%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX219+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 : 300s
% DateTime : Tue May 5 07:07:15 PM UTC 2026
% Result : Theorem 5.03s 5.25s
% Output : Refutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 11 RR)
% Number of literals : 24 ( 8 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 38 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(25,axiom,
index(cons(X,Y),zero) = just(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_025) ).
cnf(26,axiom,
index(cons(X,Y),suc(Z)) = index(Y,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_026) ).
cnf(29,axiom,
( tc(X,app(Y,Z,U),V)
| ~ tc(X,Y,arr(U,V))
| ~ tc(X,Z,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_027) ).
cnf(32,axiom,
( tc(X,lam(Y),arr(Z,U))
| ~ tc(cons(Z,X),Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_029) ).
cnf(35,axiom,
( index(X,Y) != just(Z)
| tc(X,var(Y),U)
| Z != U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_031) ).
cnf(36,negated_conjecture,
~ tc(nil,X,arr(arr(b,c),arr(arr(a,b),arr(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_032) ).
cnf(42,plain,
~ tc(cons(arr(b,c),nil),X,arr(arr(a,b),arr(a,c))),
inference('UR-RESOLVE',[status(thm)],[32,36]) ).
cnf(71,plain,
tc(cons(X,Y),var(zero),X),
inference('HYPERRESOLVE',[status(thm)],[35,25,theory(equality)]) ).
cnf(73,plain,
( index(X,Y) != just(Z)
| tc(cons(U,X),var(suc(Y)),V)
| Z != V ),
inference('PARAMODULATE',[status(thm)],[35,26,theory(equality)]) ).
cnf(463,plain,
~ tc(cons(arr(a,b),cons(arr(b,c),nil)),X,arr(a,c)),
inference('UR-RESOLVE',[status(thm)],[32,42]) ).
cnf(962,plain,
~ tc(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X,c),
inference('UR-RESOLVE',[status(thm)],[32,463]) ).
cnf(2728,plain,
tc(cons(X,cons(Y,Z)),var(suc(zero)),Y),
inference('HYPERRESOLVE',[status(thm)],[73,25,theory(equality)]) ).
cnf(2740,plain,
tc(cons(X,cons(arr(X,Y),Z)),app(var(suc(zero)),var(zero),X),Y),
inference('HYPERRESOLVE',[status(thm)],[29,2728,71]) ).
cnf(3226,plain,
~ tc(cons(a,cons(arr(a,b),cons(arr(b,c),nil))),X,arr(b,c)),
inference('UR-RESOLVE',[status(thm)],[29,2740,962]) ).
cnf(5854,plain,
index(cons(arr(a,b),cons(arr(b,c),nil)),X) != just(arr(b,c)),
inference('UR-RESOLVE',[status(thm)],[73,3226,theory(equality)]) ).
cnf(8517,plain,
index(cons(arr(b,c),nil),X) != just(arr(b,c)),
inference('PARAMODULATE',[status(thm)],[5854,26,theory(equality)]) ).
cnf(8523,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[8517,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX219+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.16/0.34 % Computer : n023.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 12:22:38 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.30/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.47 *
% 0.30/0.47 *
% 0.30/0.47 #<PACKAGE "SNARK-USER">
% 0.30/0.47 *
% 0.30/0.47 SNARK-TPTP-OPTIONS
% 0.30/0.47 *
% 0.30/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.30/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.30/0.47 (USE-FACTORING :POS)
% 0.30/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.30/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.30/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.30/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.30/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.30/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.30/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.30/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.30/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.30/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.30/0.47 *
% 0.30/0.47 "."
% 0.30/0.47 *
% 0.30/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T12:22:38
% 0.30/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2026-05-05T12:22:38
% 5.03/5.25
% 5.03/5.25
% 5.03/5.25 #||
% 5.03/5.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.03/5.25 % SZS output start Refutation
% See solution above
% 5.03/5.26 ||#
% 5.03/5.26
% 5.03/5.26 ; Summary of computation:
% 5.03/5.26 ; 49584 formulas have been input or derived (from 2325 formulas).
% 5.03/5.26 ; 8523 (17%) were retained. Of these,
% 5.03/5.26 ; 67 ( 1%) were simplified or subsumed later,
% 5.03/5.26 ; 8456 (99%) are still being kept.
% 5.03/5.26 ;
% 5.03/5.26 ; Run time in seconds excluding printing time:
% 5.03/5.26 ; 0.005 0% Read assertion file (1 call)
% 5.03/5.26 ; 0.002 0% Assert (32 calls)
% 5.03/5.26 ; 0.843 18% Process new row (41,993 calls)
% 5.03/5.26 ; 2.871 60% Resolution (4,648 calls)
% 5.03/5.26 ; 0.232 5% Paramodulation (2,324 calls)
% 5.03/5.26 ; 0.000 0% Condensing (20 calls)
% 5.03/5.26 ; 0.001 0% Forward subsumption (20 calls)
% 5.03/5.26 ; 0.001 0% Backward subsumption (20 calls)
% 5.03/5.26 ; 0.000 0% Clause clause subsumption (13 calls)
% 5.03/5.26 ; 0.507 11% Forward simplification (41,993 calls)
% 5.03/5.26 ; 0.137 3% Backward simplification (8,523 calls)
% 5.03/5.26 ; 0.000 0% Ordering (791 calls)
% 5.03/5.26 ; 0.000 0% Sortal reasoning (32 calls)
% 5.03/5.26 ; 0.000 0% Purity testing (1 call)
% 5.03/5.26 ; 0.182 4% Other
% 5.03/5.26 ; 4.781 Total
% 5.03/5.26 ; 4.783 Real time
% 5.03/5.26 ;
% 5.03/5.26 ; Term-hash-array has 17,062 terms in all.
% 5.03/5.26 ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 5.03/5.26 ; Feature-vector-row-index has 121 nodes (121 at peak, 121 added, 0 deleted).
% 5.03/5.26 ; Retrieved 12 possibly forward subsuming rows in 20 calls.
% 5.03/5.26 ; Retrieved 1 possibly backward subsumed row in 20 calls.
% 5.03/5.26 ; Path-index has 16,959 entries (16,959 at peak, 17,102 added, 143 deleted).
% 5.03/5.26 ; Path-index has 12,762 nodes (12,762 at peak, 12,762 added, 0 deleted).
% 5.03/5.26 ; Trie-index has 16,959 entries (16,959 at peak, 17,102 added, 143 deleted).
% 5.03/5.26 ; Trie-index has 70,502 nodes (70,502 at peak, 70,801 added, 299 deleted).
% 5.03/5.26 ; Retrieved 57,982 generalization terms in 63,925 calls.
% 5.03/5.26 ; Retrieved 12,567 instance terms in 8,502 calls.
% 5.03/5.26 ; Retrieved 1,196,294 unifiable terms in 57,428 calls.
% 5.03/5.26 ;
% 5.03/5.26 ; The agenda of rows to process has 17 entries:
% 5.03/5.26 ; 1 with value 18 2 with value 28 2 with value 32
% 5.03/5.26 ; 1 with value 19 2 with value 29 1 with value 33
% 5.03/5.26 ; 1 with value 26 2 with value 30 1 with value 34
% 5.03/5.26 ; 2 with value 27 2 with value 31
% 5.03/5.26 ; The agenda of rows to give has 6138 entries:
% 5.03/5.26 ; 11 with value (4 26) 38 with value (4 39) 11 with value (4 51)
% 5.03/5.26 ; 610 with value (4 27) 29 with value (4 40) 7 with value (4 52)
% 5.03/5.26 ; 1056 with value (4 28) 28 with value (4 41) 3 with value (4 53)
% 5.03/5.26 ; 923 with value (4 29) 22 with value (4 42) 3 with value (4 54)
% 5.03/5.26 ; 1059 with value (4 30) 30 with value (4 43) 5 with value (4 55)
% 5.03/5.26 ; 1192 with value (4 31) 20 with value (4 44) 4 with value (4 56)
% 5.03/5.26 ; 218 with value (4 32) 17 with value (4 45) 1 with value (4 57)
% 5.03/5.26 ; 204 with value (4 33) 23 with value (4 46) 3 with value (4 58)
% 5.03/5.26 ; 171 with value (4 34) 12 with value (4 47) 1 with value (4 59)
% 5.03/5.26 ; 130 with value (4 35) 14 with value (4 48) 2 with value (4 61)
% 5.03/5.26 ; 176 with value (4 36) 8 with value (4 49) 1 with value (4 67)
% 5.03/5.26 ; 58 with value (4 37) 4 with value (4 50) 1 with value (4 69)
% 5.03/5.26 ; 43 with value (4 38)
% 5.03/5.26 Evaluation took:
% 5.03/5.26 4.784 seconds of real time
% 5.03/5.26 4.570108 seconds of user run time
% 5.03/5.26 0.213999 seconds of system run time
% 5.03/5.26 [Run times include 0.399 seconds GC run time.]
% 5.03/5.26 0 calls to %EVAL
% 5.03/5.26 0 page faults and
% 5.03/5.26 236,488,128 bytes consed.
% 5.03/5.26 :PROOF-FOUND
% 5.03/5.26 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T12:22:43
% 5.03/5.26 :PROOF-FOUND
% 5.03/5.26 *
%------------------------------------------------------------------------------