%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 07:07:17 PM UTC 2026
% Result : Unsatisfiable 0.31s 0.50s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 6 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_006,axiom,
f(nil) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
cnf(axiom_008,axiom,
prop1(X) = eq(f(X),bfalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
cnf(axiom_010,axiom,
eq(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
cnf(axiom_011,axiom,
eq(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
cnf(goal,negated_conjecture,
eq(prop1(X),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(14,plain,
prop1(nil) = bfalse,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_008,axiom_006,theory(equality)]),axiom_010,theory(equality)]) ).
cnf(16,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[goal,14,theory(equality)]),axiom_011,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.16/0.33 % Computer : n028.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 13:07:00 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.31/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.46 *
% 0.31/0.46 *
% 0.31/0.47 #<PACKAGE "SNARK-USER">
% 0.31/0.47 *
% 0.31/0.47 SNARK-TPTP-OPTIONS
% 0.31/0.47 *
% 0.31/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.31/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.31/0.47 (USE-FACTORING :POS)
% 0.31/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.31/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.31/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.31/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.31/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.31/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.31/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.31/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.31/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.31/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.31/0.47 *
% 0.31/0.47 "."
% 0.31/0.47 *
% 0.31/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T13:07:00
% 0.31/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2026-05-05T13:07:00
% 0.31/0.50
% 0.31/0.50
% 0.31/0.50 #||
% 0.31/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.50 % SZS output start Refutation
% See solution above
% 0.31/0.50 ||#
% 0.31/0.50
% 0.31/0.50 ; Summary of computation:
% 0.31/0.50 ; 29 formulas have been input or derived (from 15 formulas).
% 0.31/0.50 ; 16 (55%) were retained. Of these,
% 0.31/0.50 ; 16 (100%) are still being kept.
% 0.31/0.50 ;
% 0.31/0.50 ; Run time in seconds excluding printing time:
% 0.31/0.50 ; 0.001 4% Read assertion file (1 call)
% 0.31/0.50 ; 0.001 4% Assert (13 calls)
% 0.31/0.50 ; 0.002 7% Process new row (29 calls)
% 0.31/0.50 ; 0.000 0% Resolution (28 calls)
% 0.31/0.50 ; 0.001 4% Paramodulation (14 calls)
% 0.31/0.50 ; 0.000 0% Forward simplification (29 calls)
% 0.31/0.50 ; 0.000 0% Backward simplification (16 calls)
% 0.31/0.50 ; 0.000 0% Ordering (76 calls)
% 0.31/0.50 ; 0.002 7% Sortal reasoning (32 calls)
% 0.31/0.50 ; 0.000 0% Purity testing (1 call)
% 0.31/0.50 ; 0.020 74% Other
% 0.31/0.50 ; 0.027 Total
% 0.31/0.50 ; 0.029 Real time
% 0.31/0.50 ;
% 0.31/0.50 ; Term-hash-array has 36 terms in all.
% 0.31/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.31/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.31/0.50 ; Path-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.31/0.50 ; Path-index has 119 nodes (119 at peak, 119 added, 0 deleted).
% 0.31/0.50 ; Trie-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.31/0.50 ; Trie-index has 111 nodes (111 at peak, 111 added, 0 deleted).
% 0.31/0.50 ; Retrieved 4 generalization terms in 20 calls.
% 0.31/0.50 ; Retrieved 19 instance terms in 16 calls.
% 0.31/0.50 ; Retrieved 36 unifiable terms in 74 calls.
% 0.31/0.50 ;
% 0.31/0.50 ; The agenda of rows to give has 1 entry:
% 0.31/0.50 ; 1 with value (4 16)
% 0.31/0.50 Evaluation took:
% 0.31/0.50 0.029 seconds of real time
% 0.31/0.50 0.0259 seconds of user run time
% 0.31/0.50 0.003048 seconds of system run time
% 0.31/0.50 0 calls to %EVAL
% 0.31/0.50 0 page faults and
% 0.31/0.50 1,596,472 bytes consed.
% 0.31/0.50 :PROOF-FOUND
% 0.31/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T13:07:00
% 0.31/0.50 :PROOF-FOUND
% 0.31/0.50 *
%------------------------------------------------------------------------------