%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 07:07:13 PM UTC 2026
% Result : Theorem 0.30s 0.49s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 2 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
x2(z,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
cnf(5,negated_conjecture,
x2(X,X) != X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_005) ).
cnf(6,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[5,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 11:33:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.45 *
% 0.30/0.45 *
% 0.30/0.46 #<PACKAGE "SNARK-USER">
% 0.30/0.46 *
% 0.30/0.46 SNARK-TPTP-OPTIONS
% 0.30/0.46 *
% 0.30/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.30/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.30/0.46 (USE-FACTORING :POS)
% 0.30/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.30/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.30/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.30/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.30/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.30/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.30/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.30/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.30/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.30/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.30/0.46 *
% 0.30/0.46 "."
% 0.30/0.46 *
% 0.30/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T11:33:02
% 0.30/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2026-05-05T11:33:02
% 0.30/0.47
% 0.30/0.49 ; Recognized left identity assertion (= (|x2| |z| ?X) ?X).
% 0.30/0.49
% 0.30/0.49 #||
% 0.30/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.49 % SZS output start Refutation
% See solution above
% 0.30/0.49 ||#
% 0.30/0.49
% 0.30/0.49 ; Summary of computation:
% 0.30/0.49 ; 9 formulas have been input or derived (from 4 formulas).
% 0.30/0.49 ; 6 (67%) were retained. Of these,
% 0.30/0.49 ; 6 (100%) are still being kept.
% 0.30/0.49 ;
% 0.30/0.49 ; Run time in seconds:
% 0.30/0.49 ; 0.001 4% Read assertion file (1 call)
% 0.30/0.49 ; 0.000 0% Assert (5 calls)
% 0.30/0.49 ; 0.000 0% Process new row (7 calls)
% 0.30/0.49 ; 0.000 0% Resolution (6 calls)
% 0.30/0.49 ; 0.001 4% Paramodulation (3 calls)
% 0.30/0.49 ; 0.000 0% Forward simplification (7 calls)
% 0.30/0.49 ; 0.001 4% Backward simplification (6 calls)
% 0.30/0.49 ; 0.000 0% Ordering (8 calls)
% 0.30/0.49 ; 0.002 8% Sortal reasoning (32 calls)
% 0.30/0.49 ; 0.000 0% Purity testing (1 call)
% 0.30/0.49 ; 0.019 79% Other
% 0.30/0.49 ; 0.024 Total
% 0.30/0.49 ; 0.025 Real time
% 0.30/0.49 ;
% 0.30/0.49 ; Term-hash-array has 12 terms in all.
% 0.30/0.49 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.30/0.49 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.30/0.49 ; Path-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.30/0.49 ; Path-index has 41 nodes (41 at peak, 41 added, 0 deleted).
% 0.30/0.49 ; Trie-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.30/0.49 ; Trie-index has 40 nodes (40 at peak, 40 added, 0 deleted).
% 0.30/0.49 ; Retrieved 0 generalization terms in 6 calls.
% 0.30/0.49 ; Retrieved 7 instance terms in 5 calls.
% 0.30/0.49 ; Retrieved 22 unifiable terms in 14 calls.
% 0.30/0.49 ;
% 0.30/0.49 ; The agenda of rows to process has 1 entry:
% 0.30/0.49 ; 1 with value 5
% 0.30/0.49 ; The agenda of input rows to give has 2 entries:
% 0.30/0.49 ; 1 with value 8 1 with value 12
% 0.30/0.49 Evaluation took:
% 0.30/0.49 0.026 seconds of real time
% 0.30/0.49 0.022813 seconds of user run time
% 0.30/0.49 0.002982 seconds of system run time
% 0.30/0.49 0 calls to %EVAL
% 0.30/0.49 0 page faults and
% 0.30/0.49 1,236,024 bytes consed.
% 0.30/0.49 :PROOF-FOUND
% 0.30/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T11:33:02
% 0.30/0.49 :PROOF-FOUND
% 0.30/0.49 *
%------------------------------------------------------------------------------