TSTP Solution File: ANA030-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 19:26:51 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of clauses : 32 ( 20 unt; 0 nHn; 16 RR)
% Number of literals : 47 ( 11 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X),v_g(X),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(v_f(v_x(X)),c_plus(v_g(v_x(X)),c_times(X,c_HOL_Oabs(v_h(v_x(X)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| ~ c_lessequals(c_0,Y,X)
| c_HOL_Oabs(Y,X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__8_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(c_minus(Y,Z,X),U,X)
| c_lessequals(Y,c_plus(U,Z,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_0) ).
cnf(cls_OrderedGroup_Odiff__minus__eq__add_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(Y,c_uminus(Z,X),X) = c_plus(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
cnf(cls_OrderedGroup_Ominus__add__distrib_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_uminus(c_plus(Y,Z,X),X) = c_plus(c_uminus(Y,X),c_uminus(Z,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__add__distrib_0) ).
cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_uminus(c_minus(Y,Z,X),X) = c_minus(Z,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
cnf(cls_OrderedGroup_Ominus__minus_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_uminus(c_uminus(Y,X),X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__minus_0) ).
cnf(cls_Orderings_Ole__maxI2_0,axiom,
( ~ class_Orderings_Olinorder(X)
| c_lessequals(Y,c_Orderings_Omax(Z,Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0,axiom,
( ~ class_Orderings_Olinorder(X)
| ~ c_lessequals(c_Orderings_Omax(Y,Z,X),U,X)
| c_lessequals(Y,U,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| class_OrderedGroup_Opordered__ab__group__add(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Olinorder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
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_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Olordered__ab__group__abs(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(17,plain,
class_Orderings_Olinorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(18,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).
cnf(19,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(20,plain,
c_lessequals(X,c_Orderings_Omax(Y,X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Ole__maxI2_0,17]) ).
cnf(22,plain,
c_uminus(c_uminus(X,t_b),t_b) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ominus__minus_0,18]) ).
cnf(23,plain,
c_uminus(c_minus(X,Y,t_b),t_b) = c_minus(Y,X,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ominus__diff__eq_0,18]) ).
cnf(24,plain,
c_minus(X,c_uminus(Y,t_b),t_b) = c_plus(X,Y,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__minus__eq__add_0,18]) ).
cnf(25,plain,
~ c_lessequals(v_f(v_x(X)),c_minus(v_g(v_x(X)),c_uminus(c_times(X,c_HOL_Oabs(v_h(v_x(X)),t_b),t_b),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[cls_conjecture_2,24,theory(equality)]) ).
cnf(27,plain,
c_minus(c_uminus(X,t_b),Y,t_b) = c_minus(c_uminus(Y,t_b),X,t_b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ominus__add__distrib_0,18]),22,23,24,theory(equality)]) ).
cnf(28,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_1,19]) ).
cnf(30,plain,
c_HOL_Oabs(c_Orderings_Omax(X,c_0,t_b),t_b) = c_Orderings_Omax(X,c_0,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonneg_0,20,19]) ).
cnf(31,plain,
c_lessequals(c_Orderings_Omax(c_minus(v_f(X),v_g(X),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[cls_conjecture_1,30,theory(equality)]) ).
cnf(33,plain,
c_lessequals(c_minus(v_f(X),v_g(X),t_b),c_times(v_c,c_HOL_Oabs(v_h(X),t_b),t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0,31,17]) ).
cnf(38,plain,
c_minus(X,c_uminus(Y,t_b),t_b) = c_minus(Y,c_uminus(X,t_b),t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23,27,theory(equality)]),23,theory(equality)]) ).
cnf(39,plain,
~ c_lessequals(v_f(v_x(X)),c_minus(c_times(X,c_HOL_Oabs(v_h(v_x(X)),t_b),t_b),c_uminus(v_g(v_x(X)),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[25,38,theory(equality)]) ).
cnf(46,plain,
c_lessequals(v_f(X),c_minus(c_times(v_c,c_HOL_Oabs(v_h(X),t_b),t_b),c_uminus(v_g(X),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__8_0,33,28]),24,theory(equality)]) ).
cnf(82,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[39,46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n023.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 06:13:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:13:41
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-08T06:13:41
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 #||
% 0.21/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.21/0.56 ||#
% 0.21/0.56
% 0.21/0.56 ; Summary of computation:
% 0.21/0.56 ; 248 formulas have been input or derived (from 45 formulas).
% 0.21/0.56 ; 82 (33%) were retained. Of these,
% 0.21/0.56 ; 6 ( 7%) were simplified or subsumed later,
% 0.21/0.56 ; 76 (93%) are still being kept.
% 0.21/0.56 ;
% 0.21/0.56 ; Run time in seconds excluding printing time:
% 0.21/0.56 ; 0.003 5% Read assertion file (1 call)
% 0.21/0.56 ; 0.000 0% Assert (16 calls)
% 0.21/0.56 ; 0.010 16% Process new row (205 calls)
% 0.21/0.56 ; 0.004 6% Resolution (88 calls)
% 0.21/0.56 ; 0.002 3% Paramodulation (44 calls)
% 0.21/0.56 ; 0.000 0% Condensing (35 calls)
% 0.21/0.56 ; 0.002 3% Forward subsumption (35 calls)
% 0.21/0.56 ; 0.000 0% Backward subsumption (20 calls)
% 0.21/0.56 ; 0.002 3% Clause clause subsumption (23 calls)
% 0.21/0.56 ; 0.007 11% Forward simplification (205 calls)
% 0.21/0.56 ; 0.003 5% Backward simplification (82 calls)
% 0.21/0.56 ; 0.002 3% Ordering (403 calls)
% 0.21/0.56 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.56 ; 0.000 0% Purity testing (1 call)
% 0.21/0.56 ; 0.026 42% Other
% 0.21/0.56 ; 0.062 Total
% 0.21/0.56 ; 0.068 Real time
% 0.21/0.56 ;
% 0.21/0.56 ; Term-hash-array has 266 terms in all.
% 0.21/0.56 ; Feature-vector-row-index has 19 entries (19 at peak, 20 added, 1 deleted).
% 0.21/0.56 ; Feature-vector-row-index has 91 nodes (91 at peak, 106 added, 15 deleted).
% 0.21/0.56 ; Retrieved 31 possibly forward subsuming rows in 35 calls.
% 0.21/0.56 ; Retrieved 5 possibly backward subsumed rows in 20 calls.
% 0.21/0.56 ; Path-index has 258 entries (258 at peak, 292 added, 34 deleted).
% 0.21/0.56 ; Path-index has 1,187 nodes (1,187 at peak, 1,263 added, 76 deleted).
% 0.21/0.56 ; Trie-index has 258 entries (258 at peak, 292 added, 34 deleted).
% 0.21/0.56 ; Trie-index has 1,519 nodes (1,519 at peak, 1,746 added, 227 deleted).
% 0.21/0.56 ; Retrieved 360 generalization terms in 1,020 calls.
% 0.21/0.56 ; Retrieved 85 instance terms in 67 calls.
% 0.21/0.56 ; Retrieved 806 unifiable terms in 399 calls.
% 0.21/0.56 ;
% 0.21/0.56 ; The agenda of rows to process has 1 entry:
% 0.21/0.56 ; 1 with value 27
% 0.21/0.56 ; The agenda of rows to give has 34 entries:
% 0.21/0.56 ; 3 with value (4 26) 2 with value (4 30) 1 with value (4 34)
% 0.21/0.56 ; 5 with value (4 27) 3 with value (4 31) 1 with value (4 35)
% 0.21/0.56 ; 7 with value (4 28) 3 with value (4 32) 1 with value (4 36)
% 0.21/0.56 ; 3 with value (4 29) 3 with value (4 33) 2 with value (4 38)
% 0.21/0.56 Evaluation took:
% 0.21/0.56 0.068 seconds of real time
% 0.21/0.56 0.056878 seconds of user run time
% 0.21/0.56 0.011119 seconds of system run time
% 0.21/0.56 0 calls to %EVAL
% 0.21/0.56 0 page faults and
% 0.21/0.56 5,478,536 bytes consed.
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:13:41
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 *
%------------------------------------------------------------------------------