TSTP Solution File: ANA034-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA034-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 19:26:54 EDT 2022
% Result : Unsatisfiable 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of clauses : 24 ( 15 unt; 0 nHn; 19 RR)
% Number of literals : 40 ( 3 equ; 17 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| c_HOL_Oabs(c_times(Y,Z,X),X) = c_times(c_HOL_Oabs(Y,X),c_HOL_Oabs(Z,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(cls_Ring__and__Field_Omult__mono_0,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,V,X)
| ~ c_lessequals(c_0,Y,X)
| ~ c_lessequals(c_0,V,X)
| c_lessequals(c_times(U,Y,X),c_times(V,Z,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__mono_0) ).
cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X)
| ~ c_lessequals(c_0,Y,X)
| ~ c_lessequals(c_0,Z,X)
| c_lessequals(c_0,c_times(Z,Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_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/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_less(c_0,v_c,t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Ring__and__Field_Opordered__cancel__semiring(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Ring__and__Field_Opordered__semiring(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
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(16,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_40,tfree_tcs]) ).
cnf(17,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).
cnf(18,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(19,plain,
c_HOL_Oabs(c_times(X,Y,t_b),t_b) = c_times(c_HOL_Oabs(X,t_b),c_HOL_Oabs(Y,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Oabs__mult_0,tfree_tcs]) ).
cnf(20,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_17,18]) ).
cnf(21,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,18]) ).
cnf(22,plain,
c_lessequals(c_0,v_c,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,20,cls_conjecture_0]) ).
cnf(25,plain,
c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X,t_b),t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0,21,16,22]) ).
cnf(48,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Omult__mono_0,25,17,cls_conjecture_3,cls_conjecture_2,21]),cls_conjecture_5,cls_conjecture_4,19,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA034-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 05:32:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T05:32:55
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-08T05:32:55
% 0.36/0.53
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.36/0.53 ||#
% 0.36/0.53
% 0.36/0.53 ; Summary of computation:
% 0.36/0.53 ; 107 formulas have been input or derived (from 24 formulas).
% 0.36/0.53 ; 48 (45%) were retained. Of these,
% 0.36/0.53 ; 48 (100%) are still being kept.
% 0.36/0.53 ;
% 0.36/0.53 ; Run time in seconds excluding printing time:
% 0.36/0.53 ; 0.004 9% Read assertion file (1 call)
% 0.36/0.53 ; 0.001 2% Assert (15 calls)
% 0.36/0.53 ; 0.005 11% Process new row (92 calls)
% 0.36/0.53 ; 0.010 22% Resolution (46 calls)
% 0.36/0.53 ; 0.001 2% Paramodulation (23 calls)
% 0.36/0.53 ; 0.000 0% Condensing (9 calls)
% 0.36/0.53 ; 0.000 0% Forward subsumption (9 calls)
% 0.36/0.53 ; 0.000 0% Backward subsumption (9 calls)
% 0.36/0.53 ; 0.000 0% Forward simplification (92 calls)
% 0.36/0.53 ; 0.001 2% Backward simplification (48 calls)
% 0.36/0.53 ; 0.000 0% Ordering (8 calls)
% 0.36/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.53 ; 0.000 0% Purity testing (1 call)
% 0.36/0.53 ; 0.023 51% Other
% 0.36/0.53 ; 0.045 Total
% 0.36/0.53 ; 0.049 Real time
% 0.36/0.53 ;
% 0.36/0.53 ; Term-hash-array has 112 terms in all.
% 0.36/0.53 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.36/0.53 ; Feature-vector-row-index has 37 nodes (37 at peak, 37 added, 0 deleted).
% 0.36/0.53 ; Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.36/0.53 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.36/0.53 ; Path-index has 117 entries (117 at peak, 117 added, 0 deleted).
% 0.36/0.53 ; Path-index has 377 nodes (377 at peak, 377 added, 0 deleted).
% 0.36/0.53 ; Trie-index has 117 entries (117 at peak, 117 added, 0 deleted).
% 0.36/0.53 ; Trie-index has 642 nodes (642 at peak, 642 added, 0 deleted).
% 0.36/0.53 ; Retrieved 51 generalization terms in 170 calls.
% 0.36/0.53 ; Retrieved 38 instance terms in 38 calls.
% 0.36/0.53 ; Retrieved 2,806 unifiable terms in 948 calls.
% 0.36/0.53 ;
% 0.36/0.53 ; The agenda of rows to process has 2 entries:
% 0.36/0.53 ; 2 with value 38
% 0.36/0.53 ; The agenda of rows to give has 24 entries:
% 0.36/0.53 ; 1 with value (4 16) 2 with value (4 23) 2 with value (4 29)
% 0.36/0.53 ; 2 with value (4 18) 2 with value (4 24) 3 with value (4 32)
% 0.36/0.53 ; 1 with value (4 19) 1 with value (4 26) 2 with value (4 34)
% 0.36/0.53 ; 2 with value (4 20) 2 with value (4 28) 1 with value (4 36)
% 0.36/0.53 ; 3 with value (4 21)
% 0.36/0.53 Evaluation took:
% 0.36/0.53 0.049 seconds of real time
% 0.36/0.53 0.042111 seconds of user run time
% 0.36/0.53 0.006977 seconds of system run time
% 0.36/0.53 0 calls to %EVAL
% 0.36/0.53 0 page faults and
% 0.36/0.53 3,889,576 bytes consed.
% 0.36/0.53 :PROOF-FOUND
% 0.36/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T05:32:55
% 0.36/0.53 :PROOF-FOUND
% 0.36/0.53 *
%------------------------------------------------------------------------------