TSTP Solution File: ANA023-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 19:26:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 12 RR)
% Number of literals : 26 ( 25 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq2(X,X,Y,Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X,X,Y,Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
ifeq2(class_OrderedGroup_Ocomm__monoid__add(X),true,c_plus(c_0,Y,X),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_0,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(X),true,ifeq(c_lessequals(Y,c_minus(Z,U,X),X),true,c_lessequals(c_plus(Y,U,X),Z,X),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(X),true,ifeq(c_lessequals(c_plus(Y,Z,X),U,X),true,c_lessequals(Y,c_minus(U,Z,X),X),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
ifeq(class_Orderings_Oorder(X),true,ifeq(c_lessequals(Y,Z,X),true,ifeq(c_lessequals(Z,U,X),true,c_lessequals(Y,U,X),true),true),true) = true,
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) = true,
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) = true,
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) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(clsrel_Orderings_Olinorder_4,axiom,
ifeq(class_Orderings_Olinorder(X),true,class_Orderings_Oorder(X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X),true,class_OrderedGroup_Ocomm__monoid__add(X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X),true,class_Orderings_Olinorder(X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X),true,class_OrderedGroup_Opordered__ab__group__add(X),true) = true,
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) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(15,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23,tfree_tcs,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(16,plain,
class_Orderings_Olinorder(t_b) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(17,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(18,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_0,cls_conjecture_1,theory(equality)]),ifeq_axiom_001,17,theory(equality)]) ).
cnf(20,plain,
ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(X,v_k(v_x),t_b),true,c_lessequals(X,v_f(v_x),t_b),true),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,cls_conjecture_2,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(25,plain,
c_plus(c_0,X,t_b) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,15,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(26,plain,
c_lessequals(v_g(v_x),v_k(v_x),t_b) = true,
inference('REWRITE',[status(thm)],[18,25,theory(equality)]) ).
cnf(27,plain,
class_Orderings_Oorder(t_b) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[clsrel_Orderings_Olinorder_4,16,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(29,plain,
ifeq(c_lessequals(X,v_k(v_x),t_b),true,c_lessequals(X,v_f(v_x),t_b),true) = true,
inference('REWRITE',[status(thm)],[20,ifeq_axiom_001,27,theory(equality)]) ).
cnf(38,plain,
ifeq(c_lessequals(X,Y,t_b),true,c_lessequals(c_0,c_minus(Y,X,t_b),t_b),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_1,25,theory(equality)]),ifeq_axiom_001,17,theory(equality)]) ).
cnf(43,plain,
c_lessequals(v_g(v_x),v_f(v_x),t_b) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[29,26,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(55,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[38,43,theory(equality)]),cls_conjecture_3,ifeq_axiom_001,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 05:36:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T05:36:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-08T05:36:52
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 109 formulas have been input or derived (from 35 formulas).
% 0.19/0.50 ; 55 (50%) were retained. Of these,
% 0.19/0.50 ; 8 (15%) were simplified or subsumed later,
% 0.19/0.50 ; 47 (85%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 4% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 4% Assert (14 calls)
% 0.19/0.50 ; 0.002 7% Process new row (108 calls)
% 0.19/0.50 ; 0.002 7% Resolution (68 calls)
% 0.19/0.50 ; 0.001 4% Paramodulation (34 calls)
% 0.19/0.50 ; 0.001 4% Forward simplification (108 calls)
% 0.19/0.50 ; 0.004 15% Backward simplification (55 calls)
% 0.19/0.50 ; 0.000 0% Ordering (282 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.015 56% Other
% 0.19/0.50 ; 0.027 Total
% 0.19/0.50 ; 0.029 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 173 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.50 ; Path-index has 160 entries (162 at peak, 193 added, 33 deleted).
% 0.19/0.50 ; Path-index has 670 nodes (672 at peak, 757 added, 87 deleted).
% 0.19/0.50 ; Trie-index has 160 entries (162 at peak, 193 added, 33 deleted).
% 0.19/0.50 ; Trie-index has 1,010 nodes (1,025 at peak, 1,360 added, 350 deleted).
% 0.19/0.50 ; Retrieved 145 generalization terms in 307 calls.
% 0.19/0.50 ; Retrieved 55 instance terms in 54 calls.
% 0.19/0.50 ; Retrieved 197 unifiable terms in 286 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 1 entry:
% 0.19/0.50 ; 1 with value 28
% 0.19/0.50 ; The agenda of rows to give has 12 entries:
% 0.19/0.50 ; 1 with value (4 19) 1 with value (4 26) 1 with value (4 28)
% 0.19/0.50 ; 3 with value (4 24) 2 with value (4 27) 1 with value (4 29)
% 0.19/0.50 ; 3 with value (4 25)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.029 seconds of real time
% 0.19/0.50 0.025095 seconds of user run time
% 0.19/0.50 0.004394 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 4,171,952 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T05:36:52
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------