%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 00:41:38 EDT 2022
% Result : Unsatisfiable 0.47s 0.73s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 6 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(l_definition,axiom,
apply(apply(l,X),Y) = apply(X,apply(Y,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_definition) ).
cnf(o_definition,axiom,
apply(apply(o,X),Y) = apply(Y,apply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o_definition) ).
cnf(prove_fixed_point,negated_conjecture,
apply(X,f(X)) != apply(f(X),apply(X,f(X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(4,plain,
apply(X,f(X)) != apply(apply(o,X),f(X)),
inference('REWRITE',[status(thm)],[prove_fixed_point,o_definition,theory(equality)]) ).
cnf(10,plain,
apply(apply(apply(l,o),X),Y) = apply(Y,apply(apply(X,X),Y)),
inference('PARAMODULATE',[status(thm)],[o_definition,l_definition,theory(equality)]) ).
cnf(68,plain,
apply(apply(o,apply(X,X)),Y) = apply(apply(apply(l,o),X),Y),
inference('PARAMODULATE',[status(thm)],[o_definition,10,theory(equality)]) ).
cnf(272,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[4,68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue May 31 11:25:00 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T11:25:00
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-05-31T11:25:00
% 0.47/0.73
% 0.47/0.73
% 0.47/0.73 #||
% 0.47/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.73 % SZS output start Refutation
% See solution above
% 0.47/0.73 ||#
% 0.47/0.73
% 0.47/0.73 ; Summary of computation:
% 0.47/0.73 ; 916 formulas have been input or derived (from 18 formulas).
% 0.47/0.73 ; 272 (30%) were retained. Of these,
% 0.47/0.73 ; 16 ( 6%) were simplified or subsumed later,
% 0.47/0.73 ; 256 (94%) are still being kept.
% 0.47/0.73 ;
% 0.47/0.73 ; Run time in seconds excluding printing time:
% 0.47/0.73 ; 0.001 0% Read assertion file (1 call)
% 0.47/0.73 ; 0.000 0% Assert (3 calls)
% 0.47/0.73 ; 0.047 17% Process new row (811 calls)
% 0.47/0.73 ; 0.002 1% Resolution (34 calls)
% 0.47/0.73 ; 0.022 8% Paramodulation (17 calls)
% 0.47/0.73 ; 0.104 38% Forward simplification (811 calls)
% 0.47/0.73 ; 0.008 3% Backward simplification (271 calls)
% 0.47/0.73 ; 0.060 22% Ordering (12,061 calls)
% 0.47/0.73 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.73 ; 0.000 0% Purity testing (1 call)
% 0.47/0.73 ; 0.030 11% Other
% 0.47/0.73 ; 0.274 Total
% 0.47/0.73 ; 0.275 Real time
% 0.47/0.73 ;
% 0.47/0.73 ; Term-hash-array has 976 terms in all.
% 0.47/0.73 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.47/0.73 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.47/0.73 ; Path-index has 940 entries (940 at peak, 993 added, 53 deleted).
% 0.47/0.73 ; Path-index has 606 nodes (606 at peak, 615 added, 9 deleted).
% 0.47/0.73 ; Trie-index has 940 entries (940 at peak, 993 added, 53 deleted).
% 0.47/0.73 ; Trie-index has 5,540 nodes (5,540 at peak, 5,987 added, 447 deleted).
% 0.47/0.73 ; Retrieved 41,103 generalization terms in 10,501 calls.
% 0.47/0.73 ; Retrieved 1,319 instance terms in 610 calls.
% 0.47/0.73 ; Retrieved 4,543 unifiable terms in 161 calls.
% 0.47/0.73 ;
% 0.47/0.73 ; The agenda of rows to process has 103 entries:
% 0.47/0.73 ; 13 with value 22 12 with value 32 3 with value 41
% 0.47/0.73 ; 2 with value 26 2 with value 34 7 with value 44
% 0.47/0.73 ; 8 with value 27 10 with value 35 4 with value 45
% 0.47/0.73 ; 1 with value 29 10 with value 36 4 with value 46
% 0.47/0.73 ; 3 with value 30 18 with value 40 1 with value 47
% 0.47/0.73 ; 5 with value 31
% 0.47/0.73 ; The agenda of rows to give has 238 entries:
% 0.47/0.73 ; 1 with value (4 21) 7 with value (4 28) 11 with value (4 34)
% 0.47/0.73 ; 5 with value (4 22) 3 with value (4 29) 21 with value (4 35)
% 0.47/0.73 ; 3 with value (4 24) 16 with value (4 30) 4 with value (4 36)
% 0.47/0.73 ; 2 with value (4 25) 40 with value (4 31) 2 with value (4 39)
% 0.47/0.73 ; 21 with value (4 26) 51 with value (4 32) 16 with value (4 40)
% 0.47/0.73 ; 34 with value (4 27) 1 with value (4 33)
% 0.47/0.73 Evaluation took:
% 0.47/0.73 0.276 seconds of real time
% 0.47/0.73 0.244529 seconds of user run time
% 0.47/0.73 0.030998 seconds of system run time
% 0.47/0.73 [Run times include 0.01 seconds GC run time.]
% 0.47/0.73 0 calls to %EVAL
% 0.47/0.73 0 page faults and
% 0.47/0.73 14,161,368 bytes consed.
% 0.47/0.73 :PROOF-FOUND
% 0.47/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T11:25:00
% 0.47/0.73 :PROOF-FOUND
% 0.47/0.73 *
%------------------------------------------------------------------------------