TSTP Solution File: GEO084+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO084+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:13:45 EDT 2022
% Result : Theorem 0.95s 1.12s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 11 RR)
% Number of literals : 19 ( 1 equ; 9 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 : 11 ( 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(2,axiom,
( part_of(X,Y)
| incident_c('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
cnf(3,axiom,
( part_of(X,Y)
| ~ incident_c('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
cnf(44,negated_conjecture,
part_of('SKOLEMAAAV14','SKOLEMAAAV16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2) ).
cnf(45,negated_conjecture,
part_of('SKOLEMAAAV15','SKOLEMAAAV16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2) ).
cnf(47,negated_conjecture,
~ part_of(sum('SKOLEMAAAV14','SKOLEMAAAV15'),'SKOLEMAAAV16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2) ).
cnf(54,plain,
incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),'SKOLEMAAAV16'),sum('SKOLEMAAAV14','SKOLEMAAAV15')),
inference('HYPERRESOLVE',[status(thm)],[47,2]) ).
cnf(55,plain,
~ incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),'SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('UR-RESOLVE',[status(thm)],[3,47]) ).
cnf(975,plain,
~ incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),'SKOLEMAAAV16'),'SKOLEMAAAV14'),
inference('UR-RESOLVE',[status(thm)],[1,55,44]) ).
cnf(976,plain,
~ incident_c('SKOLEMAAAV1'(sum('SKOLEMAAAV14','SKOLEMAAAV15'),'SKOLEMAAAV16'),'SKOLEMAAAV15'),
inference('UR-RESOLVE',[status(thm)],[1,55,45]) ).
cnf(1512,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,976,975,theory(equality)]),54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO084+1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 03:59:16 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 *
% 0.17/0.45 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.46 *
% 0.17/0.46 "."
% 0.17/0.46 *
% 0.17/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:59:16
% 0.17/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T03:59:16
% 0.95/1.12
% 0.95/1.12
% 0.95/1.12 #||
% 0.95/1.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.95/1.12 % SZS output start Refutation
% See solution above
% 0.95/1.13 ||#
% 0.95/1.13
% 0.95/1.13 ; Summary of computation:
% 0.95/1.13 ; 6792 formulas have been input or derived (from 196 formulas).
% 0.95/1.13 ; 1512 (22%) were retained. Of these,
% 0.95/1.13 ; 159 (11%) were simplified or subsumed later,
% 0.95/1.13 ; 1353 (89%) are still being kept.
% 0.95/1.13 ;
% 0.95/1.13 ; Run time in seconds excluding printing time:
% 0.95/1.13 ; 0.005 1% Read assertion file (1 call)
% 0.95/1.13 ; 0.003 0% Assert (17 calls)
% 0.95/1.13 ; 0.105 16% Process new row (4,904 calls)
% 0.95/1.13 ; 0.305 46% Resolution (390 calls)
% 0.95/1.13 ; 0.005 1% Paramodulation (195 calls)
% 0.95/1.13 ; 0.000 0% Factoring (7 calls)
% 0.95/1.13 ; 0.009 1% Condensing (1,446 calls)
% 0.95/1.13 ; 0.062 9% Forward subsumption (1,446 calls)
% 0.95/1.13 ; 0.030 5% Backward subsumption (948 calls)
% 0.95/1.13 ; 0.015 2% Clause clause subsumption (4,001 calls)
% 0.95/1.13 ; 0.061 9% Forward simplification (4,904 calls)
% 0.95/1.13 ; 0.013 2% Backward simplification (1,512 calls)
% 0.95/1.13 ; 0.005 1% Ordering (2,929 calls)
% 0.95/1.13 ; 0.001 0% Sortal reasoning (32 calls)
% 0.95/1.13 ; 0.000 0% Purity testing (1 call)
% 0.95/1.13 ; 0.042 6% Other
% 0.95/1.13 ; 0.661 Total
% 0.95/1.13 ; 0.670 Real time
% 0.95/1.13 ;
% 0.95/1.13 ; Term-hash-array has 2,348 terms in all.
% 0.95/1.13 ; Feature-vector-row-index has 822 entries (822 at peak, 948 added, 126 deleted).
% 0.95/1.13 ; Feature-vector-row-index has 2,711 nodes (2,711 at peak, 3,158 added, 447 deleted).
% 0.95/1.13 ; Retrieved 3,769 possibly forward subsuming rows in 1,446 calls.
% 0.95/1.13 ; Retrieved 1,089 possibly backward subsumed rows in 948 calls.
% 0.95/1.13 ; Path-index has 2,202 entries (2,202 at peak, 2,437 added, 235 deleted).
% 0.95/1.13 ; Path-index has 2,503 nodes (2,503 at peak, 2,564 added, 61 deleted).
% 0.95/1.13 ; Trie-index has 2,202 entries (2,202 at peak, 2,437 added, 235 deleted).
% 0.95/1.13 ; Trie-index has 6,976 nodes (6,976 at peak, 7,409 added, 433 deleted).
% 0.95/1.13 ; Retrieved 12,857 generalization terms in 11,883 calls.
% 0.95/1.13 ; Retrieved 1,779 instance terms in 563 calls.
% 0.95/1.13 ; Retrieved 406,177 unifiable terms in 34,637 calls.
% 0.95/1.13 ;
% 0.95/1.13 ; The agenda of rows to process has 10 entries:
% 0.95/1.13 ; 2 with value 15 2 with value 16 6 with value 19
% 0.95/1.13 ; The agenda of rows to give has 1157 entries:
% 0.95/1.13 ; 37 with value (4 12) 20 with value (4 25) 2 with value (4 38)
% 0.95/1.13 ; 124 with value (4 13) 13 with value (4 26) 3 with value (4 39)
% 0.95/1.13 ; 89 with value (4 14) 53 with value (4 27) 11 with value (4 40)
% 0.95/1.13 ; 64 with value (4 15) 104 with value (4 28) 4 with value (4 41)
% 0.95/1.13 ; 54 with value (4 16) 80 with value (4 29) 6 with value (4 43)
% 0.95/1.13 ; 29 with value (4 17) 8 with value (4 30) 6 with value (4 45)
% 0.95/1.13 ; 45 with value (4 18) 16 with value (4 31) 16 with value (4 46)
% 0.95/1.13 ; 36 with value (4 19) 42 with value (4 32) 4 with value (4 47)
% 0.95/1.13 ; 25 with value (4 20) 32 with value (4 33) 2 with value (4 53)
% 0.95/1.13 ; 45 with value (4 21) 22 with value (4 34) 5 with value (4 54)
% 0.95/1.13 ; 36 with value (4 22) 8 with value (4 35) 2 with value (4 55)
% 0.95/1.13 ; 46 with value (4 23) 20 with value (4 36) 6 with value (4 56)
% 0.95/1.13 ; 42 with value (4 24)
% 0.95/1.13 Evaluation took:
% 0.95/1.13 0.671 seconds of real time
% 0.95/1.13 0.629873 seconds of user run time
% 0.95/1.13 0.041052 seconds of system run time
% 0.95/1.13 [Run times include 0.03 seconds GC run time.]
% 0.95/1.13 0 calls to %EVAL
% 0.95/1.13 0 page faults and
% 0.95/1.13 50,706,656 bytes consed.
% 0.95/1.13 :PROOF-FOUND
% 0.95/1.13 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:59:17
% 0.95/1.13 :PROOF-FOUND
% 0.95/1.13 *
%------------------------------------------------------------------------------