TSTP Solution File: SWW285+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW285+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 01:24:49 EDT 2022
% Result : Theorem 33.37s 33.57s
% Output : Refutation 33.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of clauses : 27 ( 18 unt; 0 nHn; 25 RR)
% Number of literals : 41 ( 14 equ; 15 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pe) ).
cnf(51,axiom,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_r) ).
cnf(91,axiom,
( ~ class_Groups_Ozero(X)
| c_Polynomial_Odegree(X,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__0) ).
cnf(99,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))),Y) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__poly__0__left) ).
cnf(128,axiom,
( ~ class_Power_Opower(X)
| ~ class_Rings_Omult__zero(X)
| ~ class_Rings_Ono__zero__divisors(X)
| ~ class_Rings_Ozero__neq__one(X)
| hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),Z) != c_Groups_Ozero__class_Ozero(X)
| Z != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power__eq__0__iff) ).
cnf(180,axiom,
( ~ class_Rings_Oring__1__no__zero__divisors(X)
| Y = c_Groups_Ozero__class_Ozero(X)
| hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),Z) != c_Groups_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_field__power__not__zero) ).
cnf(1262,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
cnf(1263,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
cnf(1281,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
cnf(1283,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
cnf(1294,axiom,
( ~ class_Rings_Oidom(X)
| class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors) ).
cnf(1307,axiom,
( ~ class_Rings_Oidom(X)
| class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ono__zero__divisors) ).
cnf(1316,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ozero__neq__one) ).
cnf(1324,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| class_Rings_Omult__zero(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Omult__zero) ).
cnf(1330,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| class_Power_Opower(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Power_Opower) ).
cnf(1358,plain,
class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[1294,1283]) ).
cnf(1381,plain,
class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[1307,1283]) ).
cnf(1401,plain,
class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[1316,1262]) ).
cnf(1419,plain,
class_Rings_Omult__zero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[1324,1263]) ).
cnf(1431,plain,
class_Power_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference('HYPERRESOLVE',[status(thm)],[1330,1262]) ).
cnf(1671,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[91,1281]),2,theory(equality)]) ).
cnf(1672,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
inference('REWRITE',[status(thm)],[51,1671,theory(equality)]) ).
cnf(3077,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X) = v_p,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[99,1263]),2,theory(equality)]) ).
cnf(3079,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = v_p,
inference('REWRITE',[status(thm)],[1672,3077,theory(equality)]) ).
cnf(3984,plain,
v_q = v_p,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[180,3079,theory(equality)]),2,1358,theory(equality)]) ).
cnf(3985,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = v_p,
inference('REWRITE',[status(thm)],[3079,3984,theory(equality)]) ).
cnf(9303,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[128,3985,theory(equality)]),2,1401,1381,1419,1431,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW285+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 11:41:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-06-05T11:41:57
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-05T11:41:57
% 0.50/0.73
% 0.50/0.73 ; Recognized possible left identity assertion (|c_Rings_Odvd__class_Odvd| |tc_Nat_Onat| ?X ?X).
% 0.57/0.75 ; Recognized left identity assertion (= (|c_Nat_Osize__class_Osize| |tc_Nat_Onat| ?X) ?X).
% 0.57/0.75 WARNING:
% 0.57/0.75 |class_Fields_Olinordered__field__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.75 WARNING:
% 0.57/0.75 |class_Fields_Olinordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.75 WARNING:
% 0.57/0.75 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 33.37/33.57 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 33.37/33.57
% 33.37/33.57 #||
% 33.37/33.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.37/33.57 % SZS output start Refutation
% See solution above
% 33.37/33.57 ||#
% 33.37/33.57
% 33.37/33.57 ; Summary of computation:
% 33.37/33.57 ; 322343 formulas have been input or derived (from 1014 formulas).
% 33.37/33.57 ; 9303 ( 3%) were retained. Of these,
% 33.37/33.57 ; 259 ( 3%) were simplified or subsumed later,
% 33.37/33.57 ; 9044 (97%) are still being kept.
% 33.37/33.57 ;
% 33.37/33.57 ; Run time in seconds excluding printing time:
% 33.37/33.57 ; 0.234 1% Read assertion file (1 call)
% 33.37/33.57 ; 0.033 0% Assert (1,180 calls)
% 33.37/33.57 ; 1.785 5% Process new row (314,511 calls)
% 33.37/33.57 ; 5.504 17% Resolution (2,026 calls)
% 33.37/33.57 ; 0.090 0% Paramodulation (1,013 calls)
% 33.37/33.57 ; 0.000 0% Factoring (20 calls)
% 33.37/33.57 ; 0.313 1% Condensing (25,844 calls)
% 33.37/33.57 ; 5.039 15% Forward subsumption (25,844 calls)
% 33.37/33.57 ; 0.348 1% Backward subsumption (5,741 calls)
% 33.37/33.57 ; 0.388 1% Clause clause subsumption (72,157 calls)
% 33.37/33.57 ; 14.103 43% Forward simplification (303,617 calls)
% 33.37/33.57 ; 0.111 0% Backward simplification (9,258 calls)
% 33.37/33.57 ; 4.218 13% Ordering (1,170,286 calls)
% 33.37/33.57 ; 0.001 0% Sortal reasoning (32 calls)
% 33.37/33.57 ; 0.004 0% Purity testing (1 call)
% 33.37/33.57 ; 0.916 3% Other
% 33.37/33.57 ; 33.087 Total
% 33.37/33.57 ; 33.095 Real time
% 33.37/33.57 ;
% 33.37/33.57 ; Term-hash-array has 21,822 terms in all.
% 33.37/33.57 ; Feature-vector-row-index has 5,657 entries (5,657 at peak, 5,741 added, 84 deleted).
% 33.37/33.57 ; Feature-vector-row-index has 33,701 nodes (33,701 at peak, 34,514 added, 813 deleted).
% 33.37/33.57 ; Retrieved 147,400 possibly forward subsuming rows in 25,844 calls.
% 33.37/33.57 ; Retrieved 8,835 possibly backward subsumed rows in 5,741 calls.
% 33.37/33.57 ; Path-index has 21,416 entries (21,416 at peak, 21,909 added, 493 deleted).
% 33.37/33.57 ; Path-index has 38,427 nodes (38,427 at peak, 39,029 added, 602 deleted).
% 33.37/33.57 ; Trie-index has 21,416 entries (21,416 at peak, 21,909 added, 493 deleted).
% 33.37/33.57 ; Trie-index has 151,931 nodes (151,931 at peak, 155,210 added, 3,279 deleted).
% 33.37/33.57 ; Retrieved 2,567,512 generalization terms in 3,469,945 calls.
% 33.37/33.57 ; Retrieved 10,003 instance terms in 6,538 calls.
% 33.37/33.57 ; Retrieved 7,668,596 unifiable terms in 33,666 calls.
% 33.37/33.57 ;
% 33.37/33.57 ; The agenda of rows to process has 5 entries:
% 33.37/33.57 ; 1 with value 38 1 with value 45 1 with value 48
% 33.37/33.57 ; 1 with value 41 1 with value 46
% 33.37/33.57 ; The agenda of input rows to give has 271 entries:
% 33.37/33.57 ; 45 with value 31 8 with value 41 3 with value 53
% 33.37/33.57 ; 34 with value 32 4 with value 42 2 with value 54
% 33.37/33.57 ; 47 with value 33 9 with value 43 1 with value 56
% 33.37/33.57 ; 9 with value 34 1 with value 44 7 with value 57
% 33.37/33.57 ; 20 with value 35 13 with value 45 1 with value 58
% 33.37/33.57 ; 8 with value 36 3 with value 46 5 with value 62
% 33.37/33.57 ; 6 with value 37 4 with value 47 3 with value 65
% 33.37/33.57 ; 9 with value 38 9 with value 48 1 with value 66
% 33.37/33.57 ; 13 with value 39 1 with value 49 1 with value 69
% 33.37/33.57 ; 3 with value 40 1 with value 51
% 33.37/33.57 ; The agenda of rows to give has 7774 entries:
% 33.37/33.57 ; 3 with value (4 4) 168 with value (4 29) 94 with value (4 54)
% 33.37/33.57 ; 1 with value (4 5) 183 with value (4 30) 97 with value (4 55)
% 33.37/33.57 ; 103 with value (4 6) 180 with value (4 31) 47 with value (4 56)
% 33.37/33.57 ; 1 with value (4 7) 196 with value (4 32) 192 with value (4 57)
% 33.37/33.57 ; 11 with value (4 8) 139 with value (4 33) 146 with value (4 58)
% 33.37/33.57 ; 23 with value (4 9) 176 with value (4 34) 90 with value (4 59)
% 33.37/33.57 ; 20 with value (4 10) 218 with value (4 35) 48 with value (4 60)
% 33.37/33.57 ; 44 with value (4 11) 284 with value (4 36) 19 with value (4 61)
% 33.37/33.57 ; 39 with value (4 12) 277 with value (4 37) 16 with value (4 62)
% 33.37/33.57 ; 81 with value (4 13) 217 with value (4 38) 10 with value (4 63)
% 33.37/33.57 ; 72 with value (4 14) 164 with value (4 39) 17 with value (4 64)
% 33.37/33.57 ; 117 with value (4 15) 157 with value (4 40) 4 with value (4 65)
% 33.37/33.57 ; 91 with value (4 16) 117 with value (4 41) 15 with value (4 66)
% 33.37/33.57 ; 108 with value (4 17) 196 with value (4 42) 2 with value (4 67)
% 33.37/33.57 ; 119 with value (4 18) 184 with value (4 43) 10 with value (4 68)
% 33.37/33.57 ; 143 with value (4 19) 220 with value (4 44) 18 with value (4 69)
% 33.37/33.57 ; 138 with value (4 20) 159 with value (4 45) 12 with value (4 70)
% 33.37/33.57 ; 117 with value (4 21) 142 with value (4 46) 8 with value (4 71)
% 33.37/33.57 ; 160 with value (4 22) 282 with value (4 47) 2 with value (4 72)
% 33.37/33.57 ; 130 with value (4 23) 197 with value (4 48) 4 with value (4 73)
% 33.37/33.57 ; 204 with value (4 24) 240 with value (4 49) 2 with value (4 79)
% 33.37/33.57 ; 165 with value (4 25) 173 with value (4 50) 4 with value (4 82)
% 33.37/33.57 ; 239 with value (4 26) 82 with value (4 51) 4 with value (4 85)
% 33.37/33.57 ; 149 with value (4 27) 86 with value (4 52) 4 with value (4 87)
% 33.37/33.57 ; 154 with value (4 28) 32 with value (4 53) 8 with value (4 93)
% 33.37/33.57 Evaluation took:
% 33.37/33.57 33.098 seconds of real time
% 33.37/33.57 30.37214 seconds of user run time
% 33.37/33.57 2.719989 seconds of system run time
% 33.37/33.57 [Run times include 4.269 seconds GC run time.]
% 33.37/33.57 0 calls to %EVAL
% 33.37/33.57 0 page faults and
% 33.37/33.57 2,701,315,696 bytes consed.
% 33.37/33.57 :PROOF-FOUND
% 33.37/33.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T11:42:30
% 33.37/33.57 :PROOF-FOUND
% 33.37/33.57 *
%------------------------------------------------------------------------------