%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW272+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 01:24:48 EDT 2022
% Result : Theorem 3.22s 3.38s
% Output : Refutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 13 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pne) ).
cnf(80,axiom,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s) ).
cnf(236,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X)) = c_Polynomial_OpCons(X,c_Groups_Oone__class_Oone(X),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__poly__def) ).
cnf(244,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X)),Y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__poly__0__right) ).
cnf(926,axiom,
( ~ class_Groups_Ozero(X)
| c_Polynomial_OpCons(X,Y,Z) = c_Polynomial_OAbs__poly(X,c_Nat_Onat_Onat__case(X,Y,c_Polynomial_Ocoeff(X,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pCons__def) ).
cnf(1228,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
cnf(1229,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
cnf(1248,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
cnf(1311,negated_conjecture,
v_s____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1312,plain,
v_pa____ != v_s____,
inference('REWRITE',[status(thm)],[2,1311,theory(equality)]) ).
cnf(1314,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference('REWRITE',[status(thm)],[80,1311,theory(equality)]) ).
cnf(2535,plain,
c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[236,1228]),1311,theory(equality)]) ).
cnf(2536,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference('REWRITE',[status(thm)],[1314,2535,theory(equality)]) ).
cnf(3911,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,X,Y) = c_Polynomial_OAbs__poly(tc_Complex_Ocomplex,c_Nat_Onat_Onat__case(tc_Complex_Ocomplex,X,c_Polynomial_Ocoeff(tc_Complex_Ocomplex,Y))),
inference('HYPERRESOLVE',[status(thm)],[926,1248]) ).
cnf(3921,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OAbs__poly(tc_Complex_Ocomplex,c_Nat_Onat_Onat__case(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference('REWRITE',[status(thm)],[2536,3911,theory(equality)]) ).
cnf(4197,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X),v_s____) = v_s____,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[244,1229]),1311,theory(equality)]) ).
cnf(4198,plain,
$false,
inference('REWRITE',[status(thm)],[3921,1312,4197,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW272+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n020.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 : Mon Jun 6 06:41:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T06:41:52
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-06T06:41:52
% 0.59/0.75
% 0.59/0.76 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.60/0.77 WARNING:
% 0.60/0.77 |c_Orderings_Oorder_Omono| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.77 WARNING:
% 0.60/0.77 |class_Fields_Olinordered__field__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.77 WARNING:
% 0.60/0.77 |class_Fields_Olinordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.77 WARNING:
% 0.60/0.77 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.77 WARNING:
% 0.60/0.77 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 3.22/3.38 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 3.22/3.38
% 3.22/3.38 #||
% 3.22/3.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/3.38 % SZS output start Refutation
% See solution above
% 3.22/3.38 ||#
% 3.22/3.38
% 3.22/3.38 ; Summary of computation:
% 3.22/3.38 ; 35285 formulas have been input or derived (from 666 formulas).
% 3.22/3.38 ; 4198 (12%) were retained. Of these,
% 3.22/3.38 ; 193 ( 5%) were simplified or subsumed later,
% 3.22/3.38 ; 4005 (95%) are still being kept.
% 3.22/3.38 ;
% 3.22/3.38 ; Run time in seconds excluding printing time:
% 3.22/3.38 ; 0.230 8% Read assertion file (1 call)
% 3.22/3.38 ; 0.035 1% Assert (1,206 calls)
% 3.22/3.38 ; 0.332 11% Process new row (31,511 calls)
% 3.22/3.38 ; 0.896 31% Resolution (1,330 calls)
% 3.22/3.38 ; 0.026 1% Paramodulation (665 calls)
% 3.22/3.38 ; 0.000 0% Factoring (9 calls)
% 3.22/3.38 ; 0.141 5% Condensing (7,908 calls)
% 3.22/3.38 ; 0.280 10% Forward subsumption (7,908 calls)
% 3.22/3.38 ; 0.095 3% Backward subsumption (2,026 calls)
% 3.22/3.38 ; 0.093 3% Clause clause subsumption (13,936 calls)
% 3.22/3.38 ; 0.539 19% Forward simplification (31,466 calls)
% 3.22/3.38 ; 0.033 1% Backward simplification (4,169 calls)
% 3.22/3.38 ; 0.082 3% Ordering (30,306 calls)
% 3.22/3.38 ; 0.000 0% Sortal reasoning (32 calls)
% 3.22/3.38 ; 0.003 0% Purity testing (1 call)
% 3.22/3.38 ; 0.107 4% Other
% 3.22/3.38 ; 2.892 Total
% 3.22/3.38 ; 2.894 Real time
% 3.22/3.38 ;
% 3.22/3.38 ; Term-hash-array has 7,603 terms in all.
% 3.22/3.38 ; Feature-vector-row-index has 1,995 entries (1,995 at peak, 2,026 added, 31 deleted).
% 3.22/3.38 ; Feature-vector-row-index has 10,138 nodes (10,138 at peak, 10,443 added, 305 deleted).
% 3.22/3.38 ; Retrieved 21,840 possibly forward subsuming rows in 7,908 calls.
% 3.22/3.38 ; Retrieved 1,278 possibly backward subsumed rows in 2,026 calls.
% 3.22/3.38 ; Path-index has 7,290 entries (7,292 at peak, 7,670 added, 380 deleted).
% 3.22/3.38 ; Path-index has 15,680 nodes (15,680 at peak, 16,130 added, 450 deleted).
% 3.22/3.38 ; Trie-index has 7,290 entries (7,292 at peak, 7,670 added, 380 deleted).
% 3.22/3.38 ; Trie-index has 33,069 nodes (33,071 at peak, 34,945 added, 1,876 deleted).
% 3.22/3.38 ; Retrieved 109,085 generalization terms in 155,108 calls.
% 3.22/3.38 ; Retrieved 3,917 instance terms in 2,542 calls.
% 3.22/3.38 ; Retrieved 1,377,773 unifiable terms in 25,848 calls.
% 3.22/3.38 ;
% 3.22/3.38 ; The agenda of rows to process has 3 entries:
% 3.22/3.38 ; 3 with value 19
% 3.22/3.38 ; The agenda of input rows to give has 596 entries:
% 3.22/3.38 ; 43 with value 21 43 with value 33 13 with value 45
% 3.22/3.38 ; 42 with value 22 5 with value 34 3 with value 46
% 3.22/3.38 ; 30 with value 23 9 with value 35 7 with value 47
% 3.22/3.38 ; 39 with value 24 8 with value 36 7 with value 48
% 3.22/3.38 ; 42 with value 25 11 with value 37 2 with value 49
% 3.22/3.38 ; 20 with value 26 13 with value 38 2 with value 50
% 3.22/3.38 ; 32 with value 27 14 with value 39 4 with value 51
% 3.22/3.38 ; 30 with value 28 18 with value 40 2 with value 58
% 3.22/3.38 ; 16 with value 29 8 with value 41 2 with value 71
% 3.22/3.38 ; 23 with value 30 2 with value 42 6 with value 75
% 3.22/3.38 ; 50 with value 31 6 with value 43 3 with value 80
% 3.22/3.38 ; 36 with value 32 2 with value 44 3 with value 83
% 3.22/3.38 ; The agenda of rows to give has 2743 entries:
% 3.22/3.38 ; 3 with value (4 4) 117 with value (4 22) 52 with value (4 39)
% 3.22/3.38 ; 112 with value (4 6) 128 with value (4 23) 20 with value (4 40)
% 3.22/3.38 ; 22 with value (4 7) 204 with value (4 24) 9 with value (4 41)
% 3.22/3.38 ; 21 with value (4 8) 143 with value (4 25) 13 with value (4 42)
% 3.22/3.38 ; 26 with value (4 9) 181 with value (4 26) 10 with value (4 43)
% 3.22/3.38 ; 55 with value (4 10) 84 with value (4 27) 4 with value (4 44)
% 3.22/3.38 ; 50 with value (4 11) 91 with value (4 28) 11 with value (4 45)
% 3.22/3.38 ; 94 with value (4 12) 89 with value (4 29) 3 with value (4 47)
% 3.22/3.38 ; 111 with value (4 13) 17 with value (4 30) 11 with value (4 48)
% 3.22/3.38 ; 92 with value (4 14) 23 with value (4 31) 7 with value (4 49)
% 3.22/3.38 ; 143 with value (4 15) 23 with value (4 32) 1 with value (4 50)
% 3.22/3.38 ; 84 with value (4 16) 23 with value (4 33) 1 with value (4 51)
% 3.22/3.38 ; 153 with value (4 17) 5 with value (4 34) 1 with value (4 52)
% 3.22/3.38 ; 121 with value (4 18) 10 with value (4 35) 1 with value (4 53)
% 3.22/3.38 ; 128 with value (4 19) 5 with value (4 36) 2 with value (4 58)
% 3.22/3.38 ; 137 with value (4 20) 11 with value (4 37) 1 with value (4 61)
% 3.22/3.38 ; 82 with value (4 21) 8 with value (4 38)
% 3.22/3.38 Evaluation took:
% 3.22/3.38 2.895 seconds of real time
% 3.22/3.38 2.666069 seconds of user run time
% 3.22/3.38 0.229517 seconds of system run time
% 3.22/3.38 [Run times include 0.245 seconds GC run time.]
% 3.22/3.38 0 calls to %EVAL
% 3.22/3.38 0 page faults and
% 3.22/3.38 219,233,912 bytes consed.
% 3.22/3.38 :PROOF-FOUND
% 3.22/3.38 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T06:41:55
% 3.22/3.39 :PROOF-FOUND
% 3.22/3.39 *
%------------------------------------------------------------------------------