TSTP Solution File: SEU353+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU353+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:21:33 EDT 2022
% Result : Theorem 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 24 ( 16 unt; 2 nHn; 17 RR)
% Number of literals : 40 ( 8 equ; 17 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-4 aty)
% Number of variables : 25 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ relation_of2(X,Y,Z)
| ~ function(X)
| ~ v1_partfun1(X,Y,Z)
| quasi_total(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
cnf(13,axiom,
( ~ one_sorted_str(X)
| identity_on_carrier(X) = identity_as_relation_of(the_carrier(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_grcat_1) ).
cnf(14,axiom,
v1_partfun1(identity_as_relation_of(X),X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
cnf(15,axiom,
relation_of2_as_subset(identity_as_relation_of(X),X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
cnf(26,axiom,
( empty_carrier(X)
| ~ one_sorted_str(X)
| ~ empty(the_carrier(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(29,axiom,
function(identity_relation(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).
cnf(68,axiom,
identity_as_relation_of(X) = identity_relation(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
cnf(69,axiom,
( empty(X)
| ~ function(Y)
| ~ quasi_total(Y,X,Z)
| ~ relation_of2(Y,X,Z)
| ~ element(U,X)
| apply_as_element(X,Z,Y,U) = apply(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
cnf(70,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| relation_of2(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(74,axiom,
( ~ element(X,Y)
| empty(Y)
| in(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
cnf(75,axiom,
( ~ in(X,Y)
| apply(identity_relation(Y),X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).
cnf(76,plain,
( ~ in(X,Y)
| apply(identity_as_relation_of(Y),X) = X ),
inference('REWRITE',[status(thm)],[75,68,theory(equality)]) ).
cnf(84,negated_conjecture,
~ empty_carrier('SKOLEMAAAV16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_tmap_1) ).
cnf(85,negated_conjecture,
one_sorted_str('SKOLEMAAAV16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_tmap_1) ).
cnf(86,negated_conjecture,
element('SKOLEMAAAV17',the_carrier('SKOLEMAAAV16')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_tmap_1) ).
cnf(87,negated_conjecture,
apply_as_element(the_carrier('SKOLEMAAAV16'),the_carrier('SKOLEMAAAV16'),identity_on_carrier('SKOLEMAAAV16'),'SKOLEMAAAV17') != 'SKOLEMAAAV17',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_tmap_1) ).
cnf(89,plain,
function(identity_as_relation_of(X)),
inference('REWRITE',[status(thm)],[29,68,theory(equality)]) ).
cnf(108,plain,
relation_of2(identity_as_relation_of(X),X,X),
inference('HYPERRESOLVE',[status(thm)],[70,15]) ).
cnf(119,plain,
~ empty(the_carrier('SKOLEMAAAV16')),
inference('UR-RESOLVE',[status(thm)],[26,84,85]) ).
cnf(127,plain,
in('SKOLEMAAAV17',the_carrier('SKOLEMAAAV16')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[74,86]),119]) ).
cnf(131,plain,
identity_on_carrier('SKOLEMAAAV16') = identity_as_relation_of(the_carrier('SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[13,85]) ).
cnf(401,plain,
apply(identity_on_carrier('SKOLEMAAAV16'),'SKOLEMAAAV17') = 'SKOLEMAAAV17',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[76,127]),131,theory(equality)]) ).
cnf(560,plain,
quasi_total(identity_as_relation_of(X),X,X),
inference('HYPERRESOLVE',[status(thm)],[2,108,89,14]) ).
cnf(2159,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[69,560,119,89,108,86]),87,401,131,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU353+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n004.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 : Mon Jun 20 11:45:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T11:45:08
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-20T11:45:08
% 0.20/0.48 WARNING:
% 0.20/0.48 |antisymmetric| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.63/0.82
% 0.63/0.82
% 0.63/0.82 #||
% 0.63/0.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.82 % SZS output start Refutation
% See solution above
% 0.63/0.83 ||#
% 0.63/0.83
% 0.63/0.83 ; Summary of computation:
% 0.63/0.83 ; 2494 formulas have been input or derived (from 152 formulas).
% 0.63/0.83 ; 2159 (87%) were retained. Of these,
% 0.63/0.83 ; 78 ( 4%) were simplified or subsumed later,
% 0.63/0.83 ; 2081 (96%) are still being kept.
% 0.63/0.83 ;
% 0.63/0.83 ; Run time in seconds excluding printing time:
% 0.63/0.83 ; 0.013 4% Read assertion file (1 call)
% 0.63/0.83 ; 0.003 1% Assert (57 calls)
% 0.63/0.83 ; 0.132 36% Process new row (2,348 calls)
% 0.63/0.83 ; 0.135 37% Resolution (302 calls)
% 0.63/0.83 ; 0.001 0% Paramodulation (151 calls)
% 0.63/0.83 ; 0.000 0% Factoring (1 call)
% 0.63/0.83 ; 0.001 0% Condensing (55 calls)
% 0.63/0.83 ; 0.003 1% Forward subsumption (55 calls)
% 0.63/0.83 ; 0.001 0% Backward subsumption (54 calls)
% 0.63/0.83 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.63/0.83 ; 0.024 7% Forward simplification (2,344 calls)
% 0.63/0.83 ; 0.020 5% Backward simplification (2,158 calls)
% 0.63/0.83 ; 0.000 0% Ordering (130 calls)
% 0.63/0.83 ; 0.000 0% Sortal reasoning (32 calls)
% 0.63/0.83 ; 0.000 0% Purity testing (1 call)
% 0.63/0.83 ; 0.033 9% Other
% 0.63/0.83 ; 0.366 Total
% 0.63/0.83 ; 0.369 Real time
% 0.63/0.83 ;
% 0.63/0.83 ; Term-hash-array has 4,151 terms in all.
% 0.63/0.83 ; Feature-vector-row-index has 54 entries (54 at peak, 54 added, 0 deleted).
% 0.63/0.83 ; Feature-vector-row-index has 213 nodes (213 at peak, 213 added, 0 deleted).
% 0.63/0.83 ; Retrieved 3 possibly forward subsuming rows in 55 calls.
% 0.63/0.83 ; Retrieved 1 possibly backward subsumed row in 54 calls.
% 0.63/0.83 ; Path-index has 4,082 entries (4,082 at peak, 4,159 added, 77 deleted).
% 0.63/0.83 ; Path-index has 3,256 nodes (3,256 at peak, 3,477 added, 221 deleted).
% 0.63/0.83 ; Trie-index has 4,082 entries (4,082 at peak, 4,159 added, 77 deleted).
% 0.63/0.83 ; Trie-index has 10,898 nodes (10,898 at peak, 11,708 added, 810 deleted).
% 0.63/0.83 ; Retrieved 309 generalization terms in 2,692 calls.
% 0.63/0.83 ; Retrieved 2,128 instance terms in 2,103 calls.
% 0.63/0.83 ; Retrieved 152,894 unifiable terms in 29,576 calls.
% 0.63/0.83 ;
% 0.63/0.83 ; The agenda of rows to process has 60 entries:
% 0.63/0.83 ; 2 with value 22 17 with value 27 7 with value 32
% 0.63/0.83 ; 4 with value 24 1 with value 28 14 with value 33
% 0.63/0.83 ; 1 with value 25 1 with value 29 4 with value 39
% 0.63/0.83 ; 9 with value 26
% 0.63/0.83 ; The agenda of rows to give has 1936 entries:
% 0.63/0.83 ; 4 with value (4 8) 259 with value (4 16) 2 with value (4 24)
% 0.63/0.83 ; 5 with value (4 9) 21 with value (4 17) 8 with value (4 25)
% 0.63/0.83 ; 54 with value (4 10) 19 with value (4 18) 7 with value (4 26)
% 0.63/0.83 ; 123 with value (4 11) 7 with value (4 19) 4 with value (4 31)
% 0.63/0.83 ; 124 with value (4 12) 25 with value (4 20) 4 with value (4 32)
% 0.63/0.83 ; 159 with value (4 13) 25 with value (4 21) 24 with value (4 33)
% 0.63/0.83 ; 481 with value (4 14) 3 with value (4 22) 4 with value (4 37)
% 0.63/0.83 ; 565 with value (4 15) 5 with value (4 23) 4 with value (4 38)
% 0.63/0.83 Evaluation took:
% 0.63/0.83 0.37 seconds of real time
% 0.63/0.83 0.344364 seconds of user run time
% 0.63/0.83 0.024827 seconds of system run time
% 0.63/0.83 [Run times include 0.027 seconds GC run time.]
% 0.63/0.83 0 calls to %EVAL
% 0.63/0.83 0 page faults and
% 0.63/0.83 28,402,688 bytes consed.
% 0.63/0.83 :PROOF-FOUND
% 0.63/0.83 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T11:45:09
% 0.63/0.83 :PROOF-FOUND
% 0.63/0.83 *
%------------------------------------------------------------------------------