TSTP Solution File: SWV403+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV403+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 21:33:11 EDT 2022
% Result : Theorem 150.27s 150.47s
% Output : Refutation 150.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 9 unt; 14 nHn; 16 RR)
% Number of literals : 56 ( 22 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 59 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( less_than(X,Y)
| less_than(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).
cnf(6,axiom,
( strictly_less_than(X,Y)
| ~ less_than(X,Y)
| less_than(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
cnf(15,axiom,
( ~ pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
| pair_in_list(X,U,V)
| Y = U ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(16,axiom,
( ~ pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
| pair_in_list(X,U,V)
| Z = V ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(17,axiom,
( pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
| ~ pair_in_list(X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(18,axiom,
( pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
| Y != U
| Z != V ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).
cnf(24,axiom,
( ~ strictly_less_than(X,Y)
| update_slb(insert_slb(Z,pair(U,X)),Y) = insert_slb(update_slb(Z,Y),pair(U,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax29) ).
cnf(25,axiom,
( ~ less_than(X,Y)
| update_slb(insert_slb(Z,pair(U,Y)),X) = insert_slb(update_slb(Z,X),pair(U,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax30) ).
cnf(26,negated_conjecture,
( ~ pair_in_list('SKOLEMAAAV1',X,Y)
| ~ strictly_less_than(Y,Z)
| pair_in_list(update_slb('SKOLEMAAAV1',Z),X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_co) ).
cnf(27,negated_conjecture,
pair_in_list(insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV5','SKOLEMAAAV6')),'SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_co) ).
cnf(28,negated_conjecture,
strictly_less_than('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_co) ).
cnf(29,negated_conjecture,
~ pair_in_list(update_slb(insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV5','SKOLEMAAAV6')),'SKOLEMAAAV4'),'SKOLEMAAAV2','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_co) ).
cnf(35,plain,
( less_than(X,Y)
| strictly_less_than(Y,X) ),
inference('HYPERRESOLVE',[status(thm)],[6,2]) ).
cnf(39,plain,
( pair_in_list('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')
| 'SKOLEMAAAV5' = 'SKOLEMAAAV2' ),
inference('HYPERRESOLVE',[status(thm)],[15,27]) ).
cnf(40,plain,
( pair_in_list('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')
| 'SKOLEMAAAV6' = 'SKOLEMAAAV3' ),
inference('HYPERRESOLVE',[status(thm)],[16,27]) ).
cnf(41,plain,
update_slb(insert_slb(X,pair(Y,'SKOLEMAAAV3')),'SKOLEMAAAV4') = insert_slb(update_slb(X,'SKOLEMAAAV4'),pair(Y,'SKOLEMAAAV4')),
inference('HYPERRESOLVE',[status(thm)],[24,28]) ).
cnf(50,plain,
( less_than(X,Y)
| update_slb(insert_slb(Z,pair(U,Y)),X) = insert_slb(update_slb(Z,X),pair(U,X)) ),
inference('HYPERRESOLVE',[status(thm)],[24,35]) ).
cnf(52,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV2'
| pair_in_list(update_slb('SKOLEMAAAV1','SKOLEMAAAV4'),'SKOLEMAAAV2','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[26,39,28]) ).
cnf(55,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV3'
| pair_in_list(update_slb('SKOLEMAAAV1','SKOLEMAAAV4'),'SKOLEMAAAV2','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[26,40,28]) ).
cnf(68,plain,
( 'SKOLEMAAAV5' = 'SKOLEMAAAV2'
| pair_in_list(insert_slb(update_slb('SKOLEMAAAV1','SKOLEMAAAV4'),pair(X,Y)),'SKOLEMAAAV2','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[17,52]) ).
cnf(69,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV3'
| pair_in_list(insert_slb(update_slb('SKOLEMAAAV1','SKOLEMAAAV4'),pair(X,Y)),'SKOLEMAAAV2','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[17,55]) ).
cnf(150,plain,
( update_slb(insert_slb(X,pair(Y,Z)),U) = insert_slb(update_slb(X,U),pair(Y,U))
| update_slb(insert_slb(V,pair(W,Z)),U) = insert_slb(update_slb(V,U),pair(W,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[25,50]) ).
cnf(1382,plain,
( update_slb(insert_slb(X,pair(Y,'SKOLEMAAAV6')),'SKOLEMAAAV4') = insert_slb(update_slb(X,'SKOLEMAAAV4'),pair(Y,'SKOLEMAAAV6'))
| ~ pair_in_list(insert_slb(update_slb('SKOLEMAAAV1','SKOLEMAAAV4'),pair('SKOLEMAAAV5','SKOLEMAAAV4')),'SKOLEMAAAV2','SKOLEMAAAV4') ),
inference('PARAMODULATE',[status(thm)],[29,150,theory(equality)]) ).
cnf(1580,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV3'
| update_slb(insert_slb(X,pair(Y,'SKOLEMAAAV6')),'SKOLEMAAAV4') = insert_slb(update_slb(X,'SKOLEMAAAV4'),pair(Y,'SKOLEMAAAV6')) ),
inference('HYPERRESOLVE',[status(thm)],[1382,69]) ).
cnf(1582,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV3'
| ~ pair_in_list(insert_slb(update_slb('SKOLEMAAAV1','SKOLEMAAAV4'),pair('SKOLEMAAAV5','SKOLEMAAAV6')),'SKOLEMAAAV2','SKOLEMAAAV4') ),
inference('PARAMODULATE',[status(thm)],[29,1580,theory(equality)]) ).
cnf(1657,plain,
'SKOLEMAAAV6' = 'SKOLEMAAAV3',
inference('HYPERRESOLVE',[status(thm)],[1582,69]) ).
cnf(1659,plain,
~ pair_in_list(insert_slb(update_slb('SKOLEMAAAV1','SKOLEMAAAV4'),pair('SKOLEMAAAV5','SKOLEMAAAV4')),'SKOLEMAAAV2','SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[29,41,1657,theory(equality)]) ).
cnf(1696,plain,
'SKOLEMAAAV5' != 'SKOLEMAAAV2',
inference('UR-RESOLVE',[status(thm)],[18,1659,theory(equality)]) ).
cnf(1701,plain,
pair_in_list(insert_slb(update_slb('SKOLEMAAAV1','SKOLEMAAAV4'),pair(X,Y)),'SKOLEMAAAV2','SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[68,1696]) ).
cnf(1702,plain,
$false,
inference('REWRITE',[status(thm)],[1659,1701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV403+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 20:06:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T20:06:39
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-14T20:06:39
% 150.27/150.47
% 150.27/150.47
% 150.27/150.47 #||
% 150.27/150.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 150.27/150.47 % SZS output start Refutation
% See solution above
% 150.27/150.48 ||#
% 150.27/150.48
% 150.27/150.48 ; Summary of computation:
% 150.27/150.48 ; 41165 formulas have been input or derived (from 222 formulas).
% 150.27/150.48 ; 1702 ( 4%) were retained. Of these,
% 150.27/150.48 ; 615 (36%) were simplified or subsumed later,
% 150.27/150.48 ; 1087 (64%) are still being kept.
% 150.27/150.48 ;
% 150.27/150.48 ; Run time in seconds excluding printing time:
% 150.27/150.48 ; 0.006 0% Read assertion file (1 call)
% 150.27/150.48 ; 0.001 0% Assert (19 calls)
% 150.27/150.48 ; 0.476 0% Process new row (41,006 calls)
% 150.27/150.48 ; 1.113 1% Resolution (442 calls)
% 150.27/150.48 ; 0.031 0% Paramodulation (221 calls)
% 150.27/150.48 ; 0.001 0% Factoring (162 calls)
% 150.27/150.48 ; 40.703 27% Condensing (36,099 calls)
% 150.27/150.48 ; 9.664 6% Forward subsumption (36,099 calls)
% 150.27/150.48 ; 0.076 0% Backward subsumption (1,647 calls)
% 150.27/150.48 ; 94.824 63% Clause clause subsumption (1,483,649 calls)
% 150.27/150.48 ; 2.538 2% Forward simplification (40,992 calls)
% 150.27/150.48 ; 0.036 0% Backward simplification (1,702 calls)
% 150.27/150.48 ; 0.294 0% Ordering (316,277 calls)
% 150.27/150.48 ; 0.000 0% Sortal reasoning (32 calls)
% 150.27/150.48 ; 0.000 0% Purity testing (1 call)
% 150.27/150.48 ; 0.209 0% Other
% 150.27/150.48 ; 149.972 Total
% 150.27/150.48 ; 149.997 Real time
% 150.27/150.48 ;
% 150.27/150.48 ; Term-hash-array has 3,190 terms in all.
% 150.27/150.48 ; Feature-vector-row-index has 1,041 entries (1,602 at peak, 1,647 added, 606 deleted).
% 150.27/150.48 ; Feature-vector-row-index has 2,506 nodes (6,387 at peak, 6,756 added, 4,250 deleted).
% 150.27/150.48 ; Retrieved 3,332,209 possibly forward subsuming rows in 36,099 calls.
% 150.27/150.48 ; Retrieved 11,660 possibly backward subsumed rows in 1,647 calls.
% 150.27/150.48 ; Path-index has 2,176 entries (3,124 at peak, 3,210 added, 1,034 deleted).
% 150.27/150.48 ; Path-index has 3,512 nodes (4,041 at peak, 4,291 added, 779 deleted).
% 150.27/150.48 ; Trie-index has 2,176 entries (3,124 at peak, 3,210 added, 1,034 deleted).
% 150.27/150.48 ; Trie-index has 5,415 nodes (12,609 at peak, 13,356 added, 7,941 deleted).
% 150.27/150.48 ; Retrieved 359,249 generalization terms in 403,977 calls.
% 150.27/150.48 ; Retrieved 76 instance terms in 54 calls.
% 150.27/150.48 ; Retrieved 62,912 unifiable terms in 3,377 calls.
% 150.27/150.48 ;
% 150.27/150.48 ; The agenda of backward simplifiable rows to process has 43 entries:
% 150.27/150.48 ; 43 with value 0
% 150.27/150.48 ; The agenda of rows to process has 5 entries:
% 150.27/150.48 ; 2 with value 6 1 with value 9 1 with value 12
% 150.27/150.48 ; 1 with value 8
% 150.27/150.48 ; The agenda of rows to give has 956 entries:
% 150.27/150.48 ; 1 with value (4 5) 23 with value (4 48) 25 with value (4 66)
% 150.27/150.48 ; 1 with value (4 6) 13 with value (4 49) 122 with value (4 67)
% 150.27/150.48 ; 1 with value (4 10) 29 with value (4 50) 33 with value (4 68)
% 150.27/150.48 ; 1 with value (4 11) 5 with value (4 51) 1 with value (4 69)
% 150.27/150.48 ; 1 with value (4 13) 16 with value (4 52) 18 with value (4 70)
% 150.27/150.48 ; 1 with value (4 14) 3 with value (4 53) 147 with value (4 71)
% 150.27/150.48 ; 1 with value (4 16) 28 with value (4 54) 17 with value (4 72)
% 150.27/150.48 ; 1 with value (4 17) 27 with value (4 55) 10 with value (4 73)
% 150.27/150.48 ; 1 with value (4 23) 16 with value (4 56) 4 with value (4 74)
% 150.27/150.48 ; 1 with value (4 29) 1 with value (4 57) 1 with value (4 75)
% 150.27/150.48 ; 1 with value (4 35) 35 with value (4 58) 4 with value (4 76)
% 150.27/150.48 ; 4 with value (4 41) 38 with value (4 59) 14 with value (4 78)
% 150.27/150.48 ; 8 with value (4 42) 23 with value (4 60) 23 with value (4 79)
% 150.27/150.48 ; 1 with value (4 43) 7 with value (4 61) 26 with value (4 80)
% 150.27/150.48 ; 18 with value (4 44) 22 with value (4 62) 1 with value (4 84)
% 150.27/150.48 ; 10 with value (4 45) 94 with value (4 63) 1 with value (4 85)
% 150.27/150.48 ; 19 with value (4 46) 33 with value (4 64) 2 with value (4 90)
% 150.27/150.48 ; 14 with value (4 47) 7 with value (4 65) 2 with value (4 94)
% 150.27/150.48 Evaluation took:
% 150.27/150.48 149.999 seconds of real time
% 150.27/150.48 146.42522 seconds of user run time
% 150.27/150.48 3.550561 seconds of system run time
% 150.27/150.48 [Run times include 6.087 seconds GC run time.]
% 150.27/150.48 0 calls to %EVAL
% 150.27/150.48 0 page faults and
% 150.27/150.48 20,369,185,472 bytes consed.
% 150.27/150.48 :PROOF-FOUND
% 150.27/150.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T20:09:09
% 150.27/150.48 :PROOF-FOUND
% 150.27/150.48 *
%------------------------------------------------------------------------------