TSTP Solution File: SWV002-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 21:31:28 EDT 2022
% Result : Unsatisfiable 0.41s 0.59s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 2 nHn; 12 RR)
% Number of literals : 20 ( 3 equ; 8 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(x_not_less_than_x,axiom,
~ less_than(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV001-0.ax',x_not_less_than_x) ).
cnf(clause_5,negated_conjecture,
less_than(a(j),a(k)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_6,negated_conjecture,
( less_than(X,i)
| ~ less_than(X,j)
| ~ less_than(a(X),a(k)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_9,negated_conjecture,
~ less_than(q,i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_10,negated_conjecture,
~ less_than(j,q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_11,negated_conjecture,
less_than(a(q),a(j)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(47,plain,
less_than(a(q),a(k)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_of_less_than,clause_11,clause_5]) ).
cnf(54,plain,
( less_than(q,j)
| j = q ),
inference('HYPERRESOLVE',[status(thm)],[clause_10,all_related]) ).
cnf(225,plain,
~ less_than(q,j),
inference('UR-RESOLVE',[status(thm)],[clause_6,47,clause_9]) ).
cnf(226,plain,
j = q,
inference('REWRITE',[status(thm)],[54,225]) ).
cnf(227,plain,
$false,
inference('REWRITE',[status(thm)],[clause_11,x_not_less_than_x,226,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 14:29:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T14:29:05
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-14T14:29:05
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59 #||
% 0.41/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.59 % SZS output start Refutation
% See solution above
% 0.41/0.59 ||#
% 0.41/0.59
% 0.41/0.59 ; Summary of computation:
% 0.41/0.59 ; 1036 formulas have been input or derived (from 62 formulas).
% 0.41/0.59 ; 227 (22%) were retained. Of these,
% 0.41/0.59 ; 47 (21%) were simplified or subsumed later,
% 0.41/0.59 ; 180 (79%) are still being kept.
% 0.41/0.59 ;
% 0.41/0.59 ; Run time in seconds excluding printing time:
% 0.41/0.59 ; 0.004 4% Read assertion file (1 call)
% 0.41/0.59 ; 0.000 0% Assert (23 calls)
% 0.41/0.59 ; 0.017 16% Process new row (821 calls)
% 0.41/0.59 ; 0.027 25% Resolution (122 calls)
% 0.41/0.59 ; 0.001 1% Paramodulation (61 calls)
% 0.41/0.59 ; 0.000 0% Factoring (1 call)
% 0.41/0.59 ; 0.003 3% Condensing (117 calls)
% 0.41/0.59 ; 0.006 6% Forward subsumption (117 calls)
% 0.41/0.59 ; 0.000 0% Backward subsumption (52 calls)
% 0.41/0.59 ; 0.006 6% Clause clause subsumption (143 calls)
% 0.41/0.59 ; 0.014 13% Forward simplification (821 calls)
% 0.41/0.59 ; 0.002 2% Backward simplification (227 calls)
% 0.41/0.59 ; 0.001 1% Ordering (413 calls)
% 0.41/0.59 ; 0.001 1% Sortal reasoning (32 calls)
% 0.41/0.59 ; 0.000 0% Purity testing (1 call)
% 0.41/0.59 ; 0.026 24% Other
% 0.41/0.59 ; 0.108 Total
% 0.41/0.59 ; 0.111 Real time
% 0.41/0.59 ;
% 0.41/0.59 ; Term-hash-array has 303 terms in all.
% 0.41/0.59 ; Feature-vector-row-index has 48 entries (52 at peak, 52 added, 4 deleted).
% 0.41/0.59 ; Feature-vector-row-index has 214 nodes (236 at peak, 236 added, 22 deleted).
% 0.41/0.59 ; Retrieved 201 possibly forward subsuming rows in 117 calls.
% 0.41/0.59 ; Retrieved 3 possibly backward subsumed rows in 52 calls.
% 0.41/0.59 ; Path-index has 254 entries (309 at peak, 310 added, 56 deleted).
% 0.41/0.59 ; Path-index has 195 nodes (223 at peak, 223 added, 28 deleted).
% 0.41/0.59 ; Trie-index has 254 entries (309 at peak, 310 added, 56 deleted).
% 0.41/0.59 ; Trie-index has 429 nodes (518 at peak, 519 added, 90 deleted).
% 0.41/0.59 ; Retrieved 1,689 generalization terms in 2,191 calls.
% 0.41/0.59 ; Retrieved 192 instance terms in 174 calls.
% 0.41/0.59 ; Retrieved 11,218 unifiable terms in 1,161 calls.
% 0.41/0.59 ;
% 0.41/0.59 ; The agenda of backward simplifiable rows to process has 42 entries:
% 0.41/0.59 ; 42 with value 0
% 0.41/0.59 ; The agenda of rows to process has 30 entries:
% 0.41/0.59 ; 8 with value 9 8 with value 13 1 with value 16
% 0.41/0.59 ; 8 with value 11 1 with value 14 4 with value 20
% 0.41/0.59 ; The agenda of rows to give has 131 entries:
% 0.41/0.59 ; 1 with value (4 5) 4 with value (4 16) 1 with value (4 25)
% 0.41/0.59 ; 21 with value (4 8) 3 with value (4 17) 1 with value (4 26)
% 0.41/0.59 ; 32 with value (4 9) 4 with value (4 18) 1 with value (4 27)
% 0.41/0.59 ; 27 with value (4 10) 2 with value (4 19) 1 with value (4 31)
% 0.41/0.59 ; 14 with value (4 11) 2 with value (4 20) 2 with value (4 35)
% 0.41/0.59 ; 6 with value (4 13) 1 with value (4 21) 1 with value (4 37)
% 0.41/0.59 ; 6 with value (4 15) 1 with value (4 22)
% 0.41/0.59 Evaluation took:
% 0.41/0.59 0.111 seconds of real time
% 0.41/0.59 0.094786 seconds of user run time
% 0.41/0.59 0.016009 seconds of system run time
% 0.41/0.59 0 calls to %EVAL
% 0.41/0.59 0 page faults and
% 0.41/0.59 5,605,584 bytes consed.
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T14:29:05
% 0.41/0.59 :PROOF-FOUND
% 0.41/0.59 *
%------------------------------------------------------------------------------