,'SKOLEMAAAV2'(X,Y),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,Z))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,Y,v_cs____)),Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pCons_Ohyps) ).
cnf(5,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,'SKOLEMAAAV2'(X,Y),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,Z))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,Y,v_cs____)),Z))) ),
inference('REWRITE',[status(thm)],[4,2]) ).
cnf(97,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| c_Groups_Oplus__class_Oplus(X,Y,Z) = c_Groups_Oplus__class_Oplus(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
cnf(694,axiom,
( ~ class_Groups_Ogroup__add(X)
| c_Groups_Ominus__class_Ominus(X,Y,c_Groups_Ouminus__class_Ouminus(X,Z)) = c_Groups_Oplus__class_Oplus(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__minus__eq__add) ).
cnf(1290,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
cnf(1302,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
cnf(1408,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,'SKOLEMAAAV38'(X)))
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1409,hypothesis,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),'SKOLEMAAAV38'(X))))
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1410,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
cnf(1411,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,'SKOLEMAAAV38'(X))),
inference('REWRITE',[status(thm)],[1408,1410]) ).
cnf(1412,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),'SKOLEMAAAV38'(X)))),
inference('REWRITE',[status(thm)],[1409,1410]) ).
cnf(1846,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,Y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,Y,X),
inference('HYPERRESOLVE',[status(thm)],[97,1290]) ).
cnf(2705,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,Y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,Y),
inference('HYPERRESOLVE',[status(thm)],[694,1302]) ).
cnf(2711,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_da____,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),'SKOLEMAAAV38'(X)))),
inference('REWRITE',[status(thm)],[1412,2705,theory(equality)]) ).
cnf(2743,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,Y)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,Y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X)),
inference('REWRITE',[status(thm)],[1846,2705,theory(equality)]) ).
cnf(2746,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_da____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),'SKOLEMAAAV38'(X)))),
inference('REWRITE',[status(thm)],[2711,2743,theory(equality)]) ).
cnf(7866,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[5,1411,2746]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW232+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 4 13:34:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T13:34:51
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-04T13:34:51
% 0.46/0.72
% 0.46/0.72 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.54/0.74 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.54/0.75 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.54/0.75 WARNING:
% 0.54/0.75 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 14.35/14.55 ; Recognized possible left identity assertion (|c_Rings_Odvd__class_Odvd| |tc_Nat_Onat| ?X ?X).
% 14.35/14.55
% 14.35/14.55 #||
% 14.35/14.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.35/14.55 % SZS output start Refutation
% See solution above
% 14.35/14.57 ||#
% 14.35/14.57
% 14.35/14.57 ; Summary of computation:
% 14.35/14.57 ; 182306 formulas have been input or derived (from 1054 formulas).
% 14.35/14.57 ; 7866 ( 4%) were retained. Of these,
% 14.35/14.57 ; 1690 (21%) were simplified or subsumed later,
% 14.35/14.57 ; 6176 (79%) are still being kept.
% 14.35/14.57 ;
% 14.35/14.57 ; Run time in seconds excluding printing time:
% 14.35/14.57 ; 0.225 2% Read assertion file (1 call)
% 14.35/14.57 ; 0.034 0% Assert (1,254 calls)
% 14.35/14.57 ; 1.063 8% Process new row (172,377 calls)
% 14.35/14.57 ; 4.075 29% Resolution (2,106 calls)
% 14.35/14.57 ; 0.051 0% Paramodulation (1,053 calls)
% 14.35/14.57 ; 0.000 0% Factoring (14 calls)
% 14.35/14.57 ; 0.211 2% Condensing (14,547 calls)
% 14.35/14.57 ; 1.078 8% Forward subsumption (14,547 calls)
% 14.35/14.57 ; 0.238 2% Backward subsumption (3,841 calls)
% 14.35/14.57 ; 0.254 2% Clause clause subsumption (36,583 calls)
% 14.35/14.57 ; 5.053 36% Forward simplification (164,933 calls)
% 14.35/14.57 ; 0.206 1% Backward simplification (7,835 calls)
% 14.35/14.57 ; 1.067 8% Ordering (329,070 calls)
% 14.35/14.57 ; 0.000 0% Sortal reasoning (32 calls)
% 14.35/14.57 ; 0.003 0% Purity testing (1 call)
% 14.35/14.57 ; 0.507 4% Other
% 14.35/14.57 ; 14.065 Total
% 14.35/14.57 ; 14.088 Real time
% 14.35/14.57 ;
% 14.35/14.57 ; Term-hash-array has 15,011 terms in all.
% 14.35/14.57 ; Feature-vector-row-index has 3,083 entries (3,083 at peak, 3,841 added, 758 deleted).
% 14.35/14.57 ; Feature-vector-row-index has 23,432 nodes (23,432 at peak, 27,822 added, 4,390 deleted).
% 14.35/14.57 ; Retrieved 57,159 possibly forward subsuming rows in 14,547 calls.
% 14.35/14.57 ; Retrieved 4,634 possibly backward subsumed rows in 3,841 calls.
% 14.35/14.57 ; Path-index has 12,333 entries (12,333 at peak, 15,317 added, 2,984 deleted).
% 14.35/14.57 ; Path-index has 32,697 nodes (32,697 at peak, 35,810 added, 3,113 deleted).
% 14.35/14.57 ; Trie-index has 12,333 entries (12,333 at peak, 15,317 added, 2,984 deleted).
% 14.35/14.57 ; Trie-index has 66,895 nodes (66,895 at peak, 82,433 added, 15,538 deleted).
% 14.35/14.57 ; Retrieved 869,606 generalization terms in 1,339,908 calls.
% 14.35/14.57 ; Retrieved 11,183 instance terms in 5,091 calls.
% 14.35/14.57 ; Retrieved 5,577,995 unifiable terms in 59,306 calls.
% 14.35/14.57 ;
% 14.35/14.57 ; The agenda of rows to process has 3 entries:
% 14.35/14.57 ; 1 with value 21 1 with value 22 1 with value 29
% 14.35/14.57 ; The agenda of input rows to give has 380 entries:
% 14.35/14.57 ; 41 with value 28 14 with value 39 2 with value 51
% 14.35/14.57 ; 19 with value 29 9 with value 40 2 with value 53
% 14.35/14.57 ; 32 with value 30 10 with value 41 1 with value 56
% 14.35/14.57 ; 59 with value 31 6 with value 42 1 with value 57
% 14.35/14.57 ; 31 with value 32 4 with value 43 3 with value 58
% 14.35/14.57 ; 41 with value 33 2 with value 44 1 with value 63
% 14.35/14.57 ; 22 with value 34 9 with value 45 3 with value 70
% 14.35/14.57 ; 18 with value 35 5 with value 46 2 with value 73
% 14.35/14.57 ; 7 with value 36 1 with value 47 8 with value 75
% 14.35/14.57 ; 8 with value 37 8 with value 48 2 with value 77
% 14.35/14.57 ; 9 with value 38
% 14.35/14.57 ; The agenda of rows to give has 4824 entries:
% 14.35/14.57 ; 3 with value (4 4) 126 with value (4 36) 14 with value (4 66)
% 14.35/14.57 ; 168 with value (4 6) 116 with value (4 37) 10 with value (4 67)
% 14.35/14.57 ; 13 with value (4 7) 79 with value (4 38) 6 with value (4 68)
% 14.35/14.57 ; 13 with value (4 8) 96 with value (4 39) 1 with value (4 69)
% 14.35/14.57 ; 37 with value (4 9) 84 with value (4 40) 8 with value (4 70)
% 14.35/14.57 ; 36 with value (4 10) 67 with value (4 41) 6 with value (4 71)
% 14.35/14.57 ; 44 with value (4 11) 67 with value (4 42) 5 with value (4 72)
% 14.35/14.57 ; 66 with value (4 12) 80 with value (4 43) 1 with value (4 74)
% 14.35/14.57 ; 104 with value (4 13) 58 with value (4 44) 7 with value (4 75)
% 14.35/14.57 ; 141 with value (4 14) 63 with value (4 45) 4 with value (4 76)
% 14.35/14.57 ; 147 with value (4 15) 46 with value (4 46) 4 with value (4 77)
% 14.35/14.57 ; 118 with value (4 16) 48 with value (4 47) 8 with value (4 79)
% 14.35/14.57 ; 102 with value (4 17) 48 with value (4 48) 8 with value (4 80)
% 14.35/14.57 ; 106 with value (4 18) 30 with value (4 49) 5 with value (4 82)
% 14.35/14.57 ; 148 with value (4 19) 29 with value (4 50) 8 with value (4 83)
% 14.35/14.57 ; 137 with value (4 20) 45 with value (4 51) 3 with value (4 84)
% 14.35/14.57 ; 103 with value (4 21) 26 with value (4 52) 5 with value (4 86)
% 14.35/14.57 ; 127 with value (4 22) 45 with value (4 53) 4 with value (4 89)
% 14.35/14.57 ; 154 with value (4 23) 41 with value (4 54) 1 with value (4 90)
% 14.35/14.57 ; 140 with value (4 24) 41 with value (4 55) 6 with value (4 91)
% 14.35/14.57 ; 154 with value (4 25) 26 with value (4 56) 3 with value (4 93)
% 14.35/14.57 ; 150 with value (4 26) 30 with value (4 57) 2 with value (4 96)
% 14.35/14.57 ; 126 with value (4 27) 25 with value (4 58) 2 with value (4 102)
% 14.35/14.57 ; 132 with value (4 28) 28 with value (4 59) 2 with value (4 110)
% 14.35/14.57 ; 94 with value (4 29) 6 with value (4 60) 2 with value (4 117)
% 14.35/14.57 ; 146 with value (4 30) 8 with value (4 61) 4 with value (4 121)
% 14.35/14.57 ; 121 with value (4 31) 7 with value (4 62) 1 with value (4 124)
% 14.35/14.57 ; 103 with value (4 32) 7 with value (4 63) 4 with value (4 127)
% 14.35/14.57 ; 81 with value (4 33) 10 with value (4 64) 4 with value (4 154)
% 14.35/14.57 ; 123 with value (4 34) 6 with value (4 65) 4 with value (4 159)
% 14.35/14.57 ; 157 with value (4 35)
% 14.35/14.57 Evaluation took:
% 14.35/14.57 14.09 seconds of real time
% 14.35/14.57 12.891713 seconds of user run time
% 14.35/14.57 1.197768 seconds of system run time
% 14.35/14.57 [Run times include 1.554 seconds GC run time.]
% 14.35/14.57 0 calls to %EVAL
% 14.35/14.57 0 page faults and
% 14.35/14.57 1,108,438,536 bytes consed.
% 14.35/14.57 :PROOF-FOUND
% 14.35/14.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T13:35:05
% 14.35/14.57 :PROOF-FOUND
% 14.35/14.57 *
%------------------------------------------------------------------------------