TSTP Solution File: GEO083+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 3.18s 3.37s
% Output : Refutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 8 unt; 3 nHn; 14 RR)
% Number of literals : 27 ( 3 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ part_of(X,Y)
| ~ incident_c(Z,X)
| incident_c(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
cnf(2,axiom,
( part_of(X,Y)
| incident_c('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
cnf(3,axiom,
( part_of(X,Y)
| ~ incident_c('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
cnf(4,axiom,
( X != sum(Y,Z)
| ~ incident_c(U,X)
| incident_c(U,Y)
| incident_c(U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
cnf(5,axiom,
( X != sum(Y,Z)
| incident_c(U,X)
| ~ incident_c(U,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
cnf(6,axiom,
( X != sum(Y,Z)
| incident_c(U,X)
| ~ incident_c(U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
cnf(44,negated_conjecture,
part_of('SKOLEMAAAV15','SKOLEMAAAV16'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1) ).
cnf(47,negated_conjecture,
~ part_of(sum('SKOLEMAAAV14','SKOLEMAAAV15'),sum('SKOLEMAAAV14','SKOLEMAAAV16')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1) ).
cnf(55,plain,
incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),sum('SKOLEMAAAV14','SKOLEMAAAV16')),sum('SKOLEMAAAV14','SKOLEMAAAV15')),
inference('HYPERRESOLVE',[status(thm)],[47,2]) ).
cnf(56,plain,
~ incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),sum('SKOLEMAAAV14','SKOLEMAAAV16')),sum('SKOLEMAAAV14','SKOLEMAAAV16')),
inference('UR-RESOLVE',[status(thm)],[3,47]) ).
cnf(5260,plain,
( incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),sum('SKOLEMAAAV14','SKOLEMAAAV16')),'SKOLEMAAAV14')
| incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),sum('SKOLEMAAAV14','SKOLEMAAAV16')),'SKOLEMAAAV15') ),
inference('HYPERRESOLVE',[status(thm)],[4,55,theory(equality)]) ).
cnf(5270,plain,
~ incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),sum('SKOLEMAAAV14','SKOLEMAAAV16')),'SKOLEMAAAV16'),
inference('UR-RESOLVE',[status(thm)],[6,56,theory(equality)]) ).
cnf(5272,plain,
~ incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),sum('SKOLEMAAAV14','SKOLEMAAAV16')),'SKOLEMAAAV14'),
inference('UR-RESOLVE',[status(thm)],[5,56,theory(equality)]) ).
cnf(5273,plain,
incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),sum('SKOLEMAAAV14','SKOLEMAAAV16')),'SKOLEMAAAV15'),
inference('REWRITE',[status(thm)],[5260,5272]) ).
cnf(5283,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,5270,44]),5273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 19:02:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T19:02:40
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T19:02:40
% 3.18/3.37
% 3.18/3.37
% 3.18/3.37 #||
% 3.18/3.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.18/3.37 % SZS output start Refutation
% See solution above
% 3.18/3.37 ||#
% 3.18/3.37
% 3.18/3.37 ; Summary of computation:
% 3.18/3.37 ; 25108 formulas have been input or derived (from 514 formulas).
% 3.18/3.37 ; 5283 (21%) were retained. Of these,
% 3.18/3.37 ; 574 (11%) were simplified or subsumed later,
% 3.18/3.37 ; 4709 (89%) are still being kept.
% 3.18/3.37 ;
% 3.18/3.37 ; Run time in seconds excluding printing time:
% 3.18/3.37 ; 0.006 0% Read assertion file (1 call)
% 3.18/3.37 ; 0.001 0% Assert (17 calls)
% 3.18/3.37 ; 0.414 14% Process new row (20,551 calls)
% 3.18/3.37 ; 1.340 46% Resolution (1,026 calls)
% 3.18/3.37 ; 0.010 0% Paramodulation (513 calls)
% 3.18/3.37 ; 0.000 0% Factoring (22 calls)
% 3.18/3.37 ; 0.081 3% Condensing (6,126 calls)
% 3.18/3.37 ; 0.313 11% Forward subsumption (6,126 calls)
% 3.18/3.37 ; 0.140 5% Backward subsumption (3,203 calls)
% 3.18/3.37 ; 0.087 3% Clause clause subsumption (41,987 calls)
% 3.18/3.37 ; 0.310 11% Forward simplification (20,362 calls)
% 3.18/3.37 ; 0.079 3% Backward simplification (5,283 calls)
% 3.18/3.37 ; 0.017 1% Ordering (9,968 calls)
% 3.18/3.37 ; 0.001 0% Sortal reasoning (32 calls)
% 3.18/3.37 ; 0.000 0% Purity testing (1 call)
% 3.18/3.37 ; 0.094 3% Other
% 3.18/3.37 ; 2.893 Total
% 3.18/3.37 ; 2.894 Real time
% 3.18/3.37 ;
% 3.18/3.37 ; Term-hash-array has 7,599 terms in all.
% 3.18/3.37 ; Feature-vector-row-index has 2,826 entries (2,986 at peak, 3,203 added, 377 deleted).
% 3.18/3.37 ; Feature-vector-row-index has 6,380 nodes (6,395 at peak, 7,014 added, 634 deleted).
% 3.18/3.37 ; Retrieved 33,926 possibly forward subsuming rows in 6,126 calls.
% 3.18/3.37 ; Retrieved 14,905 possibly backward subsumed rows in 3,203 calls.
% 3.18/3.37 ; Path-index has 7,094 entries (7,128 at peak, 7,769 added, 675 deleted).
% 3.18/3.37 ; Path-index has 6,200 nodes (6,200 at peak, 6,287 added, 87 deleted).
% 3.18/3.37 ; Trie-index has 7,094 entries (7,128 at peak, 7,769 added, 675 deleted).
% 3.18/3.37 ; Trie-index has 26,387 nodes (26,387 at peak, 27,837 added, 1,450 deleted).
% 3.18/3.37 ; Retrieved 92,695 generalization terms in 61,319 calls.
% 3.18/3.37 ; Retrieved 13,648 instance terms in 2,079 calls.
% 3.18/3.37 ; Retrieved 2,108,713 unifiable terms in 100,539 calls.
% 3.18/3.37 ;
% 3.18/3.37 ; The agenda of rows to process has 19 entries:
% 3.18/3.37 ; 7 with value 15 2 with value 18 1 with value 21
% 3.18/3.37 ; 2 with value 16 2 with value 19 2 with value 26
% 3.18/3.37 ; 1 with value 17 2 with value 20
% 3.18/3.37 ; The agenda of rows to give has 4198 entries:
% 3.18/3.37 ; 3 with value (4 14) 136 with value (4 29) 22 with value (4 43)
% 3.18/3.37 ; 192 with value (4 15) 81 with value (4 30) 4 with value (4 44)
% 3.18/3.37 ; 183 with value (4 16) 133 with value (4 31) 23 with value (4 45)
% 3.18/3.37 ; 272 with value (4 17) 171 with value (4 32) 30 with value (4 46)
% 3.18/3.37 ; 234 with value (4 18) 48 with value (4 33) 11 with value (4 48)
% 3.18/3.37 ; 144 with value (4 19) 166 with value (4 34) 16 with value (4 49)
% 3.18/3.37 ; 263 with value (4 20) 51 with value (4 35) 2 with value (4 53)
% 3.18/3.37 ; 106 with value (4 21) 175 with value (4 36) 5 with value (4 54)
% 3.18/3.37 ; 201 with value (4 22) 33 with value (4 37) 10 with value (4 55)
% 3.18/3.37 ; 136 with value (4 23) 52 with value (4 38) 8 with value (4 56)
% 3.18/3.37 ; 108 with value (4 24) 37 with value (4 39) 72 with value (4 57)
% 3.18/3.37 ; 91 with value (4 25) 322 with value (4 40) 2 with value (4 58)
% 3.18/3.37 ; 91 with value (4 26) 56 with value (4 41) 4 with value (4 59)
% 3.18/3.37 ; 199 with value (4 27) 84 with value (4 42) 82 with value (4 66)
% 3.18/3.37 ; 139 with value (4 28)
% 3.18/3.37 Evaluation took:
% 3.18/3.37 2.896 seconds of real time
% 3.18/3.37 2.701882 seconds of user run time
% 3.18/3.37 0.194108 seconds of system run time
% 3.18/3.37 [Run times include 0.204 seconds GC run time.]
% 3.18/3.37 0 calls to %EVAL
% 3.18/3.37 0 page faults and
% 3.18/3.37 230,649,888 bytes consed.
% 3.18/3.37 :PROOF-FOUND
% 3.18/3.37 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T19:02:43
% 3.18/3.37 :PROOF-FOUND
% 3.18/3.37 *
%------------------------------------------------------------------------------