%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 18:00:13 EDT 2022
% Result : Theorem 0.49s 0.67s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of clauses : 36 ( 28 unt; 3 nHn; 36 RR)
% Number of literals : 85 ( 5 equ; 48 neg)
% Maximal clause size : 22 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(2,negated_conjecture,
v3_rlvect_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(3,negated_conjecture,
v4_rlvect_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(4,negated_conjecture,
v5_rlvect_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(5,negated_conjecture,
v6_rlvect_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(6,negated_conjecture,
v4_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(7,negated_conjecture,
v6_vectsp_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(8,negated_conjecture,
v7_vectsp_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(9,negated_conjecture,
v8_vectsp_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(10,negated_conjecture,
l3_vectsp_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(11,negated_conjecture,
~ v3_struct_0('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(12,negated_conjecture,
v3_rlvect_1('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(13,negated_conjecture,
v4_rlvect_1('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(14,negated_conjecture,
v5_rlvect_1('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(15,negated_conjecture,
v6_rlvect_1('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(16,negated_conjecture,
v5_vectsp_2('SKOLEMAAAV2','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(17,negated_conjecture,
l1_vectsp_2('SKOLEMAAAV2','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(18,negated_conjecture,
m1_subset_1('SKOLEMAAAV3',u1_struct_0('SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(19,negated_conjecture,
k1_rlvect_1('SKOLEMAAAV1') != k2_group_1('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(20,negated_conjecture,
( v1_rmod_5(k8_rlvect_2('SKOLEMAAAV2','SKOLEMAAAV3',k1_rlvect_1('SKOLEMAAAV2')),'SKOLEMAAAV1','SKOLEMAAAV2')
| v1_rmod_5(k8_rlvect_2('SKOLEMAAAV2',k1_rlvect_1('SKOLEMAAAV2'),'SKOLEMAAAV3'),'SKOLEMAAAV1','SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
cnf(49,axiom,
( ~ l1_rlvect_1(X)
| l2_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
cnf(50,axiom,
( ~ l2_struct_0(X)
| l1_struct_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).
cnf(69,axiom,
( ~ l2_struct_0(X)
| m1_subset_1(k1_rlvect_1(X),u1_struct_0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).
cnf(72,axiom,
( ~ l1_struct_0(X)
| ~ l1_vectsp_2(Y,X)
| l1_rlvect_1(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
cnf(73,axiom,
( ~ l3_vectsp_1(X)
| l1_rlvect_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
cnf(75,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,u1_struct_0(Y))
| ~ m1_subset_1(U,u1_struct_0(Y))
| ~ v1_rmod_5(k8_rlvect_2(Y,Z,U),X,Y)
| k1_rlvect_1(X) = k2_group_1(X)
| Z != k1_rlvect_1(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_rmod_5) ).
cnf(76,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,u1_struct_0(Y))
| ~ m1_subset_1(U,u1_struct_0(Y))
| ~ v1_rmod_5(k8_rlvect_2(Y,Z,U),X,Y)
| k1_rlvect_1(X) = k2_group_1(X)
| U != k1_rlvect_1(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_rmod_5) ).
cnf(85,plain,
l1_rlvect_1('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[73,10]) ).
cnf(163,plain,
l2_struct_0('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[49,85]) ).
cnf(190,plain,
l1_struct_0('SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[50,163]) ).
cnf(213,plain,
l1_rlvect_1('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[72,190,17]) ).
cnf(244,plain,
l2_struct_0('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[49,213]) ).
cnf(283,plain,
m1_subset_1(k1_rlvect_1('SKOLEMAAAV2'),u1_struct_0('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[69,244]) ).
cnf(1029,plain,
~ v1_rmod_5(k8_rlvect_2('SKOLEMAAAV2',k1_rlvect_1('SKOLEMAAAV2'),'SKOLEMAAAV3'),'SKOLEMAAAV1','SKOLEMAAAV2'),
inference('UR-RESOLVE',[status(thm)],[75,283,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,theory(equality)]) ).
cnf(1030,plain,
v1_rmod_5(k8_rlvect_2('SKOLEMAAAV2','SKOLEMAAAV3',k1_rlvect_1('SKOLEMAAAV2')),'SKOLEMAAAV1','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[20,1029]) ).
cnf(1031,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[76,283,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,theory(equality)]),1030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 : Thu Jun 9 06:24:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T06:24:32
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-09T06:24:32
% 0.18/0.48
% 0.18/0.49 ; Recognized commutativity assertion (= (|k2_tarski| ?X ?Y) (|k2_tarski| ?Y ?X)).
% 0.18/0.49 WARNING:
% 0.18/0.49 |v1_finset_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.49/0.67 ; Declaring k2_tarski to be commutative.
% 0.49/0.67
% 0.49/0.67 #||
% 0.49/0.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.67 % SZS output start Refutation
% See solution above
% 0.49/0.68 ||#
% 0.49/0.68
% 0.49/0.68 ; Summary of computation:
% 0.49/0.68 ; 2090 formulas have been input or derived (from 383 formulas).
% 0.49/0.68 ; 1031 (49%) were retained. Of these,
% 0.49/0.68 ; 53 ( 5%) were simplified or subsumed later,
% 0.49/0.68 ; 978 (95%) are still being kept.
% 0.49/0.68 ;
% 0.49/0.68 ; Run time in seconds excluding printing time:
% 0.49/0.68 ; 0.010 5% Read assertion file (1 call)
% 0.49/0.68 ; 0.003 1% Assert (53 calls)
% 0.49/0.68 ; 0.067 32% Process new row (1,708 calls)
% 0.49/0.68 ; 0.061 29% Resolution (764 calls)
% 0.49/0.68 ; 0.002 1% Paramodulation (382 calls)
% 0.49/0.68 ; 0.000 0% Factoring (12 calls)
% 0.49/0.68 ; 0.000 0% Condensing (195 calls)
% 0.49/0.68 ; 0.005 2% Forward subsumption (195 calls)
% 0.49/0.68 ; 0.006 3% Backward subsumption (182 calls)
% 0.49/0.68 ; 0.000 0% Clause clause subsumption (49 calls)
% 0.49/0.68 ; 0.016 8% Forward simplification (1,695 calls)
% 0.49/0.68 ; 0.011 5% Backward simplification (1,031 calls)
% 0.49/0.68 ; 0.002 1% Ordering (196 calls)
% 0.49/0.68 ; 0.001 0% Sortal reasoning (32 calls)
% 0.49/0.68 ; 0.001 0% Purity testing (1 call)
% 0.49/0.68 ; 0.027 13% Other
% 0.49/0.68 ; 0.212 Total
% 0.49/0.68 ; 0.215 Real time
% 0.49/0.68 ;
% 0.49/0.68 ; Term-hash-array has 1,628 terms in all.
% 0.49/0.68 ; Feature-vector-row-index has 180 entries (181 at peak, 182 added, 2 deleted).
% 0.49/0.68 ; Feature-vector-row-index has 1,146 nodes (1,160 at peak, 1,166 added, 20 deleted).
% 0.49/0.68 ; Retrieved 54 possibly forward subsuming rows in 195 calls.
% 0.49/0.68 ; Retrieved 30 possibly backward subsumed rows in 182 calls.
% 0.49/0.68 ; Path-index has 1,592 entries (1,592 at peak, 1,646 added, 54 deleted).
% 0.49/0.68 ; Path-index has 2,482 nodes (2,482 at peak, 2,580 added, 98 deleted).
% 0.49/0.68 ; Trie-index has 1,592 entries (1,592 at peak, 1,646 added, 54 deleted).
% 0.49/0.68 ; Trie-index has 5,333 nodes (5,333 at peak, 5,759 added, 426 deleted).
% 0.49/0.68 ; Retrieved 1,319 generalization terms in 3,039 calls.
% 0.49/0.68 ; Retrieved 869 instance terms in 848 calls.
% 0.49/0.68 ; Retrieved 29,512 unifiable terms in 18,962 calls.
% 0.49/0.68 ;
% 0.49/0.68 ; The agenda of rows to process has 36 entries:
% 0.49/0.68 ; 4 with value 19 5 with value 23 2 with value 28
% 0.49/0.68 ; 4 with value 20 1 with value 24 1 with value 29
% 0.49/0.68 ; 3 with value 21 6 with value 25 2 with value 31
% 0.49/0.68 ; 6 with value 22 2 with value 26
% 0.49/0.68 ; The agenda of input rows to give has 1 entry:
% 0.49/0.68 ; 1 with value 11
% 0.49/0.68 ; The agenda of rows to give has 600 entries:
% 0.49/0.68 ; 63 with value (4 13) 15 with value (4 21) 6 with value (4 32)
% 0.49/0.68 ; 68 with value (4 14) 23 with value (4 22) 6 with value (4 33)
% 0.49/0.68 ; 85 with value (4 15) 24 with value (4 23) 4 with value (4 34)
% 0.49/0.68 ; 56 with value (4 16) 26 with value (4 24) 2 with value (4 36)
% 0.49/0.68 ; 42 with value (4 17) 16 with value (4 25) 3 with value (4 37)
% 0.49/0.68 ; 55 with value (4 18) 8 with value (4 26) 3 with value (4 38)
% 0.49/0.68 ; 54 with value (4 19) 4 with value (4 27) 2 with value (4 39)
% 0.49/0.68 ; 31 with value (4 20) 4 with value (4 31)
% 0.49/0.68 Evaluation took:
% 0.49/0.68 0.215 seconds of real time
% 0.49/0.68 0.198434 seconds of user run time
% 0.49/0.68 0.01719 seconds of system run time
% 0.49/0.68 [Run times include 0.012 seconds GC run time.]
% 0.49/0.68 0 calls to %EVAL
% 0.49/0.68 0 page faults and
% 0.49/0.68 16,014,368 bytes consed.
% 0.49/0.68 :PROOF-FOUND
% 0.49/0.68 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T06:24:32
% 0.49/0.68 :PROOF-FOUND
% 0.49/0.68 *
%------------------------------------------------------------------------------