TSTP Solution File: SWW216+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW216+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 01:24:42 EDT 2022
% Result : Theorem 11.12s 11.32s
% Output : Refutation 11.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 3 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_m_I1_J) ).
cnf(3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I3_J) ).
cnf(51,axiom,
( ~ class_Fields_Olinordered__field(X)
| ~ c_Orderings_Oord__class_Oless(X,c_Groups_Ozero__class_Ozero(X),Y)
| ~ c_Orderings_Oord__class_Oless(X,Z,c_Rings_Oinverse__class_Odivide(X,U,Y))
| c_Orderings_Oord__class_Oless(X,hAPP(c_Groups_Otimes__class_Otimes(X,Z),Y),U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__less__divide__eq) ).
cnf(355,axiom,
( ~ class_Fields_Ofield__inverse__zero(X)
| c_Rings_Oinverse__class_Oinverse(X,c_Rings_Oinverse__class_Odivide(X,Y,Z)) = c_Rings_Oinverse__class_Odivide(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_inverse__divide) ).
cnf(449,axiom,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X,Y) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__real__def) ).
cnf(1427,axiom,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Ofield__inverse__zero) ).
cnf(1432,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
cnf(1542,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1590,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_e),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,v_m____))),
inference('REWRITE',[status(thm)],[3,449,theory(equality)]) ).
cnf(2414,plain,
c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,Y))) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,Y),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[355,1427]),449,theory(equality)]) ).
cnf(2421,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,v_e)))),
inference('REWRITE',[status(thm)],[1590,2414,theory(equality)]) ).
cnf(8907,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[51,1432,2,1542]),2421,2414,449,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWW216+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Mon Jun 6 08:37:34 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T08:37:34
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-06T08:37:34
% 0.60/0.76
% 0.60/0.78 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.60/0.78 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.60/0.79 ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 0.60/0.80 WARNING:
% 0.60/0.80 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.80 WARNING:
% 0.60/0.80 |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.60/0.80 WARNING:
% 0.60/0.80 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 11.12/11.32 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 11.12/11.32
% 11.12/11.32 #||
% 11.12/11.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.12/11.32 % SZS output start Refutation
% See solution above
% 11.12/11.32 ||#
% 11.12/11.32
% 11.12/11.32 ; Summary of computation:
% 11.12/11.32 ; 87722 formulas have been input or derived (from 1200 formulas).
% 11.12/11.32 ; 8907 (10%) were retained. Of these,
% 11.12/11.32 ; 610 ( 7%) were simplified or subsumed later,
% 11.12/11.32 ; 8297 (93%) are still being kept.
% 11.12/11.32 ;
% 11.12/11.32 ; Run time in seconds excluding printing time:
% 11.12/11.32 ; 0.227 2% Read assertion file (1 call)
% 11.12/11.32 ; 0.033 0% Assert (1,250 calls)
% 11.12/11.32 ; 0.976 9% Process new row (78,180 calls)
% 11.12/11.32 ; 3.511 33% Resolution (2,398 calls)
% 11.12/11.32 ; 0.111 1% Paramodulation (1,199 calls)
% 11.12/11.32 ; 0.000 0% Factoring (17 calls)
% 11.12/11.32 ; 0.225 2% Condensing (19,170 calls)
% 11.12/11.32 ; 1.359 13% Forward subsumption (19,170 calls)
% 11.12/11.32 ; 0.334 3% Backward subsumption (4,628 calls)
% 11.12/11.32 ; 0.327 3% Clause clause subsumption (39,960 calls)
% 11.12/11.32 ; 2.561 24% Forward simplification (78,158 calls)
% 11.12/11.32 ; 0.101 1% Backward simplification (8,783 calls)
% 11.12/11.32 ; 0.748 7% Ordering (181,451 calls)
% 11.12/11.32 ; 0.000 0% Sortal reasoning (32 calls)
% 11.12/11.32 ; 0.004 0% Purity testing (1 call)
% 11.12/11.32 ; 0.284 3% Other
% 11.12/11.32 ; 10.801 Total
% 11.12/11.32 ; 10.803 Real time
% 11.12/11.32 ;
% 11.12/11.33 ; Term-hash-array has 14,812 terms in all.
% 11.12/11.33 ; Feature-vector-row-index has 4,432 entries (4,432 at peak, 4,628 added, 196 deleted).
% 11.12/11.33 ; Feature-vector-row-index has 24,406 nodes (24,406 at peak, 26,124 added, 1,718 deleted).
% 11.12/11.33 ; Retrieved 74,084 possibly forward subsuming rows in 19,170 calls.
% 11.12/11.33 ; Retrieved 4,693 possibly backward subsumed rows in 4,628 calls.
% 11.12/11.33 ; Path-index has 14,012 entries (14,012 at peak, 14,961 added, 949 deleted).
% 11.12/11.33 ; Path-index has 24,144 nodes (24,144 at peak, 25,609 added, 1,465 deleted).
% 11.12/11.33 ; Trie-index has 14,012 entries (14,012 at peak, 14,961 added, 949 deleted).
% 11.12/11.33 ; Trie-index has 67,728 nodes (67,728 at peak, 73,939 added, 6,211 deleted).
% 11.12/11.33 ; Retrieved 412,764 generalization terms in 522,628 calls.
% 11.12/11.33 ; Retrieved 9,269 instance terms in 4,964 calls.
% 11.12/11.33 ; Retrieved 4,563,815 unifiable terms in 73,711 calls.
% 11.12/11.33 ;
% 11.12/11.33 ; The agenda of rows to process has 15 entries:
% 11.12/11.33 ; 1 with value 29 1 with value 50 1 with value 59
% 11.12/11.33 ; 1 with value 35 1 with value 53 1 with value 65
% 11.12/11.33 ; 6 with value 37 1 with value 54 1 with value 68
% 11.12/11.33 ; 1 with value 42
% 11.12/11.33 ; The agenda of input rows to give has 193 entries:
% 11.12/11.33 ; 54 with value 30 3 with value 40 1 with value 50
% 11.12/11.33 ; 7 with value 31 10 with value 41 2 with value 55
% 11.12/11.33 ; 6 with value 32 12 with value 42 1 with value 56
% 11.12/11.33 ; 13 with value 33 3 with value 43 1 with value 57
% 11.12/11.33 ; 10 with value 34 2 with value 44 1 with value 59
% 11.12/11.33 ; 6 with value 35 1 with value 45 2 with value 61
% 11.12/11.33 ; 7 with value 36 2 with value 46 1 with value 64
% 11.12/11.33 ; 22 with value 37 1 with value 47 1 with value 72
% 11.12/11.33 ; 8 with value 38 4 with value 48 1 with value 83
% 11.12/11.33 ; 9 with value 39 1 with value 49 1 with value 102
% 11.12/11.33 ; The agenda of rows to give has 6917 entries:
% 11.12/11.33 ; 1 with value (4 4) 203 with value (4 29) 11 with value (4 54)
% 11.12/11.33 ; 1 with value (4 5) 235 with value (4 30) 9 with value (4 55)
% 11.12/11.33 ; 6 with value (4 6) 153 with value (4 31) 17 with value (4 56)
% 11.12/11.33 ; 42 with value (4 7) 215 with value (4 32) 5 with value (4 57)
% 11.12/11.33 ; 41 with value (4 8) 180 with value (4 33) 12 with value (4 58)
% 11.12/11.33 ; 47 with value (4 9) 228 with value (4 34) 1 with value (4 59)
% 11.12/11.33 ; 87 with value (4 10) 144 with value (4 35) 14 with value (4 60)
% 11.12/11.33 ; 104 with value (4 11) 107 with value (4 36) 2 with value (4 61)
% 11.12/11.33 ; 148 with value (4 12) 106 with value (4 37) 6 with value (4 63)
% 11.12/11.33 ; 160 with value (4 13) 114 with value (4 38) 2 with value (4 69)
% 11.12/11.33 ; 97 with value (4 14) 137 with value (4 39) 1 with value (4 72)
% 11.12/11.33 ; 180 with value (4 15) 108 with value (4 40) 2 with value (4 73)
% 11.12/11.33 ; 213 with value (4 16) 79 with value (4 41) 3 with value (4 74)
% 11.12/11.33 ; 228 with value (4 17) 59 with value (4 42) 12 with value (4 77)
% 11.12/11.33 ; 156 with value (4 18) 92 with value (4 43) 1 with value (4 84)
% 11.12/11.33 ; 211 with value (4 19) 71 with value (4 44) 4 with value (4 86)
% 11.12/11.33 ; 276 with value (4 20) 65 with value (4 45) 1 with value (4 92)
% 11.12/11.33 ; 232 with value (4 21) 52 with value (4 46) 2 with value (4 94)
% 11.12/11.33 ; 349 with value (4 22) 25 with value (4 47) 2 with value (4 96)
% 11.12/11.33 ; 199 with value (4 23) 30 with value (4 48) 3 with value (4 106)
% 11.12/11.33 ; 277 with value (4 24) 44 with value (4 49) 2 with value (4 111)
% 11.12/11.33 ; 248 with value (4 25) 41 with value (4 50) 2 with value (4 117)
% 11.12/11.33 ; 368 with value (4 26) 45 with value (4 51) 2 with value (4 131)
% 11.12/11.33 ; 242 with value (4 27) 45 with value (4 52) 2 with value (4 136)
% 11.12/11.33 ; 285 with value (4 28) 23 with value (4 53)
% 11.12/11.33 Evaluation took:
% 11.12/11.33 10.806 seconds of real time
% 11.12/11.33 10.019387 seconds of user run time
% 11.12/11.33 0.786512 seconds of system run time
% 11.12/11.33 [Run times include 1.249 seconds GC run time.]
% 11.12/11.33 0 calls to %EVAL
% 11.12/11.33 0 page faults and
% 11.12/11.33 710,227,880 bytes consed.
% 11.12/11.33 :PROOF-FOUND
% 11.12/11.33 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T08:37:45
% 11.12/11.33 :PROOF-FOUND
% 11.12/11.33 *
%------------------------------------------------------------------------------