%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA023-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 19:26:46 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 20 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 32 ( 2 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X)
| c_plus(c_0,Y,X) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(Y,c_minus(Z,U,X),X)
| c_lessequals(c_plus(Y,U,X),Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(c_plus(Y,Z,X),U,X)
| c_lessequals(Y,c_minus(U,Z,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
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_conjecture_1,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_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(clsrel_Orderings_Olinorder_4,axiom,
( ~ class_Orderings_Olinorder(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Ocomm__monoid__add(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
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_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Opordered__ab__group__add(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
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_OrderedGroup_Ocomm__monoid__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23,tfree_tcs]) ).
cnf(14,plain,
class_Orderings_Olinorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(15,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).
cnf(16,plain,
c_plus(c_0,X,t_b) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,13]) ).
cnf(17,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Orderings_Olinorder_4,14]) ).
cnf(18,plain,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_0,15,cls_conjecture_1]),16,theory(equality)]) ).
cnf(19,plain,
~ c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_1,15,cls_conjecture_3]),16,theory(equality)]) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,18,17,cls_conjecture_2]),19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ANA023-2 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 05:27:15 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T05:27:15
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-08T05:27:15
% 0.21/0.53
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 30 formulas have been input or derived (from 19 formulas).
% 0.21/0.53 ; 22 (73%) were retained. Of these,
% 0.21/0.53 ; 22 (100%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.002 7% Read assertion file (1 call)
% 0.21/0.53 ; 0.001 3% Assert (12 calls)
% 0.21/0.53 ; 0.002 7% Process new row (24 calls)
% 0.21/0.53 ; 0.001 3% Resolution (36 calls)
% 0.21/0.53 ; 0.000 0% Paramodulation (18 calls)
% 0.21/0.53 ; 0.000 0% Condensing (9 calls)
% 0.21/0.53 ; 0.000 0% Forward subsumption (9 calls)
% 0.21/0.53 ; 0.000 0% Backward subsumption (9 calls)
% 0.21/0.53 ; 0.001 3% Forward simplification (24 calls)
% 0.21/0.53 ; 0.000 0% Backward simplification (22 calls)
% 0.21/0.53 ; 0.000 0% Ordering (7 calls)
% 0.21/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.022 76% Other
% 0.21/0.53 ; 0.029 Total
% 0.21/0.53 ; 0.032 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 39 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 30 nodes (30 at peak, 30 added, 0 deleted).
% 0.21/0.53 ; Retrieved 1 possibly forward subsuming row in 9 calls.
% 0.21/0.53 ; Retrieved 1 possibly backward subsumed row in 9 calls.
% 0.21/0.53 ; Path-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.21/0.53 ; Path-index has 105 nodes (105 at peak, 105 added, 0 deleted).
% 0.21/0.53 ; Trie-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.21/0.53 ; Trie-index has 116 nodes (116 at peak, 116 added, 0 deleted).
% 0.21/0.53 ; Retrieved 6 generalization terms in 15 calls.
% 0.21/0.53 ; Retrieved 12 instance terms in 12 calls.
% 0.21/0.53 ; Retrieved 214 unifiable terms in 125 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to give has 3 entries:
% 0.21/0.53 ; 1 with value (4 10) 1 with value (4 17) 1 with value (4 20)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.033 seconds of real time
% 0.21/0.53 0.030807 seconds of user run time
% 0.21/0.53 0.001888 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 2,575,088 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T05:27:15
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------