%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 06:17:00 EDT 2022
% Result : Theorem 6.54s 6.75s
% Output : Refutation 6.54s
% 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/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(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(22,axiom,
( ~ cong(X,Y,Z,U)
| cong(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
cnf(23,axiom,
( ~ cong(X,Y,Z,U)
| cong(Z,U,X,Y) ),
file('/export/starexec/sandbox2/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/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(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(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(115,negated_conjecture,
perp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV26'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618080) ).
cnf(117,negated_conjecture,
~ cong('SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV24'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618080) ).
cnf(124,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,115]) ).
cnf(125,plain,
~ cong('SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[22,117]) ).
cnf(154,plain,
para('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[8,124,115]) ).
cnf(162,plain,
~ cong('SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[23,125]) ).
cnf(182,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV26',X,Y,'SKOLEMAAAV21','SKOLEMAAAV26',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,154]) ).
cnf(188,plain,
~ cong('SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[22,162]) ).
cnf(2683,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV26',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,182]) ).
cnf(2684,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV26',X,Y,'SKOLEMAAAV21','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[18,182]) ).
cnf(3986,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2684]) ).
cnf(3992,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3986]) ).
cnf(3995,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,3992,3992]) ).
cnf(5209,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,3995,3995]) ).
cnf(5213,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,5209]) ).
cnf(5215,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,5209]) ).
cnf(5231,plain,
cyclic('SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[5215,2683]) ).
cnf(5241,plain,
cyclic('SKOLEMAAAV26','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,5231,5231]) ).
cnf(5262,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,5241,5241]) ).
cnf(5285,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,5262,5262]) ).
cnf(5286,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,5285]) ).
cnf(5287,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,5285]) ).
cnf(5288,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,5285]) ).
cnf(5289,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,5285]) ).
cnf(5330,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[5289,5288]) ).
cnf(5376,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[5286,5330,5330]) ).
cnf(5381,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,5376]) ).
cnf(5383,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[5287,5376]) ).
cnf(5402,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[5213,5383,5288]) ).
cnf(5426,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[5381,5402,188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n004.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
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 06:49:23 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T06:49:24
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T06:49:24
% 0.22/0.56
% 0.22/0.56 WARNING: In quantification, variable ?M is being rebound.
% 0.22/0.56 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 6.54/6.75 ; Declaring coll to be commutative.
% 6.54/6.75
% 6.54/6.75 #||
% 6.54/6.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.54/6.75 % SZS output start Refutation
% See solution above
% 6.54/6.75 ||#
% 6.54/6.75
% 6.54/6.75 ; Summary of computation:
% 6.54/6.75 ; 35750 formulas have been input or derived (from 546 formulas).
% 6.54/6.75 ; 5426 (15%) were retained. Of these,
% 6.54/6.75 ; 5015 (92%) were simplified or subsumed later,
% 6.54/6.75 ; 411 ( 8%) are still being kept.
% 6.54/6.75 ;
% 6.54/6.75 ; Run time in seconds excluding printing time:
% 6.54/6.75 ; 0.031 0% Read assertion file (1 call)
% 6.54/6.75 ; 0.006 0% Assert (95 calls)
% 6.54/6.75 ; 0.327 5% Process new row (34,615 calls)
% 6.54/6.75 ; 5.323 85% Resolution (1,090 calls)
% 6.54/6.75 ; 0.006 0% Paramodulation (545 calls)
% 6.54/6.75 ; 0.002 0% Condensing (150 calls)
% 6.54/6.75 ; 0.005 0% Forward subsumption (150 calls)
% 6.54/6.75 ; 0.004 0% Backward subsumption (148 calls)
% 6.54/6.75 ; 0.002 0% Clause clause subsumption (180 calls)
% 6.54/6.75 ; 0.117 2% Forward simplification (22,841 calls)
% 6.54/6.75 ; 0.289 5% Backward simplification (5,426 calls)
% 6.54/6.75 ; 0.000 0% Ordering (40 calls)
% 6.54/6.75 ; 0.001 0% Sortal reasoning (32 calls)
% 6.54/6.75 ; 0.000 0% Purity testing (1 call)
% 6.54/6.75 ; 0.118 2% Other
% 6.54/6.75 ; 6.231 Total
% 6.54/6.75 ; 6.235 Real time
% 6.54/6.75 ;
% 6.54/6.75 ; Term-hash-array has 7,528 terms in all.
% 6.54/6.75 ; Feature-vector-row-index has 72 entries (127 at peak, 148 added, 76 deleted).
% 6.54/6.75 ; Feature-vector-row-index has 97 nodes (273 at peak, 296 added, 199 deleted).
% 6.54/6.75 ; Retrieved 160 possibly forward subsuming rows in 150 calls.
% 6.54/6.75 ; Retrieved 58 possibly backward subsumed rows in 148 calls.
% 6.54/6.75 ; Path-index has 498 entries (5,627 at peak, 7,561 added, 7,063 deleted).
% 6.54/6.75 ; Path-index has 1,810 nodes (2,537 at peak, 2,954 added, 1,144 deleted).
% 6.54/6.75 ; Trie-index has 498 entries (5,627 at peak, 7,561 added, 7,063 deleted).
% 6.54/6.75 ; Trie-index has 2,049 nodes (18,288 at peak, 24,311 added, 22,262 deleted).
% 6.54/6.75 ; Retrieved 22,949 generalization terms in 22,793 calls.
% 6.54/6.75 ; Retrieved 20,532 instance terms in 5,277 calls.
% 6.54/6.75 ; Retrieved 8,503,333 unifiable terms in 324,958 calls.
% 6.54/6.75 ;
% 6.54/6.75 ; The agenda of rows to process has 83 entries:
% 6.54/6.75 ; 1 with value 7 1 with value 13 8 with value 18
% 6.54/6.75 ; 16 with value 8 6 with value 14 6 with value 19
% 6.54/6.75 ; 1 with value 10 14 with value 15 1 with value 21
% 6.54/6.75 ; 8 with value 11 1 with value 16 4 with value 24
% 6.54/6.75 ; 12 with value 12 4 with value 17
% 6.54/6.75 ; The agenda of rows to give has 274 entries:
% 6.54/6.75 ; 2 with value (4 7) 15 with value (4 13) 22 with value (4 19)
% 6.54/6.75 ; 8 with value (4 8) 73 with value (4 14) 7 with value (4 20)
% 6.54/6.75 ; 3 with value (4 9) 65 with value (4 15) 2 with value (4 22)
% 6.54/6.75 ; 4 with value (4 10) 18 with value (4 16) 2 with value (4 23)
% 6.54/6.75 ; 5 with value (4 11) 18 with value (4 17) 2 with value (4 27)
% 6.54/6.75 ; 10 with value (4 12) 16 with value (4 18) 2 with value (4 29)
% 6.54/6.75 Evaluation took:
% 6.54/6.75 6.236 seconds of real time
% 6.54/6.75 6.038918 seconds of user run time
% 6.54/6.75 0.196614 seconds of system run time
% 6.54/6.75 [Run times include 0.326 seconds GC run time.]
% 6.54/6.75 0 calls to %EVAL
% 6.54/6.75 0 page faults and
% 6.54/6.75 398,952,848 bytes consed.
% 6.54/6.75 :PROOF-FOUND
% 6.54/6.75 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T06:49:30
% 6.54/6.75 :PROOF-FOUND
% 6.54/6.75 *
%------------------------------------------------------------------------------