%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG215+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Thu Jul 14 18:00:12 EDT 2022
% Result : Theorem 17.68s 17.87s
% Output : Refutation 17.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 28
% Syntax : Number of clauses : 40 ( 33 unt; 5 nHn; 34 RR)
% Number of literals : 137 ( 9 equ; 92 neg)
% Maximal clause size : 21 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(2,negated_conjecture,
v3_rlvect_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(3,negated_conjecture,
v4_rlvect_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(4,negated_conjecture,
v5_rlvect_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(5,negated_conjecture,
v6_rlvect_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(6,negated_conjecture,
v4_group_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(7,negated_conjecture,
v6_vectsp_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(8,negated_conjecture,
v7_vectsp_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(9,negated_conjecture,
v8_vectsp_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(10,negated_conjecture,
l3_vectsp_1('SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(11,negated_conjecture,
~ v3_struct_0('SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(12,negated_conjecture,
v3_rlvect_1('SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(13,negated_conjecture,
v4_rlvect_1('SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(14,negated_conjecture,
v5_rlvect_1('SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(15,negated_conjecture,
v6_rlvect_1('SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(16,negated_conjecture,
v5_vectsp_2('SKOLEMAAAW2','SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(17,negated_conjecture,
l1_vectsp_2('SKOLEMAAAW2','SKOLEMAAAW1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(18,negated_conjecture,
~ v1_rmod_5(k1_subset_1(u1_struct_0('SKOLEMAAAW2')),'SKOLEMAAAW1','SKOLEMAAAW2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
cnf(21,axiom,
( v3_struct_0(X)
| ~ v3_rlvect_1(X)
| ~ v4_rlvect_1(X)
| ~ v5_rlvect_1(X)
| ~ v6_rlvect_1(X)
| ~ v4_group_1(X)
| ~ v6_vectsp_1(X)
| ~ v7_vectsp_1(X)
| ~ v8_vectsp_1(X)
| ~ l3_vectsp_1(X)
| v3_struct_0(Y)
| ~ v3_rlvect_1(Y)
| ~ v4_rlvect_1(Y)
| ~ v5_rlvect_1(Y)
| ~ v6_rlvect_1(Y)
| ~ v5_vectsp_2(Y,X)
| ~ l1_vectsp_2(Y,X)
| ~ m1_subset_1(Z,k1_zfmisc_1(u1_struct_0(Y)))
| v1_rmod_5(Z,X,Y)
| m2_rmod_4('SKOLEMAAAW3'(X,Y,Z),X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_rmod_5) ).
cnf(23,axiom,
( v3_struct_0(X)
| ~ v3_rlvect_1(X)
| ~ v4_rlvect_1(X)
| ~ v5_rlvect_1(X)
| ~ v6_rlvect_1(X)
| ~ v4_group_1(X)
| ~ v6_vectsp_1(X)
| ~ v7_vectsp_1(X)
| ~ v8_vectsp_1(X)
| ~ l3_vectsp_1(X)
| v3_struct_0(Y)
| ~ v3_rlvect_1(Y)
| ~ v4_rlvect_1(Y)
| ~ v5_rlvect_1(Y)
| ~ v6_rlvect_1(Y)
| ~ v5_vectsp_2(Y,X)
| ~ l1_vectsp_2(Y,X)
| ~ m1_subset_1(Z,k1_zfmisc_1(u1_struct_0(Y)))
| v1_rmod_5(Z,X,Y)
| k2_rmod_4(X,Y,'SKOLEMAAAW3'(X,Y,Z)) != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_rmod_5) ).
cnf(24,axiom,
( v3_struct_0(X)
| ~ v3_rlvect_1(X)
| ~ v4_rlvect_1(X)
| ~ v5_rlvect_1(X)
| ~ v6_rlvect_1(X)
| ~ v4_group_1(X)
| ~ v6_vectsp_1(X)
| ~ v7_vectsp_1(X)
| ~ v8_vectsp_1(X)
| ~ l3_vectsp_1(X)
| v3_struct_0(Y)
| ~ v3_rlvect_1(Y)
| ~ v4_rlvect_1(Y)
| ~ v5_rlvect_1(Y)
| ~ v6_rlvect_1(Y)
| ~ v5_vectsp_2(Y,X)
| ~ l1_vectsp_2(Y,X)
| ~ m1_rmod_4(Z,X,Y)
| k2_rmod_4(X,Y,Z) = a_3_0_rmod_4(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_rmod_4) ).
cnf(25,axiom,
( v3_struct_0(X)
| ~ v3_rlvect_1(X)
| ~ v4_rlvect_1(X)
| ~ v5_rlvect_1(X)
| ~ v6_rlvect_1(X)
| ~ v4_group_1(X)
| ~ v6_vectsp_1(X)
| ~ v7_vectsp_1(X)
| ~ v8_vectsp_1(X)
| ~ l3_vectsp_1(X)
| v3_struct_0(Y)
| ~ v3_rlvect_1(Y)
| ~ v4_rlvect_1(Y)
| ~ v5_rlvect_1(Y)
| ~ v6_rlvect_1(Y)
| ~ v5_vectsp_2(Y,X)
| ~ l1_vectsp_2(Y,X)
| ~ m1_subset_1(Z,k1_zfmisc_1(u1_struct_0(Y)))
| ~ m1_rmod_4(U,X,Y)
| ~ m2_rmod_4(U,X,Y,Z)
| r1_tarski(k2_rmod_4(X,Y,U),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_rmod_4) ).
cnf(29,axiom,
v1_xboole_0(k1_subset_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_subset_1) ).
cnf(49,axiom,
( v3_struct_0(X)
| ~ v3_rlvect_1(X)
| ~ v4_rlvect_1(X)
| ~ v5_rlvect_1(X)
| ~ v6_rlvect_1(X)
| ~ v4_group_1(X)
| ~ v6_vectsp_1(X)
| ~ v7_vectsp_1(X)
| ~ v8_vectsp_1(X)
| ~ l3_vectsp_1(X)
| v3_struct_0(Y)
| ~ v3_rlvect_1(Y)
| ~ v4_rlvect_1(Y)
| ~ v5_rlvect_1(Y)
| ~ v6_rlvect_1(Y)
| ~ v5_vectsp_2(Y,X)
| ~ l1_vectsp_2(Y,X)
| ~ m1_subset_1(Z,k1_zfmisc_1(u1_struct_0(Y)))
| ~ m2_rmod_4(U,X,Y,Z)
| m1_rmod_4(U,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_rmod_4) ).
cnf(78,axiom,
m1_subset_1('SKOLEMAAAW23'(X),k1_zfmisc_1(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(79,axiom,
v1_xboole_0('SKOLEMAAAW23'(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(102,axiom,
( ~ r1_tarski(X,k1_xboole_0)
| X = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
cnf(105,axiom,
( ~ v1_xboole_0(X)
| X = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
cnf(120,plain,
'SKOLEMAAAW23'(X) = k1_xboole_0,
inference('HYPERRESOLVE',[status(thm)],[105,79]) ).
cnf(121,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X)),
inference('REWRITE',[status(thm)],[78,120,theory(equality)]) ).
cnf(122,plain,
k1_subset_1(X) = k1_xboole_0,
inference('HYPERRESOLVE',[status(thm)],[105,29]) ).
cnf(123,plain,
~ v1_rmod_5(k1_xboole_0,'SKOLEMAAAW1','SKOLEMAAAW2'),
inference('REWRITE',[status(thm)],[18,122,theory(equality)]) ).
cnf(205,plain,
m2_rmod_4('SKOLEMAAAW3'('SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0),'SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0),
inference('UR-RESOLVE',[status(thm)],[21,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,121,123]) ).
cnf(208,plain,
k2_rmod_4('SKOLEMAAAW1','SKOLEMAAAW2','SKOLEMAAAW3'('SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0)) != k1_xboole_0,
inference('UR-RESOLVE',[status(thm)],[23,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,121,123]) ).
cnf(2178,plain,
m1_rmod_4('SKOLEMAAAW3'('SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0),'SKOLEMAAAW1','SKOLEMAAAW2'),
inference('UR-RESOLVE',[status(thm)],[49,205,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,121]) ).
cnf(6557,plain,
r1_tarski(k2_rmod_4('SKOLEMAAAW1','SKOLEMAAAW2','SKOLEMAAAW3'('SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0)),k1_xboole_0),
inference('UR-RESOLVE',[status(thm)],[25,2178,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,121,205]) ).
cnf(6560,plain,
k2_rmod_4('SKOLEMAAAW1','SKOLEMAAAW2','SKOLEMAAAW3'('SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0)) = a_3_0_rmod_4('SKOLEMAAAW1','SKOLEMAAAW2','SKOLEMAAAW3'('SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0)),
inference('UR-RESOLVE',[status(thm)],[24,2178,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]) ).
cnf(6561,plain,
a_3_0_rmod_4('SKOLEMAAAW1','SKOLEMAAAW2','SKOLEMAAAW3'('SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0)) != k1_xboole_0,
inference('REWRITE',[status(thm)],[208,6560,theory(equality)]) ).
cnf(6562,plain,
r1_tarski(a_3_0_rmod_4('SKOLEMAAAW1','SKOLEMAAAW2','SKOLEMAAAW3'('SKOLEMAAAW1','SKOLEMAAAW2',k1_xboole_0)),k1_xboole_0),
inference('REWRITE',[status(thm)],[6557,6560,theory(equality)]) ).
cnf(61428,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[102,6561]),6562]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG215+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 07:19:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T07:19:04
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-09T07:19:04
% 0.34/0.53 WARNING:
% 0.34/0.53 |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.34/0.53 WARNING:
% 0.34/0.53 |v1_finset_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.34/0.53 WARNING:
% 0.34/0.53 |v1_fraenkel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 17.68/17.87
% 17.68/17.87
% 17.68/17.87 #||
% 17.68/17.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.68/17.87 % SZS output start Refutation
% See solution above
% 17.68/17.88 ||#
% 17.68/17.88
% 17.68/17.88 ; Summary of computation:
% 17.68/17.88 ; 63226 formulas have been input or derived (from 660 formulas).
% 17.68/17.88 ; 61428 (97%) were retained. Of these,
% 17.68/17.88 ; 24 ( 0%) were simplified or subsumed later,
% 17.68/17.88 ; 61404 (100%) are still being kept.
% 17.68/17.88 ;
% 17.68/17.88 ; Run time in seconds excluding printing time:
% 17.68/17.88 ; 0.021 0% Read assertion file (1 call)
% 17.68/17.88 ; 0.009 0% Assert (77 calls)
% 17.73/17.92 ; 6.033 35% Process new row (62,852 calls)
% 17.73/17.92 ; 7.092 41% Resolution (1,318 calls)
% 17.73/17.92 ; 0.041 0% Paramodulation (659 calls)
% 17.73/17.92 ; 0.000 0% Factoring (13 calls)
% 17.73/17.92 ; 0.002 0% Condensing (381 calls)
% 17.73/17.92 ; 0.011 0% Forward subsumption (381 calls)
% 17.73/17.92 ; 0.009 0% Backward subsumption (334 calls)
% 17.73/17.92 ; 0.000 0% Clause clause subsumption (425 calls)
% 17.73/17.92 ; 0.800 5% Forward simplification (62,845 calls)
% 17.73/17.92 ; 2.908 17% Backward simplification (61,428 calls)
% 17.73/17.92 ; 0.004 0% Ordering (856 calls)
% 17.73/17.92 ; 0.000 0% Sortal reasoning (32 calls)
% 17.73/17.92 ; 0.001 0% Purity testing (1 call)
% 17.73/17.92 ; 0.451 3% Other
% 17.73/17.92 ; 17.382 Total
% 17.73/17.92 ; 17.431 Real time
% 17.73/17.93 ;
% 17.73/17.93 ; Term-hash-array has 122,577 terms in all.
% 17.73/17.93 ; Feature-vector-row-index has 327 entries (329 at peak, 334 added, 7 deleted).
% 17.73/17.93 ; Feature-vector-row-index has 1,541 nodes (1,555 at peak, 1,609 added, 68 deleted).
% 17.73/17.93 ; Retrieved 613 possibly forward subsuming rows in 381 calls.
% 17.73/17.93 ; Retrieved 192 possibly backward subsumed rows in 334 calls.
% 17.73/17.93 ; Path-index has 122,568 entries (122,568 at peak, 122,604 added, 36 deleted).
% 17.73/17.93 ; Path-index has 10,791 nodes (10,791 at peak, 10,859 added, 68 deleted).
% 17.73/17.93 ; Trie-index has 122,568 entries (122,568 at peak, 122,604 added, 36 deleted).
% 17.73/17.93 ; Trie-index has 262,206 nodes (262,208 at peak, 262,392 added, 186 deleted).
% 17.73/17.93 ; Retrieved 2,615 generalization terms in 65,218 calls.
% 17.73/17.93 ; Retrieved 61,112 instance terms in 61,093 calls.
% 17.73/17.93 ; Retrieved 10,612,146 unifiable terms in 175,291 calls.
% 17.73/17.93 ;
% 17.73/17.93 ; The agenda of rows to process has 4 entries:
% 17.73/17.93 ; 4 with value 23
% 17.73/17.93 ; The agenda of rows to give has 60749 entries:
% 17.73/17.93 ; 31 with value (4 13) 67 with value (4 25) 49 with value (4 37)
% 17.73/17.93 ; 317 with value (4 14) 22 with value (4 26) 20 with value (4 38)
% 17.73/17.93 ; 571 with value (4 15) 36 with value (4 27) 4 with value (4 39)
% 17.73/17.93 ; 1278 with value (4 16) 40 with value (4 28) 20 with value (4 40)
% 17.73/17.93 ; 2734 with value (4 17) 10 with value (4 29) 45 with value (4 41)
% 17.73/17.93 ; 5069 with value (4 18) 45 with value (4 30) 1 with value (4 43)
% 17.73/17.93 ; 7791 with value (4 19) 62 with value (4 31) 4 with value (4 44)
% 17.73/17.93 ; 12809 with value (4 20) 41 with value (4 32) 2 with value (4 46)
% 17.73/17.93 ; 16551 with value (4 21) 38 with value (4 33) 2 with value (4 49)
% 17.73/17.93 ; 10569 with value (4 22) 59 with value (4 34) 4 with value (4 54)
% 17.73/17.93 ; 2285 with value (4 23) 21 with value (4 35) 2 with value (4 55)
% 17.73/17.93 ; 112 with value (4 24) 34 with value (4 36) 4 with value (4 61)
% 17.73/17.93 Evaluation took:
% 17.73/17.93 17.437 seconds of real time
% 17.73/17.93 16.597918 seconds of user run time
% 17.73/17.93 0.837069 seconds of system run time
% 17.73/17.93 [Run times include 3.621 seconds GC run time.]
% 17.73/17.93 0 calls to %EVAL
% 17.73/17.93 0 page faults and
% 17.73/17.93 680,112,456 bytes consed.
% 17.73/17.93 :PROOF-FOUND
% 17.73/17.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T07:19:22
% 17.73/17.93 :PROOF-FOUND
% 17.73/17.93 *
%------------------------------------------------------------------------------