TSTP Solution File: ANA025-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 19:26:48 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 13 unt; 1 nHn; 18 RR)
% Number of literals : 37 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_lessequals(c_0,c_HOL_Oabs(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( ~ class_Orderings_Olinorder(X)
| c_less(Y,Z,X)
| c_lessequals(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
( ~ class_Orderings_Olinorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Z,X)
| c_lessequals(c_Orderings_Omax(U,Y,X),Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Y,X)
| c_lessequals(U,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_less(Y,Z,X)
| c_lessequals(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
( ~ class_LOrder_Ojoin__semilorder(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| class_LOrder_Ojoin__semilorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Olinorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Olordered__ab__group__abs(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(13,plain,
class_Orderings_Olinorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(14,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(16,plain,
c_less(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Olinorder__not__le_0,13,cls_conjecture_2]) ).
cnf(18,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_15,14]) ).
cnf(19,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,14]) ).
cnf(20,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_LOrder_Ojoin__semilorder_1,18]) ).
cnf(26,plain,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,19,13,cls_conjecture_3]) ).
cnf(33,plain,
c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,16,20]) ).
cnf(42,plain,
c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,33,20,19]) ).
cnf(43,plain,
$false,
inference('REWRITE',[status(thm)],[26,42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 06:34:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T06:34:30
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-08T06:34:30
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 74 formulas have been input or derived (from 23 formulas).
% 0.20/0.50 ; 43 (58%) were retained. Of these,
% 0.20/0.50 ; 1 ( 2%) were simplified or subsumed later,
% 0.20/0.50 ; 42 (98%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (12 calls)
% 0.20/0.50 ; 0.003 9% Process new row (50 calls)
% 0.20/0.50 ; 0.004 11% Resolution (44 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (22 calls)
% 0.20/0.50 ; 0.000 0% Factoring (1 call)
% 0.20/0.50 ; 0.002 6% Condensing (22 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (22 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (20 calls)
% 0.20/0.50 ; 0.001 3% Clause clause subsumption (41 calls)
% 0.20/0.50 ; 0.000 0% Forward simplification (50 calls)
% 0.20/0.50 ; 0.001 3% Backward simplification (43 calls)
% 0.20/0.50 ; 0.000 0% Ordering (26 calls)
% 0.20/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.021 60% Other
% 0.20/0.50 ; 0.035 Total
% 0.20/0.50 ; 0.038 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 71 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 54 nodes (54 at peak, 54 added, 0 deleted).
% 0.20/0.50 ; Retrieved 40 possibly forward subsuming rows in 22 calls.
% 0.20/0.50 ; Retrieved 8 possibly backward subsumed rows in 20 calls.
% 0.20/0.50 ; Path-index has 73 entries (74 at peak, 74 added, 1 deleted).
% 0.20/0.50 ; Path-index has 259 nodes (259 at peak, 259 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 73 entries (74 at peak, 74 added, 1 deleted).
% 0.20/0.50 ; Trie-index has 306 nodes (314 at peak, 314 added, 8 deleted).
% 0.20/0.51 ; Retrieved 5 generalization terms in 49 calls.
% 0.20/0.51 ; Retrieved 23 instance terms in 22 calls.
% 0.20/0.51 ; Retrieved 749 unifiable terms in 245 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 7 entries:
% 0.20/0.51 ; 2 with value 22 5 with value 26
% 0.20/0.51 ; The agenda of rows to give has 19 entries:
% 0.20/0.51 ; 2 with value (4 17) 1 with value (4 20) 1 with value (4 23)
% 0.20/0.51 ; 1 with value (4 18) 2 with value (4 21) 1 with value (4 25)
% 0.20/0.51 ; 4 with value (4 19) 4 with value (4 22) 3 with value (4 27)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.038 seconds of real time
% 0.20/0.51 0.031708 seconds of user run time
% 0.20/0.51 0.006375 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 3,087,104 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T06:34:30
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------