%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA028-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 19:26:50 EDT 2022
% Result : Unsatisfiable 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 37 ( 27 unt; 0 nHn; 13 RR)
% Number of literals : 49 ( 23 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__2_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_plus(Y,c_minus(Z,U,X),X) = c_minus(c_plus(Y,Z,X),U,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__3_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_plus(c_minus(Y,Z,X),U,X) = c_minus(c_plus(Y,U,X),Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__5_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(Y,c_minus(Z,U,X),X) = c_minus(c_plus(Y,U,X),Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__5_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__8_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(Y,c_plus(Z,U,X),X)
| c_lessequals(c_minus(Y,U,X),Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(cls_OrderedGroup_Odiff__self_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(Y,Y,X) = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_g(X),v_k(X),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
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/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Oab__group__add(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(14,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23,tfree_tcs]) ).
cnf(15,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).
cnf(16,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).
cnf(17,plain,
c_plus(c_0,X,t_b) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,14]) ).
cnf(18,plain,
c_minus(X,X,t_b) = c_0,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__self_0,15]) ).
cnf(19,plain,
c_minus(X,c_minus(Y,Z,t_b),t_b) = c_minus(c_plus(X,Z,t_b),Y,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__5_0,15]) ).
cnf(20,plain,
c_plus(c_minus(X,Y,t_b),Z,t_b) = c_minus(c_plus(X,Z,t_b),Y,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__3_0,15]) ).
cnf(21,plain,
c_plus(X,c_minus(Y,Z,t_b),t_b) = c_minus(c_plus(X,Y,t_b),Z,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__2_0,15]) ).
cnf(22,plain,
~ c_lessequals(c_minus(v_f(v_x),c_minus(v_k(v_x),v_g(v_x),t_b),t_b),v_f(v_x),t_b),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_1,16,cls_conjecture_3]),19,20,theory(equality)]) ).
cnf(32,plain,
c_minus(c_0,c_minus(X,Y,t_b),t_b) = c_minus(Y,X,t_b),
inference('PARAMODULATE',[status(thm)],[19,17,theory(equality)]) ).
cnf(44,plain,
X = c_minus(Y,c_minus(Y,X,t_b),t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[20,18,theory(equality)]),19,17,theory(equality)]) ).
cnf(51,plain,
X = c_minus(X,c_0,t_b),
inference('PARAMODULATE',[status(thm)],[32,44,theory(equality)]) ).
cnf(53,plain,
c_minus(c_0,X,t_b) = c_minus(c_minus(Y,X,t_b),Y,t_b),
inference('PARAMODULATE',[status(thm)],[32,44,theory(equality)]) ).
cnf(54,plain,
c_plus(X,Y,t_b) = c_minus(c_plus(Z,Y,t_b),c_minus(Z,X,t_b),t_b),
inference('PARAMODULATE',[status(thm)],[20,44,theory(equality)]) ).
cnf(56,plain,
X = c_minus(c_plus(Y,Z,t_b),c_minus(Y,c_minus(X,Z,t_b),t_b),t_b),
inference('PARAMODULATE',[status(thm)],[44,19,theory(equality)]) ).
cnf(58,plain,
c_minus(X,c_minus(c_0,Y,t_b),t_b) = c_plus(X,Y,t_b),
inference('PARAMODULATE',[status(thm)],[19,51,theory(equality)]) ).
cnf(65,plain,
X = c_minus(c_minus(Y,c_minus(c_0,Z,t_b),t_b),c_minus(Y,c_minus(X,Z,t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[56,58,theory(equality)]) ).
cnf(69,plain,
c_minus(X,c_minus(c_0,Y,t_b),t_b) = c_minus(c_minus(Z,c_minus(c_0,Y,t_b),t_b),c_minus(Z,X,t_b),t_b),
inference('REWRITE',[status(thm)],[54,58,theory(equality)]) ).
cnf(70,plain,
X = c_minus(c_minus(X,Y,t_b),c_minus(c_0,Y,t_b),t_b),
inference('REWRITE',[status(thm)],[65,69,theory(equality)]) ).
cnf(71,plain,
c_minus(X,c_minus(Y,Z,t_b),t_b) = c_minus(c_minus(X,c_minus(c_0,Z,t_b),t_b),Y,t_b),
inference('REWRITE',[status(thm)],[21,32,58,theory(equality)]) ).
cnf(75,plain,
c_minus(X,Y,t_b) = c_minus(c_minus(c_0,Y,t_b),c_minus(c_0,X,t_b),t_b),
inference('PARAMODULATE',[status(thm)],[70,53,theory(equality)]) ).
cnf(80,plain,
c_minus(X,c_minus(c_0,Y,t_b),t_b) = c_minus(Y,c_minus(c_0,X,t_b),t_b),
inference('PARAMODULATE',[status(thm)],[75,44,theory(equality)]) ).
cnf(84,plain,
~ c_lessequals(c_minus(v_g(v_x),c_minus(v_k(v_x),v_f(v_x),t_b),t_b),v_f(v_x),t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,71,theory(equality)]),71,80,theory(equality)]) ).
cnf(98,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__8_1,84,16]),cls_conjecture_1,44,32,58,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA028-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 : Fri Jul 8 03:31:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-08T03:31:05
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-08T03:31:05
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 #||
% 0.18/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation
% See solution above
% 0.18/0.55 ||#
% 0.18/0.55
% 0.18/0.55 ; Summary of computation:
% 0.18/0.55 ; 277 formulas have been input or derived (from 40 formulas).
% 0.18/0.55 ; 98 (35%) were retained. Of these,
% 0.18/0.55 ; 38 (39%) were simplified or subsumed later,
% 0.18/0.55 ; 60 (61%) are still being kept.
% 0.18/0.55 ;
% 0.18/0.55 ; Run time in seconds excluding printing time:
% 0.18/0.55 ; 0.002 3% Read assertion file (1 call)
% 0.18/0.55 ; 0.001 1% Assert (13 calls)
% 0.18/0.55 ; 0.012 15% Process new row (257 calls)
% 0.18/0.55 ; 0.004 5% Resolution (78 calls)
% 0.18/0.55 ; 0.004 5% Paramodulation (39 calls)
% 0.18/0.55 ; 0.000 0% Condensing (18 calls)
% 0.18/0.55 ; 0.000 0% Forward subsumption (18 calls)
% 0.18/0.55 ; 0.000 0% Backward subsumption (18 calls)
% 0.18/0.55 ; 0.000 0% Clause clause subsumption (12 calls)
% 0.18/0.55 ; 0.013 16% Forward simplification (249 calls)
% 0.18/0.55 ; 0.008 10% Backward simplification (98 calls)
% 0.18/0.55 ; 0.010 13% Ordering (1,303 calls)
% 0.18/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.55 ; 0.000 0% Purity testing (1 call)
% 0.18/0.55 ; 0.025 32% Other
% 0.18/0.55 ; 0.079 Total
% 0.18/0.55 ; 0.084 Real time
% 0.18/0.55 ;
% 0.18/0.55 ; Term-hash-array has 264 terms in all.
% 0.18/0.55 ; Feature-vector-row-index has 16 entries (16 at peak, 18 added, 2 deleted).
% 0.18/0.55 ; Feature-vector-row-index has 64 nodes (64 at peak, 75 added, 11 deleted).
% 0.18/0.55 ; Retrieved 6 possibly forward subsuming rows in 18 calls.
% 0.18/0.55 ; Retrieved 6 possibly backward subsumed rows in 18 calls.
% 0.18/0.55 ; Path-index has 176 entries (176 at peak, 292 added, 116 deleted).
% 0.18/0.55 ; Path-index has 454 nodes (454 at peak, 544 added, 90 deleted).
% 0.18/0.55 ; Trie-index has 176 entries (176 at peak, 292 added, 116 deleted).
% 0.18/0.55 ; Trie-index has 823 nodes (823 at peak, 1,382 added, 559 deleted).
% 0.18/0.55 ; Retrieved 1,775 generalization terms in 1,175 calls.
% 0.18/0.55 ; Retrieved 396 instance terms in 123 calls.
% 0.18/0.55 ; Retrieved 856 unifiable terms in 257 calls.
% 0.18/0.55 ;
% 0.18/0.55 ; The agenda of rows to process has 1 entry:
% 0.18/0.55 ; 1 with value 26
% 0.18/0.55 ; The agenda of rows to give has 28 entries:
% 0.18/0.55 ; 1 with value (4 21) 1 with value (4 27) 1 with value (4 31)
% 0.18/0.55 ; 2 with value (4 23) 5 with value (4 28) 6 with value (4 32)
% 0.18/0.55 ; 3 with value (4 24) 2 with value (4 29) 1 with value (4 34)
% 0.18/0.55 ; 2 with value (4 26) 2 with value (4 30) 2 with value (4 35)
% 0.18/0.55 Evaluation took:
% 0.18/0.55 0.084 seconds of real time
% 0.18/0.55 0.074294 seconds of user run time
% 0.18/0.55 0.010229 seconds of system run time
% 0.18/0.55 0 calls to %EVAL
% 0.18/0.55 0 page faults and
% 0.18/0.55 6,367,328 bytes consed.
% 0.18/0.55 :PROOF-FOUND
% 0.18/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T03:31:05
% 0.18/0.55 :PROOF-FOUND
% 0.18/0.55 *
%------------------------------------------------------------------------------