TSTP Solution File: SEU248+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:20:36 EDT 2022
% Result : Theorem 1.07s 1.26s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 1 nHn; 12 RR)
% Number of literals : 28 ( 3 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 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 : 22 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ relation(X)
| ~ relation(Y)
| Y != relation_rng_restriction(Z,X)
| ~ in(ordered_pair(U,V),Y)
| in(ordered_pair(U,V),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).
cnf(10,axiom,
( subset(X,Y)
| in('SKOLEMAAAV3'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(11,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(12,axiom,
( ~ relation(X)
| Y != relation_dom(X)
| ~ in(Z,Y)
| in(ordered_pair(Z,'SKOLEMAAAV4'(Z,X)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(13,axiom,
( ~ relation(X)
| Y != relation_dom(X)
| in(Z,Y)
| ~ in(ordered_pair(Z,U),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
cnf(17,axiom,
( ~ relation(X)
| relation(relation_rng_restriction(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
cnf(22,negated_conjecture,
relation('SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).
cnf(23,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9')),relation_dom('SKOLEMAAAV9')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).
cnf(51,plain,
relation(relation_rng_restriction(X,'SKOLEMAAAV9')),
inference('HYPERRESOLVE',[status(thm)],[17,22]) ).
cnf(57,plain,
in('SKOLEMAAAV3'(relation_dom(relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9')),relation_dom('SKOLEMAAAV9')),relation_dom(relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9'))),
inference('HYPERRESOLVE',[status(thm)],[23,10]) ).
cnf(58,plain,
~ in('SKOLEMAAAV3'(relation_dom(relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9')),relation_dom('SKOLEMAAAV9')),relation_dom('SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[11,23]) ).
cnf(470,plain,
~ in(ordered_pair('SKOLEMAAAV3'(relation_dom(relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9')),relation_dom('SKOLEMAAAV9')),X),'SKOLEMAAAV9'),
inference('UR-RESOLVE',[status(thm)],[13,58,22,theory(equality)]) ).
cnf(913,plain,
in(ordered_pair('SKOLEMAAAV3'(relation_dom(relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9')),relation_dom('SKOLEMAAAV9')),'SKOLEMAAAV4'('SKOLEMAAAV3'(relation_dom(relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9')),relation_dom('SKOLEMAAAV9')),relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9'))),relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9')),
inference('HYPERRESOLVE',[status(thm)],[12,57,51,theory(equality)]) ).
cnf(1295,plain,
~ in(ordered_pair('SKOLEMAAAV3'(relation_dom(relation_rng_restriction('SKOLEMAAAV8','SKOLEMAAAV9')),relation_dom('SKOLEMAAAV9')),X),relation_rng_restriction(Y,'SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[4,470,22,51,theory(equality)]) ).
cnf(1296,plain,
$false,
inference('REWRITE',[status(thm)],[913,1295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n016.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sun Jun 19 13:29:23 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T13:29:24
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-19T13:29:24
% 0.22/0.54
% 0.22/0.54 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.22/0.54 WARNING:
% 0.22/0.54 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.07/1.26 ; Declaring unordered_pair to be commutative.
% 1.07/1.26
% 1.07/1.26 #||
% 1.07/1.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.26 % SZS output start Refutation
% See solution above
% 1.07/1.27 ||#
% 1.07/1.27
% 1.07/1.27 ; Summary of computation:
% 1.07/1.27 ; 2218 formulas have been input or derived (from 176 formulas).
% 1.07/1.27 ; 1296 (58%) were retained. Of these,
% 1.07/1.27 ; 34 ( 3%) were simplified or subsumed later,
% 1.07/1.27 ; 1262 (97%) are still being kept.
% 1.07/1.27 ;
% 1.07/1.27 ; Run time in seconds excluding printing time:
% 1.07/1.27 ; 0.006 1% Read assertion file (1 call)
% 1.07/1.27 ; 0.002 0% Assert (35 calls)
% 1.07/1.27 ; 0.154 21% Process new row (2,051 calls)
% 1.07/1.27 ; 0.375 51% Resolution (350 calls)
% 1.07/1.27 ; 0.008 1% Paramodulation (175 calls)
% 1.07/1.27 ; 0.000 0% Factoring (24 calls)
% 1.07/1.27 ; 0.008 1% Condensing (796 calls)
% 1.07/1.27 ; 0.072 10% Forward subsumption (796 calls)
% 1.07/1.27 ; 0.029 4% Backward subsumption (692 calls)
% 1.07/1.27 ; 0.004 1% Clause clause subsumption (803 calls)
% 1.07/1.27 ; 0.034 5% Forward simplification (2,036 calls)
% 1.07/1.27 ; 0.006 1% Backward simplification (1,296 calls)
% 1.07/1.27 ; 0.006 1% Ordering (2,503 calls)
% 1.07/1.27 ; 0.000 0% Sortal reasoning (32 calls)
% 1.07/1.27 ; 0.001 0% Purity testing (1 call)
% 1.07/1.27 ; 0.036 5% Other
% 1.07/1.27 ; 0.741 Total
% 1.07/1.27 ; 0.751 Real time
% 1.07/1.27 ;
% 1.07/1.27 ; Term-hash-array has 3,429 terms in all.
% 1.07/1.27 ; Feature-vector-row-index has 670 entries (670 at peak, 692 added, 22 deleted).
% 1.07/1.27 ; Feature-vector-row-index has 6,496 nodes (6,496 at peak, 6,734 added, 238 deleted).
% 1.07/1.27 ; Retrieved 1,067 possibly forward subsuming rows in 796 calls.
% 1.07/1.27 ; Retrieved 101 possibly backward subsumed rows in 692 calls.
% 1.07/1.27 ; Path-index has 3,400 entries (3,403 at peak, 3,523 added, 123 deleted).
% 1.07/1.27 ; Path-index has 3,434 nodes (3,440 at peak, 3,470 added, 36 deleted).
% 1.07/1.27 ; Trie-index has 3,400 entries (3,403 at peak, 3,523 added, 123 deleted).
% 1.07/1.27 ; Trie-index has 13,179 nodes (13,211 at peak, 13,624 added, 445 deleted).
% 1.07/1.27 ; Retrieved 1,062 generalization terms in 8,001 calls.
% 1.07/1.27 ; Retrieved 609 instance terms in 603 calls.
% 1.07/1.27 ; Retrieved 495,642 unifiable terms in 35,655 calls.
% 1.07/1.27 ;
% 1.07/1.27 ; The agenda of rows to process has 11 entries:
% 1.07/1.27 ; 1 with value 21 3 with value 24 3 with value 29
% 1.07/1.27 ; 1 with value 22 3 with value 26
% 1.07/1.27 ; The agenda of rows to give has 1091 entries:
% 1.07/1.27 ; 1 with value (4 13) 4 with value (4 37) 9 with value (4 66)
% 1.07/1.27 ; 10 with value (4 18) 10 with value (4 38) 9 with value (4 67)
% 1.07/1.27 ; 50 with value (4 19) 19 with value (4 39) 12 with value (4 68)
% 1.07/1.27 ; 30 with value (4 20) 7 with value (4 40) 9 with value (4 69)
% 1.07/1.27 ; 64 with value (4 21) 8 with value (4 41) 9 with value (4 71)
% 1.07/1.27 ; 82 with value (4 22) 21 with value (4 42) 9 with value (4 74)
% 1.07/1.27 ; 85 with value (4 23) 18 with value (4 43) 9 with value (4 76)
% 1.07/1.27 ; 67 with value (4 24) 6 with value (4 44) 18 with value (4 79)
% 1.07/1.27 ; 70 with value (4 25) 3 with value (4 46) 12 with value (4 80)
% 1.07/1.27 ; 68 with value (4 26) 3 with value (4 48) 9 with value (4 83)
% 1.07/1.27 ; 42 with value (4 27) 6 with value (4 49) 9 with value (4 84)
% 1.07/1.27 ; 24 with value (4 28) 12 with value (4 51) 9 with value (4 86)
% 1.07/1.27 ; 8 with value (4 29) 27 with value (4 52) 9 with value (4 87)
% 1.07/1.27 ; 15 with value (4 30) 12 with value (4 54) 9 with value (4 92)
% 1.07/1.27 ; 15 with value (4 31) 3 with value (4 55) 9 with value (4 95)
% 1.07/1.27 ; 5 with value (4 32) 9 with value (4 56) 18 with value (4 96)
% 1.07/1.27 ; 9 with value (4 33) 9 with value (4 57) 9 with value (4 107)
% 1.07/1.27 ; 7 with value (4 34) 3 with value (4 61) 9 with value (4 108)
% 1.07/1.27 ; 14 with value (4 35) 24 with value (4 64) 9 with value (4 120)
% 1.07/1.27 ; 14 with value (4 36) 12 with value (4 65)
% 1.07/1.27 Evaluation took:
% 1.07/1.28 0.752 seconds of real time
% 1.07/1.28 0.721365 seconds of user run time
% 1.07/1.28 0.031047 seconds of system run time
% 1.07/1.28 [Run times include 0.043 seconds GC run time.]
% 1.07/1.28 0 calls to %EVAL
% 1.07/1.28 0 page faults and
% 1.07/1.28 51,749,408 bytes consed.
% 1.07/1.28 :PROOF-FOUND
% 1.07/1.28 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T13:29:24
% 1.07/1.28 :PROOF-FOUND
% 1.07/1.28 *
%------------------------------------------------------------------------------