TSTP Solution File: GEO591+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 06:16:52 EDT 2022
% Result : Theorem 20.26s 20.43s
% Output : Refutation 20.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of clauses : 48 ( 24 unt; 0 nHn; 29 RR)
% Number of literals : 87 ( 0 equ; 43 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 : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 156 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ coll(X,Y,Z)
| ~ coll(X,Y,U)
| coll(Z,U,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
cnf(7,axiom,
( ~ perp(X,Y,Z,U)
| perp(Z,U,X,Y) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(22,axiom,
( ~ cong(X,Y,Z,U)
| cong(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
cnf(23,axiom,
( ~ cong(X,Y,Z,U)
| cong(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
cnf(38,axiom,
( ~ eqangle(X,Y,Z,U,V,W,Z,U)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAW16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(115,negated_conjecture,
perp('SKOLEMAAAW21','SKOLEMAAAW22','SKOLEMAAAW22','SKOLEMAAAW26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416053) ).
cnf(119,negated_conjecture,
~ cong('SKOLEMAAAW21','SKOLEMAAAW25','SKOLEMAAAW21','SKOLEMAAAW26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416053) ).
cnf(128,plain,
perp('SKOLEMAAAW22','SKOLEMAAAW26','SKOLEMAAAW21','SKOLEMAAAW22'),
inference('HYPERRESOLVE',[status(thm)],[7,115]) ).
cnf(131,plain,
~ cong('SKOLEMAAAW21','SKOLEMAAAW25','SKOLEMAAAW26','SKOLEMAAAW21'),
inference('UR-RESOLVE',[status(thm)],[22,119]) ).
cnf(178,plain,
para('SKOLEMAAAW22','SKOLEMAAAW26','SKOLEMAAAW22','SKOLEMAAAW26'),
inference('HYPERRESOLVE',[status(thm)],[8,128,115]) ).
cnf(190,plain,
~ cong('SKOLEMAAAW26','SKOLEMAAAW21','SKOLEMAAAW21','SKOLEMAAAW25'),
inference('UR-RESOLVE',[status(thm)],[23,131]) ).
cnf(256,plain,
eqangle('SKOLEMAAAW22','SKOLEMAAAW26',X,Y,'SKOLEMAAAW22','SKOLEMAAAW26',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,178]) ).
cnf(302,plain,
~ cong('SKOLEMAAAW26','SKOLEMAAAW21','SKOLEMAAAW25','SKOLEMAAAW21'),
inference('UR-RESOLVE',[status(thm)],[22,190]) ).
cnf(3364,plain,
eqangle('SKOLEMAAAW22','SKOLEMAAAW26','SKOLEMAAAW22','SKOLEMAAAW26',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,256]) ).
cnf(3365,plain,
eqangle(X,Y,'SKOLEMAAAW22','SKOLEMAAAW26',X,Y,'SKOLEMAAAW22','SKOLEMAAAW26'),
inference('HYPERRESOLVE',[status(thm)],[18,256]) ).
cnf(8018,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,3365]) ).
cnf(8024,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,8018]) ).
cnf(8028,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,8024,8024]) ).
cnf(10538,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,8028,8028]) ).
cnf(10542,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,10538]) ).
cnf(10544,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,10538]) ).
cnf(10549,plain,
cyclic('SKOLEMAAAW26','SKOLEMAAAW26','SKOLEMAAAW22',X),
inference('HYPERRESOLVE',[status(thm)],[10544,3364]) ).
cnf(10559,plain,
cyclic('SKOLEMAAAW26','SKOLEMAAAW22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,10549,10549]) ).
cnf(10577,plain,
cyclic('SKOLEMAAAW22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,10559,10559]) ).
cnf(10777,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,10577,10577]) ).
cnf(10778,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,10777]) ).
cnf(10779,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAW16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,10777]) ).
cnf(10780,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,10777]) ).
cnf(10781,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,10777]) ).
cnf(10813,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[10781,10780]) ).
cnf(10859,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[10778,10813,10813]) ).
cnf(10864,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,10859]) ).
cnf(10866,plain,
circle('SKOLEMAAAW16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[10779,10859]) ).
cnf(10884,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[10542,10866,10780]) ).
cnf(10934,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[10864,10884,302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.15 % Command : run-snark %s %d
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Fri Jun 17 22:54:14 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.51 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.52 *
% 0.23/0.52 *
% 0.23/0.53 #<PACKAGE "SNARK-USER">
% 0.23/0.53 *
% 0.23/0.53 SNARK-TPTP-OPTIONS
% 0.23/0.53 *
% 0.23/0.53 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.53 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.53 (USE-FACTORING :POS)
% 0.23/0.53 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.53 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.53 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.53 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.53 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.53 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.53 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.53 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.53 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.53 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.53 *
% 0.23/0.53 "."
% 0.23/0.53 *
% 0.23/0.53 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T22:54:14
% 0.23/0.53 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-17T22:54:14
% 0.40/0.57
% 0.40/0.57 WARNING: In quantification, variable ?M is being rebound.
% 0.40/0.57 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 20.26/20.43 ; Declaring coll to be commutative.
% 20.26/20.43
% 20.26/20.43 #||
% 20.26/20.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.26/20.43 % SZS output start Refutation
% See solution above
% 20.26/20.43 ||#
% 20.26/20.43
% 20.26/20.43 ; Summary of computation:
% 20.26/20.43 ; 65405 formulas have been input or derived (from 879 formulas).
% 20.26/20.43 ; 10934 (17%) were retained. Of these,
% 20.26/20.43 ; 10343 (95%) were simplified or subsumed later,
% 20.26/20.43 ; 591 ( 5%) are still being kept.
% 20.26/20.43 ;
% 20.26/20.43 ; Run time in seconds excluding printing time:
% 20.26/20.43 ; 0.031 0% Read assertion file (1 call)
% 20.26/20.43 ; 0.005 0% Assert (95 calls)
% 20.26/20.43 ; 0.686 3% Process new row (63,461 calls)
% 20.26/20.43 ; 17.559 88% Resolution (1,756 calls)
% 20.26/20.43 ; 0.007 0% Paramodulation (878 calls)
% 20.26/20.43 ; 0.002 0% Condensing (161 calls)
% 20.26/20.43 ; 0.002 0% Forward subsumption (161 calls)
% 20.26/20.43 ; 0.003 0% Backward subsumption (160 calls)
% 20.26/20.43 ; 0.004 0% Clause clause subsumption (179 calls)
% 20.26/20.43 ; 0.350 2% Forward simplification (46,054 calls)
% 20.26/20.43 ; 0.994 5% Backward simplification (10,934 calls)
% 20.26/20.43 ; 0.000 0% Ordering (64 calls)
% 20.26/20.43 ; 0.000 0% Sortal reasoning (32 calls)
% 20.26/20.43 ; 0.001 0% Purity testing (1 call)
% 20.26/20.43 ; 0.259 1% Other
% 20.26/20.43 ; 19.903 Total
% 20.26/20.43 ; 19.905 Real time
% 20.26/20.43 ;
% 20.26/20.43 ; Term-hash-array has 15,214 terms in all.
% 20.26/20.43 ; Feature-vector-row-index has 72 entries (135 at peak, 160 added, 88 deleted).
% 20.26/20.43 ; Feature-vector-row-index has 97 nodes (320 at peak, 385 added, 288 deleted).
% 20.26/20.43 ; Retrieved 159 possibly forward subsuming rows in 161 calls.
% 20.26/20.43 ; Retrieved 58 possibly backward subsumed rows in 160 calls.
% 20.26/20.43 ; Path-index has 758 entries (11,647 at peak, 15,291 added, 14,533 deleted).
% 20.26/20.43 ; Path-index has 2,121 nodes (4,087 at peak, 4,659 added, 2,538 deleted).
% 20.26/20.43 ; Trie-index has 758 entries (11,647 at peak, 15,291 added, 14,533 deleted).
% 20.26/20.43 ; Trie-index has 3,119 nodes (53,635 at peak, 67,326 added, 64,207 deleted).
% 20.26/20.43 ; Retrieved 46,297 generalization terms in 46,026 calls.
% 20.26/20.43 ; Retrieved 41,535 instance terms in 10,773 calls.
% 20.26/20.43 ; Retrieved 21,969,182 unifiable terms in 821,937 calls.
% 20.26/20.43 ;
% 20.26/20.43 ; The agenda of rows to process has 72 entries:
% 20.26/20.43 ; 1 with value 7 12 with value 12 6 with value 18
% 20.26/20.43 ; 20 with value 8 4 with value 14 4 with value 19
% 20.26/20.43 ; 6 with value 9 14 with value 15 1 with value 21
% 20.26/20.43 ; 4 with value 11
% 20.26/20.43 ; The agenda of rows to give has 434 entries:
% 20.26/20.43 ; 3 with value (4 7) 95 with value (4 14) 7 with value (4 20)
% 20.26/20.43 ; 9 with value (4 8) 161 with value (4 15) 18 with value (4 21)
% 20.26/20.43 ; 4 with value (4 9) 30 with value (4 16) 2 with value (4 22)
% 20.26/20.43 ; 3 with value (4 10) 15 with value (4 17) 1 with value (4 24)
% 20.26/20.43 ; 5 with value (4 11) 32 with value (4 18) 2 with value (4 28)
% 20.26/20.43 ; 11 with value (4 12) 20 with value (4 19) 2 with value (4 29)
% 20.26/20.43 ; 14 with value (4 13)
% 20.26/20.43 Evaluation took:
% 20.26/20.43 19.906 seconds of real time
% 20.26/20.43 19.447468 seconds of user run time
% 20.26/20.43 0.459879 seconds of system run time
% 20.26/20.43 [Run times include 1.166 seconds GC run time.]
% 20.26/20.43 0 calls to %EVAL
% 20.26/20.43 0 page faults and
% 20.26/20.43 1,019,125,248 bytes consed.
% 20.26/20.43 :PROOF-FOUND
% 20.26/20.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T22:54:34
% 20.26/20.43 :PROOF-FOUND
% 20.26/20.43 *
%------------------------------------------------------------------------------