TSTP Solution File: ALG070+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG070+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Thu Jul 14 17:59:47 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 18 RR)
% Number of literals : 27 ( 13 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ sorti1(X)
| ~ sorti1(Y)
| op1(X,X) != Y
| op1(X,Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
sorti2('SKOLEMAAAU1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(5,axiom,
sorti2('SKOLEMAAAU2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(6,axiom,
op2('SKOLEMAAAU1','SKOLEMAAAU1') = 'SKOLEMAAAU2',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(7,axiom,
op2('SKOLEMAAAU1','SKOLEMAAAU2') != 'SKOLEMAAAU1',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(9,negated_conjecture,
( ~ sorti2(X)
| sorti1(j(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(10,negated_conjecture,
( ~ sorti1(X)
| ~ sorti1(Y)
| h(op1(X,Y)) = op2(h(X),h(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(11,negated_conjecture,
( ~ sorti2(X)
| ~ sorti2(Y)
| j(op2(X,Y)) = op1(j(X),j(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(12,negated_conjecture,
( ~ sorti2(X)
| h(j(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(14,plain,
sorti1(j('SKOLEMAAAU2')),
inference('HYPERRESOLVE',[status(thm)],[9,5]) ).
cnf(15,plain,
sorti1(j('SKOLEMAAAU1')),
inference('HYPERRESOLVE',[status(thm)],[9,4]) ).
cnf(16,plain,
h(j('SKOLEMAAAU2')) = 'SKOLEMAAAU2',
inference('HYPERRESOLVE',[status(thm)],[12,5]) ).
cnf(17,plain,
h(j('SKOLEMAAAU1')) = 'SKOLEMAAAU1',
inference('HYPERRESOLVE',[status(thm)],[12,4]) ).
cnf(24,plain,
j('SKOLEMAAAU2') = op1(j('SKOLEMAAAU1'),j('SKOLEMAAAU1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,4,4]),6,theory(equality)]) ).
cnf(31,plain,
h(op1(j('SKOLEMAAAU1'),j('SKOLEMAAAU2'))) = op2('SKOLEMAAAU1','SKOLEMAAAU2'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,15,14]),16,17,theory(equality)]) ).
cnf(32,plain,
h(op1(j('SKOLEMAAAU1'),j('SKOLEMAAAU2'))) != 'SKOLEMAAAU1',
inference('REWRITE',[status(thm)],[7,31,theory(equality)]) ).
cnf(81,plain,
op1(j('SKOLEMAAAU1'),j('SKOLEMAAAU2')) = j('SKOLEMAAAU1'),
inference('HYPERRESOLVE',[status(thm)],[3,24,15,14]) ).
cnf(83,plain,
$false,
inference('REWRITE',[status(thm)],[32,17,81,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG070+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 7 22:02:49 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T22:02:50
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-07T22:02:50
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 217 formulas have been input or derived (from 23 formulas).
% 0.18/0.50 ; 83 (38%) were retained. Of these,
% 0.18/0.50 ; 31 (37%) were simplified or subsumed later,
% 0.18/0.50 ; 52 (63%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.002 4% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 2% Assert (5 calls)
% 0.18/0.50 ; 0.005 11% Process new row (172 calls)
% 0.18/0.50 ; 0.005 11% Resolution (44 calls)
% 0.18/0.50 ; 0.001 2% Paramodulation (22 calls)
% 0.18/0.50 ; 0.000 0% Condensing (9 calls)
% 0.18/0.50 ; 0.000 0% Forward subsumption (9 calls)
% 0.18/0.50 ; 0.000 0% Backward subsumption (9 calls)
% 0.18/0.50 ; 0.007 15% Forward simplification (172 calls)
% 0.18/0.50 ; 0.001 2% Backward simplification (83 calls)
% 0.18/0.50 ; 0.002 4% Ordering (69 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.023 49% Other
% 0.18/0.50 ; 0.047 Total
% 0.18/0.50 ; 0.049 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 182 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 40 nodes (40 at peak, 40 added, 0 deleted).
% 0.18/0.50 ; Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.18/0.50 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.18/0.50 ; Path-index has 122 entries (173 at peak, 186 added, 64 deleted).
% 0.18/0.50 ; Path-index has 266 nodes (281 at peak, 293 added, 27 deleted).
% 0.18/0.50 ; Trie-index has 122 entries (173 at peak, 186 added, 64 deleted).
% 0.18/0.50 ; Trie-index has 474 nodes (728 at peak, 768 added, 294 deleted).
% 0.18/0.50 ; Retrieved 146 generalization terms in 878 calls.
% 0.18/0.50 ; Retrieved 73 instance terms in 73 calls.
% 0.18/0.50 ; Retrieved 1,244 unifiable terms in 404 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of backward simplifiable rows to process has 20 entries:
% 0.18/0.50 ; 20 with value 0
% 0.18/0.50 ; The agenda of rows to process has 1 entry:
% 0.18/0.50 ; 1 with value 26
% 0.18/0.50 ; The agenda of rows to give has 32 entries:
% 0.18/0.50 ; 1 with value (4 9) 9 with value (4 16) 7 with value (4 26)
% 0.18/0.50 ; 2 with value (4 12) 2 with value (4 18) 4 with value (4 34)
% 0.18/0.50 ; 1 with value (4 13) 6 with value (4 19)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.05 seconds of real time
% 0.18/0.50 0.042851 seconds of user run time
% 0.18/0.50 0.007271 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 3,471,984 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T22:02:50
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------