%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG179+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 18:00:05 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 25 ( 9 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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(1,axiom,
( ~ sorti1(X)
| ~ sorti1(Y)
| sorti1(op1(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(3,axiom,
( ~ sorti1(X)
| ~ sorti1(Y)
| op1(op1(X,Y),Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
sorti2('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(5,axiom,
sorti2('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(6,axiom,
op2(op2('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2') != 'SKOLEMAAAV1',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(8,negated_conjecture,
( ~ sorti2(X)
| sorti1(j(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(9,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)
| h(j(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(13,plain,
sorti1(j('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[8,5]) ).
cnf(14,plain,
sorti1(j('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[8,4]) ).
cnf(15,plain,
h(j('SKOLEMAAAV2')) = 'SKOLEMAAAV2',
inference('HYPERRESOLVE',[status(thm)],[11,5]) ).
cnf(16,plain,
h(j('SKOLEMAAAV1')) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[11,4]) ).
cnf(30,plain,
sorti1(op1(j('SKOLEMAAAV1'),j('SKOLEMAAAV2'))),
inference('HYPERRESOLVE',[status(thm)],[1,14,13]) ).
cnf(33,plain,
op1(op1(j('SKOLEMAAAV1'),j('SKOLEMAAAV2')),j('SKOLEMAAAV2')) = j('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[3,14,13]) ).
cnf(36,plain,
h(op1(j('SKOLEMAAAV1'),j('SKOLEMAAAV2'))) = op2('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,14,13]),15,16,theory(equality)]) ).
cnf(37,plain,
op2(h(op1(j('SKOLEMAAAV1'),j('SKOLEMAAAV2'))),'SKOLEMAAAV2') != 'SKOLEMAAAV1',
inference('REWRITE',[status(thm)],[6,36,theory(equality)]) ).
cnf(68,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,30,13]),37,15,16,33,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG179+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 23:46:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.44 #<PACKAGE "SNARK-USER">
% 0.19/0.44 *
% 0.19/0.44 SNARK-TPTP-OPTIONS
% 0.19/0.44 *
% 0.19/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.44 (USE-FACTORING :POS)
% 0.19/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.44 *
% 0.19/0.44 "."
% 0.19/0.44 *
% 0.19/0.44 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T23:46:49
% 0.19/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-07T23:46:49
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 #||
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 ||#
% 0.19/0.48
% 0.19/0.48 ; Summary of computation:
% 0.19/0.48 ; 183 formulas have been input or derived (from 20 formulas).
% 0.19/0.48 ; 68 (37%) were retained. Of these,
% 0.19/0.48 ; 9 (13%) were simplified or subsumed later,
% 0.19/0.48 ; 59 (87%) are still being kept.
% 0.19/0.48 ;
% 0.19/0.48 ; Run time in seconds excluding printing time:
% 0.19/0.48 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.48 ; 0.001 3% Assert (5 calls)
% 0.19/0.48 ; 0.007 18% Process new row (134 calls)
% 0.19/0.48 ; 0.004 10% Resolution (38 calls)
% 0.19/0.48 ; 0.000 0% Paramodulation (19 calls)
% 0.19/0.48 ; 0.001 3% Condensing (9 calls)
% 0.19/0.48 ; 0.000 0% Forward subsumption (9 calls)
% 0.19/0.48 ; 0.000 0% Backward subsumption (9 calls)
% 0.19/0.48 ; 0.001 3% Forward simplification (134 calls)
% 0.19/0.48 ; 0.001 3% Backward simplification (68 calls)
% 0.19/0.48 ; 0.001 3% Ordering (51 calls)
% 0.19/0.48 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.48 ; 0.000 0% Purity testing (1 call)
% 0.19/0.48 ; 0.020 51% Other
% 0.19/0.48 ; 0.039 Total
% 0.19/0.48 ; 0.041 Real time
% 0.19/0.48 ;
% 0.19/0.48 ; Term-hash-array has 140 terms in all.
% 0.19/0.48 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.19/0.48 ; Feature-vector-row-index has 40 nodes (40 at peak, 40 added, 0 deleted).
% 0.19/0.48 ; Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.19/0.48 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.19/0.48 ; Path-index has 128 entries (128 at peak, 142 added, 14 deleted).
% 0.19/0.48 ; Path-index has 315 nodes (315 at peak, 331 added, 16 deleted).
% 0.19/0.48 ; Trie-index has 128 entries (128 at peak, 142 added, 14 deleted).
% 0.19/0.48 ; Trie-index has 590 nodes (590 at peak, 638 added, 48 deleted).
% 0.19/0.48 ; Retrieved 99 generalization terms in 544 calls.
% 0.19/0.48 ; Retrieved 58 instance terms in 58 calls.
% 0.19/0.48 ; Retrieved 650 unifiable terms in 261 calls.
% 0.19/0.48 ;
% 0.19/0.48 ; The agenda of rows to process has 23 entries:
% 0.19/0.48 ; 7 with value 28 8 with value 31 8 with value 34
% 0.19/0.48 ; The agenda of rows to give has 40 entries:
% 0.19/0.48 ; 2 with value (4 11) 1 with value (4 18) 3 with value (4 26)
% 0.19/0.48 ; 4 with value (4 12) 8 with value (4 19) 1 with value (4 31)
% 0.19/0.48 ; 10 with value (4 16) 6 with value (4 25) 1 with value (4 34)
% 0.19/0.48 ; 4 with value (4 17)
% 0.19/0.48 Evaluation took:
% 0.19/0.48 0.041 seconds of real time
% 0.19/0.48 0.038777 seconds of user run time
% 0.19/0.48 0.002819 seconds of system run time
% 0.19/0.48 0 calls to %EVAL
% 0.19/0.48 0 page faults and
% 0.19/0.48 3,046,040 bytes consed.
% 0.19/0.48 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T23:46:49
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------