TSTP Solution File: SWV007-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Wed Jul 20 21:31:29 EDT 2022
% Result : Unsatisfiable 0.40s 0.60s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 8 unt; 1 nHn; 11 RR)
% Number of literals : 22 ( 3 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(less_than_successor,axiom,
less_than(X,successor(X)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',less_than_successor) ).
cnf(transitivity_of_less_than,axiom,
( less_than(X,Y)
| ~ less_than(X,Z)
| ~ less_than(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',transitivity_of_less_than) ).
cnf(all_related,axiom,
( less_than(X,Y)
| less_than(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',all_related) ).
cnf(anti_symmetry_of_less_than,axiom,
( ~ less_than(X,Y)
| ~ less_than(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',anti_symmetry_of_less_than) ).
cnf(equal_and_less_than_transitivity2,axiom,
( less_than(X,Y)
| Z != Y
| ~ less_than(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',equal_and_less_than_transitivity2) ).
cnf(clause_4,negated_conjecture,
~ less_than(n,m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_5,negated_conjecture,
less_than(i,m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_8,negated_conjecture,
less_than(a(m),a(k)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_11,negated_conjecture,
( less_than(X,i)
| ~ less_than(X,successor(n))
| ~ less_than(a(X),a(k)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(24,plain,
~ less_than(m,i),
inference('UR-RESOLVE',[status(thm)],[anti_symmetry_of_less_than,clause_5]) ).
cnf(42,plain,
~ less_than(successor(n),m),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_less_than,clause_4,less_than_successor]) ).
cnf(79,plain,
successor(n) != m,
inference('UR-RESOLVE',[status(thm)],[equal_and_less_than_transitivity2,clause_4,less_than_successor]) ).
cnf(86,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_11,all_related,clause_8]),24,79,42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 09:58:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 *
% 0.21/0.51 *
% 0.21/0.52 #<PACKAGE "SNARK-USER">
% 0.21/0.52 *
% 0.21/0.52 SNARK-TPTP-OPTIONS
% 0.21/0.52 *
% 0.21/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.52 (USE-FACTORING :POS)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.52 *
% 0.21/0.52 "."
% 0.21/0.52 *
% 0.21/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T09:58:30
% 0.21/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-15T09:58:30
% 0.40/0.60
% 0.40/0.60
% 0.40/0.60 #||
% 0.40/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.60 % SZS output start Refutation
% See solution above
% 0.40/0.60 ||#
% 0.40/0.60
% 0.40/0.60 ; Summary of computation:
% 0.40/0.60 ; 341 formulas have been input or derived (from 23 formulas).
% 0.40/0.60 ; 86 (25%) were retained. Of these,
% 0.40/0.60 ; 86 (100%) are still being kept.
% 0.40/0.60 ;
% 0.40/0.60 ; Run time in seconds excluding printing time:
% 0.40/0.60 ; 0.006 8% Read assertion file (1 call)
% 0.40/0.60 ; 0.002 3% Assert (23 calls)
% 0.40/0.60 ; 0.006 8% Process new row (303 calls)
% 0.40/0.60 ; 0.008 11% Resolution (44 calls)
% 0.40/0.60 ; 0.001 1% Paramodulation (22 calls)
% 0.40/0.60 ; 0.000 0% Factoring (1 call)
% 0.40/0.60 ; 0.007 9% Condensing (79 calls)
% 0.40/0.60 ; 0.002 3% Forward subsumption (79 calls)
% 0.40/0.60 ; 0.000 0% Backward subsumption (31 calls)
% 0.40/0.60 ; 0.004 5% Clause clause subsumption (78 calls)
% 0.40/0.60 ; 0.005 7% Forward simplification (303 calls)
% 0.40/0.60 ; 0.000 0% Backward simplification (86 calls)
% 0.40/0.60 ; 0.001 1% Ordering (224 calls)
% 0.40/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.60 ; 0.000 0% Purity testing (1 call)
% 0.40/0.60 ; 0.034 45% Other
% 0.40/0.60 ; 0.076 Total
% 0.40/0.60 ; 0.079 Real time
% 0.40/0.60 ;
% 0.40/0.60 ; Term-hash-array has 142 terms in all.
% 0.40/0.60 ; Feature-vector-row-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.40/0.60 ; Feature-vector-row-index has 127 nodes (127 at peak, 127 added, 0 deleted).
% 0.40/0.60 ; Retrieved 101 possibly forward subsuming rows in 79 calls.
% 0.40/0.60 ; Retrieved 2 possibly backward subsumed rows in 31 calls.
% 0.40/0.60 ; Path-index has 147 entries (147 at peak, 147 added, 0 deleted).
% 0.40/0.60 ; Path-index has 143 nodes (143 at peak, 143 added, 0 deleted).
% 0.40/0.60 ; Trie-index has 147 entries (147 at peak, 147 added, 0 deleted).
% 0.40/0.60 ; Trie-index has 243 nodes (243 at peak, 243 added, 0 deleted).
% 0.40/0.60 ; Retrieved 579 generalization terms in 838 calls.
% 0.40/0.60 ; Retrieved 74 instance terms in 54 calls.
% 0.40/0.60 ; Retrieved 2,336 unifiable terms in 273 calls.
% 0.40/0.60 ;
% 0.40/0.60 ; The agenda of rows to process has 4 entries:
% 0.40/0.60 ; 1 with value 19 3 with value 31
% 0.40/0.60 ; The agenda of input rows to give has 1 entry:
% 0.40/0.60 ; 1 with value 21
% 0.40/0.60 ; The agenda of rows to give has 62 entries:
% 0.40/0.60 ; 8 with value (4 5) 6 with value (4 13) 1 with value (4 22)
% 0.40/0.60 ; 24 with value (4 7) 2 with value (4 15) 1 with value (4 31)
% 0.40/0.60 ; 5 with value (4 8) 2 with value (4 17) 1 with value (4 35)
% 0.40/0.60 ; 6 with value (4 9) 2 with value (4 19) 1 with value (4 37)
% 0.40/0.60 ; 2 with value (4 10) 1 with value (4 21)
% 0.40/0.60 Evaluation took:
% 0.40/0.60 0.08 seconds of real time
% 0.40/0.60 0.066382 seconds of user run time
% 0.40/0.60 0.013306 seconds of system run time
% 0.40/0.60 0 calls to %EVAL
% 0.40/0.60 0 page faults and
% 0.40/0.60 3,668,216 bytes consed.
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T09:58:30
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 *
%------------------------------------------------------------------------------