TSTP Solution File: GEO082+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 06:13:44 EDT 2022
% Result : Theorem 32.95s 33.13s
% Output : Refutation 32.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 5 unt; 5 nHn; 8 RR)
% Number of literals : 26 ( 9 equ; 7 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ part_of(X,Y)
| ~ incident_c(Z,X)
| incident_c(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
cnf(7,axiom,
( X = sum(Y,Z)
| ~ incident_c('SKOLEMAAAV2'(X,Y,Z),X)
| ~ incident_c('SKOLEMAAAV2'(X,Y,Z),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
cnf(8,axiom,
( X = sum(Y,Z)
| ~ incident_c('SKOLEMAAAV2'(X,Y,Z),X)
| ~ incident_c('SKOLEMAAAV2'(X,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
cnf(9,axiom,
( X = sum(Y,Z)
| incident_c('SKOLEMAAAV2'(X,Y,Z),X)
| incident_c('SKOLEMAAAV2'(X,Y,Z),Y)
| incident_c('SKOLEMAAAV2'(X,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
cnf(44,negated_conjecture,
part_of('SKOLEMAAAV14','SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
cnf(45,negated_conjecture,
part_of('SKOLEMAAAV15','SKOLEMAAAV14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
cnf(46,negated_conjecture,
'SKOLEMAAAV14' != 'SKOLEMAAAV15',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
cnf(86,plain,
( X = sum(Y,X)
| incident_c('SKOLEMAAAV2'(X,Y,X),Y) ),
inference('HYPERRESOLVE',[status(thm)],[8,9,9]) ).
cnf(87,plain,
( X = sum(X,Y)
| incident_c('SKOLEMAAAV2'(X,X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[7,9,9]) ).
cnf(5427,plain,
( X = sum('SKOLEMAAAV15',X)
| incident_c('SKOLEMAAAV2'(X,'SKOLEMAAAV15',X),'SKOLEMAAAV14') ),
inference('HYPERRESOLVE',[status(thm)],[1,86,45]) ).
cnf(5446,plain,
( X = sum(X,'SKOLEMAAAV14')
| incident_c('SKOLEMAAAV2'(X,X,'SKOLEMAAAV14'),'SKOLEMAAAV15') ),
inference('HYPERRESOLVE',[status(thm)],[1,87,44]) ).
cnf(16209,plain,
'SKOLEMAAAV14' = sum('SKOLEMAAAV15','SKOLEMAAAV14'),
inference('HYPERRESOLVE',[status(thm)],[8,5427,5427]) ).
cnf(16226,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,5446,87]),46,16209,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 21:25:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:25:38
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-17T21:25:38
% 32.95/33.13
% 32.95/33.13
% 32.95/33.13 #||
% 32.95/33.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.95/33.13 % SZS output start Refutation
% See solution above
% 32.95/33.13 ||#
% 32.95/33.13
% 32.95/33.13 ; Summary of computation:
% 32.95/33.13 ; 156553 formulas have been input or derived (from 645 formulas).
% 32.95/33.13 ; 16226 (10%) were retained. Of these,
% 32.95/33.13 ; 1020 ( 6%) were simplified or subsumed later,
% 32.95/33.13 ; 15206 (94%) are still being kept.
% 32.95/33.13 ;
% 32.95/33.13 ; Run time in seconds excluding printing time:
% 32.95/33.13 ; 0.006 0% Read assertion file (1 call)
% 32.95/33.13 ; 0.002 0% Assert (17 calls)
% 32.95/33.13 ; 2.144 7% Process new row (134,636 calls)
% 32.95/33.13 ; 20.164 62% Resolution (1,288 calls)
% 32.95/33.13 ; 0.038 0% Paramodulation (644 calls)
% 32.95/33.13 ; 0.000 0% Factoring (48 calls)
% 32.95/33.13 ; 0.265 1% Condensing (25,186 calls)
% 32.95/33.13 ; 3.792 12% Forward subsumption (25,186 calls)
% 32.95/33.13 ; 1.473 5% Backward subsumption (14,288 calls)
% 32.95/33.13 ; 1.330 4% Clause clause subsumption (727,701 calls)
% 32.95/33.13 ; 2.700 8% Forward simplification (134,466 calls)
% 32.95/33.13 ; 0.180 1% Backward simplification (16,226 calls)
% 32.95/33.13 ; 0.077 0% Ordering (37,307 calls)
% 32.95/33.13 ; 0.001 0% Sortal reasoning (32 calls)
% 32.95/33.13 ; 0.001 0% Purity testing (1 call)
% 32.95/33.13 ; 0.485 1% Other
% 32.95/33.13 ; 32.658 Total
% 32.95/33.13 ; 32.661 Real time
% 32.95/33.13 ;
% 32.95/33.13 ; Term-hash-array has 24,595 terms in all.
% 32.95/33.13 ; Feature-vector-row-index has 13,296 entries (13,296 at peak, 14,288 added, 992 deleted).
% 32.95/33.13 ; Feature-vector-row-index has 17,046 nodes (17,046 at peak, 19,169 added, 2,123 deleted).
% 32.95/33.13 ; Retrieved 886,630 possibly forward subsuming rows in 25,186 calls.
% 32.95/33.13 ; Retrieved 250,424 possibly backward subsumed rows in 14,288 calls.
% 32.95/33.13 ; Path-index has 23,391 entries (23,391 at peak, 25,133 added, 1,742 deleted).
% 32.95/33.13 ; Path-index has 32,180 nodes (32,180 at peak, 32,778 added, 598 deleted).
% 32.95/33.13 ; Trie-index has 23,391 entries (23,391 at peak, 25,133 added, 1,742 deleted).
% 32.95/33.13 ; Trie-index has 126,750 nodes (126,750 at peak, 133,990 added, 7,240 deleted).
% 32.95/33.13 ; Retrieved 1,143,455 generalization terms in 349,416 calls.
% 32.95/33.13 ; Retrieved 17,432 instance terms in 1,937 calls.
% 32.95/33.13 ; Retrieved 21,115,780 unifiable terms in 484,849 calls.
% 32.95/33.13 ;
% 32.95/33.13 ; The agenda of rows to process has 61 entries:
% 32.95/33.13 ; 3 with value 18 3 with value 25 2 with value 30
% 32.95/33.13 ; 2 with value 19 17 with value 26 2 with value 32
% 32.95/33.13 ; 6 with value 20 1 with value 27 9 with value 34
% 32.95/33.13 ; 3 with value 21 3 with value 28 4 with value 37
% 32.95/33.13 ; 2 with value 22 2 with value 29 2 with value 42
% 32.95/33.13 ; The agenda of rows to give has 14565 entries:
% 32.95/33.13 ; 61 with value (4 17) 433 with value (4 40) 64 with value (4 64)
% 32.95/33.13 ; 228 with value (4 18) 162 with value (4 41) 2 with value (4 66)
% 32.95/33.13 ; 253 with value (4 19) 760 with value (4 42) 56 with value (4 67)
% 32.95/33.13 ; 312 with value (4 20) 348 with value (4 43) 292 with value (4 68)
% 32.95/33.13 ; 218 with value (4 21) 875 with value (4 44) 42 with value (4 69)
% 32.95/33.13 ; 125 with value (4 22) 118 with value (4 45) 112 with value (4 71)
% 32.95/33.13 ; 138 with value (4 23) 402 with value (4 46) 20 with value (4 72)
% 32.95/33.13 ; 183 with value (4 24) 236 with value (4 47) 104 with value (4 73)
% 32.95/33.13 ; 146 with value (4 25) 259 with value (4 48) 32 with value (4 75)
% 32.95/33.13 ; 139 with value (4 26) 436 with value (4 49) 4 with value (4 78)
% 32.95/33.13 ; 204 with value (4 27) 44 with value (4 50) 64 with value (4 79)
% 32.95/33.13 ; 293 with value (4 28) 56 with value (4 51) 128 with value (4 80)
% 32.95/33.13 ; 258 with value (4 29) 284 with value (4 52) 72 with value (4 84)
% 32.95/33.13 ; 249 with value (4 30) 334 with value (4 53) 64 with value (4 88)
% 32.95/33.13 ; 412 with value (4 31) 221 with value (4 54) 32 with value (4 89)
% 32.95/33.13 ; 212 with value (4 32) 58 with value (4 55) 32 with value (4 96)
% 32.95/33.13 ; 213 with value (4 33) 40 with value (4 56) 160 with value (4 97)
% 32.95/33.13 ; 405 with value (4 34) 4 with value (4 57) 64 with value (4 105)
% 32.95/33.13 ; 971 with value (4 35) 50 with value (4 58) 128 with value (4 107)
% 32.95/33.13 ; 373 with value (4 36) 316 with value (4 59) 64 with value (4 108)
% 32.95/33.13 ; 539 with value (4 37) 140 with value (4 60) 8 with value (4 109)
% 32.95/33.13 ; 568 with value (4 38) 8 with value (4 61) 256 with value (4 116)
% 32.95/33.13 ; 425 with value (4 39) 224 with value (4 63) 32 with value (4 120)
% 32.95/33.13 Evaluation took:
% 32.95/33.13 32.664 seconds of real time
% 32.95/33.13 30.937716 seconds of user run time
% 32.95/33.13 1.725051 seconds of system run time
% 32.95/33.13 [Run times include 3.426 seconds GC run time.]
% 32.95/33.13 0 calls to %EVAL
% 32.95/33.13 0 page faults and
% 32.95/33.13 1,988,530,120 bytes consed.
% 32.95/33.13 :PROOF-FOUND
% 32.95/33.13 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T21:26:10
% 32.95/33.13 :PROOF-FOUND
% 32.95/33.13 *
%------------------------------------------------------------------------------