TSTP Solution File: SEU344+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU344+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:21:29 EDT 2022
% Result : Theorem 9.08s 9.28s
% Output : Refutation 9.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 11 unt; 4 nHn; 17 RR)
% Number of literals : 38 ( 8 equ; 17 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( empty_carrier(X)
| ~ join_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| ~ below(X,Y,Z)
| join(X,Y,Z) = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
cnf(8,axiom,
( empty_carrier(X)
| ~ join_semilatt_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,the_carrier(X))
| below(X,Y,Z)
| join(X,Y,Z) != Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
cnf(13,axiom,
latt_str(boole_lattice(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice3) ).
cnf(20,axiom,
( ~ latt_str(X)
| join_semilatt_str(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
cnf(35,axiom,
~ empty_carrier(boole_lattice(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice3) ).
cnf(68,axiom,
( ~ subset(X,Y)
| set_union2(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(70,axiom,
( ~ element(X,the_carrier(boole_lattice(Y)))
| ~ element(Z,the_carrier(boole_lattice(Y)))
| join(boole_lattice(Y),X,Z) = set_union2(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_lattice3) ).
cnf(74,negated_conjecture,
element('SKOLEMAAAV17',the_carrier(boole_lattice('SKOLEMAAAV16'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lattice3) ).
cnf(75,negated_conjecture,
element('SKOLEMAAAV18',the_carrier(boole_lattice('SKOLEMAAAV16'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lattice3) ).
cnf(76,negated_conjecture,
( ~ below(boole_lattice('SKOLEMAAAV16'),'SKOLEMAAAV17','SKOLEMAAAV18')
| ~ subset('SKOLEMAAAV17','SKOLEMAAAV18') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lattice3) ).
cnf(77,negated_conjecture,
( below(boole_lattice('SKOLEMAAAV16'),'SKOLEMAAAV17','SKOLEMAAAV18')
| subset('SKOLEMAAAV17','SKOLEMAAAV18') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lattice3) ).
cnf(85,axiom,
subset(X,set_union2(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(96,plain,
join_semilatt_str(boole_lattice(X)),
inference('HYPERRESOLVE',[status(thm)],[20,13]) ).
cnf(170,plain,
join(boole_lattice('SKOLEMAAAV16'),'SKOLEMAAAV17','SKOLEMAAAV18') = set_union2('SKOLEMAAAV17','SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[70,74,75]) ).
cnf(251,plain,
( subset('SKOLEMAAAV17','SKOLEMAAAV18')
| set_union2('SKOLEMAAAV17','SKOLEMAAAV18') = 'SKOLEMAAAV18' ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,96,74,75,77]),170,35,theory(equality)]) ).
cnf(21840,plain,
( below(boole_lattice('SKOLEMAAAV16'),'SKOLEMAAAV17','SKOLEMAAAV18')
| set_union2('SKOLEMAAAV17','SKOLEMAAAV18') != 'SKOLEMAAAV18' ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,170,theory(equality)]),75,74,96,35]) ).
cnf(21842,plain,
set_union2('SKOLEMAAAV17','SKOLEMAAAV18') = 'SKOLEMAAAV18',
inference('HYPERRESOLVE',[status(thm)],[68,251]) ).
cnf(21847,plain,
below(boole_lattice('SKOLEMAAAV16'),'SKOLEMAAAV17','SKOLEMAAAV18'),
inference('REWRITE',[status(thm)],[21840,21842,theory(equality)]) ).
cnf(21848,plain,
~ subset('SKOLEMAAAV17','SKOLEMAAAV18'),
inference('REWRITE',[status(thm)],[76,21847]) ).
cnf(21857,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[85,21842,theory(equality)]),21848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU344+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n025.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 11:32:29 EDT 2022
% 0.14/0.35 % 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 2022-06-20T11:32:30
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-20T11:32:30
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.51 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.51 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.51 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.51 ; Declaring unordered_pair to be commutative.
% 0.21/0.51 ; Declaring set_union2 to be commutative.
% 9.08/9.28 ; Declaring set_intersection2 to be commutative.
% 9.08/9.28
% 9.08/9.28 #||
% 9.08/9.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.08/9.28 % SZS output start Refutation
% See solution above
% 9.08/9.28 ||#
% 9.08/9.28
% 9.08/9.28 ; Summary of computation:
% 9.08/9.28 ; 23211 formulas have been input or derived (from 391 formulas).
% 9.08/9.28 ; 21857 (94%) were retained. Of these,
% 9.08/9.28 ; 94 ( 0%) were simplified or subsumed later,
% 9.08/9.28 ; 21763 (100%) are still being kept.
% 9.08/9.28 ;
% 9.08/9.28 ; Run time in seconds excluding printing time:
% 9.08/9.28 ; 0.016 0% Read assertion file (1 call)
% 9.08/9.28 ; 0.002 0% Assert (81 calls)
% 9.08/9.28 ; 1.630 19% Process new row (22,900 calls)
% 9.08/9.28 ; 6.281 71% Resolution (780 calls)
% 9.08/9.28 ; 0.018 0% Paramodulation (390 calls)
% 9.08/9.28 ; 0.000 0% Factoring (8 calls)
% 9.08/9.28 ; 0.002 0% Condensing (108 calls)
% 9.08/9.28 ; 0.013 0% Forward subsumption (108 calls)
% 9.08/9.28 ; 0.002 0% Backward subsumption (102 calls)
% 9.08/9.28 ; 0.001 0% Clause clause subsumption (14 calls)
% 9.08/9.28 ; 0.238 3% Forward simplification (22,890 calls)
% 9.08/9.28 ; 0.477 5% Backward simplification (21,857 calls)
% 9.08/9.28 ; 0.000 0% Ordering (458 calls)
% 9.08/9.28 ; 0.000 0% Sortal reasoning (32 calls)
% 9.08/9.28 ; 0.000 0% Purity testing (1 call)
% 9.08/9.28 ; 0.117 1% Other
% 9.08/9.28 ; 8.797 Total
% 9.08/9.28 ; 8.801 Real time
% 9.08/9.28 ;
% 9.08/9.28 ; Term-hash-array has 43,440 terms in all.
% 9.08/9.28 ; Feature-vector-row-index has 95 entries (99 at peak, 102 added, 7 deleted).
% 9.08/9.28 ; Feature-vector-row-index has 524 nodes (563 at peak, 590 added, 66 deleted).
% 9.08/9.28 ; Retrieved 13 possibly forward subsuming rows in 108 calls.
% 9.08/9.28 ; Retrieved 7 possibly backward subsumed rows in 102 calls.
% 9.08/9.28 ; Path-index has 43,322 entries (43,394 at peak, 43,461 added, 139 deleted).
% 9.08/9.28 ; Path-index has 5,323 nodes (5,348 at peak, 5,445 added, 122 deleted).
% 9.08/9.28 ; Trie-index has 43,322 entries (43,394 at peak, 43,461 added, 139 deleted).
% 9.08/9.28 ; Trie-index has 111,072 nodes (111,581 at peak, 111,901 added, 829 deleted).
% 9.08/9.28 ; Retrieved 12,218 generalization terms in 38,861 calls.
% 9.08/9.28 ; Retrieved 21,780 instance terms in 21,754 calls.
% 9.08/9.28 ; Retrieved 9,029,085 unifiable terms in 1,419,335 calls.
% 9.08/9.28 ;
% 9.08/9.28 ; The agenda of rows to process has 11 entries:
% 9.08/9.28 ; 1 with value 8 8 with value 10 2 with value 11
% 9.08/9.28 ; The agenda of rows to give has 21383 entries:
% 9.08/9.28 ; 1 with value (4 10) 3153 with value (4 18) 5 with value (4 27)
% 9.08/9.28 ; 2 with value (4 11) 4468 with value (4 19) 12 with value (4 30)
% 9.08/9.28 ; 3 with value (4 12) 5431 with value (4 20) 10 with value (4 32)
% 9.08/9.28 ; 164 with value (4 13) 3722 with value (4 21) 6 with value (4 33)
% 9.08/9.28 ; 280 with value (4 14) 244 with value (4 22) 1 with value (4 36)
% 9.08/9.28 ; 591 with value (4 15) 45 with value (4 23) 4 with value (4 37)
% 9.08/9.28 ; 1128 with value (4 16) 14 with value (4 24) 6 with value (4 42)
% 9.08/9.28 ; 2045 with value (4 17) 42 with value (4 25) 6 with value (4 54)
% 9.08/9.28 Evaluation took:
% 9.08/9.28 8.803 seconds of real time
% 9.08/9.28 8.492627 seconds of user run time
% 9.08/9.28 0.3079 seconds of system run time
% 9.08/9.28 [Run times include 1.271 seconds GC run time.]
% 9.08/9.28 0 calls to %EVAL
% 9.08/9.28 0 page faults and
% 9.08/9.28 734,464,784 bytes consed.
% 9.08/9.28 :PROOF-FOUND
% 9.08/9.28 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T11:32:38
% 9.08/9.29 :PROOF-FOUND
% 9.08/9.29 *
%------------------------------------------------------------------------------