%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU411+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 : Tue Jul 19 14:22:25 EDT 2022
% Result : Theorem 1.17s 1.36s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of clauses : 42 ( 28 unt; 6 nHn; 39 RR)
% Number of literals : 76 ( 5 equ; 37 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(6,negated_conjecture,
l1_orders_2('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(7,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(10,negated_conjecture,
v4_orders_2('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(11,negated_conjecture,
v1_yellow_0('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(12,negated_conjecture,
l1_orders_2('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(13,negated_conjecture,
~ v1_xboole_0(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(14,negated_conjecture,
v12_waybel_0(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),'SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(15,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),k1_zfmisc_1(u1_struct_0('SKOLEMAAAV2'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(16,negated_conjecture,
~ r2_hidden(k3_yellow_0('SKOLEMAAAV2'),u1_struct_0('SKOLEMAAAV1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
cnf(18,axiom,
( ~ l1_orders_2(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| ~ v12_waybel_0(Y,X)
| ~ m1_subset_1(Z,u1_struct_0(X))
| ~ m1_subset_1(U,u1_struct_0(X))
| ~ r2_hidden(Z,Y)
| ~ r1_orders_2(X,U,Z)
| r2_hidden(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d19_waybel_0) ).
cnf(25,axiom,
( X = k1_xboole_0
| r2_hidden('SKOLEMAAAV5'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(26,axiom,
( X != k3_xboole_0(Y,Z)
| ~ r2_hidden(U,X)
| r2_hidden(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(27,axiom,
( X != k3_xboole_0(Y,Z)
| r2_hidden(U,X)
| ~ r2_hidden(U,Y)
| ~ r2_hidden(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(31,axiom,
( ~ l1_orders_2(X)
| m1_subset_1(k3_yellow_0(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
cnf(32,axiom,
( ~ l1_orders_2(X)
| l1_struct_0(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
cnf(35,axiom,
m1_subset_1('SKOLEMAAAV9'(X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
cnf(36,axiom,
( v3_struct_0(X)
| ~ l1_struct_0(X)
| ~ v1_xboole_0(u1_struct_0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(37,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(53,axiom,
( v3_struct_0(X)
| ~ l1_orders_2(X)
| v3_struct_0(Y)
| ~ l1_orders_2(Y)
| ~ r2_hidden(Z,k3_xboole_0(u1_struct_0(X),u1_struct_0(Y)))
| m1_subset_1(Z,u1_struct_0(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_latsum_1) ).
cnf(56,axiom,
( ~ m1_subset_1(X,Y)
| v1_xboole_0(Y)
| r2_hidden(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
cnf(59,axiom,
( v3_struct_0(X)
| ~ v4_orders_2(X)
| ~ v1_yellow_0(X)
| ~ l1_orders_2(X)
| ~ m1_subset_1(Y,u1_struct_0(X))
| r1_orders_2(X,k3_yellow_0(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_yellow_0) ).
cnf(60,axiom,
( ~ r2_hidden(X,Y)
| ~ m1_subset_1(Y,k1_zfmisc_1(Z))
| m1_subset_1(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
cnf(63,axiom,
( ~ r2_hidden(X,Y)
| ~ v1_xboole_0(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(66,plain,
l1_struct_0('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[32,12]) ).
cnf(67,plain,
l1_struct_0('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[32,6]) ).
cnf(69,plain,
~ r2_hidden(X,k1_xboole_0),
inference('UR-RESOLVE',[status(thm)],[63,37]) ).
cnf(72,plain,
m1_subset_1(k3_yellow_0('SKOLEMAAAV2'),u1_struct_0('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[31,12]) ).
cnf(79,plain,
( v1_xboole_0(X)
| r2_hidden('SKOLEMAAAV9'(X),X) ),
inference('HYPERRESOLVE',[status(thm)],[56,35]) ).
cnf(85,plain,
( k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')) = k1_xboole_0
| m1_subset_1('SKOLEMAAAV5'(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),u1_struct_0('SKOLEMAAAV2')) ),
inference('HYPERRESOLVE',[status(thm)],[60,25,15]) ).
cnf(86,plain,
~ r2_hidden(k3_yellow_0('SKOLEMAAAV2'),k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),X)),
inference('UR-RESOLVE',[status(thm)],[26,16,theory(equality)]) ).
cnf(164,plain,
~ v1_xboole_0(u1_struct_0('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[36,66,7]) ).
cnf(167,plain,
~ v1_xboole_0(u1_struct_0('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[36,67,1]) ).
cnf(211,plain,
m1_subset_1('SKOLEMAAAV9'(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),u1_struct_0('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,79,15]),13]) ).
cnf(215,plain,
m1_subset_1('SKOLEMAAAV9'(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),u1_struct_0('SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[53,79,12,6]),1,7,13]) ).
cnf(832,plain,
r2_hidden('SKOLEMAAAV9'(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),u1_struct_0('SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[56,211,164]) ).
cnf(835,plain,
r2_hidden('SKOLEMAAAV9'(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),u1_struct_0('SKOLEMAAAV1')),
inference('UR-RESOLVE',[status(thm)],[56,215,167]) ).
cnf(1340,plain,
k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')) != k1_xboole_0,
inference('UR-RESOLVE',[status(thm)],[27,835,69,832]) ).
cnf(1341,plain,
m1_subset_1('SKOLEMAAAV5'(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),u1_struct_0('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[85,1340]) ).
cnf(1357,plain,
r2_hidden('SKOLEMAAAV5'(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),
inference('UR-RESOLVE',[status(thm)],[25,1340]) ).
cnf(1364,plain,
r1_orders_2('SKOLEMAAAV2',k3_yellow_0('SKOLEMAAAV2'),'SKOLEMAAAV5'(k3_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')))),
inference('UR-RESOLVE',[status(thm)],[59,1341,7,10,11,12]) ).
cnf(1430,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[18,1364,12,15,14,1341,72,86]),1357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU411+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n027.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 01:07:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-20T01:07:09
% 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 2022-06-20T01:07:09
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|k3_xboole_0| ?X ?Y) (|k3_xboole_0| ?Y ?X)).
% 0.20/0.49 WARNING:
% 0.20/0.49 |v1_lattice3| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |v1_waybel_0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.17/1.36 ; Declaring k3_xboole_0 to be commutative.
% 1.17/1.36
% 1.17/1.36 #||
% 1.17/1.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.17/1.36 % SZS output start Refutation
% See solution above
% 1.17/1.36 ||#
% 1.17/1.36
% 1.17/1.36 ; Summary of computation:
% 1.17/1.36 ; 11076 formulas have been input or derived (from 537 formulas).
% 1.17/1.36 ; 1430 (13%) were retained. Of these,
% 1.17/1.36 ; 21 ( 1%) were simplified or subsumed later,
% 1.17/1.36 ; 1409 (99%) are still being kept.
% 1.17/1.36 ;
% 1.17/1.36 ; Run time in seconds excluding printing time:
% 1.17/1.36 ; 0.009 1% Read assertion file (1 call)
% 1.17/1.36 ; 0.001 0% Assert (39 calls)
% 1.17/1.36 ; 0.115 13% Process new row (7,716 calls)
% 1.17/1.36 ; 0.443 50% Resolution (1,072 calls)
% 1.17/1.36 ; 0.010 1% Paramodulation (536 calls)
% 1.17/1.36 ; 0.000 0% Factoring (25 calls)
% 1.17/1.36 ; 0.017 2% Condensing (1,404 calls)
% 1.17/1.36 ; 0.082 9% Forward subsumption (1,404 calls)
% 1.17/1.36 ; 0.034 4% Backward subsumption (554 calls)
% 1.17/1.36 ; 0.005 1% Clause clause subsumption (4,870 calls)
% 1.17/1.36 ; 0.094 11% Forward simplification (7,711 calls)
% 1.17/1.36 ; 0.010 1% Backward simplification (1,429 calls)
% 1.17/1.36 ; 0.009 1% Ordering (8,530 calls)
% 1.17/1.36 ; 0.000 0% Sortal reasoning (32 calls)
% 1.17/1.36 ; 0.000 0% Purity testing (1 call)
% 1.17/1.36 ; 0.058 7% Other
% 1.17/1.36 ; 0.887 Total
% 1.17/1.36 ; 0.889 Real time
% 1.17/1.36 ;
% 1.17/1.36 ; Term-hash-array has 2,416 terms in all.
% 1.17/1.36 ; Feature-vector-row-index has 541 entries (541 at peak, 554 added, 13 deleted).
% 1.17/1.36 ; Feature-vector-row-index has 2,724 nodes (2,735 at peak, 2,839 added, 115 deleted).
% 1.17/1.36 ; Retrieved 6,644 possibly forward subsuming rows in 1,404 calls.
% 1.17/1.36 ; Retrieved 1,658 possibly backward subsumed rows in 554 calls.
% 1.17/1.36 ; Path-index has 2,417 entries (2,417 at peak, 2,446 added, 29 deleted).
% 1.17/1.36 ; Path-index has 2,804 nodes (2,804 at peak, 2,815 added, 11 deleted).
% 1.17/1.36 ; Trie-index has 2,417 entries (2,417 at peak, 2,446 added, 29 deleted).
% 1.17/1.36 ; Trie-index has 8,692 nodes (8,692 at peak, 8,761 added, 69 deleted).
% 1.17/1.36 ; Retrieved 15,282 generalization terms in 21,068 calls.
% 1.17/1.36 ; Retrieved 890 instance terms in 874 calls.
% 1.17/1.36 ; Retrieved 558,969 unifiable terms in 50,317 calls.
% 1.17/1.36 ;
% 1.17/1.36 ; The agenda of rows to process has 2 entries:
% 1.17/1.36 ; 1 with value 20 1 with value 24
% 1.17/1.36 ; The agenda of rows to give has 876 entries:
% 1.17/1.36 ; 6 with value (4 16) 18 with value (4 29) 9 with value (4 41)
% 1.17/1.36 ; 115 with value (4 17) 28 with value (4 30) 8 with value (4 42)
% 1.17/1.36 ; 65 with value (4 18) 18 with value (4 31) 16 with value (4 43)
% 1.17/1.36 ; 86 with value (4 19) 17 with value (4 32) 10 with value (4 44)
% 1.17/1.36 ; 62 with value (4 20) 27 with value (4 33) 8 with value (4 45)
% 1.17/1.36 ; 50 with value (4 21) 10 with value (4 34) 14 with value (4 46)
% 1.17/1.36 ; 31 with value (4 22) 26 with value (4 35) 9 with value (4 49)
% 1.17/1.36 ; 39 with value (4 23) 32 with value (4 36) 9 with value (4 50)
% 1.17/1.36 ; 24 with value (4 24) 11 with value (4 37) 9 with value (4 53)
% 1.17/1.36 ; 23 with value (4 25) 7 with value (4 38) 6 with value (4 54)
% 1.17/1.36 ; 7 with value (4 26) 30 with value (4 39) 2 with value (4 60)
% 1.17/1.36 ; 23 with value (4 27) 5 with value (4 40) 2 with value (4 61)
% 1.17/1.36 ; 14 with value (4 28)
% 1.17/1.36 Evaluation took:
% 1.17/1.36 0.89 seconds of real time
% 1.17/1.36 0.820313 seconds of user run time
% 1.17/1.36 0.069727 seconds of system run time
% 1.17/1.36 [Run times include 0.046 seconds GC run time.]
% 1.17/1.36 0 calls to %EVAL
% 1.17/1.36 0 page faults and
% 1.17/1.36 68,182,200 bytes consed.
% 1.17/1.36 :PROOF-FOUND
% 1.17/1.36 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T01:07:10
% 1.17/1.36 :PROOF-FOUND
% 1.17/1.36 *
%------------------------------------------------------------------------------