TSTP Solution File: SEU032+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:18:49 EDT 2022
% Result : Theorem 1.38s 1.54s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 18 RR)
% Number of literals : 41 ( 10 equ; 24 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 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/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ function(X)
| function(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(50,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| relation_rng(X) = relation_dom(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(51,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| relation_dom(X) = relation_rng(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
cnf(54,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| relation_composition(function_inverse(X),X) = identity_relation(relation_rng(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1) ).
cnf(55,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| one_to_one(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_funct_1) ).
cnf(56,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| ~ one_to_one(X)
| relation_rng(X) != relation_dom(Y)
| relation_composition(X,Y) != identity_relation(relation_dom(X))
| Y = function_inverse(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_funct_1) ).
cnf(57,negated_conjecture,
relation('SKOLEMAAAV12'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1) ).
cnf(58,negated_conjecture,
function('SKOLEMAAAV12'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1) ).
cnf(59,negated_conjecture,
one_to_one('SKOLEMAAAV12'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1) ).
cnf(60,negated_conjecture,
function_inverse(function_inverse('SKOLEMAAAV12')) != 'SKOLEMAAAV12',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_funct_1) ).
cnf(90,plain,
relation(function_inverse('SKOLEMAAAV12')),
inference('HYPERRESOLVE',[status(thm)],[5,57,58]) ).
cnf(94,plain,
function(function_inverse('SKOLEMAAAV12')),
inference('HYPERRESOLVE',[status(thm)],[6,57,58]) ).
cnf(169,plain,
one_to_one(function_inverse('SKOLEMAAAV12')),
inference('HYPERRESOLVE',[status(thm)],[55,57,58,59]) ).
cnf(187,plain,
relation_rng('SKOLEMAAAV12') = relation_dom(function_inverse('SKOLEMAAAV12')),
inference('HYPERRESOLVE',[status(thm)],[50,57,58,59]) ).
cnf(189,plain,
relation_dom('SKOLEMAAAV12') = relation_rng(function_inverse('SKOLEMAAAV12')),
inference('HYPERRESOLVE',[status(thm)],[51,57,58,59]) ).
cnf(193,plain,
relation_composition(function_inverse('SKOLEMAAAV12'),'SKOLEMAAAV12') = identity_relation(relation_dom(function_inverse('SKOLEMAAAV12'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[54,57,58,59]),187,theory(equality)]) ).
cnf(4916,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[56,189,90,94,57,58,169,60]),193,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n007.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 : Sat Jun 18 18:52:28 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 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 2022-06-18T18:52:28
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T18:52:28
% 0.21/0.50 WARNING:
% 0.21/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.38/1.54
% 1.38/1.54
% 1.38/1.54 #||
% 1.38/1.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.54 % SZS output start Refutation
% See solution above
% 1.38/1.55 ||#
% 1.38/1.55
% 1.38/1.55 ; Summary of computation:
% 1.38/1.55 ; 17729 formulas have been input or derived (from 229 formulas).
% 1.38/1.55 ; 4916 (28%) were retained. Of these,
% 1.38/1.55 ; 1305 (27%) were simplified or subsumed later,
% 1.38/1.55 ; 3611 (73%) are still being kept.
% 1.38/1.55 ;
% 1.38/1.55 ; Run time in seconds excluding printing time:
% 1.38/1.55 ; 0.008 1% Read assertion file (1 call)
% 1.38/1.55 ; 0.002 0% Assert (44 calls)
% 1.38/1.55 ; 0.262 25% Process new row (17,494 calls)
% 1.38/1.55 ; 0.581 55% Resolution (456 calls)
% 1.38/1.55 ; 0.003 0% Paramodulation (228 calls)
% 1.38/1.55 ; 0.000 0% Factoring (3 calls)
% 1.38/1.55 ; 0.003 0% Condensing (61 calls)
% 1.38/1.55 ; 0.001 0% Forward subsumption (61 calls)
% 1.38/1.55 ; 0.002 0% Backward subsumption (58 calls)
% 1.38/1.55 ; 0.000 0% Clause clause subsumption (15 calls)
% 1.38/1.55 ; 0.069 6% Forward simplification (11,496 calls)
% 1.38/1.55 ; 0.070 7% Backward simplification (4,916 calls)
% 1.38/1.55 ; 0.000 0% Ordering (175 calls)
% 1.38/1.55 ; 0.000 0% Sortal reasoning (32 calls)
% 1.38/1.55 ; 0.001 0% Purity testing (1 call)
% 1.38/1.55 ; 0.063 6% Other
% 1.38/1.55 ; 1.065 Total
% 1.38/1.55 ; 1.067 Real time
% 1.38/1.55 ;
% 1.38/1.55 ; Term-hash-array has 8,769 terms in all.
% 1.38/1.55 ; Feature-vector-row-index has 56 entries (56 at peak, 58 added, 2 deleted).
% 1.38/1.55 ; Feature-vector-row-index has 282 nodes (282 at peak, 303 added, 21 deleted).
% 1.38/1.55 ; Retrieved 11 possibly forward subsuming rows in 61 calls.
% 1.38/1.55 ; Retrieved 4 possibly backward subsumed rows in 58 calls.
% 1.38/1.55 ; Path-index has 6,311 entries (6,311 at peak, 8,795 added, 2,484 deleted).
% 1.38/1.55 ; Path-index has 962 nodes (962 at peak, 1,081 added, 119 deleted).
% 1.38/1.55 ; Trie-index has 6,311 entries (6,311 at peak, 8,795 added, 2,484 deleted).
% 1.38/1.55 ; Trie-index has 9,267 nodes (9,267 at peak, 12,454 added, 3,187 deleted).
% 1.38/1.55 ; Retrieved 6,927 generalization terms in 26,688 calls.
% 1.38/1.55 ; Retrieved 4,871 instance terms in 4,857 calls.
% 1.38/1.55 ; Retrieved 1,513,445 unifiable terms in 62,932 calls.
% 1.38/1.55 ;
% 1.38/1.55 ; The agenda of rows to process has 2 entries:
% 1.38/1.55 ; 1 with value 17 1 with value 51
% 1.38/1.55 ; The agenda of rows to give has 3425 entries:
% 1.38/1.55 ; 86 with value (4 10) 319 with value (4 16) 2 with value (4 25)
% 1.38/1.55 ; 470 with value (4 11) 48 with value (4 17) 2 with value (4 26)
% 1.38/1.55 ; 328 with value (4 12) 3 with value (4 18) 2 with value (4 29)
% 1.38/1.55 ; 991 with value (4 13) 1 with value (4 19) 2 with value (4 33)
% 1.38/1.55 ; 267 with value (4 14) 2 with value (4 20) 1 with value (4 34)
% 1.38/1.55 ; 899 with value (4 15) 2 with value (4 21)
% 1.38/1.55 Evaluation took:
% 1.38/1.55 1.068 seconds of real time
% 1.38/1.55 1.001903 seconds of user run time
% 1.38/1.55 0.066086 seconds of system run time
% 1.38/1.55 [Run times include 0.087 seconds GC run time.]
% 1.38/1.55 0 calls to %EVAL
% 1.38/1.55 0 page faults and
% 1.38/1.55 78,021,168 bytes consed.
% 1.38/1.55 :PROOF-FOUND
% 1.38/1.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T18:52:29
% 1.38/1.55 :PROOF-FOUND
% 1.38/1.55 *
%------------------------------------------------------------------------------