%------------------------------------------------------------------------------
% 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 : n027.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 : Unsatisfiable 0.40s 0.60s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 16 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 27 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_001,axiom,
aux(X,Y,Z,just(U)) = eq(U,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
cnf(axiom_002,axiom,
notb(btrue) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
cnf(axiom_005,axiom,
index(cons(X,Y),zero) = just(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_007,axiom,
andb(btrue,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
cnf(axiom_012,axiom,
nf(lam(X)) = nf(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
cnf(axiom_013,axiom,
nf(var(X)) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
cnf(axiom_015,axiom,
tc(X,lam(Y),arr(Z,U)) = tc(cons(Z,X),Y,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
cnf(axiom_019,axiom,
tc(X,var(Y),Z) = aux(X,Z,Y,index(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
cnf(axiom_020,axiom,
sat_synth_nf_k(X) = notb(andb(nf(X),tc(nil,X,arr(a,arr(b,b))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
cnf(axiom_051,axiom,
eq(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_051) ).
cnf(axiom_054,axiom,
eq4(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_054) ).
cnf(goal,negated_conjecture,
eq4(sat_synth_nf_k(X),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(59,plain,
tc(cons(X,Y),var(zero),Z) = eq(X,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_019,axiom_005,theory(equality)]),axiom_001,theory(equality)]) ).
cnf(79,plain,
sat_synth_nf_k(lam(X)) = notb(andb(nf(X),tc(cons(a,nil),X,arr(b,b)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_020,axiom_015,theory(equality)]),axiom_012,theory(equality)]) ).
cnf(146,plain,
tc(X,lam(var(zero)),arr(Y,Z)) = eq(Y,Z),
inference('PARAMODULATE',[status(thm)],[axiom_015,59,theory(equality)]) ).
cnf(238,plain,
sat_synth_nf_k(lam(lam(var(zero)))) = bfalse,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[79,146,theory(equality)]),axiom_002,axiom_007,axiom_051,axiom_013,axiom_012,theory(equality)]) ).
cnf(245,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[goal,238,theory(equality)]),axiom_054,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX222-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.18/0.34 % Computer : n027.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 12:35:04 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.33/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/0.48 *
% 0.33/0.48 *
% 0.33/0.48 #<PACKAGE "SNARK-USER">
% 0.33/0.48 *
% 0.33/0.48 SNARK-TPTP-OPTIONS
% 0.33/0.48 *
% 0.33/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.33/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.33/0.48 (USE-FACTORING :POS)
% 0.33/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.33/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.33/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.33/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.33/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.33/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.33/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.33/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.33/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.33/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.33/0.48 *
% 0.33/0.48 "."
% 0.33/0.48 *
% 0.33/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T12:35:04
% 0.33/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2026-05-05T12:35:04
% 0.33/0.50
% 0.40/0.60 ; Recognized left identity assertion (= (|andb| |btrue| ?X) ?X).
% 0.40/0.60
% 0.40/0.60 #||
% 0.40/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.60 % SZS output start Refutation
% See solution above
% 0.40/0.60 ||#
% 0.40/0.60
% 0.40/0.60 ; Summary of computation:
% 0.40/0.60 ; 576 formulas have been input or derived (from 111 formulas).
% 0.40/0.60 ; 245 (43%) were retained. Of these,
% 0.40/0.60 ; 13 ( 5%) were simplified or subsumed later,
% 0.40/0.60 ; 232 (95%) are still being kept.
% 0.40/0.60 ;
% 0.40/0.60 ; Run time in seconds excluding printing time:
% 0.40/0.60 ; 0.008 7% Read assertion file (1 call)
% 0.40/0.60 ; 0.002 2% Assert (56 calls)
% 0.40/0.60 ; 0.027 23% Process new row (556 calls)
% 0.40/0.60 ; 0.006 5% Resolution (220 calls)
% 0.40/0.60 ; 0.011 9% Paramodulation (110 calls)
% 0.40/0.60 ; 0.001 1% Condensing (71 calls)
% 0.40/0.60 ; 0.005 4% Forward subsumption (71 calls)
% 0.40/0.60 ; 0.002 2% Backward subsumption (53 calls)
% 0.40/0.60 ; 0.000 0% Clause clause subsumption (139 calls)
% 0.40/0.60 ; 0.018 15% Forward simplification (556 calls)
% 0.40/0.60 ; 0.004 3% Backward simplification (245 calls)
% 0.40/0.60 ; 0.005 4% Ordering (1,313 calls)
% 0.40/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.60 ; 0.000 0% Purity testing (1 call)
% 0.40/0.60 ; 0.028 24% Other
% 0.40/0.60 ; 0.117 Total
% 0.40/0.60 ; 0.118 Real time
% 0.40/0.60 ;
% 0.40/0.60 ; Term-hash-array has 938 terms in all.
% 0.40/0.60 ; Feature-vector-row-index has 43 entries (43 at peak, 53 added, 10 deleted).
% 0.40/0.60 ; Feature-vector-row-index has 172 nodes (172 at peak, 228 added, 56 deleted).
% 0.40/0.60 ; Retrieved 102 possibly forward subsuming rows in 71 calls.
% 0.40/0.60 ; Retrieved 37 possibly backward subsumed rows in 53 calls.
% 0.40/0.60 ; Path-index has 925 entries (925 at peak, 951 added, 26 deleted).
% 0.40/0.60 ; Path-index has 2,007 nodes (2,007 at peak, 2,016 added, 9 deleted).
% 0.40/0.60 ; Trie-index has 925 entries (925 at peak, 951 added, 26 deleted).
% 0.40/0.60 ; Trie-index has 3,590 nodes (3,590 at peak, 3,654 added, 64 deleted).
% 0.40/0.60 ; Retrieved 922 generalization terms in 1,508 calls.
% 0.40/0.60 ; Retrieved 313 instance terms in 233 calls.
% 0.40/0.60 ; Retrieved 1,886 unifiable terms in 889 calls.
% 0.40/0.60 ;
% 0.40/0.60 ; The agenda of rows to give has 123 entries:
% 0.40/0.60 ; 1 with value (4 16) 18 with value (4 28) 4 with value (4 36)
% 0.40/0.60 ; 1 with value (4 21) 5 with value (4 29) 3 with value (4 37)
% 0.40/0.60 ; 12 with value (4 22) 1 with value (4 30) 2 with value (4 39)
% 0.40/0.60 ; 5 with value (4 23) 2 with value (4 31) 1 with value (4 40)
% 0.40/0.60 ; 5 with value (4 24) 7 with value (4 32) 1 with value (4 41)
% 0.40/0.60 ; 17 with value (4 25) 5 with value (4 33) 1 with value (4 46)
% 0.40/0.60 ; 12 with value (4 26) 5 with value (4 34) 1 with value (4 49)
% 0.40/0.60 ; 5 with value (4 27) 9 with value (4 35)
% 0.40/0.60 Evaluation took:
% 0.40/0.60 0.119 seconds of real time
% 0.40/0.60 0.104895 seconds of user run time
% 0.40/0.60 0.013723 seconds of system run time
% 0.40/0.60 0 calls to %EVAL
% 0.40/0.60 0 page faults and
% 0.40/0.60 7,310,168 bytes consed.
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T12:35:05
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 *
%------------------------------------------------------------------------------