%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX222+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n002.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 0.36s 0.61s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 17 ( 3 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(29,axiom,
( nf(lam(X))
| ~ nf(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_026) ).
cnf(30,axiom,
nf(var(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_027) ).
cnf(32,axiom,
index(cons(X,Y),zero) = just(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_029) ).
cnf(39,axiom,
( tc(X,lam(Y),arr(Z,U))
| ~ tc(cons(Z,X),Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_033) ).
cnf(42,axiom,
( index(X,Y) != just(Z)
| tc(X,var(Y),U)
| Z != U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_035) ).
cnf(43,negated_conjecture,
( ~ nf(X)
| ~ tc(nil,X,arr(a,arr(b,b))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_036) ).
cnf(44,plain,
nf(lam(var(X))),
inference('HYPERRESOLVE',[status(thm)],[29,30]) ).
cnf(80,plain,
tc(cons(X,Y),var(zero),X),
inference('HYPERRESOLVE',[status(thm)],[42,32,theory(equality)]) ).
cnf(84,plain,
nf(lam(lam(var(X)))),
inference('HYPERRESOLVE',[status(thm)],[29,44]) ).
cnf(116,plain,
tc(X,lam(var(zero)),arr(Y,Y)),
inference('HYPERRESOLVE',[status(thm)],[39,80]) ).
cnf(140,plain,
~ tc(nil,lam(lam(var(X))),arr(a,arr(b,b))),
inference('UR-RESOLVE',[status(thm)],[43,84]) ).
cnf(617,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[39,140,116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWX222+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.12/0.31 % Computer : n002.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue May 5 12:33:16 EDT 2026
% 0.12/0.31 % CPUTime :
% 0.17/0.40 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.41 *
% 0.17/0.41 *
% 0.17/0.42 #<PACKAGE "SNARK-USER">
% 0.17/0.42 *
% 0.17/0.42 SNARK-TPTP-OPTIONS
% 0.17/0.42 *
% 0.17/0.42 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.42 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.42 (USE-FACTORING :POS)
% 0.17/0.42 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.42 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.42 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.42 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.42 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.42 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.42 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.42 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.42 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.42 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.42 *
% 0.17/0.42 "."
% 0.17/0.42 *
% 0.17/0.42 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T12:33:16
% 0.17/0.42 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n002.cluster.edu at 2026-05-05T12:33:16
% 0.36/0.61
% 0.36/0.61
% 0.36/0.61 #||
% 0.36/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.61 % SZS output start Refutation
% See solution above
% 0.36/0.61 ||#
% 0.36/0.61
% 0.36/0.61 ; Summary of computation:
% 0.36/0.61 ; 1796 formulas have been input or derived (from 211 formulas).
% 0.36/0.61 ; 617 (34%) were retained. Of these,
% 0.36/0.61 ; 617 (100%) are still being kept.
% 0.36/0.61 ;
% 0.36/0.61 ; Run time in seconds excluding printing time:
% 0.36/0.61 ; 0.005 3% Read assertion file (1 call)
% 0.36/0.61 ; 0.002 1% Assert (36 calls)
% 0.36/0.61 ; 0.064 33% Process new row (1,706 calls)
% 0.36/0.61 ; 0.045 23% Resolution (420 calls)
% 0.36/0.61 ; 0.004 2% Paramodulation (210 calls)
% 0.36/0.61 ; 0.000 0% Condensing (20 calls)
% 0.36/0.61 ; 0.000 0% Forward subsumption (20 calls)
% 0.36/0.61 ; 0.001 1% Backward subsumption (20 calls)
% 0.36/0.61 ; 0.000 0% Clause clause subsumption (9 calls)
% 0.36/0.61 ; 0.030 16% Forward simplification (1,706 calls)
% 0.36/0.61 ; 0.010 5% Backward simplification (617 calls)
% 0.36/0.61 ; 0.000 0% Ordering (243 calls)
% 0.36/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.61 ; 0.000 0% Purity testing (1 call)
% 0.36/0.61 ; 0.031 16% Other
% 0.36/0.61 ; 0.192 Total
% 0.36/0.61 ; 0.194 Real time
% 0.36/0.61 ;
% 0.36/0.61 ; Term-hash-array has 1,343 terms in all.
% 0.36/0.61 ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.36/0.61 ; Feature-vector-row-index has 93 nodes (93 at peak, 93 added, 0 deleted).
% 0.36/0.61 ; Retrieved 4 possibly forward subsuming rows in 20 calls.
% 0.36/0.61 ; Retrieved 5 possibly backward subsumed rows in 20 calls.
% 0.36/0.61 ; Path-index has 1,349 entries (1,349 at peak, 1,349 added, 0 deleted).
% 0.36/0.61 ; Path-index has 2,085 nodes (2,085 at peak, 2,085 added, 0 deleted).
% 0.36/0.61 ; Trie-index has 1,349 entries (1,349 at peak, 1,349 added, 0 deleted).
% 0.36/0.61 ; Trie-index has 4,689 nodes (4,689 at peak, 4,689 added, 0 deleted).
% 0.36/0.61 ; Retrieved 2,550 generalization terms in 3,273 calls.
% 0.36/0.61 ; Retrieved 633 instance terms in 596 calls.
% 0.36/0.61 ; Retrieved 14,061 unifiable terms in 2,720 calls.
% 0.36/0.61 ;
% 0.36/0.61 ; The agenda of rows to process has 3 entries:
% 0.36/0.61 ; 1 with value 17 1 with value 21 1 with value 23
% 0.36/0.61 ; The agenda of rows to give has 406 entries:
% 0.36/0.61 ; 63 with value (4 18) 21 with value (4 23) 16 with value (4 28)
% 0.36/0.61 ; 38 with value (4 19) 13 with value (4 24) 8 with value (4 29)
% 0.36/0.61 ; 90 with value (4 20) 10 with value (4 25) 14 with value (4 31)
% 0.36/0.61 ; 49 with value (4 21) 2 with value (4 26) 9 with value (4 32)
% 0.36/0.61 ; 63 with value (4 22) 9 with value (4 27) 1 with value (4 33)
% 0.36/0.61 Evaluation took:
% 0.36/0.61 0.195 seconds of real time
% 0.36/0.61 0.17968 seconds of user run time
% 0.36/0.61 0.015138 seconds of system run time
% 0.36/0.61 0 calls to %EVAL
% 0.36/0.61 0 page faults and
% 0.36/0.61 10,804,120 bytes consed.
% 0.36/0.61 :PROOF-FOUND
% 0.36/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T12:33:16
% 0.36/0.61 :PROOF-FOUND
% 0.36/0.61 *
%------------------------------------------------------------------------------