TSTP Solution File: SWV408+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV408+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 : Wed Jul 20 21:33:12 EDT 2022
% Result : Theorem 1.45s 1.66s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 6 unt; 6 nHn; 12 RR)
% Number of literals : 24 ( 6 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
~ contains_slb(create_slb,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax20) ).
cnf(48,axiom,
( X = create_slb
| findmin_cpq_res(triple(Y,X,Z)) = findmin_pqp_res(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax51) ).
cnf(51,axiom,
( ~ contains_slb(X,Y)
| ~ strictly_less_than(Y,Z)
| pair_in_list(update_slb(X,Z),Y,Z)
| pair_in_list(update_slb(X,Z),Y,'SKOLEMAAAV1'(X,Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_l45) ).
cnf(52,axiom,
( ~ contains_slb(X,Y)
| ~ strictly_less_than(Y,Z)
| pair_in_list(update_slb(X,Z),Y,Z)
| less_than(Z,'SKOLEMAAAV1'(X,Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_l45) ).
cnf(53,negated_conjecture,
contains_slb('SKOLEMAAAV3','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_co) ).
cnf(54,negated_conjecture,
strictly_less_than('SKOLEMAAAV5',findmin_cpq_res(triple('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV4'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_co) ).
cnf(55,negated_conjecture,
~ pair_in_list(update_slb('SKOLEMAAAV3',findmin_pqp_res('SKOLEMAAAV2')),'SKOLEMAAAV5',findmin_pqp_res('SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_co) ).
cnf(56,negated_conjecture,
( ~ pair_in_list(update_slb('SKOLEMAAAV3',findmin_pqp_res('SKOLEMAAAV2')),'SKOLEMAAAV5',X)
| ~ less_than(findmin_pqp_res('SKOLEMAAAV2'),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l44_co) ).
cnf(81,plain,
( 'SKOLEMAAAV3' = create_slb
| strictly_less_than('SKOLEMAAAV5',findmin_pqp_res('SKOLEMAAAV2')) ),
inference('PARAMODULATE',[status(thm)],[54,48,theory(equality)]) ).
cnf(232,plain,
( 'SKOLEMAAAV3' = create_slb
| less_than(findmin_pqp_res('SKOLEMAAAV2'),'SKOLEMAAAV1'('SKOLEMAAAV3',findmin_pqp_res('SKOLEMAAAV2'),'SKOLEMAAAV5')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[52,81,53]),55]) ).
cnf(233,plain,
( 'SKOLEMAAAV3' = create_slb
| pair_in_list(update_slb('SKOLEMAAAV3',findmin_pqp_res('SKOLEMAAAV2')),'SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV3',findmin_pqp_res('SKOLEMAAAV2'),'SKOLEMAAAV5')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[51,81,53]),55]) ).
cnf(2657,plain,
'SKOLEMAAAV3' = create_slb,
inference('HYPERRESOLVE',[status(thm)],[56,233,232]) ).
cnf(2658,plain,
$false,
inference('REWRITE',[status(thm)],[53,10,2657,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV408+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n005.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 : Wed Jun 15 23:14:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T23:14:54
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-15T23:14:54
% 1.45/1.66
% 1.45/1.66
% 1.45/1.66 #||
% 1.45/1.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.66 % SZS output start Refutation
% See solution above
% 1.45/1.66 ||#
% 1.45/1.66
% 1.45/1.66 ; Summary of computation:
% 1.45/1.66 ; 15635 formulas have been input or derived (from 575 formulas).
% 1.45/1.66 ; 2658 (17%) were retained. Of these,
% 1.45/1.66 ; 270 (10%) were simplified or subsumed later,
% 1.45/1.66 ; 2388 (90%) are still being kept.
% 1.45/1.66 ;
% 1.45/1.66 ; Run time in seconds excluding printing time:
% 1.45/1.66 ; 0.011 1% Read assertion file (1 call)
% 1.45/1.66 ; 0.003 0% Assert (43 calls)
% 1.45/1.66 ; 0.249 21% Process new row (15,221 calls)
% 1.45/1.66 ; 0.122 10% Resolution (1,148 calls)
% 1.45/1.66 ; 0.047 4% Paramodulation (574 calls)
% 1.45/1.66 ; 0.000 0% Factoring (20 calls)
% 1.45/1.66 ; 0.053 4% Condensing (1,161 calls)
% 1.45/1.66 ; 0.073 6% Forward subsumption (1,161 calls)
% 1.45/1.66 ; 0.018 2% Backward subsumption (430 calls)
% 1.45/1.66 ; 0.036 3% Clause clause subsumption (1,934 calls)
% 1.45/1.66 ; 0.393 33% Forward simplification (15,218 calls)
% 1.45/1.66 ; 0.037 3% Backward simplification (2,658 calls)
% 1.45/1.66 ; 0.056 5% Ordering (28,928 calls)
% 1.45/1.66 ; 0.001 0% Sortal reasoning (32 calls)
% 1.45/1.66 ; 0.000 0% Purity testing (1 call)
% 1.45/1.66 ; 0.089 7% Other
% 1.45/1.66 ; 1.188 Total
% 1.45/1.66 ; 1.190 Real time
% 1.45/1.66 ;
% 1.45/1.66 ; Term-hash-array has 5,432 terms in all.
% 1.45/1.66 ; Feature-vector-row-index has 219 entries (428 at peak, 430 added, 211 deleted).
% 1.45/1.66 ; Feature-vector-row-index has 2,013 nodes (4,530 at peak, 4,547 added, 2,534 deleted).
% 1.45/1.66 ; Retrieved 3,997 possibly forward subsuming rows in 1,161 calls.
% 1.45/1.66 ; Retrieved 130 possibly backward subsumed rows in 430 calls.
% 1.45/1.66 ; Path-index has 4,725 entries (5,384 at peak, 5,441 added, 716 deleted).
% 1.45/1.66 ; Path-index has 14,171 nodes (14,618 at peak, 14,717 added, 546 deleted).
% 1.45/1.66 ; Trie-index has 4,725 entries (5,384 at peak, 5,441 added, 716 deleted).
% 1.45/1.66 ; Trie-index has 19,657 nodes (23,192 at peak, 23,432 added, 3,775 deleted).
% 1.45/1.66 ; Retrieved 76,397 generalization terms in 100,434 calls.
% 1.45/1.66 ; Retrieved 2,276 instance terms in 2,231 calls.
% 1.45/1.66 ; Retrieved 37,614 unifiable terms in 6,378 calls.
% 1.45/1.66 ;
% 1.45/1.66 ; The agenda of backward simplifiable rows to process has 234 entries:
% 1.45/1.66 ; 234 with value 0
% 1.45/1.66 ; The agenda of rows to process has 10 entries:
% 1.45/1.66 ; 1 with value 18 1 with value 26 5 with value 27
% 1.45/1.66 ; 3 with value 23
% 1.45/1.66 ; The agenda of rows to give has 1842 entries:
% 1.45/1.66 ; 1 with value (4 7) 2 with value (4 37) 1 with value (4 57)
% 1.45/1.66 ; 212 with value (4 20) 1 with value (4 38) 5 with value (4 58)
% 1.45/1.66 ; 362 with value (4 21) 1 with value (4 39) 1 with value (4 59)
% 1.45/1.66 ; 474 with value (4 22) 2 with value (4 40) 2 with value (4 60)
% 1.45/1.66 ; 269 with value (4 23) 2 with value (4 41) 1 with value (4 62)
% 1.45/1.66 ; 32 with value (4 24) 1 with value (4 44) 1 with value (4 64)
% 1.45/1.66 ; 39 with value (4 25) 3 with value (4 45) 1 with value (4 65)
% 1.45/1.66 ; 29 with value (4 26) 1 with value (4 47) 1 with value (4 66)
% 1.45/1.66 ; 34 with value (4 27) 3 with value (4 48) 1 with value (4 67)
% 1.45/1.66 ; 24 with value (4 28) 5 with value (4 49) 2 with value (4 70)
% 1.45/1.66 ; 16 with value (4 29) 3 with value (4 50) 4 with value (4 74)
% 1.45/1.66 ; 29 with value (4 30) 1 with value (4 51) 1 with value (4 79)
% 1.45/1.66 ; 43 with value (4 31) 1 with value (4 52) 2 with value (4 80)
% 1.45/1.66 ; 75 with value (4 32) 2 with value (4 53) 2 with value (4 83)
% 1.45/1.66 ; 75 with value (4 33) 2 with value (4 54) 1 with value (4 84)
% 1.45/1.66 ; 48 with value (4 34) 2 with value (4 55) 2 with value (4 85)
% 1.45/1.66 ; 13 with value (4 35) 3 with value (4 56) 2 with value (4 89)
% 1.45/1.66 ; 2 with value (4 36)
% 1.45/1.66 Evaluation took:
% 1.45/1.66 1.191 seconds of real time
% 1.45/1.66 1.073226 seconds of user run time
% 1.45/1.66 0.117196 seconds of system run time
% 1.45/1.66 [Run times include 0.106 seconds GC run time.]
% 1.45/1.66 0 calls to %EVAL
% 1.45/1.66 0 page faults and
% 1.45/1.66 91,460,184 bytes consed.
% 1.45/1.66 :PROOF-FOUND
% 1.45/1.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T23:14:55
% 1.45/1.66 :PROOF-FOUND
% 1.45/1.66 *
%------------------------------------------------------------------------------