%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS002-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Sun Jul 17 03:28:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 19 RR)
% Number of literals : 32 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,axiom,
( s2least(X)
| ~ c(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_4,axiom,
( ~ s2least(X)
| ~ equalish(u1r2(X),u1r1(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_5,axiom,
( s(X,u1r1(X))
| ~ s2least(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_6,axiom,
( s(X,u1r2(X))
| ~ s2least(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_8,axiom,
( s1most(X)
| ~ d(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_10,axiom,
( equalish(X,Y)
| ~ s1most(Z)
| ~ s(Z,X)
| ~ s(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_14,axiom,
( r(X,u4r2(X))
| ~ e(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_15,axiom,
( d(X)
| ~ e(Y)
| ~ r(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_16,axiom,
( c(X)
| ~ e(Y)
| ~ r(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
cnf(19,plain,
r(exist,u4r2(exist)),
inference('HYPERRESOLVE',[status(thm)],[clause_14,clause_1]) ).
cnf(24,plain,
c(u4r2(exist)),
inference('HYPERRESOLVE',[status(thm)],[clause_16,19,clause_1]) ).
cnf(25,plain,
d(u4r2(exist)),
inference('HYPERRESOLVE',[status(thm)],[clause_15,19,clause_1]) ).
cnf(26,plain,
s2least(u4r2(exist)),
inference('HYPERRESOLVE',[status(thm)],[clause_2,24]) ).
cnf(27,plain,
s1most(u4r2(exist)),
inference('HYPERRESOLVE',[status(thm)],[clause_8,25]) ).
cnf(28,plain,
s(u4r2(exist),u1r2(u4r2(exist))),
inference('HYPERRESOLVE',[status(thm)],[clause_6,26]) ).
cnf(29,plain,
s(u4r2(exist),u1r1(u4r2(exist))),
inference('HYPERRESOLVE',[status(thm)],[clause_5,26]) ).
cnf(30,plain,
~ equalish(u1r2(u4r2(exist)),u1r1(u4r2(exist))),
inference('UR-RESOLVE',[status(thm)],[clause_4,26]) ).
cnf(34,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_10,29,27,28]),30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS002-1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 07:47:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T07:47:06
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-07T07:47:06
% 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 ; 80 formulas have been input or derived (from 26 formulas).
% 0.19/0.49 ; 34 (42%) were retained. Of these,
% 0.19/0.49 ; 34 (100%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.49 ; 0.000 0% Assert (18 calls)
% 0.19/0.49 ; 0.002 6% Process new row (54 calls)
% 0.19/0.49 ; 0.001 3% Resolution (50 calls)
% 0.19/0.49 ; 0.000 0% Paramodulation (25 calls)
% 0.19/0.49 ; 0.000 0% Factoring (2 calls)
% 0.19/0.49 ; 0.000 0% Condensing (21 calls)
% 0.19/0.49 ; 0.002 6% Forward subsumption (21 calls)
% 0.19/0.49 ; 0.000 0% Backward subsumption (21 calls)
% 0.19/0.49 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.49 ; 0.000 0% Forward simplification (54 calls)
% 0.19/0.49 ; 0.001 3% Backward simplification (34 calls)
% 0.19/0.49 ; 0.000 0% Ordering (24 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.023 72% Other
% 0.19/0.49 ; 0.032 Total
% 0.19/0.49 ; 0.034 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 49 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 51 nodes (51 at peak, 51 added, 0 deleted).
% 0.19/0.49 ; Retrieved 1 possibly forward subsuming row in 21 calls.
% 0.19/0.49 ; Retrieved 1 possibly backward subsumed row in 21 calls.
% 0.19/0.49 ; Path-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.19/0.49 ; Path-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.19/0.49 ; Trie-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.19/0.49 ; Trie-index has 107 nodes (107 at peak, 107 added, 0 deleted).
% 0.19/0.49 ; Retrieved 26 generalization terms in 48 calls.
% 0.19/0.49 ; Retrieved 12 instance terms in 12 calls.
% 0.19/0.49 ; Retrieved 330 unifiable terms in 161 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of rows to process has 17 entries:
% 0.19/0.49 ; 5 with value 15 8 with value 20 4 with value 25
% 0.19/0.49 ; The agenda of rows to give has 8 entries:
% 0.19/0.49 ; 5 with value (4 14) 3 with value (4 15)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.035 seconds of real time
% 0.19/0.49 0.026825 seconds of user run time
% 0.19/0.49 0.008262 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 2,578,872 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T07:47:06
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------