TSTP Solution File: GEO628+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO628+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 : Sat Jul 16 06:17:02 EDT 2022
% Result : Theorem 38.49s 38.72s
% Output : Refutation 38.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of clauses : 51 ( 39 unt; 0 nHn; 48 RR)
% Number of literals : 67 ( 0 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 59 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ coll(X,Y,Z)
| coll(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
cnf(2,axiom,
( ~ coll(X,Y,Z)
| ~ coll(X,Y,U)
| coll(Z,U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
cnf(7,axiom,
( ~ perp(X,Y,Z,U)
| perp(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
cnf(8,axiom,
( ~ perp(X,Y,Z,U)
| ~ perp(Z,U,V,W)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
cnf(13,axiom,
( ~ cyclic(X,Y,Z,U)
| cyclic(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
cnf(14,axiom,
( ~ cyclic(X,Y,Z,U)
| cyclic(X,Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
cnf(15,axiom,
( ~ cyclic(X,Y,Z,U)
| cyclic(Y,X,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
cnf(16,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| cyclic(Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
cnf(20,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(X,Y,V,W,Z,U,X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(39,axiom,
( ~ para(X,Y,Z,U)
| eqangle(X,Y,V,W,Z,U,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
cnf(42,axiom,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| ~ coll(X,U,Z)
| cyclic(Y,Z,X,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(121,negated_conjecture,
perp('SKOLEMAAAV30','SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110991) ).
cnf(122,negated_conjecture,
coll('SKOLEMAAAV30','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110991) ).
cnf(123,negated_conjecture,
perp('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV31'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110991) ).
cnf(124,negated_conjecture,
perp('SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV25','SKOLEMAAAV31'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110991) ).
cnf(125,negated_conjecture,
~ cyclic('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV31'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110991) ).
cnf(129,plain,
coll('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV30'),
inference('HYPERRESOLVE',[status(thm)],[1,122]) ).
cnf(140,plain,
perp('SKOLEMAAAV28','SKOLEMAAAV31','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[7,123]) ).
cnf(141,plain,
perp('SKOLEMAAAV25','SKOLEMAAAV31','SKOLEMAAAV29','SKOLEMAAAV30'),
inference('HYPERRESOLVE',[status(thm)],[7,124]) ).
cnf(143,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV30','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[7,121]) ).
cnf(146,plain,
~ cyclic('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV31','SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[13,125]) ).
cnf(164,plain,
coll('SKOLEMAAAV30','SKOLEMAAAV30','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[2,129,129]) ).
cnf(188,plain,
para('SKOLEMAAAV28','SKOLEMAAAV31','SKOLEMAAAV28','SKOLEMAAAV31'),
inference('HYPERRESOLVE',[status(thm)],[8,140,123]) ).
cnf(192,plain,
para('SKOLEMAAAV25','SKOLEMAAAV31','SKOLEMAAAV25','SKOLEMAAAV31'),
inference('HYPERRESOLVE',[status(thm)],[8,141,124]) ).
cnf(203,plain,
para('SKOLEMAAAV30','SKOLEMAAAV28','SKOLEMAAAV30','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[8,143,121]) ).
cnf(212,plain,
~ cyclic('SKOLEMAAAV21','SKOLEMAAAV31','SKOLEMAAAV25','SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[14,146]) ).
cnf(264,plain,
coll('SKOLEMAAAV28','SKOLEMAAAV31','SKOLEMAAAV31'),
inference('HYPERRESOLVE',[status(thm)],[66,188]) ).
cnf(265,plain,
eqangle('SKOLEMAAAV28','SKOLEMAAAV31',X,Y,'SKOLEMAAAV28','SKOLEMAAAV31',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,188]) ).
cnf(271,plain,
coll('SKOLEMAAAV25','SKOLEMAAAV31','SKOLEMAAAV31'),
inference('HYPERRESOLVE',[status(thm)],[66,192]) ).
cnf(317,plain,
coll('SKOLEMAAAV30','SKOLEMAAAV28','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[66,203]) ).
cnf(360,plain,
~ cyclic('SKOLEMAAAV21','SKOLEMAAAV31','SKOLEMAAAV28','SKOLEMAAAV25'),
inference('UR-RESOLVE',[status(thm)],[13,212]) ).
cnf(471,plain,
coll('SKOLEMAAAV31','SKOLEMAAAV31','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[2,264,264]) ).
cnf(476,plain,
coll('SKOLEMAAAV31','SKOLEMAAAV31','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[2,271,271]) ).
cnf(483,plain,
coll('SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV30'),
inference('HYPERRESOLVE',[status(thm)],[2,317,317]) ).
cnf(748,plain,
~ cyclic('SKOLEMAAAV31','SKOLEMAAAV21','SKOLEMAAAV28','SKOLEMAAAV25'),
inference('UR-RESOLVE',[status(thm)],[15,360]) ).
cnf(1199,plain,
coll('SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV31'),
inference('HYPERRESOLVE',[status(thm)],[2,471,471]) ).
cnf(1211,plain,
coll('SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV31'),
inference('HYPERRESOLVE',[status(thm)],[2,476,471]) ).
cnf(1234,plain,
coll('SKOLEMAAAV30','SKOLEMAAAV30','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[2,483,483]) ).
cnf(1372,plain,
~ cyclic('SKOLEMAAAV31','SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV25'),
inference('UR-RESOLVE',[status(thm)],[14,748]) ).
cnf(2327,plain,
coll('SKOLEMAAAV31','SKOLEMAAAV30','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[2,1199,483]) ).
cnf(2395,plain,
coll('SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV30'),
inference('HYPERRESOLVE',[status(thm)],[2,1234,164]) ).
cnf(2635,plain,
~ cyclic('SKOLEMAAAV31','SKOLEMAAAV28','SKOLEMAAAV25','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[13,1372]) ).
cnf(2637,plain,
coll('SKOLEMAAAV30','SKOLEMAAAV28','SKOLEMAAAV31'),
inference('HYPERRESOLVE',[status(thm)],[1,2327]) ).
cnf(2902,plain,
coll('SKOLEMAAAV28','SKOLEMAAAV30','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[1,2395]) ).
cnf(4197,plain,
coll('SKOLEMAAAV21','SKOLEMAAAV31','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[2,2902,2637]) ).
cnf(5198,plain,
eqangle('SKOLEMAAAV28','SKOLEMAAAV31','SKOLEMAAAV28','SKOLEMAAAV31',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,265]) ).
cnf(8825,plain,
coll('SKOLEMAAAV21','SKOLEMAAAV28','SKOLEMAAAV31'),
inference('HYPERRESOLVE',[status(thm)],[1,4197]) ).
cnf(13033,plain,
cyclic('SKOLEMAAAV31','SKOLEMAAAV31','SKOLEMAAAV28','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[42,5198,1211]) ).
cnf(13065,plain,
~ cyclic('SKOLEMAAAV31','SKOLEMAAAV31','SKOLEMAAAV28','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[16,13033,2635]) ).
cnf(13086,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[42,13065,5198]),8825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO628+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n003.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 Jun 17 23:06:27 EDT 2022
% 0.12/0.34 % 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 2022-06-17T23:06:28
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-17T23:06:28
% 0.18/0.50
% 0.18/0.51 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.51 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 38.49/38.72 ; Declaring coll to be commutative.
% 38.49/38.72
% 38.49/38.72 #||
% 38.49/38.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.49/38.72 % SZS output start Refutation
% See solution above
% 38.62/38.78 ||#
% 38.62/38.78
% 38.62/38.78 ; Summary of computation:
% 38.62/38.78 ; 51560 formulas have been input or derived (from 1342 formulas).
% 38.62/38.78 ; 13086 (25%) were retained. Of these,
% 38.62/38.78 ; 16 ( 0%) were simplified or subsumed later,
% 38.62/38.78 ; 13070 (100%) are still being kept.
% 38.62/38.78 ;
% 38.62/38.78 ; Run time in seconds excluding printing time:
% 38.62/38.78 ; 0.031 0% Read assertion file (1 call)
% 38.62/38.78 ; 0.005 0% Assert (95 calls)
% 38.62/38.78 ; 0.602 2% Process new row (50,084 calls)
% 38.62/38.78 ; 36.930 97% Resolution (2,682 calls)
% 38.62/38.78 ; 0.009 0% Paramodulation (1,341 calls)
% 38.62/38.78 ; 0.004 0% Condensing (141 calls)
% 38.62/38.78 ; 0.002 0% Forward subsumption (141 calls)
% 38.62/38.78 ; 0.006 0% Backward subsumption (140 calls)
% 38.62/38.78 ; 0.001 0% Clause clause subsumption (152 calls)
% 38.62/38.78 ; 0.240 1% Forward simplification (50,084 calls)
% 38.62/38.78 ; 0.252 1% Backward simplification (13,086 calls)
% 38.62/38.78 ; 0.000 0% Ordering (60 calls)
% 38.62/38.78 ; 0.001 0% Sortal reasoning (32 calls)
% 38.62/38.78 ; 0.000 0% Purity testing (1 call)
% 38.62/38.78 ; 0.175 0% Other
% 38.62/38.78 ; 38.258 Total
% 38.62/38.78 ; 38.318 Real time
% 38.62/38.78 ;
% 38.62/38.78 ; Term-hash-array has 18,082 terms in all.
% 38.62/38.78 ; Feature-vector-row-index has 140 entries (140 at peak, 140 added, 0 deleted).
% 38.62/38.78 ; Feature-vector-row-index has 341 nodes (341 at peak, 341 added, 0 deleted).
% 38.62/38.78 ; Retrieved 140 possibly forward subsuming rows in 141 calls.
% 38.62/38.78 ; Retrieved 46 possibly backward subsumed rows in 140 calls.
% 38.62/38.78 ; Path-index has 18,079 entries (18,079 at peak, 18,095 added, 16 deleted).
% 38.62/38.78 ; Path-index has 1,660 nodes (1,660 at peak, 1,660 added, 0 deleted).
% 38.62/38.78 ; Trie-index has 18,079 entries (18,079 at peak, 18,095 added, 16 deleted).
% 38.62/38.78 ; Trie-index has 41,544 nodes (41,544 at peak, 41,609 added, 65 deleted).
% 38.62/38.78 ; Retrieved 37,024 generalization terms in 50,022 calls.
% 38.62/38.78 ; Retrieved 13,378 instance terms in 12,945 calls.
% 38.62/38.78 ; Retrieved 43,209,611 unifiable terms in 1,881,183 calls.
% 38.62/38.78 ;
% 38.62/38.78 ; The agenda of rows to process has 4 entries:
% 38.62/38.78 ; 1 with value 13 3 with value 14
% 38.62/38.78 ; The agenda of rows to give has 11728 entries:
% 38.62/38.78 ; 841 with value (4 14) 1724 with value (4 20) 3 with value (4 26)
% 38.62/38.78 ; 323 with value (4 15) 5413 with value (4 21) 6 with value (4 27)
% 38.62/38.78 ; 389 with value (4 16) 20 with value (4 22) 21 with value (4 29)
% 38.62/38.78 ; 576 with value (4 17) 21 with value (4 24) 28 with value (4 30)
% 38.62/38.78 ; 1463 with value (4 18) 18 with value (4 25) 4 with value (4 31)
% 38.62/38.78 ; 878 with value (4 19)
% 38.62/38.78 Evaluation took:
% 38.62/38.78 38.319 seconds of real time
% 38.62/38.78 37.95466 seconds of user run time
% 38.62/38.78 0.368076 seconds of system run time
% 38.62/38.78 [Run times include 1.354 seconds GC run time.]
% 38.62/38.78 0 calls to %EVAL
% 38.62/38.78 0 page faults and
% 38.62/38.78 1,878,189,928 bytes consed.
% 38.62/38.78 :PROOF-FOUND
% 38.62/38.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:07:06
% 38.62/38.78 :PROOF-FOUND
% 38.62/38.78 *
%------------------------------------------------------------------------------