TSTP Solution File: SEU307+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:21:09 EDT 2022
% Result : Theorem 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 24 ( 8 equ; 9 neg)
% Maximal clause size : 3 ( 1 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; 0-3 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(69,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(72,axiom,
( ~ element(X,powerset(Y))
| ~ element(Z,powerset(Y))
| subset_intersection2(Y,X,Z) = set_intersection2(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
cnf(76,axiom,
( ~ element(X,powerset(Y))
| subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
cnf(77,axiom,
( element(X,powerset(Y))
| ~ subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
cnf(78,axiom,
( ~ one_sorted_str(X)
| cast_as_carrier_subset(X) = the_carrier(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
cnf(79,negated_conjecture,
one_sorted_str('SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_pre_topc) ).
cnf(80,negated_conjecture,
element('SKOLEMAAAV7',powerset(the_carrier('SKOLEMAAAV6'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_pre_topc) ).
cnf(81,negated_conjecture,
subset_intersection2(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7',cast_as_carrier_subset('SKOLEMAAAV6')) != 'SKOLEMAAAV7',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_pre_topc) ).
cnf(82,axiom,
( ~ subset(X,Y)
| set_intersection2(X,Y) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
cnf(101,plain,
subset('SKOLEMAAAV7',the_carrier('SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[76,80]) ).
cnf(104,plain,
element(X,powerset(X)),
inference('HYPERRESOLVE',[status(thm)],[77,69]) ).
cnf(105,plain,
cast_as_carrier_subset('SKOLEMAAAV6') = the_carrier('SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[78,79]) ).
cnf(106,plain,
element('SKOLEMAAAV7',powerset(cast_as_carrier_subset('SKOLEMAAAV6'))),
inference('REWRITE',[status(thm)],[80,105,theory(equality)]) ).
cnf(107,plain,
subset_intersection2(cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7',cast_as_carrier_subset('SKOLEMAAAV6')) != 'SKOLEMAAAV7',
inference('REWRITE',[status(thm)],[81,105,theory(equality)]) ).
cnf(108,plain,
subset('SKOLEMAAAV7',cast_as_carrier_subset('SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[101,105,theory(equality)]) ).
cnf(212,plain,
subset_intersection2(cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7',cast_as_carrier_subset('SKOLEMAAAV6')) = set_intersection2(cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[72,104,106]) ).
cnf(213,plain,
set_intersection2(cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7') != 'SKOLEMAAAV7',
inference('REWRITE',[status(thm)],[107,212,theory(equality)]) ).
cnf(220,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[82,213]),108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 : Sun Jun 19 11:04:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-06-19T11:04:40
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-19T11:04:40
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.49 WARNING:
% 0.19/0.49 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.56 ; Declaring set_intersection2 to be commutative.
% 0.39/0.56
% 0.39/0.56 #||
% 0.39/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.56 % SZS output start Refutation
% See solution above
% 0.39/0.56 ||#
% 0.39/0.56
% 0.39/0.56 ; Summary of computation:
% 0.39/0.56 ; 936 formulas have been input or derived (from 100 formulas).
% 0.39/0.56 ; 220 (24%) were retained. Of these,
% 0.39/0.56 ; 24 (11%) were simplified or subsumed later,
% 0.39/0.56 ; 196 (89%) are still being kept.
% 0.39/0.56 ;
% 0.39/0.56 ; Run time in seconds excluding printing time:
% 0.39/0.56 ; 0.012 13% Read assertion file (1 call)
% 0.39/0.56 ; 0.002 2% Assert (59 calls)
% 0.39/0.56 ; 0.011 12% Process new row (834 calls)
% 0.39/0.56 ; 0.015 17% Resolution (198 calls)
% 0.39/0.56 ; 0.001 1% Paramodulation (99 calls)
% 0.39/0.56 ; 0.000 0% Factoring (1 call)
% 0.39/0.56 ; 0.002 2% Condensing (116 calls)
% 0.39/0.56 ; 0.005 6% Forward subsumption (116 calls)
% 0.39/0.56 ; 0.001 1% Backward subsumption (88 calls)
% 0.39/0.56 ; 0.000 0% Clause clause subsumption (81 calls)
% 0.39/0.56 ; 0.008 9% Forward simplification (819 calls)
% 0.39/0.56 ; 0.004 4% Backward simplification (219 calls)
% 0.39/0.56 ; 0.000 0% Ordering (92 calls)
% 0.39/0.56 ; 0.001 1% Sortal reasoning (32 calls)
% 0.39/0.56 ; 0.001 1% Purity testing (1 call)
% 0.39/0.56 ; 0.027 30% Other
% 0.39/0.56 ; 0.090 Total
% 0.39/0.56 ; 0.092 Real time
% 0.39/0.56 ;
% 0.39/0.56 ; Term-hash-array has 276 terms in all.
% 0.39/0.56 ; Feature-vector-row-index has 88 entries (88 at peak, 88 added, 0 deleted).
% 0.39/0.56 ; Feature-vector-row-index has 276 nodes (276 at peak, 276 added, 0 deleted).
% 0.39/0.56 ; Retrieved 50 possibly forward subsuming rows in 116 calls.
% 0.39/0.56 ; Retrieved 35 possibly backward subsumed rows in 88 calls.
% 0.39/0.56 ; Path-index has 256 entries (256 at peak, 282 added, 26 deleted).
% 0.39/0.56 ; Path-index has 466 nodes (466 at peak, 490 added, 24 deleted).
% 0.39/0.56 ; Trie-index has 256 entries (256 at peak, 282 added, 26 deleted).
% 0.39/0.56 ; Trie-index has 699 nodes (699 at peak, 793 added, 94 deleted).
% 0.39/0.56 ; Retrieved 860 generalization terms in 1,257 calls.
% 0.39/0.56 ; Retrieved 188 instance terms in 130 calls.
% 0.39/0.56 ; Retrieved 4,397 unifiable terms in 1,104 calls.
% 0.39/0.56 ;
% 0.39/0.56 ; The agenda of rows to give has 100 entries:
% 0.39/0.56 ; 3 with value (4 7) 3 with value (4 13) 1 with value (4 19)
% 0.39/0.56 ; 15 with value (4 8) 3 with value (4 14) 4 with value (4 21)
% 0.39/0.56 ; 10 with value (4 9) 2 with value (4 15) 2 with value (4 22)
% 0.39/0.56 ; 11 with value (4 10) 12 with value (4 16) 3 with value (4 23)
% 0.39/0.56 ; 16 with value (4 11) 1 with value (4 17) 1 with value (4 25)
% 0.39/0.56 ; 6 with value (4 12) 7 with value (4 18)
% 0.39/0.56 Evaluation took:
% 0.39/0.56 0.092 seconds of real time
% 0.39/0.56 0.081963 seconds of user run time
% 0.39/0.56 0.010063 seconds of system run time
% 0.39/0.56 0 calls to %EVAL
% 0.39/0.56 0 page faults and
% 0.39/0.56 5,220,760 bytes consed.
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T11:04:40
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 *
%------------------------------------------------------------------------------