TSTP Solution File: GEO340+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO340+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 06:15:52 EDT 2022
% Result : Theorem 80.50s 80.70s
% Output : Refutation 80.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of clauses : 24 ( 23 unt; 1 nHn; 24 RR)
% Number of literals : 43 ( 22 equ; 20 neg)
% Maximal clause size : 20 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-7 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
'SKOLEMAAAV1' != vd1386,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(403))') ).
cnf(2,negated_conjecture,
vf(vd1385,vd1386) = vf(vd1385,'SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(403))') ).
cnf(3,negated_conjecture,
vf(vd1384,vd1386) = vf(vd1384,'SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(403))') ).
cnf(4,negated_conjecture,
rS(vd1386,'SKOLEMAAAV1',vd1391),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(403))') ).
cnf(5,negated_conjecture,
rpoint('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(403))') ).
cnf(6,axiom,
vd1391 = vd1392,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(7,axiom,
ron(vd1385,vd1391),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(8,axiom,
ron(vd1384,vd1391),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(9,axiom,
rline(vd1392),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(10,plain,
rline(vd1391),
inference('REWRITE',[status(thm)],[9,6,theory(equality)]) ).
cnf(11,axiom,
vd1385 != vd1386,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(12,axiom,
vd1384 != vd1386,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(13,axiom,
vd1384 != vd1385,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(14,axiom,
vd1386 = 'SKOLEMAAAV2',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(15,axiom,
rpoint('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(16,plain,
rpoint(vd1386),
inference('REWRITE',[status(thm)],[15,14,theory(equality)]) ).
cnf(17,axiom,
vd1385 = 'SKOLEMAAAV3',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(18,axiom,
rpoint('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(19,plain,
rpoint(vd1385),
inference('REWRITE',[status(thm)],[18,17,theory(equality)]) ).
cnf(20,axiom,
vd1384 = 'SKOLEMAAAV4',
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(21,axiom,
rpoint('SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
cnf(22,plain,
rpoint(vd1384),
inference('REWRITE',[status(thm)],[21,20,theory(equality)]) ).
cnf(23,axiom,
( X != Y
| ~ ron(Z,X)
| ~ ron(U,X)
| ~ rline(Y)
| Z = V
| U = V
| U = Z
| V != W
| ~ rpoint(W)
| Z != X1
| ~ rpoint(X1)
| U != Y1
| ~ rpoint(Y1)
| Z1 = V
| vf(Z,V) != vf(Z,Z1)
| vf(U,V) != vf(U,Z1)
| ~ rS(V,Z1,X)
| ~ rpoint(Z1)
| U1 != vskolem1416(Z1,U,Z,V,X,Y)
| V1 != vskolem1419(U1,Z1,U,Z,V,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(404), 0), 0)') ).
cnf(4531,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[23,7,8,10,11,12,13,16,19,22,1,2,3,4,5,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO340+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jun 18 16:12:28 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:12:28
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T16:12:28
% 0.41/0.61 WARNING:
% 0.41/0.61 |rtriangle| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |rleq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |rgeq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 80.50/80.70
% 80.50/80.70
% 80.50/80.70 #||
% 80.50/80.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 80.50/80.70 % SZS output start Refutation
% See solution above
% 80.50/80.70 ||#
% 80.50/80.70
% 80.50/80.70 ; Summary of computation:
% 80.50/80.70 ; 89788 formulas have been input or derived (from 241 formulas).
% 80.50/80.70 ; 4531 ( 5%) were retained. Of these,
% 80.50/80.70 ; 262 ( 6%) were simplified or subsumed later,
% 80.50/80.70 ; 4269 (94%) are still being kept.
% 80.50/80.70 ;
% 80.50/80.70 ; Run time in seconds excluding printing time:
% 80.50/80.70 ; 0.087 0% Read assertion file (1 call)
% 80.50/80.70 ; 0.051 0% Assert (124 calls)
% 80.50/80.70 ; 0.418 1% Process new row (89,352 calls)
% 80.50/80.70 ; 78.227 98% Resolution (480 calls)
% 80.50/80.70 ; 0.007 0% Paramodulation (240 calls)
% 80.50/80.70 ; 0.091 0% Condensing (1,587 calls)
% 80.50/80.70 ; 0.071 0% Forward subsumption (1,587 calls)
% 80.50/80.70 ; 0.016 0% Backward subsumption (647 calls)
% 80.50/80.70 ; 0.064 0% Clause clause subsumption (2,299 calls)
% 80.50/80.70 ; 0.876 1% Forward simplification (89,339 calls)
% 80.50/80.70 ; 0.043 0% Backward simplification (4,517 calls)
% 80.50/80.70 ; 0.004 0% Ordering (1,801 calls)
% 80.50/80.70 ; 0.000 0% Sortal reasoning (32 calls)
% 80.50/80.70 ; 0.002 0% Purity testing (1 call)
% 80.50/80.70 ; 0.266 0% Other
% 80.50/80.70 ; 80.223 Total
% 80.50/80.70 ; 80.241 Real time
% 80.50/80.70 ;
% 80.50/80.70 ; Term-hash-array has 6,468 terms in all.
% 80.50/80.70 ; Feature-vector-row-index has 640 entries (640 at peak, 647 added, 7 deleted).
% 80.50/80.70 ; Feature-vector-row-index has 2,550 nodes (2,550 at peak, 2,572 added, 22 deleted).
% 80.50/80.70 ; Retrieved 3,970 possibly forward subsuming rows in 1,587 calls.
% 80.50/80.70 ; Retrieved 651 possibly backward subsumed rows in 647 calls.
% 80.50/80.70 ; Path-index has 6,240 entries (6,240 at peak, 6,538 added, 298 deleted).
% 80.50/80.70 ; Path-index has 3,575 nodes (3,575 at peak, 3,608 added, 33 deleted).
% 80.50/80.70 ; Trie-index has 6,240 entries (6,240 at peak, 6,538 added, 298 deleted).
% 80.50/80.70 ; Trie-index has 11,162 nodes (11,162 at peak, 11,662 added, 500 deleted).
% 80.50/80.70 ; Retrieved 96,028 generalization terms in 162,898 calls.
% 80.50/80.70 ; Retrieved 3,869 instance terms in 3,869 calls.
% 80.50/80.70 ; Retrieved 201,432,020 unifiable terms in 3,559,370 calls.
% 80.50/80.70 ;
% 80.50/80.70 ; The agenda of rows to process has 81 entries:
% 80.50/80.70 ; 17 with value 4 3 with value 10 1 with value 17
% 80.50/80.70 ; 45 with value 5 2 with value 12 2 with value 20
% 80.50/80.70 ; 1 with value 6 2 with value 13 8 with value 102
% 80.50/80.70 ; The agenda of input rows to give has 42 entries:
% 80.50/80.70 ; 4 with value 101 1 with value 118 2 with value 177
% 80.50/80.70 ; 7 with value 102 3 with value 173 3 with value 196
% 80.50/80.70 ; 1 with value 105 2 with value 174 3 with value 198
% 80.50/80.70 ; 1 with value 106 5 with value 175 3 with value 215
% 80.50/80.70 ; 1 with value 112 2 with value 176 3 with value 217
% 80.50/80.70 ; 1 with value 113
% 80.50/80.70 ; The agenda of rows to give has 3986 entries:
% 80.50/80.70 ; 3 with value (4 5) 34 with value (4 16) 4 with value (4 60)
% 80.50/80.70 ; 66 with value (4 6) 30 with value (4 17) 4 with value (4 64)
% 80.50/80.70 ; 71 with value (4 7) 26 with value (4 19) 4 with value (4 78)
% 80.50/80.70 ; 294 with value (4 8) 12 with value (4 20) 4 with value (4 86)
% 80.50/80.70 ; 1101 with value (4 9) 12 with value (4 21) 12 with value (4 87)
% 80.50/80.70 ; 1876 with value (4 10) 42 with value (4 23) 4 with value (4 89)
% 80.50/80.70 ; 30 with value (4 11) 12 with value (4 27) 12 with value (4 90)
% 80.50/80.70 ; 220 with value (4 12) 8 with value (4 36) 8 with value (4 98)
% 80.50/80.70 ; 27 with value (4 13) 2 with value (4 44) 8 with value (4 100)
% 80.50/80.70 ; 1 with value (4 14) 4 with value (4 58) 32 with value (4 101)
% 80.50/80.70 ; 23 with value (4 15)
% 80.50/80.70 Evaluation took:
% 80.50/80.71 80.242 seconds of real time
% 80.50/80.71 79.73566 seconds of user run time
% 80.50/80.71 0.490025 seconds of system run time
% 80.50/80.71 [Run times include 1.4 seconds GC run time.]
% 80.50/80.71 0 calls to %EVAL
% 80.50/80.71 0 page faults and
% 80.50/80.71 3,496,375,952 bytes consed.
% 80.50/80.71 :PROOF-FOUND
% 80.50/80.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:13:48
% 80.50/80.71 :PROOF-FOUND
% 80.50/80.71 *
%------------------------------------------------------------------------------