%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 : Tue Jul 19 14:20:40 EDT 2022
% Result : Theorem 0.17s 0.53s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 10 unt; 2 nHn; 14 RR)
% Number of literals : 29 ( 3 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ relation(X)
| relation(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
cnf(9,axiom,
( ~ relation(X)
| ~ antisymmetric(X)
| ~ in(ordered_pair(Y,Z),X)
| ~ in(ordered_pair(Z,Y),X)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(10,axiom,
( ~ relation(X)
| antisymmetric(X)
| in(ordered_pair('SKOLEMAAAV2'(X),'SKOLEMAAAV3'(X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(11,axiom,
( ~ relation(X)
| antisymmetric(X)
| in(ordered_pair('SKOLEMAAAV3'(X),'SKOLEMAAAV2'(X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(12,axiom,
( ~ relation(X)
| antisymmetric(X)
| 'SKOLEMAAAV2'(X) != 'SKOLEMAAAV3'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(19,axiom,
( ~ relation(X)
| ~ in(Y,relation_restriction(X,Z))
| in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(23,negated_conjecture,
relation('SKOLEMAAAV10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_wellord1) ).
cnf(24,negated_conjecture,
antisymmetric('SKOLEMAAAV10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_wellord1) ).
cnf(25,negated_conjecture,
~ antisymmetric(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_wellord1) ).
cnf(35,plain,
relation(relation_restriction('SKOLEMAAAV10',X)),
inference('HYPERRESOLVE',[status(thm)],[4,23]) ).
cnf(54,plain,
'SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')) != 'SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[12,35,25]) ).
cnf(56,plain,
in(ordered_pair('SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')),'SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9'))),relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[11,35,25]) ).
cnf(57,plain,
in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')),'SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9'))),relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[10,35,25]) ).
cnf(127,plain,
in(ordered_pair('SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')),'SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9'))),'SKOLEMAAAV10'),
inference('HYPERRESOLVE',[status(thm)],[19,56,23]) ).
cnf(147,plain,
~ in(ordered_pair('SKOLEMAAAV2'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9')),'SKOLEMAAAV3'(relation_restriction('SKOLEMAAAV10','SKOLEMAAAV9'))),'SKOLEMAAAV10'),
inference('UR-RESOLVE',[status(thm)],[9,127,23,24,54]) ).
cnf(149,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[19,57,23]),147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.12 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 06:12:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 *
% 0.17/0.45 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T06:12:23
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-19T06:12:23
% 0.17/0.47
% 0.17/0.47 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.17/0.47 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.17/0.47 ; Declaring unordered_pair to be commutative.
% 0.17/0.47 WARNING:
% 0.17/0.47 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.53 ; Declaring set_intersection2 to be commutative.
% 0.17/0.53
% 0.17/0.53 #||
% 0.17/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.53 % SZS output start Refutation
% See solution above
% 0.17/0.53 ||#
% 0.17/0.53
% 0.17/0.53 ; Summary of computation:
% 0.17/0.53 ; 289 formulas have been input or derived (from 90 formulas).
% 0.17/0.53 ; 149 (52%) were retained. Of these,
% 0.17/0.53 ; 4 ( 3%) were simplified or subsumed later,
% 0.17/0.53 ; 145 (97%) are still being kept.
% 0.17/0.53 ;
% 0.17/0.53 ; Run time in seconds excluding printing time:
% 0.17/0.53 ; 0.005 7% Read assertion file (1 call)
% 0.17/0.53 ; 0.002 3% Assert (33 calls)
% 0.17/0.53 ; 0.015 21% Process new row (236 calls)
% 0.17/0.53 ; 0.010 14% Resolution (178 calls)
% 0.17/0.53 ; 0.001 1% Paramodulation (89 calls)
% 0.17/0.53 ; 0.000 0% Factoring (15 calls)
% 0.17/0.53 ; 0.000 0% Condensing (76 calls)
% 0.17/0.53 ; 0.004 5% Forward subsumption (76 calls)
% 0.17/0.53 ; 0.001 1% Backward subsumption (69 calls)
% 0.17/0.53 ; 0.001 1% Clause clause subsumption (64 calls)
% 0.17/0.53 ; 0.007 10% Forward simplification (228 calls)
% 0.17/0.53 ; 0.002 3% Backward simplification (149 calls)
% 0.17/0.53 ; 0.000 0% Ordering (153 calls)
% 0.17/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.53 ; 0.000 0% Purity testing (1 call)
% 0.17/0.53 ; 0.025 34% Other
% 0.17/0.53 ; 0.073 Total
% 0.17/0.53 ; 0.075 Real time
% 0.17/0.53 ;
% 0.17/0.53 ; Term-hash-array has 297 terms in all.
% 0.17/0.53 ; Feature-vector-row-index has 69 entries (69 at peak, 69 added, 0 deleted).
% 0.17/0.53 ; Feature-vector-row-index has 360 nodes (360 at peak, 360 added, 0 deleted).
% 0.17/0.53 ; Retrieved 55 possibly forward subsuming rows in 76 calls.
% 0.17/0.53 ; Retrieved 14 possibly backward subsumed rows in 69 calls.
% 0.17/0.53 ; Path-index has 301 entries (301 at peak, 305 added, 4 deleted).
% 0.17/0.53 ; Path-index has 858 nodes (858 at peak, 862 added, 4 deleted).
% 0.17/0.53 ; Trie-index has 301 entries (301 at peak, 305 added, 4 deleted).
% 0.17/0.53 ; Trie-index has 1,479 nodes (1,479 at peak, 1,484 added, 5 deleted).
% 0.17/0.53 ; Retrieved 89 generalization terms in 528 calls.
% 0.17/0.53 ; Retrieved 80 instance terms in 79 calls.
% 0.17/0.53 ; Retrieved 3,149 unifiable terms in 1,254 calls.
% 0.17/0.53 ;
% 0.17/0.53 ; The agenda of rows to process has 5 entries:
% 0.17/0.53 ; 5 with value 20
% 0.17/0.53 ; The agenda of rows to give has 58 entries:
% 0.17/0.53 ; 11 with value (4 19) 3 with value (4 30) 3 with value (4 39)
% 0.17/0.53 ; 4 with value (4 20) 3 with value (4 32) 3 with value (4 43)
% 0.17/0.53 ; 3 with value (4 24) 3 with value (4 34) 6 with value (4 47)
% 0.17/0.53 ; 13 with value (4 25) 6 with value (4 36)
% 0.17/0.53 Evaluation took:
% 0.17/0.53 0.075 seconds of real time
% 0.17/0.53 0.066571 seconds of user run time
% 0.17/0.53 0.009126 seconds of system run time
% 0.17/0.53 0 calls to %EVAL
% 0.17/0.53 0 page faults and
% 0.17/0.53 4,651,264 bytes consed.
% 0.17/0.53 :PROOF-FOUND
% 0.17/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T06:12:23
% 0.17/0.53 :PROOF-FOUND
% 0.17/0.53 *
%------------------------------------------------------------------------------