TSTP Solution File: GEO331+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 : Sat Jul 16 06:15:50 EDT 2022
% Result : Theorem 23.32s 23.54s
% Output : Refutation 23.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of clauses : 19 ( 17 unt; 2 nHn; 19 RR)
% Number of literals : 42 ( 24 equ; 21 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(384, 1360, 0)') ).
cnf(2,axiom,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(383, 1356, 0)') ).
cnf(3,axiom,
vd1353 != vd1354,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 9)') ).
cnf(4,axiom,
vd1352 != vd1354,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 8)') ).
cnf(5,axiom,
vd1352 != vd1353,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 7)') ).
cnf(6,axiom,
vd1354 = 'SKOLEMAAAV1',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).
cnf(7,axiom,
rpoint('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).
cnf(8,plain,
rpoint(vd1354),
inference('REWRITE',[status(thm)],[7,6,theory(equality)]) ).
cnf(9,axiom,
vd1353 = 'SKOLEMAAAV2',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).
cnf(10,axiom,
rpoint('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).
cnf(11,plain,
rpoint(vd1353),
inference('REWRITE',[status(thm)],[10,9,theory(equality)]) ).
cnf(12,axiom,
vd1352 = 'SKOLEMAAAV3',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).
cnf(13,axiom,
rpoint('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).
cnf(14,plain,
rpoint(vd1352),
inference('REWRITE',[status(thm)],[13,12,theory(equality)]) ).
cnf(15,axiom,
( vangle(X,Y,Z) != vangle(X,Z,Y)
| Y = Z
| X = Z
| X = Y
| Z != U
| ~ rpoint(U)
| Y != V
| ~ rpoint(V)
| X != W
| ~ rpoint(W)
| vf(X,Y) = vf(X,Z)
| rless(vf(X,Y),vf(X,Z))
| rless(vf(X,Z),vf(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 0)') ).
cnf(16,axiom,
( vangle(X,Y,Z) != vangle(X,Z,Y)
| Y = Z
| X = Z
| X = Y
| Z != U
| ~ rpoint(U)
| Y != V
| ~ rpoint(V)
| X != W
| ~ rpoint(W)
| vf(X,Y) = vf(X,Z)
| ~ rless(vf(X,Y),vf(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 1)') ).
cnf(2015,plain,
~ rless(vf(vd1352,vd1353),vf(vd1352,vd1354)),
inference('UR-RESOLVE',[status(thm)],[16,2,3,4,5,8,11,14,1,theory(equality),theory(equality),theory(equality)]) ).
cnf(2016,plain,
~ rless(vf(vd1352,vd1354),vf(vd1352,vd1353)),
inference('UR-RESOLVE',[status(thm)],[16,2,3,5,4,11,8,14,1,theory(equality),theory(equality),theory(equality)]) ).
cnf(2023,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,2,8,11,14,theory(equality),theory(equality),theory(equality)]),2016,2015,1,5,4,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 15:53:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:53:08
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T15:53:08
% 0.41/0.59 WARNING:
% 0.41/0.59 |rtriangle| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.59 WARNING:
% 0.41/0.59 |rleq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.59 WARNING:
% 0.41/0.59 |rgeq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 23.32/23.54
% 23.32/23.54
% 23.32/23.54 #||
% 23.32/23.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.32/23.54 % SZS output start Refutation
% See solution above
% 23.32/23.54 ||#
% 23.32/23.54
% 23.32/23.54 ; Summary of computation:
% 23.32/23.54 ; 42215 formulas have been input or derived (from 213 formulas).
% 23.32/23.54 ; 2023 ( 5%) were retained. Of these,
% 23.32/23.54 ; 102 ( 5%) were simplified or subsumed later,
% 23.32/23.54 ; 1921 (95%) are still being kept.
% 23.32/23.54 ;
% 23.32/23.54 ; Run time in seconds excluding printing time:
% 23.32/23.54 ; 0.081 0% Read assertion file (1 call)
% 23.32/23.54 ; 0.043 0% Assert (126 calls)
% 23.32/23.54 ; 0.160 1% Process new row (42,184 calls)
% 23.32/23.54 ; 22.121 96% Resolution (424 calls)
% 23.32/23.54 ; 0.004 0% Paramodulation (212 calls)
% 23.32/23.54 ; 0.076 0% Condensing (737 calls)
% 23.32/23.54 ; 0.026 0% Forward subsumption (737 calls)
% 23.32/23.54 ; 0.006 0% Backward subsumption (370 calls)
% 23.32/23.54 ; 0.037 0% Clause clause subsumption (894 calls)
% 23.32/23.54 ; 0.367 2% Forward simplification (42,171 calls)
% 23.32/23.54 ; 0.014 0% Backward simplification (2,010 calls)
% 23.32/23.54 ; 0.000 0% Ordering (687 calls)
% 23.32/23.54 ; 0.000 0% Sortal reasoning (32 calls)
% 23.32/23.54 ; 0.002 0% Purity testing (1 call)
% 23.32/23.54 ; 0.143 1% Other
% 23.32/23.54 ; 23.080 Total
% 23.32/23.54 ; 23.082 Real time
% 23.32/23.54 ;
% 23.32/23.54 ; Term-hash-array has 3,058 terms in all.
% 23.32/23.54 ; Feature-vector-row-index has 370 entries (370 at peak, 370 added, 0 deleted).
% 23.32/23.54 ; Feature-vector-row-index has 1,298 nodes (1,298 at peak, 1,298 added, 0 deleted).
% 23.32/23.54 ; Retrieved 1,044 possibly forward subsuming rows in 737 calls.
% 23.32/23.54 ; Retrieved 185 possibly backward subsumed rows in 370 calls.
% 23.32/23.54 ; Path-index has 2,979 entries (2,979 at peak, 3,072 added, 93 deleted).
% 23.32/23.54 ; Path-index has 3,077 nodes (3,077 at peak, 3,099 added, 22 deleted).
% 23.32/23.54 ; Trie-index has 2,979 entries (2,979 at peak, 3,072 added, 93 deleted).
% 23.32/23.54 ; Trie-index has 5,699 nodes (5,699 at peak, 5,825 added, 126 deleted).
% 23.32/23.54 ; Retrieved 42,883 generalization terms in 68,856 calls.
% 23.32/23.54 ; Retrieved 1,639 instance terms in 1,639 calls.
% 23.32/23.54 ; Retrieved 50,584,648 unifiable terms in 1,222,022 calls.
% 23.32/23.54 ;
% 23.32/23.54 ; The agenda of rows to process has 4 entries:
% 23.32/23.54 ; 4 with value 72
% 23.32/23.54 ; The agenda of input rows to give has 54 entries:
% 23.32/23.54 ; 3 with value 77 2 with value 101 5 with value 175
% 23.32/23.54 ; 1 with value 84 7 with value 102 2 with value 176
% 23.32/23.54 ; 2 with value 85 1 with value 105 2 with value 177
% 23.32/23.54 ; 1 with value 88 1 with value 106 3 with value 196
% 23.32/23.54 ; 1 with value 96 1 with value 113 3 with value 198
% 23.32/23.54 ; 1 with value 98 1 with value 118 3 with value 215
% 23.32/23.54 ; 1 with value 99 3 with value 173 3 with value 217
% 23.32/23.54 ; 5 with value 100 2 with value 174
% 23.32/23.54 ; The agenda of rows to give has 1654 entries:
% 23.32/23.54 ; 1 with value (4 5) 12 with value (4 11) 6 with value (4 19)
% 23.32/23.54 ; 32 with value (4 6) 93 with value (4 12) 24 with value (4 23)
% 23.32/23.54 ; 44 with value (4 7) 6 with value (4 13) 2 with value (4 49)
% 23.32/23.54 ; 156 with value (4 8) 18 with value (4 15) 2 with value (4 50)
% 23.32/23.54 ; 496 with value (4 9) 18 with value (4 16) 6 with value (4 64)
% 23.32/23.54 ; 720 with value (4 10) 18 with value (4 17)
% 23.32/23.54 Evaluation took:
% 23.32/23.54 23.083 seconds of real time
% 23.32/23.54 22.9014 seconds of user run time
% 23.32/23.54 0.181804 seconds of system run time
% 23.32/23.54 [Run times include 0.399 seconds GC run time.]
% 23.32/23.54 0 calls to %EVAL
% 23.32/23.54 0 page faults and
% 23.32/23.54 1,161,893,840 bytes consed.
% 23.32/23.54 :PROOF-FOUND
% 23.32/23.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:53:31
% 23.32/23.54 :PROOF-FOUND
% 23.32/23.54 *
%------------------------------------------------------------------------------