%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX224+1 : TPTP v9.3.0. Released v9.3.0.
% 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 : 300s
% DateTime : Tue May 5 07:07:15 PM UTC 2026
% Result : Theorem 1.02s 1.25s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 6 equ; 11 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 : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(25,axiom,
index(cons(X,Y),zero) = just(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_025) ).
cnf(26,axiom,
index(cons(X,Y),suc(Z)) = index(Y,Z),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_027) ).
cnf(32,axiom,
( tc(X,lam(Y),arr(Z,U))
| ~ tc(cons(Z,X),Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_029) ).
cnf(35,axiom,
( index(X,Y) != just(Z)
| tc(X,var(Y),U)
| Z != U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_031) ).
cnf(36,negated_conjecture,
~ tc(nil,X,arr(arr(a,arr(a,b)),arr(a,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_032) ).
cnf(44,plain,
~ tc(cons(arr(a,arr(a,b)),nil),X,arr(a,b)),
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(375,plain,
~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X,b),
inference('UR-RESOLVE',[status(thm)],[32,44]) ).
cnf(758,plain,
~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),X,arr(a,b)),
inference('UR-RESOLVE',[status(thm)],[29,375,71]) ).
cnf(2775,plain,
tc(cons(X,cons(Y,Z)),var(suc(zero)),Y),
inference('HYPERRESOLVE',[status(thm)],[73,25,theory(equality)]) ).
cnf(2778,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[29,2775,758,71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX224+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 12:38:12 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.46 *
% 0.29/0.46 *
% 0.29/0.47 #<PACKAGE "SNARK-USER">
% 0.29/0.47 *
% 0.29/0.47 SNARK-TPTP-OPTIONS
% 0.29/0.47 *
% 0.29/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.29/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.29/0.47 (USE-FACTORING :POS)
% 0.29/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.29/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.29/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.29/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.29/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.29/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.29/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.29/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.29/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.29/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.29/0.47 *
% 0.29/0.47 "."
% 0.29/0.47 *
% 0.29/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T12:38:12
% 0.29/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2026-05-05T12:38:12
% 1.02/1.25
% 1.02/1.25
% 1.02/1.25 #||
% 1.02/1.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.02/1.25 % SZS output start Refutation
% See solution above
% 1.02/1.25 ||#
% 1.02/1.25
% 1.02/1.25 ; Summary of computation:
% 1.02/1.25 ; 10544 formulas have been input or derived (from 944 formulas).
% 1.02/1.25 ; 2778 (26%) were retained. Of these,
% 1.02/1.25 ; 2 ( 0%) were simplified or subsumed later,
% 1.02/1.25 ; 2776 (100%) are still being kept.
% 1.02/1.25 ;
% 1.02/1.25 ; Run time in seconds excluding printing time:
% 1.02/1.25 ; 0.006 1% Read assertion file (1 call)
% 1.02/1.25 ; 0.000 0% Assert (32 calls)
% 1.02/1.25 ; 0.224 29% Process new row (8,870 calls)
% 1.02/1.25 ; 0.271 35% Resolution (1,886 calls)
% 1.02/1.25 ; 0.065 8% Paramodulation (943 calls)
% 1.02/1.25 ; 0.000 0% Condensing (19 calls)
% 1.02/1.25 ; 0.000 0% Forward subsumption (19 calls)
% 1.02/1.25 ; 0.000 0% Backward subsumption (19 calls)
% 1.02/1.25 ; 0.000 0% Clause clause subsumption (10 calls)
% 1.02/1.25 ; 0.116 15% Forward simplification (8,870 calls)
% 1.02/1.25 ; 0.029 4% Backward simplification (2,778 calls)
% 1.02/1.25 ; 0.001 0% Ordering (312 calls)
% 1.02/1.25 ; 0.000 0% Sortal reasoning (32 calls)
% 1.02/1.25 ; 0.000 0% Purity testing (1 call)
% 1.02/1.25 ; 0.069 9% Other
% 1.02/1.25 ; 0.781 Total
% 1.02/1.25 ; 0.783 Real time
% 1.02/1.25 ;
% 1.02/1.25 ; Term-hash-array has 5,993 terms in all.
% 1.02/1.25 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 1.02/1.25 ; Feature-vector-row-index has 113 nodes (113 at peak, 113 added, 0 deleted).
% 1.02/1.25 ; Retrieved 9 possibly forward subsuming rows in 19 calls.
% 1.02/1.25 ; Retrieved 1 possibly backward subsumed row in 19 calls.
% 1.02/1.25 ; Path-index has 5,997 entries (5,997 at peak, 5,999 added, 2 deleted).
% 1.02/1.25 ; Path-index has 6,624 nodes (6,624 at peak, 6,624 added, 0 deleted).
% 1.02/1.25 ; Trie-index has 5,997 entries (5,997 at peak, 5,999 added, 2 deleted).
% 1.02/1.25 ; Trie-index has 23,029 nodes (23,029 at peak, 23,030 added, 1 deleted).
% 1.02/1.25 ; Retrieved 13,241 generalization terms in 15,941 calls.
% 1.02/1.25 ; Retrieved 2,948 instance terms in 2,758 calls.
% 1.02/1.25 ; Retrieved 80,414 unifiable terms in 16,123 calls.
% 1.02/1.25 ;
% 1.02/1.25 ; The agenda of rows to process has 649 entries:
% 1.02/1.25 ; 1 with value 7 38 with value 21 41 with value 30
% 1.02/1.25 ; 1 with value 13 37 with value 22 17 with value 31
% 1.02/1.25 ; 6 with value 14 45 with value 23 29 with value 32
% 1.02/1.25 ; 2 with value 15 78 with value 24 13 with value 33
% 1.02/1.25 ; 6 with value 16 41 with value 25 11 with value 34
% 1.02/1.25 ; 16 with value 17 75 with value 26 5 with value 35
% 1.02/1.25 ; 19 with value 18 33 with value 27 1 with value 36
% 1.02/1.25 ; 26 with value 19 32 with value 28 4 with value 37
% 1.02/1.25 ; 21 with value 20 50 with value 29 1 with value 43
% 1.02/1.25 ; The agenda of rows to give has 1832 entries:
% 1.02/1.25 ; 197 with value (4 24) 13 with value (4 32) 2 with value (4 40)
% 1.02/1.25 ; 318 with value (4 25) 10 with value (4 33) 2 with value (4 42)
% 1.02/1.25 ; 403 with value (4 26) 5 with value (4 34) 2 with value (4 43)
% 1.02/1.25 ; 284 with value (4 27) 2 with value (4 35) 1 with value (4 44)
% 1.02/1.25 ; 529 with value (4 28) 3 with value (4 36) 1 with value (4 45)
% 1.02/1.25 ; 20 with value (4 29) 1 with value (4 37) 1 with value (4 48)
% 1.02/1.25 ; 17 with value (4 30) 1 with value (4 38) 1 with value (4 53)
% 1.02/1.25 ; 17 with value (4 31) 1 with value (4 39) 1 with value (4 56)
% 1.02/1.25 Evaluation took:
% 1.02/1.25 0.784 seconds of real time
% 1.02/1.25 0.720367 seconds of user run time
% 1.02/1.25 0.062783 seconds of system run time
% 1.02/1.25 [Run times include 0.05 seconds GC run time.]
% 1.02/1.25 0 calls to %EVAL
% 1.02/1.25 0 page faults and
% 1.02/1.25 53,109,208 bytes consed.
% 1.02/1.25 :PROOF-FOUND
% 1.02/1.25 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T12:38:13
% 1.02/1.25 :PROOF-FOUND
% 1.02/1.25 *
%------------------------------------------------------------------------------