%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT288+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 : Sun Jul 17 06:43:25 EDT 2022
% Result : Theorem 1.41s 1.64s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 18 unt; 6 nHn; 24 RR)
% Number of literals : 61 ( 5 equ; 30 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lopclset) ).
cnf(2,negated_conjecture,
v10_lattices('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lopclset) ).
cnf(3,negated_conjecture,
v17_lattices('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lopclset) ).
cnf(4,negated_conjecture,
~ v3_realset2('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lopclset) ).
cnf(5,negated_conjecture,
l3_lattices('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lopclset) ).
cnf(6,negated_conjecture,
m1_subset_1('SKOLEMAAAW2',u1_struct_0('SKOLEMAAAW1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lopclset) ).
cnf(7,negated_conjecture,
~ r1_tarski(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),k7_lopclset('SKOLEMAAAW1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_lopclset) ).
cnf(55,axiom,
( r1_tarski(X,Y)
| r2_hidden('SKOLEMAAAW3'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(56,axiom,
( r1_tarski(X,Y)
| ~ r2_hidden('SKOLEMAAAW3'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(57,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| k7_lopclset(X) = a_1_1_lopclset(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lopclset) ).
cnf(86,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| r2_hidden(Y,a_1_1_lopclset(X))
| ~ m1_filter_0(Z,X)
| Y != Z
| ~ v1_filter_0(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_1_1_lopclset) ).
cnf(87,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ r2_hidden(Z,a_2_0_lopclset(X,Y))
| m1_filter_0('SKOLEMAAAW11'(X,Z,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_lopclset) ).
cnf(88,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ r2_hidden(Z,a_2_0_lopclset(X,Y))
| Z = 'SKOLEMAAAW11'(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_lopclset) ).
cnf(89,axiom,
( v3_struct_0(X)
| ~ v10_lattices(X)
| ~ v17_lattices(X)
| v3_realset2(X)
| ~ l3_lattices(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| ~ r2_hidden(Z,a_2_0_lopclset(X,Y))
| v1_filter_0('SKOLEMAAAW11'(X,Z,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_lopclset) ).
cnf(196,plain,
r2_hidden('SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),k7_lopclset('SKOLEMAAAW1')),a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2')),
inference('UR-RESOLVE',[status(thm)],[55,7]) ).
cnf(197,plain,
~ r2_hidden('SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),k7_lopclset('SKOLEMAAAW1')),k7_lopclset('SKOLEMAAAW1')),
inference('UR-RESOLVE',[status(thm)],[56,7]) ).
cnf(290,plain,
k7_lopclset('SKOLEMAAAW1') = a_1_1_lopclset('SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[57,1,2,3,4,5]) ).
cnf(293,plain,
r2_hidden('SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),a_1_1_lopclset('SKOLEMAAAW1')),a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2')),
inference('REWRITE',[status(thm)],[196,290,theory(equality)]) ).
cnf(294,plain,
~ r2_hidden('SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),a_1_1_lopclset('SKOLEMAAAW1')),a_1_1_lopclset('SKOLEMAAAW1')),
inference('REWRITE',[status(thm)],[197,290,theory(equality)]) ).
cnf(5374,plain,
v1_filter_0('SKOLEMAAAW11'('SKOLEMAAAW1','SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),a_1_1_lopclset('SKOLEMAAAW1')),'SKOLEMAAAW2'),'SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[89,293,1,2,3,4,5,6]) ).
cnf(5375,plain,
m1_filter_0('SKOLEMAAAW11'('SKOLEMAAAW1','SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),a_1_1_lopclset('SKOLEMAAAW1')),'SKOLEMAAAW2'),'SKOLEMAAAW1'),
inference('UR-RESOLVE',[status(thm)],[87,293,1,2,3,4,5,6]) ).
cnf(5376,plain,
'SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),a_1_1_lopclset('SKOLEMAAAW1')) = 'SKOLEMAAAW11'('SKOLEMAAAW1','SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),a_1_1_lopclset('SKOLEMAAAW1')),'SKOLEMAAAW2'),
inference('UR-RESOLVE',[status(thm)],[88,293,1,2,3,4,5,6]) ).
cnf(5378,plain,
v1_filter_0('SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),a_1_1_lopclset('SKOLEMAAAW1')),'SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[5374,5376,theory(equality)]) ).
cnf(5379,plain,
m1_filter_0('SKOLEMAAAW3'(a_2_0_lopclset('SKOLEMAAAW1','SKOLEMAAAW2'),a_1_1_lopclset('SKOLEMAAAW1')),'SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[5375,5376,theory(equality)]) ).
cnf(5474,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[86,5378,1,2,3,4,5,294,theory(equality)]),5379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT288+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 : Tue Jun 28 18:57:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T18:57:19
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-28T18:57:19
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v12_lattices| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.41/1.64
% 1.41/1.64
% 1.41/1.64 #||
% 1.41/1.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.41/1.64 % SZS output start Refutation
% See solution above
% 1.41/1.64 ||#
% 1.41/1.64
% 1.41/1.64 ; Summary of computation:
% 1.41/1.64 ; 24090 formulas have been input or derived (from 954 formulas).
% 1.41/1.64 ; 5474 (23%) were retained. Of these,
% 1.41/1.64 ; 104 ( 2%) were simplified or subsumed later,
% 1.41/1.64 ; 5370 (98%) are still being kept.
% 1.41/1.64 ;
% 1.41/1.64 ; Run time in seconds excluding printing time:
% 1.41/1.64 ; 0.016 1% Read assertion file (1 call)
% 1.41/1.64 ; 0.006 1% Assert (69 calls)
% 1.41/1.64 ; 0.333 28% Process new row (22,077 calls)
% 1.41/1.64 ; 0.314 27% Resolution (1,906 calls)
% 1.41/1.64 ; 0.009 1% Paramodulation (953 calls)
% 1.41/1.64 ; 0.000 0% Factoring (90 calls)
% 1.41/1.64 ; 0.012 1% Condensing (4,193 calls)
% 1.41/1.64 ; 0.125 11% Forward subsumption (4,193 calls)
% 1.41/1.64 ; 0.048 4% Backward subsumption (2,057 calls)
% 1.41/1.64 ; 0.015 1% Clause clause subsumption (8,536 calls)
% 1.41/1.64 ; 0.159 14% Forward simplification (22,054 calls)
% 1.41/1.64 ; 0.019 2% Backward simplification (5,474 calls)
% 1.41/1.64 ; 0.006 1% Ordering (5,083 calls)
% 1.41/1.64 ; 0.000 0% Sortal reasoning (32 calls)
% 1.41/1.64 ; 0.001 0% Purity testing (1 call)
% 1.41/1.64 ; 0.106 9% Other
% 1.41/1.64 ; 1.169 Total
% 1.41/1.64 ; 1.172 Real time
% 1.41/1.64 ;
% 1.41/1.64 ; Term-hash-array has 8,189 terms in all.
% 1.41/1.64 ; Feature-vector-row-index has 2,040 entries (2,041 at peak, 2,057 added, 17 deleted).
% 1.41/1.64 ; Feature-vector-row-index has 9,315 nodes (9,327 at peak, 9,461 added, 146 deleted).
% 1.41/1.64 ; Retrieved 16,165 possibly forward subsuming rows in 4,193 calls.
% 1.41/1.64 ; Retrieved 1,283 possibly backward subsumed rows in 2,057 calls.
% 1.41/1.64 ; Path-index has 8,060 entries (8,060 at peak, 8,222 added, 162 deleted).
% 1.41/1.64 ; Path-index has 13,604 nodes (13,604 at peak, 13,768 added, 164 deleted).
% 1.41/1.64 ; Trie-index has 8,060 entries (8,060 at peak, 8,222 added, 162 deleted).
% 1.41/1.64 ; Trie-index has 22,484 nodes (22,484 at peak, 22,850 added, 366 deleted).
% 1.41/1.64 ; Retrieved 18,848 generalization terms in 39,566 calls.
% 1.41/1.64 ; Retrieved 3,492 instance terms in 3,416 calls.
% 1.41/1.64 ; Retrieved 235,751 unifiable terms in 26,660 calls.
% 1.41/1.64 ;
% 1.41/1.64 ; The agenda of rows to give has 4424 entries:
% 1.41/1.64 ; 8 with value (4 13) 92 with value (4 29) 3 with value (4 45)
% 1.41/1.64 ; 397 with value (4 14) 176 with value (4 30) 20 with value (4 46)
% 1.41/1.64 ; 396 with value (4 15) 52 with value (4 31) 4 with value (4 47)
% 1.41/1.64 ; 397 with value (4 16) 20 with value (4 32) 4 with value (4 48)
% 1.41/1.64 ; 450 with value (4 17) 82 with value (4 33) 8 with value (4 49)
% 1.41/1.64 ; 362 with value (4 18) 74 with value (4 34) 20 with value (4 50)
% 1.41/1.64 ; 486 with value (4 19) 46 with value (4 35) 4 with value (4 51)
% 1.41/1.64 ; 430 with value (4 20) 40 with value (4 36) 8 with value (4 52)
% 1.41/1.64 ; 102 with value (4 21) 22 with value (4 37) 4 with value (4 53)
% 1.41/1.64 ; 46 with value (4 22) 16 with value (4 38) 4 with value (4 55)
% 1.41/1.64 ; 149 with value (4 23) 11 with value (4 39) 6 with value (4 56)
% 1.41/1.64 ; 124 with value (4 24) 4 with value (4 40) 16 with value (4 58)
% 1.41/1.64 ; 161 with value (4 25) 17 with value (4 41) 2 with value (4 60)
% 1.41/1.64 ; 32 with value (4 26) 11 with value (4 42) 8 with value (4 61)
% 1.41/1.64 ; 34 with value (4 27) 24 with value (4 43) 8 with value (4 65)
% 1.41/1.64 ; 40 with value (4 28) 4 with value (4 44)
% 1.41/1.64 Evaluation took:
% 1.41/1.64 1.173 seconds of real time
% 1.41/1.64 1.031922 seconds of user run time
% 1.41/1.64 0.140885 seconds of system run time
% 1.41/1.64 [Run times include 0.113 seconds GC run time.]
% 1.41/1.64 0 calls to %EVAL
% 1.41/1.64 0 page faults and
% 1.41/1.64 109,064,768 bytes consed.
% 1.41/1.64 :PROOF-FOUND
% 1.41/1.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T18:57:20
% 1.41/1.64 :PROOF-FOUND
% 1.41/1.64 *
%------------------------------------------------------------------------------