TSTP Solution File: GEO586+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 06:16:51 EDT 2022
% Result : Theorem 7.52s 7.68s
% Output : Refutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of clauses : 51 ( 26 unt; 0 nHn; 30 RR)
% Number of literals : 92 ( 0 equ; 44 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 167 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
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(6,axiom,
( ~ perp(X,Y,Z,U)
| perp(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(18,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Z,U,X,Y,X1,Y1,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
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(38,axiom,
( ~ eqangle(X,Y,Z,U,V,W,Z,U)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
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(40,axiom,
( ~ cyclic(X,Y,Z,U)
| eqangle(Z,X,Z,Y,U,X,U,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(43,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| ~ cyclic(X,Y,Z,W)
| ~ eqangle(Z,X,Z,Y,W,U,W,V)
| cong(X,Y,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
cnf(51,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(V,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
cnf(52,axiom,
( ~ perp(X,Y,Y,Z)
| ~ midp(U,X,Z)
| cong(X,U,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
cnf(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
cnf(57,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| ~ cyclic(X,Z,Y,U)
| perp(Y,X,X,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(98,axiom,
( ~ circle(X,Y,Z,U)
| perp('SKOLEMAAAV12'(X,Y,Z,U),Y,Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(113,negated_conjecture,
circle('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV28'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416048) ).
cnf(117,negated_conjecture,
~ perp('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416048) ).
cnf(123,plain,
~ perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[7,117]) ).
cnf(128,plain,
perp('SKOLEMAAAV12'('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV28'),'SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[98,113]) ).
cnf(144,plain,
~ perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[6,123]) ).
cnf(201,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV12'('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV28'),'SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[7,128]) ).
cnf(231,plain,
para('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[8,201,128]) ).
cnf(245,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV24',X,Y,'SKOLEMAAAV21','SKOLEMAAAV24',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,231]) ).
cnf(1076,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV24',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,245]) ).
cnf(1077,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV24',X,Y,'SKOLEMAAAV21','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[18,245]) ).
cnf(2297,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1077]) ).
cnf(2303,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,2297]) ).
cnf(2307,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,2303,2303]) ).
cnf(5040,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,2307,2307]) ).
cnf(5044,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,5040]) ).
cnf(5046,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,5040]) ).
cnf(5051,plain,
cyclic('SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[5046,1076]) ).
cnf(5101,plain,
cyclic('SKOLEMAAAV24','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,5051,5051]) ).
cnf(5139,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,5101,5101]) ).
cnf(5302,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,5139,5139]) ).
cnf(5303,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,5302]) ).
cnf(5304,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,5302]) ).
cnf(5305,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,5302]) ).
cnf(5306,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,5302]) ).
cnf(5333,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[5306,5305]) ).
cnf(5384,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[5303,5333,5333]) ).
cnf(5389,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,5384]) ).
cnf(5391,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[5304,5384]) ).
cnf(5395,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[5044,5391,5305]) ).
cnf(5437,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[5389,5395]) ).
cnf(5438,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,5437]) ).
cnf(5439,plain,
$false,
inference('REWRITE',[status(thm)],[144,5438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 12:13:44 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.23/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51 *
% 0.23/0.51 *
% 0.23/0.51 #<PACKAGE "SNARK-USER">
% 0.23/0.51 *
% 0.23/0.51 SNARK-TPTP-OPTIONS
% 0.23/0.51 *
% 0.23/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52 (USE-FACTORING :POS)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52 *
% 0.23/0.52 "."
% 0.23/0.52 *
% 0.23/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:13:44
% 0.23/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-18T12:13:44
% 0.23/0.56
% 0.23/0.56 WARNING: In quantification, variable ?M is being rebound.
% 0.23/0.56 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 7.52/7.68 ; Declaring coll to be commutative.
% 7.52/7.68
% 7.52/7.68 #||
% 7.52/7.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.52/7.68 % SZS output start Refutation
% See solution above
% 7.52/7.68 ||#
% 7.52/7.68
% 7.52/7.68 ; Summary of computation:
% 7.52/7.68 ; 41790 formulas have been input or derived (from 566 formulas).
% 7.52/7.68 ; 5439 (13%) were retained. Of these,
% 7.52/7.68 ; 4945 (91%) were simplified or subsumed later,
% 7.52/7.68 ; 494 ( 9%) are still being kept.
% 7.52/7.68 ;
% 7.52/7.68 ; Run time in seconds excluding printing time:
% 7.52/7.68 ; 0.031 0% Read assertion file (1 call)
% 7.52/7.68 ; 0.003 0% Assert (95 calls)
% 7.52/7.68 ; 0.302 4% Process new row (40,978 calls)
% 7.52/7.68 ; 6.250 87% Resolution (1,130 calls)
% 7.52/7.68 ; 0.005 0% Paramodulation (565 calls)
% 7.52/7.68 ; 0.004 0% Condensing (142 calls)
% 7.52/7.68 ; 0.001 0% Forward subsumption (142 calls)
% 7.52/7.68 ; 0.003 0% Backward subsumption (140 calls)
% 7.52/7.68 ; 0.001 0% Clause clause subsumption (180 calls)
% 7.52/7.68 ; 0.121 2% Forward simplification (24,645 calls)
% 7.52/7.68 ; 0.307 4% Backward simplification (5,439 calls)
% 7.52/7.68 ; 0.000 0% Ordering (24 calls)
% 7.52/7.68 ; 0.000 0% Sortal reasoning (32 calls)
% 7.52/7.68 ; 0.001 0% Purity testing (1 call)
% 7.52/7.68 ; 0.137 2% Other
% 7.52/7.68 ; 7.166 Total
% 7.52/7.68 ; 7.169 Real time
% 7.52/7.69 ;
% 7.52/7.69 ; Term-hash-array has 7,665 terms in all.
% 7.52/7.69 ; Feature-vector-row-index has 60 entries (119 at peak, 140 added, 80 deleted).
% 7.52/7.69 ; Feature-vector-row-index has 78 nodes (209 at peak, 232 added, 154 deleted).
% 7.52/7.69 ; Retrieved 160 possibly forward subsuming rows in 142 calls.
% 7.52/7.69 ; Retrieved 58 possibly backward subsumed rows in 140 calls.
% 7.52/7.69 ; Path-index has 582 entries (6,254 at peak, 7,700 added, 7,118 deleted).
% 7.52/7.69 ; Path-index has 1,236 nodes (1,750 at peak, 2,313 added, 1,077 deleted).
% 7.52/7.69 ; Trie-index has 582 entries (6,254 at peak, 7,700 added, 7,118 deleted).
% 7.52/7.69 ; Trie-index has 2,281 nodes (17,106 at peak, 21,341 added, 19,060 deleted).
% 7.52/7.69 ; Retrieved 30,588 generalization terms in 24,582 calls.
% 7.52/7.69 ; Retrieved 17,054 instance terms in 5,298 calls.
% 7.52/7.69 ; Retrieved 9,846,590 unifiable terms in 536,023 calls.
% 7.52/7.69 ;
% 7.52/7.69 ; The agenda of backward simplifiable rows to process has 8 entries:
% 7.52/7.69 ; 8 with value 0
% 7.52/7.69 ; The agenda of rows to process has 60 entries:
% 7.52/7.69 ; 11 with value 8 4 with value 14 4 with value 19
% 7.52/7.69 ; 1 with value 9 14 with value 15 1 with value 20
% 7.52/7.69 ; 14 with value 12 6 with value 18 1 with value 21
% 7.52/7.69 ; 4 with value 13
% 7.52/7.69 ; The agenda of input rows to give has 1 entry:
% 7.52/7.69 ; 1 with value 6
% 7.52/7.69 ; The agenda of rows to give has 371 entries:
% 7.52/7.69 ; 2 with value (4 7) 81 with value (4 15) 6 with value (4 21)
% 7.52/7.69 ; 7 with value (4 8) 17 with value (4 16) 8 with value (4 22)
% 7.52/7.69 ; 3 with value (4 11) 12 with value (4 17) 17 with value (4 23)
% 7.52/7.69 ; 8 with value (4 12) 44 with value (4 18) 2 with value (4 25)
% 7.52/7.69 ; 5 with value (4 13) 82 with value (4 19) 2 with value (4 29)
% 7.52/7.69 ; 21 with value (4 14) 54 with value (4 20)
% 7.52/7.69 Evaluation took:
% 7.52/7.69 7.17 seconds of real time
% 7.52/7.69 6.971723 seconds of user run time
% 7.52/7.69 0.198057 seconds of system run time
% 7.52/7.69 [Run times include 0.314 seconds GC run time.]
% 7.52/7.69 0 calls to %EVAL
% 7.52/7.69 0 page faults and
% 7.52/7.69 516,174,968 bytes consed.
% 7.52/7.69 :PROOF-FOUND
% 7.52/7.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:13:51
% 7.52/7.70 :PROOF-FOUND
% 7.52/7.70 *
%------------------------------------------------------------------------------