TSTP Solution File: SEU210+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU210+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 14:20:09 EDT 2022
% Result : Theorem 0.92s 1.12s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 18 ( 12 unt; 1 nHn; 17 RR)
% Number of literals : 31 ( 4 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(6,axiom,
( ~ relation(X)
| Y != relation_rng(X)
| ~ in(Z,Y)
| in(ordered_pair('SKOLEMAAAV2'(Z,X),Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
cnf(11,axiom,
element('SKOLEMAAAV5'(X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
cnf(13,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(35,axiom,
( ~ relation(X)
| in(Y,relation_inverse_image(X,Z))
| ~ in(U,relation_rng(X))
| ~ in(ordered_pair(Y,U),X)
| ~ in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t166_relat_1) ).
cnf(36,negated_conjecture,
relation('SKOLEMAAAV14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t174_relat_1) ).
cnf(37,negated_conjecture,
'SKOLEMAAAV13' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t174_relat_1) ).
cnf(38,negated_conjecture,
subset('SKOLEMAAAV13',relation_rng('SKOLEMAAAV14')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t174_relat_1) ).
cnf(39,negated_conjecture,
relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13') = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t174_relat_1) ).
cnf(41,axiom,
( ~ element(X,Y)
| empty(Y)
| in(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
cnf(46,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
cnf(47,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
cnf(51,plain,
~ empty('SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[46,37]) ).
cnf(56,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[47,13]) ).
cnf(94,plain,
in('SKOLEMAAAV5'('SKOLEMAAAV13'),'SKOLEMAAAV13'),
inference('UR-RESOLVE',[status(thm)],[41,51,11]) ).
cnf(144,plain,
in('SKOLEMAAAV5'('SKOLEMAAAV13'),relation_rng('SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[3,94,38]) ).
cnf(317,plain,
in(ordered_pair('SKOLEMAAAV2'('SKOLEMAAAV5'('SKOLEMAAAV13'),'SKOLEMAAAV14'),'SKOLEMAAAV5'('SKOLEMAAAV13')),'SKOLEMAAAV14'),
inference('HYPERRESOLVE',[status(thm)],[6,144,36,theory(equality)]) ).
cnf(3870,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[35,317,36,144,94]),56,39,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU210+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 07:45:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T07:45:59
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-19T07:45:59
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.92/1.12 ; Declaring unordered_pair to be commutative.
% 0.92/1.12
% 0.92/1.12 #||
% 0.92/1.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.12 % SZS output start Refutation
% See solution above
% 0.92/1.12 ||#
% 0.92/1.12
% 0.92/1.12 ; Summary of computation:
% 0.92/1.12 ; 8619 formulas have been input or derived (from 895 formulas).
% 0.92/1.12 ; 3870 (45%) were retained. Of these,
% 0.92/1.12 ; 91 ( 2%) were simplified or subsumed later,
% 0.92/1.12 ; 3779 (98%) are still being kept.
% 0.92/1.12 ;
% 0.92/1.12 ; Run time in seconds excluding printing time:
% 0.92/1.12 ; 0.006 1% Read assertion file (1 call)
% 0.92/1.12 ; 0.003 0% Assert (40 calls)
% 0.92/1.12 ; 0.230 35% Process new row (7,702 calls)
% 0.92/1.12 ; 0.170 26% Resolution (1,788 calls)
% 0.92/1.12 ; 0.031 5% Paramodulation (894 calls)
% 0.92/1.12 ; 0.001 0% Factoring (18 calls)
% 0.92/1.12 ; 0.005 1% Condensing (537 calls)
% 0.92/1.12 ; 0.020 3% Forward subsumption (537 calls)
% 0.92/1.12 ; 0.015 2% Backward subsumption (508 calls)
% 0.92/1.12 ; 0.001 0% Clause clause subsumption (480 calls)
% 0.92/1.12 ; 0.081 12% Forward simplification (7,683 calls)
% 0.92/1.12 ; 0.026 4% Backward simplification (3,870 calls)
% 0.92/1.12 ; 0.002 0% Ordering (2,336 calls)
% 0.92/1.12 ; 0.000 0% Sortal reasoning (32 calls)
% 0.92/1.12 ; 0.000 0% Purity testing (1 call)
% 0.92/1.12 ; 0.065 10% Other
% 0.92/1.12 ; 0.656 Total
% 0.92/1.12 ; 0.658 Real time
% 0.92/1.12 ;
% 0.92/1.12 ; Term-hash-array has 5,912 terms in all.
% 0.92/1.12 ; Feature-vector-row-index has 487 entries (487 at peak, 508 added, 21 deleted).
% 0.92/1.12 ; Feature-vector-row-index has 3,409 nodes (3,409 at peak, 3,532 added, 123 deleted).
% 0.92/1.12 ; Retrieved 471 possibly forward subsuming rows in 537 calls.
% 0.92/1.12 ; Retrieved 24 possibly backward subsumed rows in 508 calls.
% 0.92/1.12 ; Path-index has 5,831 entries (5,831 at peak, 5,964 added, 133 deleted).
% 0.92/1.12 ; Path-index has 7,824 nodes (7,824 at peak, 7,948 added, 124 deleted).
% 0.92/1.12 ; Trie-index has 5,831 entries (5,831 at peak, 5,964 added, 133 deleted).
% 0.92/1.12 ; Trie-index has 20,280 nodes (20,280 at peak, 20,639 added, 359 deleted).
% 0.92/1.12 ; Retrieved 7,203 generalization terms in 15,932 calls.
% 0.92/1.12 ; Retrieved 3,443 instance terms in 3,361 calls.
% 0.92/1.12 ; Retrieved 108,516 unifiable terms in 20,819 calls.
% 0.92/1.12 ;
% 0.92/1.12 ; The agenda of rows to process has 12 entries:
% 0.92/1.12 ; 1 with value 17 2 with value 19 2 with value 21
% 0.92/1.12 ; 5 with value 18 1 with value 20 1 with value 25
% 0.92/1.12 ; The agenda of rows to give has 2895 entries:
% 0.92/1.12 ; 1 with value (4 11) 332 with value (4 23) 9 with value (4 32)
% 0.92/1.12 ; 2 with value (4 13) 203 with value (4 24) 6 with value (4 33)
% 0.92/1.12 ; 3 with value (4 15) 70 with value (4 25) 1 with value (4 34)
% 0.92/1.12 ; 262 with value (4 17) 70 with value (4 26) 3 with value (4 35)
% 0.92/1.12 ; 319 with value (4 18) 38 with value (4 27) 5 with value (4 36)
% 0.92/1.12 ; 310 with value (4 19) 33 with value (4 28) 5 with value (4 39)
% 0.92/1.12 ; 300 with value (4 20) 38 with value (4 29) 2 with value (4 40)
% 0.92/1.12 ; 375 with value (4 21) 29 with value (4 30) 1 with value (4 43)
% 0.92/1.12 ; 457 with value (4 22) 21 with value (4 31)
% 0.92/1.12 Evaluation took:
% 0.92/1.12 0.659 seconds of real time
% 0.92/1.12 0.598086 seconds of user run time
% 0.92/1.12 0.060827 seconds of system run time
% 0.92/1.12 [Run times include 0.042 seconds GC run time.]
% 0.92/1.12 0 calls to %EVAL
% 0.92/1.12 0 page faults and
% 0.92/1.12 46,360,784 bytes consed.
% 0.92/1.12 :PROOF-FOUND
% 0.92/1.12 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T07:45:59
% 0.92/1.12 :PROOF-FOUND
% 0.92/1.12 *
%------------------------------------------------------------------------------