%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL002-1 : 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 00:41:33 EDT 2022
% Result : Unsatisfiable 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 7 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(i_definition,axiom,
apply(i,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X != apply(fixed_pt,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(7,plain,
apply(X,Y) != apply(apply(apply(b,fixed_pt),X),Y),
inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).
cnf(29,plain,
apply(apply(apply(s,i),X),Y) = apply(Y,apply(X,Y)),
inference('PARAMODULATE',[status(thm)],[s_definition,i_definition,theory(equality)]) ).
cnf(92,plain,
apply(apply(apply(s,i),i),X) = apply(X,X),
inference('PARAMODULATE',[status(thm)],[29,i_definition,theory(equality)]) ).
cnf(128,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[7,92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 13:42:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T13:42:30
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-05-31T13:42:30
% 0.20/0.49
% 0.46/0.64 ; Recognized left identity assertion (= (|apply| |i| ?X) ?X).
% 0.46/0.64
% 0.46/0.64 #||
% 0.46/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64 % SZS output start Refutation
% See solution above
% 0.46/0.64 ||#
% 0.46/0.64
% 0.46/0.64 ; Summary of computation:
% 0.46/0.64 ; 225 formulas have been input or derived (from 12 formulas).
% 0.46/0.64 ; 128 (57%) were retained. Of these,
% 0.46/0.64 ; 128 (100%) are still being kept.
% 0.46/0.64 ;
% 0.46/0.64 ; Run time in seconds excluding printing time:
% 0.46/0.64 ; 0.001 1% Read assertion file (1 call)
% 0.46/0.64 ; 0.001 1% Assert (5 calls)
% 0.46/0.64 ; 0.019 12% Process new row (179 calls)
% 0.46/0.64 ; 0.000 0% Resolution (22 calls)
% 0.46/0.64 ; 0.007 4% Paramodulation (11 calls)
% 0.46/0.64 ; 0.030 19% Forward simplification (179 calls)
% 0.46/0.64 ; 0.021 13% Backward simplification (128 calls)
% 0.46/0.64 ; 0.057 36% Ordering (8,510 calls)
% 0.46/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.64 ; 0.000 0% Purity testing (1 call)
% 0.46/0.64 ; 0.021 13% Other
% 0.46/0.64 ; 0.157 Total
% 0.46/0.64 ; 0.159 Real time
% 0.46/0.64 ;
% 0.46/0.64 ; Term-hash-array has 590 terms in all.
% 0.46/0.64 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.46/0.64 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.46/0.64 ; Path-index has 595 entries (595 at peak, 595 added, 0 deleted).
% 0.46/0.64 ; Path-index has 288 nodes (288 at peak, 288 added, 0 deleted).
% 0.46/0.64 ; Trie-index has 595 entries (595 at peak, 595 added, 0 deleted).
% 0.46/0.64 ; Trie-index has 2,455 nodes (2,455 at peak, 2,455 added, 0 deleted).
% 0.46/0.64 ; Retrieved 7,154 generalization terms in 1,447 calls.
% 0.46/0.64 ; Retrieved 3,897 instance terms in 317 calls.
% 0.46/0.64 ; Retrieved 1,864 unifiable terms in 90 calls.
% 0.46/0.64 ;
% 0.46/0.64 ; The agenda of rows to process has 45 entries:
% 0.46/0.64 ; 1 with value 12 2 with value 22 7 with value 27
% 0.46/0.64 ; 1 with value 15 1 with value 23 3 with value 28
% 0.46/0.64 ; 2 with value 16 2 with value 24 3 with value 29
% 0.46/0.64 ; 1 with value 17 9 with value 25 1 with value 33
% 0.46/0.64 ; 2 with value 21 8 with value 26 2 with value 35
% 0.46/0.64 ; The agenda of rows to give has 116 entries:
% 0.46/0.64 ; 1 with value (4 18) 9 with value (4 24) 8 with value (4 29)
% 0.46/0.64 ; 3 with value (4 20) 19 with value (4 25) 6 with value (4 30)
% 0.46/0.64 ; 4 with value (4 21) 20 with value (4 26) 2 with value (4 31)
% 0.46/0.64 ; 7 with value (4 22) 13 with value (4 27) 2 with value (4 32)
% 0.46/0.64 ; 9 with value (4 23) 12 with value (4 28) 1 with value (4 42)
% 0.46/0.64 Evaluation took:
% 0.46/0.64 0.159 seconds of real time
% 0.46/0.64 0.134387 seconds of user run time
% 0.46/0.64 0.025165 seconds of system run time
% 0.46/0.64 0 calls to %EVAL
% 0.46/0.64 0 page faults and
% 0.46/0.64 7,847,016 bytes consed.
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T13:42:30
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 *
%------------------------------------------------------------------------------