%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX220+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 28.53s 28.79s
% Output : Refutation 28.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 9 RR)
% Number of literals : 25 ( 8 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 43 ( 16 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(b,c)),arr(b,arr(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_032) ).
cnf(42,plain,
~ tc(cons(arr(a,arr(b,c)),nil),X,arr(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(640,plain,
~ tc(cons(b,cons(arr(a,arr(b,c)),nil)),X,arr(a,c)),
inference('UR-RESOLVE',[status(thm)],[32,42]) ).
cnf(1171,plain,
~ tc(cons(a,cons(b,cons(arr(a,arr(b,c)),nil))),X,c),
inference('UR-RESOLVE',[status(thm)],[32,640]) ).
cnf(2661,plain,
tc(cons(X,cons(Y,Z)),var(suc(zero)),Y),
inference('HYPERRESOLVE',[status(thm)],[73,25,theory(equality)]) ).
cnf(2666,plain,
( index(X,Y) != just(Z)
| tc(cons(U,cons(V,X)),var(suc(suc(Y))),W)
| Z != W ),
inference('PARAMODULATE',[status(thm)],[73,26,theory(equality)]) ).
cnf(2671,plain,
~ tc(cons(a,cons(b,cons(arr(a,arr(b,c)),nil))),X,arr(b,c)),
inference('UR-RESOLVE',[status(thm)],[29,2661,1171]) ).
cnf(19165,plain,
tc(cons(X,cons(Y,cons(Z,U))),var(suc(suc(zero))),Z),
inference('HYPERRESOLVE',[status(thm)],[2666,25,theory(equality)]) ).
cnf(19168,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[29,19165,2671,71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX220+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.16/0.34 % Computer : n029.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 12:25:29 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.27/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.27/0.48 *
% 0.27/0.48 *
% 0.27/0.48 #<PACKAGE "SNARK-USER">
% 0.27/0.48 *
% 0.27/0.48 SNARK-TPTP-OPTIONS
% 0.27/0.48 *
% 0.27/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.27/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.27/0.48 (USE-FACTORING :POS)
% 0.27/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.27/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.27/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.27/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.27/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.27/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.27/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.27/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.27/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.27/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.27/0.48 *
% 0.27/0.48 "."
% 0.27/0.48 *
% 0.27/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T12:25:29
% 0.27/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2026-05-05T12:25:29
% 28.53/28.79
% 28.53/28.79
% 28.53/28.79 #||
% 28.53/28.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.53/28.79 % SZS output start Refutation
% See solution above
% 28.53/28.79 ||#
% 28.53/28.79
% 28.53/28.79 ; Summary of computation:
% 28.53/28.79 ; 152331 formulas have been input or derived (from 4305 formulas).
% 28.53/28.79 ; 19168 (13%) were retained. Of these,
% 28.53/28.79 ; 226 ( 1%) were simplified or subsumed later,
% 28.53/28.79 ; 18942 (99%) are still being kept.
% 28.53/28.79 ;
% 28.53/28.79 ; Run time in seconds excluding printing time:
% 28.53/28.79 ; 0.006 0% Read assertion file (1 call)
% 28.53/28.79 ; 0.001 0% Assert (32 calls)
% 28.53/28.79 ; 2.138 8% Process new row (120,959 calls)
% 28.53/28.79 ; 22.673 80% Resolution (8,608 calls)
% 28.53/28.79 ; 1.065 4% Paramodulation (4,304 calls)
% 28.53/28.79 ; 0.000 0% Condensing (24 calls)
% 28.53/28.79 ; 0.000 0% Forward subsumption (24 calls)
% 28.53/28.79 ; 0.000 0% Backward subsumption (24 calls)
% 28.53/28.79 ; 0.000 0% Clause clause subsumption (19 calls)
% 28.53/28.79 ; 1.620 6% Forward simplification (120,959 calls)
% 28.53/28.79 ; 0.397 1% Backward simplification (19,168 calls)
% 28.53/28.79 ; 0.004 0% Ordering (1,781 calls)
% 28.53/28.79 ; 0.000 0% Sortal reasoning (32 calls)
% 28.53/28.79 ; 0.000 0% Purity testing (1 call)
% 28.53/28.79 ; 0.407 1% Other
% 28.53/28.79 ; 28.311 Total
% 28.53/28.79 ; 28.311 Real time
% 28.53/28.80 ;
% 28.53/28.80 ; Term-hash-array has 36,753 terms in all.
% 28.53/28.80 ; Feature-vector-row-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 28.53/28.80 ; Feature-vector-row-index has 161 nodes (161 at peak, 161 added, 0 deleted).
% 28.53/28.80 ; Retrieved 18 possibly forward subsuming rows in 24 calls.
% 28.53/28.80 ; Retrieved 1 possibly backward subsumed row in 24 calls.
% 28.53/28.80 ; Path-index has 36,414 entries (36,414 at peak, 36,915 added, 501 deleted).
% 28.53/28.80 ; Path-index has 21,401 nodes (21,401 at peak, 21,412 added, 11 deleted).
% 28.53/28.80 ; Trie-index has 36,414 entries (36,414 at peak, 36,915 added, 501 deleted).
% 28.63/28.80 ; Trie-index has 170,101 nodes (170,101 at peak, 170,843 added, 742 deleted).
% 28.63/28.80 ; Retrieved 170,907 generalization terms in 175,627 calls.
% 28.63/28.80 ; Retrieved 29,075 instance terms in 19,143 calls.
% 28.63/28.80 ; Retrieved 12,764,052 unifiable terms in 147,557 calls.
% 28.63/28.80 ;
% 28.63/28.80 ; The agenda of rows to process has 3868 entries:
% 28.63/28.80 ; 1 with value 8 95 with value 27 198 with value 40
% 28.63/28.80 ; 1 with value 14 173 with value 28 100 with value 41
% 28.63/28.80 ; 6 with value 15 218 with value 29 119 with value 42
% 28.63/28.80 ; 2 with value 16 195 with value 30 80 with value 43
% 28.63/28.80 ; 6 with value 17 339 with value 31 93 with value 44
% 28.63/28.80 ; 13 with value 18 221 with value 32 8 with value 45
% 28.63/28.80 ; 8 with value 19 416 with value 33 8 with value 46
% 28.63/28.80 ; 12 with value 20 236 with value 34 8 with value 47
% 28.63/28.80 ; 21 with value 21 232 with value 35 6 with value 48
% 28.63/28.80 ; 37 with value 22 243 with value 36 1 with value 49
% 28.63/28.80 ; 31 with value 23 166 with value 37 1 with value 50
% 28.63/28.80 ; 49 with value 24 196 with value 38 1 with value 52
% 28.63/28.80 ; 58 with value 25 174 with value 39 1 with value 54
% 28.63/28.80 ; 95 with value 26
% 28.63/28.80 ; The agenda of rows to give has 14643 entries:
% 28.63/28.80 ; 1158 with value (4 29) 100 with value (4 46) 10 with value (4 63)
% 28.63/28.80 ; 1754 with value (4 30) 86 with value (4 47) 9 with value (4 64)
% 28.63/28.80 ; 2250 with value (4 31) 77 with value (4 48) 7 with value (4 65)
% 28.63/28.80 ; 1826 with value (4 32) 62 with value (4 49) 5 with value (4 66)
% 28.63/28.80 ; 2649 with value (4 33) 52 with value (4 50) 9 with value (4 67)
% 28.63/28.80 ; 541 with value (4 34) 47 with value (4 51) 4 with value (4 68)
% 28.63/28.80 ; 606 with value (4 35) 42 with value (4 52) 5 with value (4 69)
% 28.63/28.80 ; 580 with value (4 36) 27 with value (4 53) 5 with value (4 70)
% 28.63/28.80 ; 517 with value (4 37) 23 with value (4 54) 4 with value (4 72)
% 28.63/28.80 ; 597 with value (4 38) 26 with value (4 55) 4 with value (4 73)
% 28.63/28.80 ; 261 with value (4 39) 22 with value (4 56) 1 with value (4 74)
% 28.63/28.80 ; 281 with value (4 40) 16 with value (4 57) 1 with value (4 75)
% 28.63/28.80 ; 277 with value (4 41) 22 with value (4 58) 4 with value (4 78)
% 28.63/28.80 ; 221 with value (4 42) 12 with value (4 59) 2 with value (4 79)
% 28.63/28.80 ; 162 with value (4 43) 8 with value (4 60) 1 with value (4 80)
% 28.63/28.80 ; 132 with value (4 44) 11 with value (4 61) 1 with value (4 83)
% 28.63/28.80 ; 117 with value (4 45) 8 with value (4 62) 1 with value (4 91)
% 28.63/28.80 Evaluation took:
% 28.63/28.80 28.313 seconds of real time
% 28.63/28.80 27.604889 seconds of user run time
% 28.63/28.80 0.70997 seconds of system run time
% 28.63/28.80 [Run times include 2.178 seconds GC run time.]
% 28.63/28.80 0 calls to %EVAL
% 28.63/28.80 0 page faults and
% 28.63/28.80 809,256,200 bytes consed.
% 28.63/28.80 :PROOF-FOUND
% 28.63/28.80 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T12:25:57
% 28.63/28.80 :PROOF-FOUND
% 28.63/28.80 *
%------------------------------------------------------------------------------