TSTP Solution File: LAT276-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 : Sun Jul 17 06:43:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 10 unt; 9 nHn; 29 RR)
% Number of literals : 58 ( 2 equ; 24 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_10,negated_conjecture,
( c_in(c_Pair(X,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_9,negated_conjecture,
( c_in(c_Pair(X,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X,v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_lessequals(Y,U,tc_set(Z))
| c_in(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( ~ c_in(X,v_A,t_a)
| ~ c_lessequals(Y,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(Y,v_cl,t_a),X,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X,Y,v_r),Y,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,axiom,
( ~ c_in(X,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mP(X,Y,v_r),X,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(Y,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(Y,v_cl,t_a),X,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( ~ c_in(X,Y,t_a)
| ~ c_lessequals(Y,v_A,tc_set(t_a))
| c_in(c_Pair(X,c_Tarski_Olub(Y,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
cnf(13,plain,
( c_in(c_Pair(X,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference('REWRITE',[status(thm)],[cls_conjecture_10,cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).
cnf(14,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).
cnf(15,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference('REWRITE',[status(thm)],[cls_conjecture_6,cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).
cnf(16,plain,
( c_in(c_Pair(X,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X,v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference('REWRITE',[status(thm)],[cls_conjecture_9,cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).
cnf(17,plain,
( c_in(v_xa,v_A,t_a)
| c_in(v_xa,v_S,t_a) ),
inference('REWRITE',[status(thm)],[cls_conjecture_3,cls_Tarski_OA_A_61_61_Apset_Acl_0,theory(equality)]) ).
cnf(18,plain,
c_in(v_xa,v_A,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OsubsetD_0,17,cls_conjecture_0]) ).
cnf(19,plain,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,18,cls_conjecture_0]) ).
cnf(20,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference('HYPERRESOLVE',[status(thm)],[14,19]) ).
cnf(22,plain,
( c_in(v_xa,v_S,t_a)
| c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[16,20]) ).
cnf(25,plain,
( c_in(v_xa,v_S,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,22,18,cls_conjecture_0]) ).
cnf(26,plain,
c_in(v_xa,v_S,t_a),
inference('HYPERRESOLVE',[status(thm)],[14,25]) ).
cnf(27,plain,
c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0,26,cls_conjecture_0]) ).
cnf(28,plain,
( c_in(c_Pair(X,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X,v_S,t_a) ),
inference('REWRITE',[status(thm)],[13,27]) ).
cnf(29,plain,
~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('REWRITE',[status(thm)],[15,27]) ).
cnf(30,plain,
c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a),
inference('REWRITE',[status(thm)],[19,29]) ).
cnf(31,plain,
~ c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,29,18,cls_conjecture_0]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,30]),31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n005.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 : Wed Jun 29 15:18:07 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 2022-06-29T15:18:08
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-29T15:18:08
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 46 formulas have been input or derived (from 24 formulas).
% 0.18/0.50 ; 35 (76%) were retained. Of these,
% 0.18/0.50 ; 17 (49%) were simplified or subsumed later,
% 0.18/0.50 ; 18 (51%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.004 10% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 3% Assert (12 calls)
% 0.18/0.50 ; 0.006 15% Process new row (39 calls)
% 0.18/0.50 ; 0.002 5% Resolution (46 calls)
% 0.18/0.50 ; 0.001 3% Paramodulation (23 calls)
% 0.18/0.50 ; 0.000 0% Factoring (6 calls)
% 0.18/0.50 ; 0.000 0% Condensing (22 calls)
% 0.18/0.50 ; 0.001 3% Forward subsumption (22 calls)
% 0.18/0.50 ; 0.002 5% Backward subsumption (22 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.18/0.50 ; 0.000 0% Forward simplification (39 calls)
% 0.18/0.50 ; 0.001 3% Backward simplification (35 calls)
% 0.18/0.50 ; 0.000 0% Ordering (20 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.021 54% Other
% 0.18/0.50 ; 0.039 Total
% 0.18/0.50 ; 0.044 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 51 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 5 entries (15 at peak, 22 added, 17 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 77 nodes (260 at peak, 392 added, 315 deleted).
% 0.18/0.50 ; Retrieved 9 possibly forward subsuming rows in 22 calls.
% 0.18/0.50 ; Retrieved 4 possibly backward subsumed rows in 22 calls.
% 0.18/0.50 ; Path-index has 48 entries (51 at peak, 73 added, 25 deleted).
% 0.18/0.50 ; Path-index has 204 nodes (209 at peak, 242 added, 38 deleted).
% 0.18/0.50 ; Trie-index has 48 entries (51 at peak, 73 added, 25 deleted).
% 0.18/0.50 ; Trie-index has 218 nodes (248 at peak, 369 added, 151 deleted).
% 0.18/0.50 ; Retrieved 3 generalization terms in 32 calls.
% 0.18/0.50 ; Retrieved 12 instance terms in 12 calls.
% 0.18/0.50 ; Retrieved 292 unifiable terms in 252 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 1 entry:
% 0.18/0.50 ; 1 with value 22
% 0.18/0.50 ; The agenda of rows to give has 4 entries:
% 0.18/0.50 ; 1 with value (4 12) 1 with value (4 19) 1 with value (4 23)
% 0.18/0.50 ; 1 with value (4 18)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.045 seconds of real time
% 0.18/0.50 0.038587 seconds of user run time
% 0.18/0.50 0.006005 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 4,848,232 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T15:18:08
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------