TSTP Solution File: ALG203+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG203+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 18:00:10 EDT 2022
% Result : Theorem 0.48s 0.63s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 26 ( 12 equ; 10 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('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
op1('SKOLEMAAAW1','SKOLEMAAAW1') = 'SKOLEMAAAW1',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(5,axiom,
sorti1('SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(6,axiom,
op1('SKOLEMAAAW2','SKOLEMAAAW2') != 'SKOLEMAAAW2',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(7,axiom,
( ~ sorti2(X)
| op2(X,X) != X
| ~ sorti2(Y)
| op2(Y,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(8,negated_conjecture,
( ~ sorti1(X)
| sorti2(h(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(13,negated_conjecture,
( ~ sorti1(X)
| j(h(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(14,plain,
sorti2(h('SKOLEMAAAW2')),
inference('HYPERRESOLVE',[status(thm)],[8,5]) ).
cnf(15,plain,
sorti2(h('SKOLEMAAAW1')),
inference('HYPERRESOLVE',[status(thm)],[8,3]) ).
cnf(16,plain,
j(h('SKOLEMAAAW2')) = 'SKOLEMAAAW2',
inference('HYPERRESOLVE',[status(thm)],[13,5]) ).
cnf(21,plain,
h(op1('SKOLEMAAAW2','SKOLEMAAAW2')) = op2(h('SKOLEMAAAW2'),h('SKOLEMAAAW2')),
inference('HYPERRESOLVE',[status(thm)],[10,5,5]) ).
cnf(24,plain,
h('SKOLEMAAAW1') = op2(h('SKOLEMAAAW1'),h('SKOLEMAAAW1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,3,3]),4,theory(equality)]) ).
cnf(26,plain,
j(h(op1('SKOLEMAAAW2','SKOLEMAAAW2'))) = op1('SKOLEMAAAW2','SKOLEMAAAW2'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,14,14]),16,21,theory(equality)]) ).
cnf(643,plain,
h(op1('SKOLEMAAAW2','SKOLEMAAAW2')) = h('SKOLEMAAAW2'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,24,15,14]),21,theory(equality)]) ).
cnf(645,plain,
$false,
inference('REWRITE',[status(thm)],[26,6,16,643,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG203+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n017.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 : Thu Jun 9 01:44:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 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 2022-06-09T01:44:04
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-09T01:44:04
% 0.48/0.63
% 0.48/0.63
% 0.48/0.63 #||
% 0.48/0.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.63 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 1488 formulas have been input or derived (from 37 formulas).
% 0.48/0.64 ; 645 (43%) were retained. Of these,
% 0.48/0.64 ; 36 ( 6%) were simplified or subsumed later,
% 0.48/0.64 ; 609 (94%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds excluding printing time:
% 0.48/0.64 ; 0.003 2% Read assertion file (1 call)
% 0.48/0.64 ; 0.000 0% Assert (5 calls)
% 0.48/0.64 ; 0.064 40% Process new row (1,381 calls)
% 0.48/0.64 ; 0.020 13% Resolution (72 calls)
% 0.48/0.64 ; 0.002 1% Paramodulation (36 calls)
% 0.48/0.64 ; 0.000 0% Condensing (9 calls)
% 0.48/0.64 ; 0.000 0% Forward subsumption (9 calls)
% 0.48/0.64 ; 0.000 0% Backward subsumption (9 calls)
% 0.48/0.64 ; 0.031 19% Forward simplification (1,381 calls)
% 0.48/0.64 ; 0.008 5% Backward simplification (645 calls)
% 0.48/0.64 ; 0.001 1% Ordering (350 calls)
% 0.48/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.64 ; 0.000 0% Purity testing (1 call)
% 0.48/0.64 ; 0.030 19% Other
% 0.48/0.64 ; 0.159 Total
% 0.48/0.64 ; 0.160 Real time
% 0.48/0.64 ;
% 0.48/0.64 ; Term-hash-array has 1,557 terms in all.
% 0.48/0.64 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.48/0.64 ; Feature-vector-row-index has 40 nodes (40 at peak, 40 added, 0 deleted).
% 0.48/0.64 ; Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.48/0.64 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.48/0.64 ; Path-index has 1,465 entries (1,558 at peak, 1,560 added, 95 deleted).
% 0.48/0.64 ; Path-index has 462 nodes (462 at peak, 462 added, 0 deleted).
% 0.48/0.64 ; Trie-index has 1,465 entries (1,558 at peak, 1,560 added, 95 deleted).
% 0.48/0.64 ; Trie-index has 6,070 nodes (6,547 at peak, 6,554 added, 484 deleted).
% 0.48/0.64 ; Retrieved 950 generalization terms in 6,417 calls.
% 0.48/0.64 ; Retrieved 635 instance terms in 635 calls.
% 0.48/0.64 ; Retrieved 14,749 unifiable terms in 1,272 calls.
% 0.48/0.64 ;
% 0.48/0.64 ; The agenda of backward simplifiable rows to process has 33 entries:
% 0.48/0.64 ; 33 with value 0
% 0.48/0.64 ; The agenda of rows to process has 10 entries:
% 0.48/0.64 ; 3 with value 13 6 with value 21 1 with value 24
% 0.48/0.64 ; The agenda of rows to give has 573 entries:
% 0.48/0.64 ; 2 with value (4 12) 72 with value (4 17) 9 with value (4 25)
% 0.48/0.64 ; 9 with value (4 13) 144 with value (4 19) 48 with value (4 26)
% 0.48/0.64 ; 14 with value (4 14) 8 with value (4 20) 48 with value (4 30)
% 0.48/0.64 ; 50 with value (4 15) 12 with value (4 21) 144 with value (4 34)
% 0.48/0.64 ; 9 with value (4 16) 4 with value (4 24)
% 0.48/0.64 Evaluation took:
% 0.48/0.64 0.16 seconds of real time
% 0.48/0.64 0.139538 seconds of user run time
% 0.48/0.64 0.02092 seconds of system run time
% 0.48/0.64 0 calls to %EVAL
% 0.48/0.64 0 page faults and
% 0.48/0.64 10,324,464 bytes consed.
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T01:44:04
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 *
%------------------------------------------------------------------------------