TSTP Solution File: SEU407+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:22:21 EDT 2022
% Result : Theorem 0.84s 1.06s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of clauses : 33 ( 23 unt; 3 nHn; 31 RR)
% Number of literals : 55 ( 7 equ; 28 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,negated_conjecture,
l1_orders_2('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
cnf(3,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
cnf(4,negated_conjecture,
l1_orders_2('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
cnf(5,negated_conjecture,
m1_subset_1('SKOLEMAAAV3',u1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
cnf(6,negated_conjecture,
~ r2_hidden('SKOLEMAAAV3',u1_struct_0('SKOLEMAAAV1')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
cnf(7,negated_conjecture,
~ r2_hidden('SKOLEMAAAV3',k4_xboole_0(u1_struct_0('SKOLEMAAAV2'),u1_struct_0('SKOLEMAAAV1'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
cnf(11,axiom,
( ~ l1_orders_2(X)
| ~ l1_orders_2(Y)
| ~ v1_orders_2(Z)
| ~ l1_orders_2(Z)
| Z != k1_latsum_1(X,Y)
| u1_struct_0(Z) = k2_xboole_0(u1_struct_0(X),u1_struct_0(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
cnf(14,axiom,
( X != k2_xboole_0(Y,Z)
| ~ r2_hidden(U,X)
| r2_hidden(U,Y)
| r2_hidden(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(21,axiom,
( ~ l1_orders_2(X)
| ~ l1_orders_2(Y)
| v1_orders_2(k1_latsum_1(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
cnf(22,axiom,
( ~ l1_orders_2(X)
| ~ l1_orders_2(Y)
| l1_orders_2(k1_latsum_1(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
cnf(25,axiom,
( ~ l1_orders_2(X)
| l1_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
cnf(33,axiom,
( ~ l1_orders_2(X)
| v3_struct_0(Y)
| ~ l1_orders_2(Y)
| ~ v3_struct_0(k1_latsum_1(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_latsum_1) ).
cnf(34,axiom,
( v3_struct_0(X)
| ~ l1_struct_0(X)
| ~ v1_xboole_0(u1_struct_0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(35,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(51,axiom,
k2_xboole_0(X,k1_xboole_0) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
cnf(53,axiom,
( ~ m1_subset_1(X,Y)
| v1_xboole_0(Y)
| r2_hidden(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
cnf(54,axiom,
k2_xboole_0(X,k4_xboole_0(Y,X)) = k2_xboole_0(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
cnf(62,axiom,
( ~ r2_hidden(X,Y)
| ~ v1_xboole_0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
cnf(68,plain,
~ r2_hidden(X,k1_xboole_0),
inference('UR-RESOLVE',[status(thm)],[62,35]) ).
cnf(80,plain,
( v1_xboole_0(u1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2')))
| r2_hidden('SKOLEMAAAV3',u1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2'))) ),
inference('HYPERRESOLVE',[status(thm)],[53,5]) ).
cnf(87,plain,
v1_orders_2(k1_latsum_1('SKOLEMAAAV2','SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[21,4,2]) ).
cnf(89,plain,
v1_orders_2(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[21,2,4]) ).
cnf(96,plain,
l1_orders_2(k1_latsum_1('SKOLEMAAAV2','SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[22,4,2]) ).
cnf(98,plain,
l1_orders_2(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[22,2,4]) ).
cnf(112,plain,
~ v3_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[33,2,3,4]) ).
cnf(118,plain,
~ r2_hidden('SKOLEMAAAV3',k2_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2'))),
inference('UR-RESOLVE',[status(thm)],[14,54,6,7]) ).
cnf(367,plain,
u1_struct_0(k1_latsum_1('SKOLEMAAAV2','SKOLEMAAAV1')) = k2_xboole_0(u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[11,96,4,2,87,theory(equality)]) ).
cnf(368,plain,
~ r2_hidden('SKOLEMAAAV3',u1_struct_0(k1_latsum_1('SKOLEMAAAV2','SKOLEMAAAV1'))),
inference('REWRITE',[status(thm)],[118,367,theory(equality)]) ).
cnf(419,plain,
l1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[25,98]) ).
cnf(466,plain,
u1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2')) = u1_struct_0(k1_latsum_1('SKOLEMAAAV2','SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,98,2,4,89,theory(equality)]),367,theory(equality)]) ).
cnf(653,plain,
~ v1_xboole_0(u1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2'))),
inference('UR-RESOLVE',[status(thm)],[34,419,112]) ).
cnf(654,plain,
r2_hidden('SKOLEMAAAV3',u1_struct_0(k1_latsum_1('SKOLEMAAAV1','SKOLEMAAAV2'))),
inference('REWRITE',[status(thm)],[80,653]) ).
cnf(794,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[14,654,368,68]),466,51,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 08:07:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T08:07:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-19T08:07:23
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|k2_xboole_0| ?X ?Y) (|k2_xboole_0| ?Y ?X)).
% 0.19/0.49 ; Recognized right identity assertion (= (|k2_xboole_0| ?X |k1_xboole_0|) ?X).
% 0.19/0.49 ; Recognized right identity assertion (= (|k4_xboole_0| ?X |k1_xboole_0|) ?X).
% 0.84/1.06 ; Declaring k2_xboole_0 to be commutative.
% 0.84/1.06
% 0.84/1.06 #||
% 0.84/1.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.06 % SZS output start Refutation
% See solution above
% 0.84/1.07 ||#
% 0.84/1.07
% 0.84/1.07 ; Summary of computation:
% 0.84/1.07 ; 2011 formulas have been input or derived (from 138 formulas).
% 0.84/1.07 ; 794 (39%) were retained. Of these,
% 0.84/1.07 ; 13 ( 2%) were simplified or subsumed later,
% 0.84/1.07 ; 781 (98%) are still being kept.
% 0.84/1.07 ;
% 0.84/1.07 ; Run time in seconds excluding printing time:
% 0.84/1.07 ; 0.011 2% Read assertion file (1 call)
% 0.84/1.07 ; 0.003 1% Assert (55 calls)
% 0.84/1.07 ; 0.040 7% Process new row (1,755 calls)
% 0.84/1.07 ; 0.471 79% Resolution (274 calls)
% 0.84/1.07 ; 0.005 1% Paramodulation (137 calls)
% 0.84/1.07 ; 0.000 0% Factoring (2 calls)
% 0.84/1.07 ; 0.008 1% Condensing (188 calls)
% 0.84/1.07 ; 0.005 1% Forward subsumption (188 calls)
% 0.84/1.07 ; 0.001 0% Backward subsumption (88 calls)
% 0.84/1.07 ; 0.005 1% Clause clause subsumption (369 calls)
% 0.84/1.07 ; 0.016 3% Forward simplification (1,685 calls)
% 0.84/1.07 ; 0.005 1% Backward simplification (794 calls)
% 0.84/1.07 ; 0.001 0% Ordering (715 calls)
% 0.84/1.07 ; 0.000 0% Sortal reasoning (32 calls)
% 0.84/1.07 ; 0.000 0% Purity testing (1 call)
% 0.84/1.07 ; 0.028 5% Other
% 0.84/1.07 ; 0.599 Total
% 0.84/1.07 ; 0.600 Real time
% 0.84/1.07 ;
% 0.84/1.07 ; Term-hash-array has 1,281 terms in all.
% 0.84/1.07 ; Feature-vector-row-index has 84 entries (84 at peak, 88 added, 4 deleted).
% 0.84/1.07 ; Feature-vector-row-index has 295 nodes (295 at peak, 330 added, 35 deleted).
% 0.84/1.07 ; Retrieved 620 possibly forward subsuming rows in 188 calls.
% 0.84/1.07 ; Retrieved 41 possibly backward subsumed rows in 88 calls.
% 0.84/1.07 ; Path-index has 1,269 entries (1,269 at peak, 1,291 added, 22 deleted).
% 0.84/1.07 ; Path-index has 1,589 nodes (1,589 at peak, 1,616 added, 27 deleted).
% 0.84/1.07 ; Trie-index has 1,269 entries (1,269 at peak, 1,291 added, 22 deleted).
% 0.84/1.07 ; Trie-index has 3,299 nodes (3,299 at peak, 3,366 added, 67 deleted).
% 0.84/1.07 ; Retrieved 1,556 generalization terms in 3,156 calls.
% 0.84/1.07 ; Retrieved 714 instance terms in 705 calls.
% 0.84/1.07 ; Retrieved 707,499 unifiable terms in 55,265 calls.
% 0.84/1.07 ;
% 0.84/1.07 ; The agenda of rows to process has 17 entries:
% 0.84/1.07 ; 4 with value 17 1 with value 19 1 with value 21
% 0.84/1.07 ; 5 with value 18 3 with value 20 3 with value 22
% 0.84/1.07 ; The agenda of rows to give has 645 entries:
% 0.84/1.07 ; 1 with value (4 10) 3 with value (4 21) 1 with value (4 41)
% 0.84/1.07 ; 199 with value (4 11) 2 with value (4 22) 2 with value (4 42)
% 0.84/1.07 ; 10 with value (4 12) 2 with value (4 23) 1 with value (4 45)
% 0.84/1.07 ; 251 with value (4 13) 4 with value (4 24) 2 with value (4 46)
% 0.84/1.07 ; 34 with value (4 14) 1 with value (4 25) 2 with value (4 47)
% 0.84/1.07 ; 16 with value (4 15) 2 with value (4 26) 2 with value (4 48)
% 0.84/1.07 ; 54 with value (4 16) 3 with value (4 27) 1 with value (4 54)
% 0.84/1.07 ; 14 with value (4 17) 1 with value (4 28) 2 with value (4 55)
% 0.84/1.07 ; 10 with value (4 18) 6 with value (4 30) 1 with value (4 56)
% 0.84/1.07 ; 9 with value (4 19) 3 with value (4 32) 2 with value (4 57)
% 0.84/1.07 ; 1 with value (4 20) 3 with value (4 34)
% 0.84/1.07 Evaluation took:
% 0.84/1.07 0.601 seconds of real time
% 0.84/1.07 0.574357 seconds of user run time
% 0.84/1.07 0.026195 seconds of system run time
% 0.84/1.07 [Run times include 0.018 seconds GC run time.]
% 0.84/1.07 0 calls to %EVAL
% 0.84/1.07 0 page faults and
% 0.84/1.07 47,258,632 bytes consed.
% 0.84/1.07 :PROOF-FOUND
% 0.84/1.07 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T08:07:24
% 0.84/1.07 :PROOF-FOUND
% 0.84/1.07 *
%------------------------------------------------------------------------------