%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO622+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 06:17:01 EDT 2022
% Result : Theorem 6.33s 6.59s
% Output : Refutation 6.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of clauses : 47 ( 24 unt; 0 nHn; 26 RR)
% Number of literals : 86 ( 0 equ; 41 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 : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 159 ( 28 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(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(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox/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/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('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(115,negated_conjecture,
perp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110985) ).
cnf(117,negated_conjecture,
~ perp('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110985) ).
cnf(124,plain,
perp('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,115]) ).
cnf(125,plain,
~ perp('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[7,117]) ).
cnf(153,plain,
para('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[8,124,115]) ).
cnf(185,plain,
eqangle('SKOLEMAAAV27','SKOLEMAAAV26',X,Y,'SKOLEMAAAV27','SKOLEMAAAV26',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,153]) ).
cnf(1959,plain,
eqangle('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,185]) ).
cnf(1960,plain,
eqangle(X,Y,'SKOLEMAAAV27','SKOLEMAAAV26',X,Y,'SKOLEMAAAV27','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[18,185]) ).
cnf(3397,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1960]) ).
cnf(3403,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3397]) ).
cnf(3406,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,3403,3403]) ).
cnf(4814,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,3406,3406]) ).
cnf(4818,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,4814]) ).
cnf(4820,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,4814]) ).
cnf(4832,plain,
cyclic('SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV27',X),
inference('HYPERRESOLVE',[status(thm)],[4820,1959]) ).
cnf(4836,plain,
cyclic('SKOLEMAAAV26','SKOLEMAAAV27',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,4832,4832]) ).
cnf(4842,plain,
cyclic('SKOLEMAAAV27',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,4836,4836]) ).
cnf(4869,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,4842,4842]) ).
cnf(4870,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,4869]) ).
cnf(4871,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,4869]) ).
cnf(4872,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,4869]) ).
cnf(4873,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,4869]) ).
cnf(4905,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[4873,4872]) ).
cnf(4935,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[4870,4905,4905]) ).
cnf(4940,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,4935]) ).
cnf(4942,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[4871,4935]) ).
cnf(4946,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[4818,4942,4872]) ).
cnf(4986,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[4940,4946]) ).
cnf(4987,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,4986]) ).
cnf(4988,plain,
$false,
inference('REWRITE',[status(thm)],[125,4987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO622+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 06:40:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T06:40:54
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T06:40:54
% 0.18/0.51
% 0.18/0.51 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 0.18/0.52 WARNING:
% 0.18/0.52 |midpoint| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 6.33/6.59 ; Declaring coll to be commutative.
% 6.33/6.59
% 6.33/6.59 #||
% 6.33/6.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.33/6.59 % SZS output start Refutation
% See solution above
% 6.42/6.60 ||#
% 6.42/6.60
% 6.42/6.60 ; Summary of computation:
% 6.42/6.60 ; 35443 formulas have been input or derived (from 563 formulas).
% 6.42/6.60 ; 4988 (14%) were retained. Of these,
% 6.42/6.60 ; 4531 (91%) were simplified or subsumed later,
% 6.42/6.60 ; 457 ( 9%) are still being kept.
% 6.42/6.60 ;
% 6.42/6.60 ; Run time in seconds excluding printing time:
% 6.42/6.60 ; 0.031 1% Read assertion file (1 call)
% 6.42/6.60 ; 0.006 0% Assert (95 calls)
% 6.42/6.60 ; 0.246 4% Process new row (34,626 calls)
% 6.42/6.60 ; 5.322 87% Resolution (1,124 calls)
% 6.42/6.60 ; 0.004 0% Paramodulation (562 calls)
% 6.42/6.60 ; 0.001 0% Condensing (148 calls)
% 6.42/6.60 ; 0.000 0% Forward subsumption (148 calls)
% 6.42/6.60 ; 0.001 0% Backward subsumption (146 calls)
% 6.42/6.60 ; 0.004 0% Clause clause subsumption (180 calls)
% 6.42/6.60 ; 0.123 2% Forward simplification (22,046 calls)
% 6.42/6.60 ; 0.265 4% Backward simplification (4,988 calls)
% 6.42/6.60 ; 0.000 0% Ordering (36 calls)
% 6.42/6.60 ; 0.000 0% Sortal reasoning (32 calls)
% 6.42/6.60 ; 0.000 0% Purity testing (1 call)
% 6.42/6.60 ; 0.121 2% Other
% 6.42/6.60 ; 6.124 Total
% 6.42/6.60 ; 6.129 Real time
% 6.42/6.60 ;
% 6.42/6.60 ; Term-hash-array has 6,927 terms in all.
% 6.42/6.60 ; Feature-vector-row-index has 60 entries (125 at peak, 146 added, 86 deleted).
% 6.42/6.60 ; Feature-vector-row-index has 78 nodes (258 at peak, 281 added, 203 deleted).
% 6.42/6.60 ; Retrieved 160 possibly forward subsuming rows in 148 calls.
% 6.42/6.60 ; Retrieved 58 possibly backward subsumed rows in 146 calls.
% 6.42/6.60 ; Path-index has 512 entries (5,394 at peak, 6,961 added, 6,449 deleted).
% 6.42/6.60 ; Path-index has 888 nodes (1,286 at peak, 1,660 added, 772 deleted).
% 6.42/6.60 ; Trie-index has 512 entries (5,394 at peak, 6,961 added, 6,449 deleted).
% 6.42/6.60 ; Trie-index has 1,891 nodes (13,982 at peak, 17,919 added, 16,028 deleted).
% 6.42/6.60 ; Retrieved 23,465 generalization terms in 21,983 calls.
% 6.42/6.60 ; Retrieved 19,752 instance terms in 4,841 calls.
% 6.42/6.60 ; Retrieved 8,412,132 unifiable terms in 343,259 calls.
% 6.42/6.60 ;
% 6.42/6.60 ; The agenda of backward simplifiable rows to process has 8 entries:
% 6.42/6.60 ; 8 with value 0
% 6.42/6.60 ; The agenda of rows to process has 65 entries:
% 6.42/6.60 ; 11 with value 8 12 with value 15 8 with value 18
% 6.42/6.60 ; 6 with value 11 1 with value 16 6 with value 19
% 6.42/6.60 ; 12 with value 12 4 with value 17 1 with value 21
% 6.42/6.60 ; 4 with value 14
% 6.42/6.60 ; The agenda of input rows to give has 1 entry:
% 6.42/6.60 ; 1 with value 6
% 6.42/6.60 ; The agenda of rows to give has 295 entries:
% 6.42/6.60 ; 2 with value (4 7) 9 with value (4 13) 22 with value (4 18)
% 6.42/6.60 ; 5 with value (4 8) 90 with value (4 14) 18 with value (4 19)
% 6.42/6.60 ; 1 with value (4 9) 106 with value (4 15) 6 with value (4 20)
% 6.42/6.60 ; 1 with value (4 10) 10 with value (4 16) 1 with value (4 21)
% 6.42/6.60 ; 3 with value (4 11) 12 with value (4 17) 2 with value (4 29)
% 6.42/6.60 ; 7 with value (4 12)
% 6.42/6.60 Evaluation took:
% 6.42/6.60 6.13 seconds of real time
% 6.42/6.60 5.958971 seconds of user run time
% 6.42/6.60 0.170052 seconds of system run time
% 6.42/6.60 [Run times include 0.278 seconds GC run time.]
% 6.42/6.60 0 calls to %EVAL
% 6.42/6.60 0 page faults and
% 6.42/6.60 402,357,472 bytes consed.
% 6.42/6.60 :PROOF-FOUND
% 6.42/6.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T06:41:00
% 6.42/6.60 :PROOF-FOUND
% 6.42/6.60 *
%------------------------------------------------------------------------------