TSTP Solution File: SEU030+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU030+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:18:48 EDT 2022
% Result : Theorem 26.72s 26.90s
% Output : Refutation 26.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 18 RR)
% Number of literals : 37 ( 11 equ; 20 neg)
% Maximal clause size : 10 ( 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; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ relation(X)
| ~ function(X)
| relation(function_inverse(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ function(X)
| function(function_inverse(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(25,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| ~ relation(Z)
| ~ function(Z)
| relation_rng(X) != U
| relation_composition(X,Y) != identity_relation(relation_dom(Z))
| relation_composition(Y,Z) != identity_relation(U)
| Z = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l72_funct_1) ).
cnf(52,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| relation_dom(X) = relation_rng(function_inverse(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(55,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| relation_composition(function_inverse(X),X) = identity_relation(relation_rng(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_funct_1) ).
cnf(56,negated_conjecture,
relation('SKOLEMAAAW12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(57,negated_conjecture,
function('SKOLEMAAAW12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(58,negated_conjecture,
relation('SKOLEMAAAW13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(59,negated_conjecture,
function('SKOLEMAAAW13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(60,negated_conjecture,
one_to_one('SKOLEMAAAW12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(61,negated_conjecture,
relation_rng('SKOLEMAAAW12') = relation_dom('SKOLEMAAAW13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(62,negated_conjecture,
relation_composition('SKOLEMAAAW12','SKOLEMAAAW13') = identity_relation(relation_dom('SKOLEMAAAW12')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(63,negated_conjecture,
'SKOLEMAAAW13' != function_inverse('SKOLEMAAAW12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(94,plain,
relation(function_inverse('SKOLEMAAAW12')),
inference('HYPERRESOLVE',[status(thm)],[5,56,57]) ).
cnf(99,plain,
function(function_inverse('SKOLEMAAAW12')),
inference('HYPERRESOLVE',[status(thm)],[6,56,57]) ).
cnf(217,plain,
relation_dom('SKOLEMAAAW12') = relation_rng(function_inverse('SKOLEMAAAW12')),
inference('HYPERRESOLVE',[status(thm)],[52,56,57,60]) ).
cnf(221,plain,
relation_composition(function_inverse('SKOLEMAAAW12'),'SKOLEMAAAW12') = identity_relation(relation_dom('SKOLEMAAAW13')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[55,56,57,60]),61,theory(equality)]) ).
cnf(8029,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[25,217,94,99,56,57,58,59,62,63]),221,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU030+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 23:39:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T23:39:44
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-18T23:39:44
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 26.72/26.90
% 26.72/26.90
% 26.72/26.90 #||
% 26.72/26.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.72/26.90 % SZS output start Refutation
% See solution above
% 26.72/26.90 ||#
% 26.72/26.90
% 26.72/26.90 ; Summary of computation:
% 26.72/26.90 ; 27348 formulas have been input or derived (from 258 formulas).
% 26.72/26.90 ; 8029 (29%) were retained. Of these,
% 26.72/26.90 ; 1901 (24%) were simplified or subsumed later,
% 26.72/26.90 ; 6128 (76%) are still being kept.
% 26.72/26.90 ;
% 26.72/26.90 ; Run time in seconds excluding printing time:
% 26.72/26.90 ; 0.009 0% Read assertion file (1 call)
% 26.72/26.90 ; 0.002 0% Assert (43 calls)
% 26.72/26.90 ; 0.410 2% Process new row (27,100 calls)
% 26.72/26.90 ; 25.655 97% Resolution (514 calls)
% 26.72/26.90 ; 0.008 0% Paramodulation (257 calls)
% 26.72/26.90 ; 0.000 0% Factoring (3 calls)
% 26.72/26.90 ; 0.001 0% Condensing (78 calls)
% 26.72/26.90 ; 0.004 0% Forward subsumption (78 calls)
% 26.72/26.90 ; 0.000 0% Backward subsumption (76 calls)
% 26.72/26.90 ; 0.000 0% Clause clause subsumption (16 calls)
% 26.72/26.90 ; 0.109 0% Forward simplification (18,422 calls)
% 26.72/26.90 ; 0.119 0% Backward simplification (8,029 calls)
% 26.72/26.90 ; 0.000 0% Ordering (176 calls)
% 26.72/26.90 ; 0.000 0% Sortal reasoning (32 calls)
% 26.72/26.90 ; 0.000 0% Purity testing (1 call)
% 26.72/26.90 ; 0.109 0% Other
% 26.72/26.90 ; 26.426 Total
% 26.72/26.90 ; 26.428 Real time
% 26.72/26.90 ;
% 26.72/26.90 ; Term-hash-array has 14,201 terms in all.
% 26.72/26.90 ; Feature-vector-row-index has 75 entries (75 at peak, 76 added, 1 deleted).
% 26.72/26.90 ; Feature-vector-row-index has 421 nodes (421 at peak, 430 added, 9 deleted).
% 26.72/26.90 ; Retrieved 17 possibly forward subsuming rows in 78 calls.
% 26.72/26.90 ; Retrieved 9 possibly backward subsumed rows in 76 calls.
% 26.72/26.90 ; Path-index has 10,572 entries (10,572 at peak, 14,221 added, 3,649 deleted).
% 26.72/26.90 ; Path-index has 961 nodes (961 at peak, 1,064 added, 103 deleted).
% 26.72/26.90 ; Trie-index has 10,572 entries (10,572 at peak, 14,221 added, 3,649 deleted).
% 26.72/26.90 ; Trie-index has 14,548 nodes (14,548 at peak, 19,027 added, 4,479 deleted).
% 26.72/26.90 ; Retrieved 10,769 generalization terms in 43,475 calls.
% 26.72/26.90 ; Retrieved 7,966 instance terms in 7,952 calls.
% 26.72/26.90 ; Retrieved 85,082,329 unifiable terms in 3,188,193 calls.
% 26.72/26.90 ;
% 26.72/26.90 ; The agenda of rows to process has 2 entries:
% 26.72/26.90 ; 1 with value 17 1 with value 55
% 26.72/26.90 ; The agenda of rows to give has 5916 entries:
% 26.72/26.90 ; 136 with value (4 10) 56 with value (4 17) 1 with value (4 37)
% 26.72/26.90 ; 776 with value (4 11) 3 with value (4 18) 4 with value (4 38)
% 26.72/26.90 ; 565 with value (4 12) 1 with value (4 19) 1 with value (4 40)
% 26.72/26.90 ; 1856 with value (4 13) 5 with value (4 32) 1 with value (4 41)
% 26.72/26.90 ; 412 with value (4 14) 5 with value (4 33) 1 with value (4 42)
% 26.72/26.90 ; 1597 with value (4 15) 10 with value (4 35) 1 with value (4 44)
% 26.72/26.90 ; 481 with value (4 16) 3 with value (4 36) 1 with value (4 46)
% 26.72/26.90 Evaluation took:
% 26.72/26.90 26.429 seconds of real time
% 26.72/26.90 26.175919 seconds of user run time
% 26.72/26.90 0.251799 seconds of system run time
% 26.72/26.90 [Run times include 0.906 seconds GC run time.]
% 26.72/26.90 0 calls to %EVAL
% 26.72/26.90 0 page faults and
% 26.72/26.90 1,745,560,248 bytes consed.
% 26.72/26.90 :PROOF-FOUND
% 26.72/26.90 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T23:40:10
% 26.72/26.90 :PROOF-FOUND
% 26.72/26.90 *
%------------------------------------------------------------------------------