%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL004-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 00:41:35 EDT 2022
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 4 ( 3 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
cnf(k_definition,axiom,
apply(apply(k,X),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
cnf(prove_u_combinator,negated_conjecture,
apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) != apply(y,apply(apply(x,x),y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_combinator) ).
cnf(4,plain,
$false,
inference('REWRITE',[status(thm)],[prove_u_combinator,k_definition,s_definition,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL004-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 12:54:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46 *
% 0.21/0.46 *
% 0.21/0.46 #<PACKAGE "SNARK-USER">
% 0.21/0.46 *
% 0.21/0.46 SNARK-TPTP-OPTIONS
% 0.21/0.46 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T12:54:56
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-31T12:54:56
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 #||
% 0.21/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 % SZS output start Refutation
% See solution above
% 0.21/0.49 ||#
% 0.21/0.49
% 0.21/0.49 ; Summary of computation:
% 0.21/0.49 ; 4 formulas have been input or derived (from 1 formulas).
% 0.21/0.49 ; 4 (100%) were retained. Of these,
% 0.21/0.49 ; 1 (25%) were simplified or subsumed later,
% 0.21/0.49 ; 3 (75%) are still being kept.
% 0.21/0.49 ;
% 0.21/0.49 ; Run time in seconds excluding printing time:
% 0.21/0.49 ; 0.001 4% Read assertion file (1 call)
% 0.21/0.49 ; 0.001 4% Assert (3 calls)
% 0.21/0.49 ; 0.000 0% Process new row (3 calls)
% 0.21/0.49 ; 0.001 4% Forward simplification (3 calls)
% 0.21/0.49 ; 0.000 0% Backward simplification (3 calls)
% 0.21/0.49 ; 0.000 0% Ordering (10 calls)
% 0.21/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.49 ; 0.000 0% Purity testing (1 call)
% 0.21/0.49 ; 0.020 87% Other
% 0.21/0.49 ; 0.023 Total
% 0.21/0.49 ; 0.026 Real time
% 0.21/0.49 ;
% 0.21/0.49 ; Term-hash-array has 10 terms in all.
% 0.21/0.49 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.49 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.49 ; Path-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.21/0.49 ; Path-index has 51 nodes (51 at peak, 51 added, 0 deleted).
% 0.21/0.49 ; Trie-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.21/0.49 ; Trie-index has 48 nodes (48 at peak, 48 added, 0 deleted).
% 0.21/0.49 ; Retrieved 11 generalization terms in 32 calls.
% 0.21/0.49 ; Retrieved 4 instance terms in 4 calls.
% 0.21/0.49 ;
% 0.21/0.49 ; The agenda of input rows to give has 2 entries:
% 0.21/0.49 ; 1 with value 10 1 with value 19
% 0.21/0.49 Evaluation took:
% 0.21/0.49 0.026 seconds of real time
% 0.21/0.49 0.020777 seconds of user run time
% 0.21/0.49 0.005047 seconds of system run time
% 0.21/0.49 0 calls to %EVAL
% 0.21/0.49 0 page faults and
% 0.21/0.49 1,469,184 bytes consed.
% 0.21/0.49 :PROOF-FOUND
% 0.21/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T12:54:56
% 0.21/0.49 :PROOF-FOUND
% 0.21/0.49 *
%------------------------------------------------------------------------------