TSTP Solution File: SEU215+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 14:20:12 EDT 2022
% Result : Theorem 0.83s 1.01s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 13 unt; 1 nHn; 17 RR)
% Number of literals : 39 ( 6 equ; 24 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ relation(X)
| ~ function(X)
| in(Y,relation_dom(X))
| Z = apply(X,Y)
| Z != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
cnf(9,axiom,
( ~ relation(X)
| ~ relation(Y)
| relation(relation_composition(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
cnf(15,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| function(relation_composition(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
cnf(36,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| in(Z,relation_dom(relation_composition(Y,X)))
| ~ in(Z,relation_dom(Y))
| ~ in(apply(Y,Z),relation_dom(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
cnf(37,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| ~ in(Z,relation_dom(relation_composition(Y,X)))
| apply(relation_composition(Y,X),Z) = apply(X,apply(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
cnf(38,negated_conjecture,
relation('SKOLEMAAAO9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(39,negated_conjecture,
function('SKOLEMAAAO9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(40,negated_conjecture,
relation('SKOLEMAAAO10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(41,negated_conjecture,
function('SKOLEMAAAO10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(42,negated_conjecture,
in('SKOLEMAAAO8',relation_dom('SKOLEMAAAO9')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(43,negated_conjecture,
apply(relation_composition('SKOLEMAAAO9','SKOLEMAAAO10'),'SKOLEMAAAO8') != apply('SKOLEMAAAO10',apply('SKOLEMAAAO9','SKOLEMAAAO8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(73,plain,
relation(relation_composition('SKOLEMAAAO9','SKOLEMAAAO10')),
inference('HYPERRESOLVE',[status(thm)],[9,38,40]) ).
cnf(119,plain,
function(relation_composition('SKOLEMAAAO9','SKOLEMAAAO10')),
inference('HYPERRESOLVE',[status(thm)],[15,38,39,40,41]) ).
cnf(129,plain,
~ in('SKOLEMAAAO8',relation_dom(relation_composition('SKOLEMAAAO9','SKOLEMAAAO10'))),
inference('UR-RESOLVE',[status(thm)],[37,40,41,38,39,43]) ).
cnf(2598,plain,
~ in(apply('SKOLEMAAAO9','SKOLEMAAAO8'),relation_dom('SKOLEMAAAO10')),
inference('UR-RESOLVE',[status(thm)],[36,129,40,41,38,39,42]) ).
cnf(2599,plain,
empty_set = apply(relation_composition('SKOLEMAAAO9','SKOLEMAAAO10'),'SKOLEMAAAO8'),
inference('UR-RESOLVE',[status(thm)],[7,129,73,119,theory(equality)]) ).
cnf(2600,plain,
empty_set != apply('SKOLEMAAAO10',apply('SKOLEMAAAO9','SKOLEMAAAO8')),
inference('REWRITE',[status(thm)],[43,2599,theory(equality)]) ).
cnf(2614,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,2600,40,41,theory(equality)]),2598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.08 % Command : run-snark %s %d
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 600
% 0.09/0.27 % DateTime : Mon Jun 20 07:41:48 EDT 2022
% 0.09/0.27 % CPUTime :
% 0.12/0.35 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 *
% 0.12/0.36 *
% 0.12/0.36 #<PACKAGE "SNARK-USER">
% 0.12/0.36 *
% 0.12/0.36 SNARK-TPTP-OPTIONS
% 0.12/0.36 *
% 0.12/0.36 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.36 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.36 (USE-FACTORING :POS)
% 0.12/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.36 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.36 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.36 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.36 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.36 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.36 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.36 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.36 *
% 0.12/0.36 "."
% 0.12/0.36 *
% 0.12/0.36 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T07:41:48
% 0.12/0.36 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-20T07:41:48
% 0.12/0.37
% 0.12/0.37 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.12/0.37 WARNING:
% 0.12/0.37 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.83/1.01 ; Declaring unordered_pair to be commutative.
% 0.83/1.01
% 0.83/1.01 #||
% 0.83/1.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.01 % SZS output start Refutation
% See solution above
% 0.83/1.04 ||#
% 0.83/1.04
% 0.83/1.04 ; Summary of computation:
% 0.83/1.04 ; 9677 formulas have been input or derived (from 136 formulas).
% 0.83/1.04 ; 2614 (27%) were retained. Of these,
% 0.83/1.04 ; 879 (34%) were simplified or subsumed later,
% 0.83/1.04 ; 1735 (66%) are still being kept.
% 0.83/1.04 ;
% 0.83/1.04 ; Run time in seconds excluding printing time:
% 0.83/1.04 ; 0.005 1% Read assertion file (1 call)
% 0.83/1.04 ; 0.001 0% Assert (40 calls)
% 0.83/1.04 ; 0.154 24% Process new row (9,553 calls)
% 0.83/1.04 ; 0.333 51% Resolution (270 calls)
% 0.83/1.04 ; 0.001 0% Paramodulation (135 calls)
% 0.83/1.04 ; 0.000 0% Factoring (1 call)
% 0.83/1.04 ; 0.001 0% Condensing (686 calls)
% 0.83/1.04 ; 0.046 7% Forward subsumption (686 calls)
% 0.83/1.04 ; 0.011 2% Backward subsumption (491 calls)
% 0.83/1.04 ; 0.002 0% Clause clause subsumption (1,990 calls)
% 0.83/1.04 ; 0.030 5% Forward simplification (6,148 calls)
% 0.83/1.04 ; 0.026 4% Backward simplification (2,614 calls)
% 0.83/1.04 ; 0.000 0% Ordering (111 calls)
% 0.83/1.04 ; 0.000 0% Sortal reasoning (32 calls)
% 0.83/1.04 ; 0.000 0% Purity testing (1 call)
% 0.83/1.04 ; 0.042 6% Other
% 0.83/1.04 ; 0.652 Total
% 0.83/1.04 ; 0.677 Real time
% 0.83/1.04 ;
% 0.83/1.04 ; Term-hash-array has 5,350 terms in all.
% 0.83/1.04 ; Feature-vector-row-index has 481 entries (481 at peak, 491 added, 10 deleted).
% 0.83/1.04 ; Feature-vector-row-index has 2,871 nodes (2,871 at peak, 2,945 added, 74 deleted).
% 0.83/1.04 ; Retrieved 1,445 possibly forward subsuming rows in 686 calls.
% 0.83/1.04 ; Retrieved 593 possibly backward subsumed rows in 491 calls.
% 0.83/1.04 ; Path-index has 3,670 entries (3,758 at peak, 5,363 added, 1,693 deleted).
% 0.83/1.04 ; Path-index has 900 nodes (900 at peak, 944 added, 44 deleted).
% 0.83/1.04 ; Trie-index has 3,670 entries (3,758 at peak, 5,363 added, 1,693 deleted).
% 0.83/1.04 ; Trie-index has 11,977 nodes (11,977 at peak, 13,977 added, 2,000 deleted).
% 0.83/1.04 ; Retrieved 3,995 generalization terms in 12,791 calls.
% 0.83/1.04 ; Retrieved 2,122 instance terms in 2,122 calls.
% 0.83/1.04 ; Retrieved 1,074,686 unifiable terms in 51,665 calls.
% 0.83/1.04 ;
% 0.83/1.04 ; The agenda of rows to process has 2 entries:
% 0.83/1.04 ; 1 with value 10 1 with value 16
% 0.83/1.04 ; The agenda of rows to give has 1626 entries:
% 0.83/1.04 ; 2 with value (4 10) 1 with value (4 19) 27 with value (4 30)
% 0.83/1.04 ; 426 with value (4 11) 1 with value (4 20) 54 with value (4 33)
% 0.83/1.04 ; 3 with value (4 12) 9 with value (4 21) 81 with value (4 34)
% 0.83/1.04 ; 724 with value (4 13) 9 with value (4 22) 18 with value (4 35)
% 0.83/1.04 ; 7 with value (4 14) 2 with value (4 23) 81 with value (4 39)
% 0.83/1.04 ; 9 with value (4 16) 9 with value (4 25) 54 with value (4 47)
% 0.83/1.04 ; 1 with value (4 18) 27 with value (4 28) 81 with value (4 57)
% 0.83/1.04 Evaluation took:
% 0.83/1.04 0.678 seconds of real time
% 0.83/1.04 0.638067 seconds of user run time
% 0.83/1.04 0.039667 seconds of system run time
% 0.83/1.04 [Run times include 0.052 seconds GC run time.]
% 0.83/1.04 0 calls to %EVAL
% 0.83/1.04 0 page faults and
% 0.83/1.04 64,135,528 bytes consed.
% 0.83/1.04 :PROOF-FOUND
% 0.83/1.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T07:41:49
% 0.83/1.04 :PROOF-FOUND
% 0.83/1.04 *
%------------------------------------------------------------------------------