TSTP Solution File: GEO111+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Sat Jul 16 06:13:58 EDT 2022
% Result : Theorem 2.52s 2.69s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 16 unt; 7 nHn; 32 RR)
% Number of literals : 59 ( 16 equ; 23 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 29 ( 2 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(10,axiom,
( ~ end_point(X,Y)
| incident_c(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
cnf(18,axiom,
( ~ inner_point(X,Y)
| incident_c(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
cnf(19,axiom,
( ~ inner_point(X,Y)
| ~ end_point(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
cnf(44,axiom,
( ~ between_c(X,Y,Z,U)
| Y != U ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(45,axiom,
( ~ between_c(X,Y,Z,U)
| part_of('SKOLEMAAAV14'(X,Y,U,Z),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(46,axiom,
( ~ between_c(X,Y,Z,U)
| end_point(Y,'SKOLEMAAAV14'(X,Y,U,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(47,axiom,
( ~ between_c(X,Y,Z,U)
| end_point(U,'SKOLEMAAAV14'(X,Y,U,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(48,axiom,
( ~ between_c(X,Y,Z,U)
| inner_point(Z,'SKOLEMAAAV14'(X,Y,U,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
cnf(50,negated_conjecture,
between_c('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV17','SKOLEMAAAV18'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1) ).
cnf(51,negated_conjecture,
( ~ incident_c('SKOLEMAAAV16','SKOLEMAAAV15')
| ~ incident_c('SKOLEMAAAV17','SKOLEMAAAV15')
| ~ incident_c('SKOLEMAAAV18','SKOLEMAAAV15')
| 'SKOLEMAAAV16' = 'SKOLEMAAAV17'
| 'SKOLEMAAAV17' = 'SKOLEMAAAV18'
| 'SKOLEMAAAV16' = 'SKOLEMAAAV18' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1) ).
cnf(56,plain,
'SKOLEMAAAV16' != 'SKOLEMAAAV18',
inference('UR-RESOLVE',[status(thm)],[44,50]) ).
cnf(57,plain,
( ~ incident_c('SKOLEMAAAV16','SKOLEMAAAV15')
| ~ incident_c('SKOLEMAAAV17','SKOLEMAAAV15')
| ~ incident_c('SKOLEMAAAV18','SKOLEMAAAV15')
| 'SKOLEMAAAV16' = 'SKOLEMAAAV17'
| 'SKOLEMAAAV17' = 'SKOLEMAAAV18' ),
inference('REWRITE',[status(thm)],[51,56]) ).
cnf(62,plain,
part_of('SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17'),'SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[45,50]) ).
cnf(63,plain,
end_point('SKOLEMAAAV16','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[46,50]) ).
cnf(64,plain,
end_point('SKOLEMAAAV18','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[47,50]) ).
cnf(65,plain,
inner_point('SKOLEMAAAV17','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[48,50]) ).
cnf(179,plain,
incident_c('SKOLEMAAAV16','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[10,63]) ).
cnf(180,plain,
~ inner_point('SKOLEMAAAV16','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('UR-RESOLVE',[status(thm)],[19,63]) ).
cnf(187,plain,
incident_c('SKOLEMAAAV18','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[10,64]) ).
cnf(201,plain,
incident_c('SKOLEMAAAV17','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[18,65]) ).
cnf(347,plain,
incident_c('SKOLEMAAAV16','SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[1,179,62]) ).
cnf(348,plain,
( ~ incident_c('SKOLEMAAAV17','SKOLEMAAAV15')
| ~ incident_c('SKOLEMAAAV18','SKOLEMAAAV15')
| 'SKOLEMAAAV16' = 'SKOLEMAAAV17'
| 'SKOLEMAAAV17' = 'SKOLEMAAAV18' ),
inference('REWRITE',[status(thm)],[57,347]) ).
cnf(367,plain,
incident_c('SKOLEMAAAV18','SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[1,187,62]) ).
cnf(368,plain,
( ~ incident_c('SKOLEMAAAV17','SKOLEMAAAV15')
| 'SKOLEMAAAV16' = 'SKOLEMAAAV17'
| 'SKOLEMAAAV17' = 'SKOLEMAAAV18' ),
inference('REWRITE',[status(thm)],[348,367]) ).
cnf(386,plain,
incident_c('SKOLEMAAAV17','SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[1,201,62]) ).
cnf(387,plain,
( 'SKOLEMAAAV16' = 'SKOLEMAAAV17'
| 'SKOLEMAAAV17' = 'SKOLEMAAAV18' ),
inference('REWRITE',[status(thm)],[368,386]) ).
cnf(401,plain,
( 'SKOLEMAAAV16' = 'SKOLEMAAAV17'
| inner_point('SKOLEMAAAV17','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV17','SKOLEMAAAV17')) ),
inference('PARAMODULATE',[status(thm)],[65,387,theory(equality)]) ).
cnf(402,plain,
( 'SKOLEMAAAV16' = 'SKOLEMAAAV17'
| end_point('SKOLEMAAAV17','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV17','SKOLEMAAAV17')) ),
inference('PARAMODULATE',[status(thm)],[64,387,theory(equality)]) ).
cnf(3384,plain,
'SKOLEMAAAV16' = 'SKOLEMAAAV17',
inference('HYPERRESOLVE',[status(thm)],[19,402,401]) ).
cnf(3389,plain,
inner_point('SKOLEMAAAV16','SKOLEMAAAV14'('SKOLEMAAAV15','SKOLEMAAAV16','SKOLEMAAAV18','SKOLEMAAAV16')),
inference('REWRITE',[status(thm)],[65,3384,theory(equality)]) ).
cnf(3402,plain,
$false,
inference('REWRITE',[status(thm)],[180,3389,3384,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 18:20:14 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 2022-06-18T18:20:14
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-18T18:20:14
% 2.52/2.69
% 2.52/2.69
% 2.52/2.69 #||
% 2.52/2.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.52/2.69 % SZS output start Refutation
% See solution above
% 2.53/2.70 ||#
% 2.53/2.70
% 2.53/2.70 ; Summary of computation:
% 2.53/2.70 ; 11617 formulas have been input or derived (from 200 formulas).
% 2.53/2.70 ; 3402 (29%) were retained. Of these,
% 2.53/2.70 ; 1692 (50%) were simplified or subsumed later,
% 2.53/2.70 ; 1710 (50%) are still being kept.
% 2.53/2.70 ;
% 2.53/2.70 ; Run time in seconds excluding printing time:
% 2.53/2.70 ; 0.007 0% Read assertion file (1 call)
% 2.53/2.70 ; 0.002 0% Assert (18 calls)
% 2.53/2.70 ; 0.374 17% Process new row (8,249 calls)
% 2.53/2.70 ; 0.640 29% Resolution (398 calls)
% 2.53/2.70 ; 0.004 0% Paramodulation (199 calls)
% 2.53/2.70 ; 0.000 0% Factoring (39 calls)
% 2.53/2.70 ; 0.043 2% Condensing (4,381 calls)
% 2.53/2.70 ; 0.555 25% Forward subsumption (4,381 calls)
% 2.53/2.71 ; 0.159 7% Backward subsumption (2,914 calls)
% 2.53/2.71 ; 0.073 3% Clause clause subsumption (23,616 calls)
% 2.53/2.71 ; 0.169 8% Forward simplification (8,249 calls)
% 2.53/2.71 ; 0.117 5% Backward simplification (3,402 calls)
% 2.53/2.71 ; 0.019 1% Ordering (9,207 calls)
% 2.53/2.71 ; 0.000 0% Sortal reasoning (32 calls)
% 2.53/2.71 ; 0.001 0% Purity testing (1 call)
% 2.53/2.71 ; 0.067 3% Other
% 2.53/2.71 ; 2.230 Total
% 2.53/2.71 ; 2.251 Real time
% 2.53/2.71 ;
% 2.53/2.71 ; Term-hash-array has 5,523 terms in all.
% 2.53/2.71 ; Feature-vector-row-index has 1,469 entries (2,781 at peak, 2,914 added, 1,445 deleted).
% 2.53/2.71 ; Feature-vector-row-index has 4,425 nodes (10,476 at peak, 10,939 added, 6,514 deleted).
% 2.53/2.71 ; Retrieved 25,950 possibly forward subsuming rows in 4,381 calls.
% 2.53/2.71 ; Retrieved 5,929 possibly backward subsumed rows in 2,914 calls.
% 2.53/2.71 ; Path-index has 3,193 entries (5,436 at peak, 5,647 added, 2,454 deleted).
% 2.53/2.71 ; Path-index has 8,871 nodes (11,153 at peak, 11,363 added, 2,492 deleted).
% 2.53/2.71 ; Trie-index has 3,193 entries (5,436 at peak, 5,647 added, 2,454 deleted).
% 2.53/2.71 ; Trie-index has 13,799 nodes (27,156 at peak, 28,156 added, 14,357 deleted).
% 2.53/2.71 ; Retrieved 32,729 generalization terms in 26,969 calls.
% 2.53/2.71 ; Retrieved 1,002 instance terms in 487 calls.
% 2.53/2.71 ; Retrieved 802,323 unifiable terms in 47,064 calls.
% 2.53/2.71 ;
% 2.53/2.71 ; The agenda of backward simplifiable rows to process has 1538 entries:
% 2.53/2.71 ; 1538 with value 0
% 2.53/2.71 ; The agenda of rows to process has 207 entries:
% 2.53/2.71 ; 1 with value 11 1 with value 52 6 with value 70
% 2.53/2.71 ; 1 with value 15 1 with value 53 2 with value 73
% 2.53/2.71 ; 1 with value 16 4 with value 55 4 with value 74
% 2.53/2.71 ; 1 with value 23 2 with value 58 3 with value 75
% 2.53/2.71 ; 1 with value 24 10 with value 59 1 with value 76
% 2.53/2.71 ; 12 with value 30 4 with value 60 18 with value 78
% 2.53/2.71 ; 1 with value 33 1 with value 62 2 with value 79
% 2.53/2.71 ; 1 with value 36 1 with value 63 13 with value 80
% 2.53/2.71 ; 1 with value 37 13 with value 64 1 with value 81
% 2.53/2.71 ; 1 with value 38 4 with value 66 4 with value 84
% 2.53/2.71 ; 2 with value 40 20 with value 67 8 with value 85
% 2.53/2.71 ; 7 with value 42 12 with value 68 8 with value 86
% 2.53/2.71 ; 4 with value 46 10 with value 69 14 with value 94
% 2.53/2.71 ; 6 with value 51
% 2.53/2.71 ; The agenda of input rows to give has 1 entry:
% 2.53/2.71 ; 1 with value 6
% 2.53/2.71 ; The agenda of rows to give has 1572 entries:
% 2.53/2.71 ; 1 with value (4 7) 81 with value (4 33) 26 with value (4 55)
% 2.53/2.71 ; 6 with value (4 10) 15 with value (4 34) 22 with value (4 56)
% 2.53/2.71 ; 1 with value (4 11) 61 with value (4 35) 32 with value (4 57)
% 2.53/2.71 ; 2 with value (4 13) 36 with value (4 36) 2 with value (4 58)
% 2.53/2.71 ; 31 with value (4 15) 41 with value (4 37) 16 with value (4 59)
% 2.53/2.71 ; 28 with value (4 16) 62 with value (4 38) 20 with value (4 60)
% 2.53/2.71 ; 25 with value (4 17) 37 with value (4 39) 8 with value (4 61)
% 2.53/2.71 ; 35 with value (4 18) 17 with value (4 40) 8 with value (4 62)
% 2.53/2.71 ; 30 with value (4 19) 80 with value (4 41) 44 with value (4 64)
% 2.53/2.71 ; 10 with value (4 20) 32 with value (4 42) 16 with value (4 65)
% 2.53/2.71 ; 43 with value (4 21) 8 with value (4 43) 2 with value (4 66)
% 2.53/2.71 ; 35 with value (4 22) 12 with value (4 44) 48 with value (4 68)
% 2.53/2.71 ; 30 with value (4 23) 8 with value (4 45) 4 with value (4 70)
% 2.53/2.71 ; 60 with value (4 24) 34 with value (4 46) 20 with value (4 72)
% 2.53/2.71 ; 26 with value (4 25) 12 with value (4 47) 16 with value (4 73)
% 2.53/2.71 ; 33 with value (4 26) 3 with value (4 48) 4 with value (4 74)
% 2.53/2.71 ; 39 with value (4 27) 24 with value (4 49) 8 with value (4 78)
% 2.53/2.71 ; 39 with value (4 28) 4 with value (4 50) 4 with value (4 80)
% 2.53/2.71 ; 42 with value (4 29) 4 with value (4 51) 4 with value (4 85)
% 2.53/2.71 ; 20 with value (4 30) 23 with value (4 52) 16 with value (4 88)
% 2.53/2.71 ; 22 with value (4 31) 12 with value (4 53) 12 with value (4 96)
% 2.53/2.71 ; 29 with value (4 32) 47 with value (4 54)
% 2.53/2.71 Evaluation took:
% 2.53/2.71 2.252 seconds of real time
% 2.53/2.71 2.098749 seconds of user run time
% 2.53/2.71 0.152841 seconds of system run time
% 2.53/2.71 [Run times include 0.235 seconds GC run time.]
% 2.53/2.71 0 calls to %EVAL
% 2.53/2.71 0 page faults and
% 2.53/2.71 214,078,648 bytes consed.
% 2.53/2.71 :PROOF-FOUND
% 2.53/2.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T18:20:16
% 2.53/2.71 :PROOF-FOUND
% 2.53/2.71 *
%------------------------------------------------------------------------------