TSTP Solution File: TOP024+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : TOP024+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 21 21:34:23 EDT 2022
% Result : Theorem 1.28s 1.50s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 26 ( 17 unt; 2 nHn; 24 RR)
% Number of literals : 48 ( 12 equ; 24 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
cnf(2,negated_conjecture,
v2_pre_topc('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
cnf(3,negated_conjecture,
l1_pre_topc('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
cnf(4,negated_conjecture,
m1_subset_1('SKOLEMAAAV2',k1_zfmisc_1(u1_struct_0('SKOLEMAAAV1'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
cnf(5,negated_conjecture,
v1_tsp_2('SKOLEMAAAV2','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
cnf(6,negated_conjecture,
~ v1_tops_1('SKOLEMAAAV2','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
cnf(46,axiom,
( ~ l1_pre_topc(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| v1_tops_1(Y,X)
| k6_pre_topc(X,Y) != u1_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tops_3) ).
cnf(48,axiom,
( v3_struct_0(X)
| ~ v2_pre_topc(X)
| ~ l1_pre_topc(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| ~ v1_tsp_2(Y,X)
| k3_tex_4(X,Y) = u1_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).
cnf(53,axiom,
( ~ l1_pre_topc(X)
| l1_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
cnf(61,axiom,
( ~ v2_pre_topc(X)
| ~ l1_pre_topc(X)
| v4_pre_topc(k2_pre_topc(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_pre_topc) ).
cnf(117,axiom,
r1_tarski(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(118,axiom,
( ~ l1_struct_0(X)
| k2_pre_topc(X) = u1_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).
cnf(122,axiom,
( m1_subset_1(X,k1_zfmisc_1(Y))
| ~ r1_tarski(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
cnf(124,axiom,
( ~ l1_pre_topc(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| ~ v4_pre_topc(Y,X)
| k6_pre_topc(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_pre_topc) ).
cnf(127,axiom,
( v3_struct_0(X)
| ~ v2_pre_topc(X)
| ~ l1_pre_topc(X)
| ~ m1_subset_1(Y,k1_zfmisc_1(u1_struct_0(X)))
| k6_pre_topc(X,k3_tex_4(X,Y)) = k6_pre_topc(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_tex_4) ).
cnf(137,plain,
l1_struct_0('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[53,3]) ).
cnf(167,plain,
m1_subset_1(X,k1_zfmisc_1(X)),
inference('HYPERRESOLVE',[status(thm)],[122,117]) ).
cnf(197,plain,
v4_pre_topc(k2_pre_topc('SKOLEMAAAV1'),'SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[61,2,3]) ).
cnf(239,plain,
k6_pre_topc('SKOLEMAAAV1','SKOLEMAAAV2') != u1_struct_0('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[46,3,4,6]) ).
cnf(248,plain,
k3_tex_4('SKOLEMAAAV1','SKOLEMAAAV2') = u1_struct_0('SKOLEMAAAV1'),
inference('UR-RESOLVE',[status(thm)],[48,1,2,3,4,5]) ).
cnf(249,plain,
k6_pre_topc('SKOLEMAAAV1',u1_struct_0('SKOLEMAAAV1')) = k6_pre_topc('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[127,1,2,3,4]),248,theory(equality)]) ).
cnf(269,plain,
k2_pre_topc('SKOLEMAAAV1') = u1_struct_0('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[118,137]) ).
cnf(284,plain,
k6_pre_topc('SKOLEMAAAV1','SKOLEMAAAV2') != k2_pre_topc('SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[239,269,theory(equality)]) ).
cnf(288,plain,
k6_pre_topc('SKOLEMAAAV1',k2_pre_topc('SKOLEMAAAV1')) = k6_pre_topc('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[249,269,theory(equality)]) ).
cnf(450,plain,
( ~ m1_subset_1(X,k1_zfmisc_1(k2_pre_topc('SKOLEMAAAV1')))
| ~ v4_pre_topc(X,'SKOLEMAAAV1')
| k6_pre_topc('SKOLEMAAAV1',X) = X ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[124,269,theory(equality)]),3]) ).
cnf(4627,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[450,167,197]),284,288,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : TOP024+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n023.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 : Sun May 29 05:28:27 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 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T05:28:27
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-29T05:28:27
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52 WARNING:
% 0.20/0.52 |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.28/1.50
% 1.28/1.50
% 1.28/1.50 #||
% 1.28/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.28/1.50 % SZS output start Refutation
% See solution above
% 1.28/1.51 ||#
% 1.28/1.51
% 1.28/1.51 ; Summary of computation:
% 1.28/1.51 ; 17575 formulas have been input or derived (from 1874 formulas).
% 1.28/1.51 ; 4627 (26%) were retained. Of these,
% 1.28/1.51 ; 298 ( 6%) were simplified or subsumed later,
% 1.28/1.51 ; 4329 (94%) are still being kept.
% 1.28/1.51 ;
% 1.28/1.51 ; Run time in seconds excluding printing time:
% 1.28/1.51 ; 0.017 2% Read assertion file (1 call)
% 1.28/1.51 ; 0.005 0% Assert (69 calls)
% 1.28/1.51 ; 0.288 28% Process new row (15,497 calls)
% 1.28/1.51 ; 0.256 25% Resolution (3,746 calls)
% 1.28/1.51 ; 0.057 6% Paramodulation (1,873 calls)
% 1.28/1.51 ; 0.000 0% Factoring (57 calls)
% 1.28/1.51 ; 0.003 0% Condensing (1,664 calls)
% 1.28/1.51 ; 0.087 9% Forward subsumption (1,664 calls)
% 1.28/1.51 ; 0.018 2% Backward subsumption (832 calls)
% 1.28/1.51 ; 0.001 0% Clause clause subsumption (1,880 calls)
% 1.28/1.51 ; 0.159 16% Forward simplification (15,316 calls)
% 1.28/1.51 ; 0.038 4% Backward simplification (4,627 calls)
% 1.28/1.51 ; 0.001 0% Ordering (1,814 calls)
% 1.28/1.51 ; 0.000 0% Sortal reasoning (32 calls)
% 1.28/1.51 ; 0.001 0% Purity testing (1 call)
% 1.28/1.51 ; 0.089 9% Other
% 1.28/1.51 ; 1.020 Total
% 1.28/1.51 ; 1.022 Real time
% 1.28/1.51 ;
% 1.28/1.51 ; Term-hash-array has 6,418 terms in all.
% 1.28/1.51 ; Feature-vector-row-index has 790 entries (814 at peak, 832 added, 42 deleted).
% 1.28/1.51 ; Feature-vector-row-index has 4,456 nodes (4,544 at peak, 4,706 added, 250 deleted).
% 1.28/1.51 ; Retrieved 2,837 possibly forward subsuming rows in 1,664 calls.
% 1.28/1.51 ; Retrieved 384 possibly backward subsumed rows in 832 calls.
% 1.28/1.51 ; Path-index has 6,000 entries (6,213 at peak, 6,446 added, 446 deleted).
% 1.28/1.51 ; Path-index has 10,442 nodes (10,633 at peak, 10,877 added, 435 deleted).
% 1.28/1.51 ; Trie-index has 6,000 entries (6,213 at peak, 6,446 added, 446 deleted).
% 1.28/1.51 ; Trie-index has 17,880 nodes (18,452 at peak, 19,024 added, 1,144 deleted).
% 1.28/1.51 ; Retrieved 15,487 generalization terms in 29,855 calls.
% 1.28/1.51 ; Retrieved 3,964 instance terms in 3,794 calls.
% 1.28/1.51 ; Retrieved 127,637 unifiable terms in 40,737 calls.
% 1.28/1.51 ;
% 1.28/1.51 ; The agenda of rows to process has 57 entries:
% 1.28/1.51 ; 5 with value 14 4 with value 22 24 with value 26
% 1.28/1.51 ; 1 with value 16 1 with value 25 10 with value 28
% 1.28/1.51 ; 12 with value 20
% 1.28/1.51 ; The agenda of rows to give has 2550 entries:
% 1.28/1.51 ; 4 with value (4 14) 27 with value (4 33) 16 with value (4 44)
% 1.28/1.51 ; 257 with value (4 22) 40 with value (4 34) 10 with value (4 45)
% 1.28/1.51 ; 299 with value (4 23) 14 with value (4 35) 8 with value (4 46)
% 1.28/1.51 ; 247 with value (4 24) 32 with value (4 36) 22 with value (4 47)
% 1.28/1.51 ; 256 with value (4 25) 30 with value (4 37) 18 with value (4 48)
% 1.28/1.51 ; 181 with value (4 26) 6 with value (4 38) 21 with value (4 49)
% 1.28/1.51 ; 220 with value (4 27) 16 with value (4 39) 13 with value (4 50)
% 1.28/1.51 ; 181 with value (4 28) 21 with value (4 40) 16 with value (4 51)
% 1.28/1.51 ; 131 with value (4 29) 31 with value (4 41) 8 with value (4 52)
% 1.28/1.51 ; 141 with value (4 30) 7 with value (4 42) 27 with value (4 53)
% 1.28/1.51 ; 128 with value (4 31) 6 with value (4 43) 3 with value (4 54)
% 1.28/1.51 ; 113 with value (4 32)
% 1.28/1.51 Evaluation took:
% 1.28/1.51 1.023 seconds of real time
% 1.28/1.51 0.922611 seconds of user run time
% 1.28/1.51 0.099969 seconds of system run time
% 1.28/1.51 [Run times include 0.126 seconds GC run time.]
% 1.28/1.51 0 calls to %EVAL
% 1.28/1.51 0 page faults and
% 1.28/1.51 82,669,776 bytes consed.
% 1.28/1.51 :PROOF-FOUND
% 1.28/1.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T05:28:28
% 1.28/1.51 :PROOF-FOUND
% 1.28/1.51 *
%------------------------------------------------------------------------------