%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 07:07:10 PM UTC 2026
% Result : Theorem 0.30s 0.50s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 8 ( 7 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 14 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
nil != cons(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
cnf(6,axiom,
drop(s(X),nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
cnf(7,axiom,
drop(s(X),cons(Y,Z)) = drop(X,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
cnf(9,negated_conjecture,
( drop(X,Y) != drop(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_009) ).
cnf(11,plain,
drop(X,nil) != drop(X,cons(Y,Z)),
inference('UR-RESOLVE',[status(thm)],[9,3]) ).
cnf(15,plain,
nil != drop(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,6,theory(equality)]),7,theory(equality)]) ).
cnf(16,plain,
$false,
inference('REWRITE',[status(thm)],[6,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.17/0.34 % Computer : n007.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 09:36:53 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.30/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.46 *
% 0.30/0.46 *
% 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 2026-05-05T09:36:53
% 0.30/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2026-05-05T09:36:53
% 0.30/0.48
% 0.30/0.50 ; Recognized left identity assertion (= (|drop| |z| ?X) ?X).
% 0.30/0.50
% 0.30/0.50 #||
% 0.30/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.50 % SZS output start Refutation
% See solution above
% 0.30/0.50 ||#
% 0.30/0.50
% 0.30/0.50 ; Summary of computation:
% 0.30/0.50 ; 42 formulas have been input or derived (from 12 formulas).
% 0.30/0.50 ; 16 (38%) were retained. Of these,
% 0.30/0.50 ; 2 (12%) were simplified or subsumed later,
% 0.30/0.50 ; 14 (88%) are still being kept.
% 0.30/0.50 ;
% 0.30/0.50 ; Run time in seconds excluding printing time:
% 0.30/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.30/0.50 ; 0.000 0% Assert (9 calls)
% 0.30/0.50 ; 0.002 7% Process new row (35 calls)
% 0.30/0.50 ; 0.000 0% Resolution (22 calls)
% 0.30/0.50 ; 0.000 0% Paramodulation (11 calls)
% 0.30/0.50 ; 0.001 3% Condensing (5 calls)
% 0.30/0.50 ; 0.000 0% Forward subsumption (5 calls)
% 0.30/0.50 ; 0.000 0% Backward subsumption (3 calls)
% 0.30/0.50 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.30/0.50 ; 0.003 10% Forward simplification (35 calls)
% 0.30/0.50 ; 0.000 0% Backward simplification (16 calls)
% 0.30/0.50 ; 0.000 0% Ordering (44 calls)
% 0.30/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.30/0.50 ; 0.000 0% Purity testing (1 call)
% 0.30/0.50 ; 0.021 72% Other
% 0.30/0.50 ; 0.029 Total
% 0.30/0.50 ; 0.030 Real time
% 0.30/0.50 ;
% 0.30/0.50 ; Term-hash-array has 42 terms in all.
% 0.30/0.50 ; Feature-vector-row-index has 2 entries (3 at peak, 3 added, 1 deleted).
% 0.30/0.50 ; Feature-vector-row-index has 10 nodes (15 at peak, 15 added, 5 deleted).
% 0.30/0.50 ; Retrieved 4 possibly forward subsuming rows in 5 calls.
% 0.30/0.50 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.30/0.50 ; Path-index has 39 entries (44 at peak, 44 added, 5 deleted).
% 0.30/0.50 ; Path-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.30/0.50 ; Trie-index has 39 entries (44 at peak, 44 added, 5 deleted).
% 0.30/0.50 ; Trie-index has 113 nodes (120 at peak, 120 added, 7 deleted).
% 0.30/0.50 ; Retrieved 15 generalization terms in 62 calls.
% 0.30/0.50 ; Retrieved 14 instance terms in 12 calls.
% 0.30/0.50 ; Retrieved 163 unifiable terms in 68 calls.
% 0.30/0.50 ;
% 0.30/0.50 ; The agenda of rows to process has 2 entries:
% 0.30/0.50 ; 1 with value 13 1 with value 19
% 0.30/0.50 ; The agenda of rows to give has 3 entries:
% 0.30/0.50 ; 1 with value (4 9) 1 with value (4 18) 1 with value (4 19)
% 0.30/0.50 Evaluation took:
% 0.30/0.50 0.031 seconds of real time
% 0.30/0.50 0.025959 seconds of user run time
% 0.30/0.50 0.005015 seconds of system run time
% 0.30/0.50 0 calls to %EVAL
% 0.30/0.50 0 page faults and
% 0.30/0.50 1,731,440 bytes consed.
% 0.30/0.50 :PROOF-FOUND
% 0.30/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T09:36:53
% 0.30/0.50 :PROOF-FOUND
% 0.30/0.50 *
%------------------------------------------------------------------------------