%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT011-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 : 600s
% DateTime : Fri Jul 15 00:07:08 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 4 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(codomain_of_domain_is_domain,axiom,
codomain(domain(X)) = domain(X),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT002-0.ax',codomain_of_domain_is_domain) ).
cnf(domain_of_codomain_is_codomain,axiom,
domain(codomain(X)) = codomain(X),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT002-0.ax',domain_of_codomain_is_codomain) ).
cnf(prove_domain_is_idempotent,negated_conjecture,
domain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
cnf(10,plain,
domain(domain(X)) = domain(X),
inference('PARAMODULATE',[status(thm)],[domain_of_codomain_is_codomain,codomain_of_domain_is_domain,theory(equality)]) ).
cnf(11,plain,
$false,
inference('REWRITE',[status(thm)],[prove_domain_is_idempotent,10,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT011-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Mon May 30 00:27:09 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T00:27:09
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-30T00:27:09
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 13 formulas have been input or derived (from 3 formulas).
% 0.19/0.49 ; 11 (85%) were retained. Of these,
% 0.19/0.49 ; 1 ( 9%) were simplified or subsumed later,
% 0.19/0.49 ; 10 (91%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.002 8% Read assertion file (1 call)
% 0.19/0.49 ; 0.000 0% Assert (8 calls)
% 0.19/0.49 ; 0.001 4% Process new row (13 calls)
% 0.19/0.49 ; 0.001 4% Resolution (4 calls)
% 0.19/0.49 ; 0.000 0% Paramodulation (2 calls)
% 0.19/0.49 ; 0.001 4% Condensing (3 calls)
% 0.19/0.49 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.49 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.49 ; 0.000 0% Forward simplification (13 calls)
% 0.19/0.49 ; 0.000 0% Backward simplification (11 calls)
% 0.19/0.49 ; 0.000 0% Ordering (16 calls)
% 0.19/0.49 ; 0.001 4% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.020 77% Other
% 0.19/0.49 ; 0.026 Total
% 0.19/0.49 ; 0.028 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 31 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 23 nodes (23 at peak, 23 added, 0 deleted).
% 0.19/0.49 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.49 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.49 ; Path-index has 29 entries (32 at peak, 33 added, 4 deleted).
% 0.19/0.49 ; Path-index has 86 nodes (90 at peak, 91 added, 5 deleted).
% 0.19/0.49 ; Trie-index has 29 entries (32 at peak, 33 added, 4 deleted).
% 0.19/0.49 ; Trie-index has 84 nodes (89 at peak, 90 added, 6 deleted).
% 0.19/0.49 ; Retrieved 0 generalization terms in 33 calls.
% 0.19/0.49 ; Retrieved 8 instance terms in 7 calls.
% 0.19/0.49 ; Retrieved 20 unifiable terms in 10 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of input rows to give has 5 entries:
% 0.19/0.49 ; 2 with value 9 2 with value 17 1 with value 28
% 0.19/0.49 ; The agenda of rows to give has 2 entries:
% 0.19/0.49 ; 2 with value (4 10)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.028 seconds of real time
% 0.19/0.49 0.021122 seconds of user run time
% 0.19/0.49 0.007043 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 1,498,776 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T00:27:09
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------