TSTP Solution File: GEO638+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO638+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 06:17:06 EDT 2022
% Result : Theorem 28.11s 28.36s
% Output : Refutation 28.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of clauses : 50 ( 34 unt; 0 nHn; 45 RR)
% Number of literals : 73 ( 0 equ; 31 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 83 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ coll(X,Y,Z)
| coll(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(10,axiom,
( ~ midp(X,Y,Z)
| midp(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
cnf(11,axiom,
( ~ cong(X,Y,X,Z)
| ~ cong(X,Y,X,U)
| circle(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
cnf(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(24,axiom,
( ~ cong(X,Y,Z,U)
| ~ cong(Z,U,V,W)
| cong(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(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(53,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(X,Y,U)
| perp(Y,Z,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
cnf(67,axiom,
( ~ cong(X,Y,X,Z)
| ~ coll(X,Y,Z)
| midp(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
cnf(68,axiom,
( ~ midp(X,Y,Z)
| cong(X,Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
cnf(69,axiom,
( ~ midp(X,Y,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
cnf(73,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ perp(V,W,X1,Y1)
| perp(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
cnf(116,negated_conjecture,
para('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).
cnf(117,negated_conjecture,
coll('SKOLEMAAAV26','SKOLEMAAAV24','SKOLEMAAAV25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).
cnf(118,negated_conjecture,
midp('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).
cnf(121,negated_conjecture,
~ perp('SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV25','SKOLEMAAAV28'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).
cnf(123,plain,
coll('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[1,117]) ).
cnf(126,plain,
midp('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[10,118]) ).
cnf(128,plain,
coll('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[69,118]) ).
cnf(130,plain,
cong('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[68,118]) ).
cnf(136,plain,
~ perp('SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV25'),
inference('UR-RESOLVE',[status(thm)],[6,121]) ).
cnf(144,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV26','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,116]) ).
cnf(174,plain,
coll('SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[2,123,123]) ).
cnf(182,plain,
cong('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[68,126]) ).
cnf(241,plain,
coll('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[2,128,128]) ).
cnf(242,plain,
coll('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[1,128]) ).
cnf(255,plain,
cong('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[22,130]) ).
cnf(274,plain,
~ circle('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV25'),
inference('UR-RESOLVE',[status(thm)],[53,136,128]) ).
cnf(310,plain,
coll('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[1,174]) ).
cnf(324,plain,
coll('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[1,241]) ).
cnf(351,plain,
cong('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[24,182,130]) ).
cnf(353,plain,
cong('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[24,182,130]) ).
cnf(553,plain,
~ cong('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[11,274,130]) ).
cnf(659,plain,
coll('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[2,310,242]) ).
cnf(911,plain,
midp('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[67,351,324]) ).
cnf(928,plain,
circle('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[11,353,353]) ).
cnf(1365,plain,
~ cong('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[22,553]) ).
cnf(2218,plain,
perp('SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[53,928,659]) ).
cnf(2528,plain,
~ cong('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[24,1365,255]) ).
cnf(3906,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV22',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,144]) ).
cnf(5632,plain,
~ perp('SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV25'),
inference('UR-RESOLVE',[status(thm)],[52,2528,911]) ).
cnf(10605,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[73,3906,2218]) ).
cnf(10612,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[19,3906]) ).
cnf(11560,plain,
~ perp('SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV25','SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[6,5632]) ).
cnf(44144,plain,
perp(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[73,10612,10605]) ).
cnf(44145,plain,
$false,
inference('REWRITE',[status(thm)],[11560,44144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO638+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 02:54:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:54:43
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T02:54:43
% 0.19/0.51
% 0.19/0.51 WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.51 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 28.11/28.36 ; Declaring coll to be commutative.
% 28.11/28.36
% 28.11/28.36 #||
% 28.11/28.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.11/28.36 % SZS output start Refutation
% See solution above
% 28.11/28.36 ||#
% 28.11/28.36
% 28.11/28.36 ; Summary of computation:
% 28.11/28.36 ; 112866 formulas have been input or derived (from 1334 formulas).
% 28.11/28.36 ; 44145 (39%) were retained. Of these,
% 28.11/28.36 ; 123 ( 0%) were simplified or subsumed later,
% 28.11/28.36 ; 44022 (100%) are still being kept.
% 28.11/28.36 ;
% 28.11/28.36 ; Run time in seconds excluding printing time:
% 28.11/28.36 ; 0.032 0% Read assertion file (1 call)
% 28.11/28.36 ; 0.005 0% Assert (95 calls)
% 28.11/28.36 ; 2.311 8% Process new row (110,640 calls)
% 28.11/28.36 ; 23.069 83% Resolution (2,666 calls)
% 28.11/28.36 ; 0.009 0% Paramodulation (1,333 calls)
% 28.11/28.36 ; 0.003 0% Condensing (300 calls)
% 28.11/28.36 ; 0.006 0% Forward subsumption (300 calls)
% 28.11/28.36 ; 0.009 0% Backward subsumption (299 calls)
% 28.11/28.36 ; 0.003 0% Clause clause subsumption (203 calls)
% 28.11/28.36 ; 0.965 3% Forward simplification (110,640 calls)
% 28.11/28.36 ; 1.105 4% Backward simplification (44,145 calls)
% 28.11/28.36 ; 0.001 0% Ordering (280 calls)
% 28.11/28.36 ; 0.000 0% Sortal reasoning (32 calls)
% 28.11/28.36 ; 0.000 0% Purity testing (1 call)
% 28.11/28.36 ; 0.364 1% Other
% 28.11/28.36 ; 27.882 Total
% 28.11/28.36 ; 27.895 Real time
% 28.11/28.37 ;
% 28.11/28.37 ; Term-hash-array has 60,873 terms in all.
% 28.11/28.37 ; Feature-vector-row-index has 299 entries (299 at peak, 299 added, 0 deleted).
% 28.11/28.37 ; Feature-vector-row-index has 966 nodes (966 at peak, 966 added, 0 deleted).
% 28.11/28.37 ; Retrieved 166 possibly forward subsuming rows in 300 calls.
% 28.11/28.37 ; Retrieved 71 possibly backward subsumed rows in 299 calls.
% 28.11/28.37 ; Path-index has 60,761 entries (60,821 at peak, 60,884 added, 123 deleted).
% 28.11/28.37 ; Path-index has 3,634 nodes (3,634 at peak, 3,635 added, 1 deleted).
% 28.11/28.37 ; Trie-index has 60,761 entries (60,821 at peak, 60,884 added, 123 deleted).
% 28.11/28.37 ; Trie-index has 173,663 nodes (173,744 at peak, 174,014 added, 351 deleted).
% 28.11/28.37 ; Retrieved 67,799 generalization terms in 110,553 calls.
% 28.11/28.37 ; Retrieved 52,237 instance terms in 43,845 calls.
% 28.11/28.37 ; Retrieved 28,115,584 unifiable terms in 686,961 calls.
% 28.11/28.37 ;
% 28.11/28.37 ; The agenda of rows to process has 112 entries:
% 28.11/28.37 ; 112 with value 14
% 28.11/28.37 ; The agenda of rows to give has 42738 entries:
% 28.11/28.37 ; 1 with value (4 10) 17686 with value (4 20) 528 with value (4 28)
% 28.11/28.37 ; 389 with value (4 13) 4746 with value (4 21) 129 with value (4 29)
% 28.11/28.37 ; 1678 with value (4 14) 115 with value (4 22) 47 with value (4 30)
% 28.11/28.37 ; 643 with value (4 15) 138 with value (4 23) 104 with value (4 31)
% 28.11/28.37 ; 1426 with value (4 16) 251 with value (4 24) 62 with value (4 32)
% 28.11/28.37 ; 2229 with value (4 17) 473 with value (4 25) 68 with value (4 33)
% 28.11/28.37 ; 6665 with value (4 18) 282 with value (4 26) 232 with value (4 34)
% 28.11/28.37 ; 4495 with value (4 19) 351 with value (4 27)
% 28.11/28.37 Evaluation took:
% 28.11/28.37 27.899 seconds of real time
% 28.11/28.37 27.167576 seconds of user run time
% 28.11/28.37 0.720892 seconds of system run time
% 28.11/28.37 [Run times include 2.216 seconds GC run time.]
% 28.11/28.37 0 calls to %EVAL
% 28.11/28.37 0 page faults and
% 28.11/28.37 1,061,823,040 bytes consed.
% 28.11/28.37 :PROOF-FOUND
% 28.11/28.37 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:55:11
% 28.11/28.37 :PROOF-FOUND
% 28.11/28.37 *
%------------------------------------------------------------------------------