TSTP Solution File: ANA014-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA014-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 19:26:39 EDT 2022
% Result : Unsatisfiable 1.79s 1.95s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 26 ( 16 unt; 1 nHn; 17 RR)
% Number of literals : 37 ( 10 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X)),t_a),c_times(X,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X)),t_a),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X)
| c_times(c_1,Y,X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
cnf(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0,axiom,
( ~ class_OrderedGroup_Osemigroup__mult(X)
| c_times(c_times(Y,Z,X),U,X) = c_times(Y,c_times(Z,U,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(X)
| c_lessequals(Y,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
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_Ofield__class_Oaxioms__1_0,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| Y = c_0
| c_times(c_HOL_Oinverse(Y,X),Y,X) = c_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Ofield_12,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| class_OrderedGroup_Omonoid__mult(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
cnf(clsrel_Ring__and__Field_Ofield_21,axiom,
( ~ class_Ring__and__Field_Ofield(X)
| class_OrderedGroup_Osemigroup__mult(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_Ring__and__Field_Ofield(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_Ring__and__Field_Oordered__idom(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
( ~ class_Ring__and__Field_Oordered__field(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
cnf(14,plain,
class_Ring__and__Field_Ofield(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_0,tfree_tcs]) ).
cnf(15,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_34,tfree_tcs]) ).
cnf(16,plain,
class_Orderings_Oorder(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__field_58,tfree_tcs]) ).
cnf(17,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ofield_21,14]) ).
cnf(18,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ofield_12,14]) ).
cnf(19,plain,
c_times(c_HOL_Oinverse(v_c,t_a),v_c,t_a) = c_1,
inference('UR-RESOLVE',[status(thm)],[cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,14,cls_conjecture_0]) ).
cnf(21,plain,
c_HOL_Oabs(c_times(X,Y,t_a),t_a) = c_times(c_HOL_Oabs(X,t_a),c_HOL_Oabs(Y,t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Oabs__mult_0,15]) ).
cnf(22,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X)),t_a),c_times(X,c_HOL_Oabs(c_times(v_c,v_f(v_x(X)),t_a),t_a),t_a),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_1,21,theory(equality)]) ).
cnf(23,plain,
c_lessequals(X,X,t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0,16]) ).
cnf(24,plain,
c_times(c_times(X,Y,t_a),Z,t_a) = c_times(X,c_times(Y,Z,t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0,17]) ).
cnf(25,plain,
c_times(c_1,X,t_a) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,18]) ).
cnf(27,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(X,t_a))),t_a),c_HOL_Oabs(c_times(c_times(X,v_c,t_a),v_f(v_x(c_HOL_Oabs(X,t_a))),t_a),t_a),t_a),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,21,theory(equality)]),24,theory(equality)]) ).
cnf(1595,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[27,19,theory(equality)]),23,25,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA014-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.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 06:03:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:03:08
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-08T06:03:08
% 1.79/1.95
% 1.79/1.95
% 1.79/1.95 #||
% 1.79/1.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/1.95 % SZS output start Refutation
% See solution above
% 1.79/1.95 ||#
% 1.79/1.95
% 1.79/1.95 ; Summary of computation:
% 1.79/1.95 ; 3516 formulas have been input or derived (from 80 formulas).
% 1.79/1.95 ; 1595 (45%) were retained. Of these,
% 1.79/1.95 ; 65 ( 4%) were simplified or subsumed later,
% 1.79/1.95 ; 1530 (96%) are still being kept.
% 1.79/1.95 ;
% 1.79/1.95 ; Run time in seconds excluding printing time:
% 1.79/1.95 ; 0.003 0% Read assertion file (1 call)
% 1.79/1.95 ; 0.001 0% Assert (13 calls)
% 1.79/1.95 ; 0.241 16% Process new row (3,467 calls)
% 1.79/1.95 ; 0.002 0% Resolution (158 calls)
% 1.79/1.95 ; 0.059 4% Paramodulation (79 calls)
% 1.79/1.95 ; 0.001 0% Factoring (25 calls)
% 1.79/1.95 ; 0.025 2% Condensing (1,505 calls)
% 1.79/1.95 ; 0.253 17% Forward subsumption (1,505 calls)
% 1.79/1.95 ; 0.036 2% Backward subsumption (817 calls)
% 1.79/1.95 ; 0.081 5% Clause clause subsumption (22,045 calls)
% 1.79/1.95 ; 0.288 19% Forward simplification (3,448 calls)
% 1.79/1.95 ; 0.052 4% Backward simplification (1,595 calls)
% 1.79/1.95 ; 0.407 27% Ordering (65,466 calls)
% 1.79/1.95 ; 0.000 0% Sortal reasoning (32 calls)
% 1.79/1.95 ; 0.000 0% Purity testing (1 call)
% 1.79/1.95 ; 0.035 2% Other
% 1.79/1.95 ; 1.484 Total
% 1.79/1.95 ; 1.486 Real time
% 1.79/1.95 ;
% 1.79/1.95 ; Term-hash-array has 3,554 terms in all.
% 1.79/1.95 ; Feature-vector-row-index has 788 entries (788 at peak, 817 added, 29 deleted).
% 1.79/1.95 ; Feature-vector-row-index has 3,592 nodes (3,592 at peak, 3,797 added, 205 deleted).
% 1.79/1.95 ; Retrieved 22,743 possibly forward subsuming rows in 1,505 calls.
% 1.79/1.95 ; Retrieved 5,116 possibly backward subsumed rows in 817 calls.
% 1.79/1.95 ; Path-index has 3,432 entries (3,432 at peak, 3,622 added, 190 deleted).
% 1.79/1.95 ; Path-index has 4,784 nodes (4,784 at peak, 5,007 added, 223 deleted).
% 1.79/1.95 ; Trie-index has 3,432 entries (3,432 at peak, 3,622 added, 190 deleted).
% 1.79/1.95 ; Trie-index has 31,688 nodes (31,688 at peak, 33,310 added, 1,622 deleted).
% 1.79/1.95 ; Retrieved 29,419 generalization terms in 29,731 calls.
% 1.79/1.95 ; Retrieved 3,863 instance terms in 2,175 calls.
% 1.79/1.95 ; Retrieved 11,174 unifiable terms in 613 calls.
% 1.79/1.95 ;
% 1.79/1.95 ; The agenda of rows to process has 31 entries:
% 1.79/1.95 ; 1 with value 35 2 with value 42 1 with value 50
% 1.79/1.95 ; 1 with value 36 1 with value 44 5 with value 51
% 1.79/1.95 ; 1 with value 37 3 with value 45 1 with value 52
% 1.79/1.95 ; 1 with value 38 2 with value 47 5 with value 53
% 1.79/1.95 ; 2 with value 40 1 with value 48 2 with value 54
% 1.79/1.95 ; 1 with value 41 1 with value 49
% 1.79/1.95 ; The agenda of rows to give has 1454 entries:
% 1.79/1.95 ; 1 with value (4 29) 48 with value (4 39) 13 with value (4 47)
% 1.79/1.95 ; 11 with value (4 31) 47 with value (4 40) 22 with value (4 48)
% 1.79/1.95 ; 12 with value (4 32) 103 with value (4 41) 14 with value (4 49)
% 1.79/1.95 ; 18 with value (4 33) 98 with value (4 42) 17 with value (4 50)
% 1.79/1.95 ; 21 with value (4 34) 223 with value (4 43) 5 with value (4 51)
% 1.79/1.95 ; 26 with value (4 35) 333 with value (4 44) 16 with value (4 52)
% 1.79/1.95 ; 49 with value (4 36) 188 with value (4 45) 12 with value (4 53)
% 1.79/1.95 ; 97 with value (4 37) 18 with value (4 46) 2 with value (4 55)
% 1.79/1.96 ; 60 with value (4 38)
% 1.79/1.96 Evaluation took:
% 1.79/1.96 1.486 seconds of real time
% 1.79/1.96 1.33566 seconds of user run time
% 1.79/1.96 0.151205 seconds of system run time
% 1.79/1.96 [Run times include 0.106 seconds GC run time.]
% 1.79/1.96 0 calls to %EVAL
% 1.79/1.96 0 page faults and
% 1.79/1.96 125,748,584 bytes consed.
% 1.79/1.96 :PROOF-FOUND
% 1.79/1.96 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T06:03:10
% 1.79/1.96 :PROOF-FOUND
% 1.79/1.96 *
%------------------------------------------------------------------------------