%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO552+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 06:16:40 EDT 2022
% Result : Theorem 35.86s 36.07s
% Output : Refutation 35.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 49 ( 25 unt; 0 nHn; 28 RR)
% Number of literals : 89 ( 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 : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 163 ( 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(6,axiom,
( ~ perp(X,Y,Z,U)
| perp(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(113,negated_conjecture,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012012) ).
cnf(118,negated_conjecture,
~ perp('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012012) ).
cnf(128,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[7,113]) ).
cnf(129,plain,
~ perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[7,118]) ).
cnf(185,plain,
para('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[8,128,113]) ).
cnf(191,plain,
~ perp('SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[6,129]) ).
cnf(264,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV25',X,Y,'SKOLEMAAAV22','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,185]) ).
cnf(5317,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,264]) ).
cnf(5318,plain,
eqangle(X,Y,'SKOLEMAAAV22','SKOLEMAAAV25',X,Y,'SKOLEMAAAV22','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[18,264]) ).
cnf(36529,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,5318]) ).
cnf(36538,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,36529]) ).
cnf(37633,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,36538,36538]) ).
cnf(39224,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,37633,37633]) ).
cnf(39228,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,39224]) ).
cnf(39230,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,39224]) ).
cnf(39271,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV22',X),
inference('HYPERRESOLVE',[status(thm)],[39230,5317]) ).
cnf(39379,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,39271,39271]) ).
cnf(40680,plain,
cyclic('SKOLEMAAAV22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,39379,39379]) ).
cnf(40868,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,40680,40680]) ).
cnf(40869,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,40868]) ).
cnf(40870,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,40868]) ).
cnf(40871,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,40868]) ).
cnf(40872,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,40868]) ).
cnf(40908,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[40872,40871]) ).
cnf(41035,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[40869,40908,40908]) ).
cnf(41040,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,41035]) ).
cnf(41042,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[40870,41035]) ).
cnf(41063,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[39228,41042,40871]) ).
cnf(41174,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[41040,41063]) ).
cnf(41175,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,41174]) ).
cnf(41176,plain,
$false,
inference('REWRITE',[status(thm)],[191,41175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO552+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 10:56:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:56:42
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-18T10:56:42
% 0.19/0.51
% 0.34/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.34/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 35.86/36.07 ; Declaring coll to be commutative.
% 35.86/36.07
% 35.86/36.07 #||
% 35.86/36.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.86/36.07 % SZS output start Refutation
% See solution above
% 35.90/36.08 ||#
% 35.90/36.08
% 35.90/36.08 ; Summary of computation:
% 35.90/36.08 ; 141419 formulas have been input or derived (from 1122 formulas).
% 35.90/36.08 ; 41176 (29%) were retained. Of these,
% 35.90/36.08 ; 33945 (82%) were simplified or subsumed later,
% 35.90/36.08 ; 7231 (18%) are still being kept.
% 35.90/36.08 ;
% 35.90/36.08 ; Run time in seconds excluding printing time:
% 35.90/36.08 ; 0.031 0% Read assertion file (1 call)
% 35.90/36.08 ; 0.003 0% Assert (95 calls)
% 35.90/36.08 ; 2.380 7% Process new row (137,994 calls)
% 35.90/36.08 ; 27.931 78% Resolution (2,242 calls)
% 35.90/36.08 ; 0.011 0% Paramodulation (1,121 calls)
% 35.90/36.08 ; 0.004 0% Condensing (454 calls)
% 35.90/36.08 ; 0.012 0% Forward subsumption (454 calls)
% 35.90/36.08 ; 0.006 0% Backward subsumption (422 calls)
% 35.90/36.08 ; 0.002 0% Clause clause subsumption (931 calls)
% 35.90/36.08 ; 0.667 2% Forward simplification (118,082 calls)
% 35.90/36.08 ; 4.116 12% Backward simplification (41,176 calls)
% 35.90/36.08 ; 0.000 0% Ordering (588 calls)
% 35.90/36.08 ; 0.001 0% Sortal reasoning (32 calls)
% 35.90/36.08 ; 0.000 0% Purity testing (1 call)
% 35.90/36.08 ; 0.430 1% Other
% 35.90/36.08 ; 35.594 Total
% 35.90/36.08 ; 35.606 Real time
% 35.90/36.08 ;
% 35.90/36.08 ; Term-hash-array has 57,844 terms in all.
% 35.90/36.08 ; Feature-vector-row-index has 148 entries (383 at peak, 422 added, 274 deleted).
% 35.90/36.08 ; Feature-vector-row-index has 392 nodes (873 at peak, 973 added, 581 deleted).
% 35.90/36.08 ; Retrieved 493 possibly forward subsuming rows in 454 calls.
% 35.90/36.08 ; Retrieved 488 possibly backward subsumed rows in 422 calls.
% 35.90/36.08 ; Path-index has 9,625 entries (51,186 at peak, 57,879 added, 48,254 deleted).
% 35.90/36.08 ; Path-index has 2,499 nodes (3,419 at peak, 4,133 added, 1,634 deleted).
% 35.90/36.08 ; Trie-index has 9,625 entries (51,186 at peak, 57,879 added, 48,254 deleted).
% 35.90/36.08 ; Trie-index has 41,975 nodes (155,961 at peak, 179,029 added, 137,054 deleted).
% 35.90/36.08 ; Retrieved 91,374 generalization terms in 118,086 calls.
% 35.90/36.08 ; Retrieved 211,164 instance terms in 40,753 calls.
% 35.90/36.08 ; Retrieved 40,182,199 unifiable terms in 598,288 calls.
% 35.90/36.08 ;
% 35.90/36.08 ; The agenda of backward simplifiable rows to process has 8 entries:
% 35.90/36.08 ; 8 with value 0
% 35.90/36.08 ; The agenda of rows to process has 640 entries:
% 35.90/36.08 ; 27 with value 8 116 with value 15 78 with value 21
% 35.90/36.08 ; 1 with value 9 16 with value 16 124 with value 22
% 35.90/36.08 ; 4 with value 11 18 with value 18 16 with value 23
% 35.90/36.08 ; 20 with value 12 44 with value 19 4 with value 28
% 35.90/36.08 ; 66 with value 13 50 with value 20 8 with value 29
% 35.90/36.08 ; 48 with value 14
% 35.90/36.08 ; The agenda of input rows to give has 1 entry:
% 35.90/36.08 ; 1 with value 6
% 35.90/36.08 ; The agenda of rows to give has 6968 entries:
% 35.90/36.08 ; 2 with value (4 7) 697 with value (4 18) 175 with value (4 27)
% 35.90/36.08 ; 5 with value (4 8) 568 with value (4 19) 302 with value (4 28)
% 35.90/36.08 ; 3 with value (4 11) 357 with value (4 20) 387 with value (4 29)
% 35.90/36.08 ; 6 with value (4 12) 787 with value (4 21) 8 with value (4 30)
% 35.90/36.08 ; 5 with value (4 13) 1575 with value (4 22) 21 with value (4 31)
% 35.90/36.08 ; 333 with value (4 14) 42 with value (4 23) 21 with value (4 32)
% 35.90/36.08 ; 522 with value (4 15) 81 with value (4 24) 56 with value (4 33)
% 35.90/36.08 ; 132 with value (4 16) 179 with value (4 25) 70 with value (4 34)
% 35.90/36.08 ; 115 with value (4 17) 291 with value (4 26) 228 with value (4 35)
% 35.90/36.08 Evaluation took:
% 35.90/36.08 35.608 seconds of real time
% 35.90/36.08 34.469524 seconds of user run time
% 35.90/36.08 1.129931 seconds of system run time
% 35.90/36.08 [Run times include 3.804 seconds GC run time.]
% 35.90/36.08 0 calls to %EVAL
% 35.90/36.08 0 page faults and
% 35.90/36.08 1,341,077,592 bytes consed.
% 35.90/36.08 :PROOF-FOUND
% 35.90/36.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:57:18
% 35.90/36.08 :PROOF-FOUND
% 35.90/36.08 *
%------------------------------------------------------------------------------