TSTP Solution File: GEO561+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO561+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 06:16:43 EDT 2022
% Result : Theorem 54.77s 54.94s
% Output : Refutation 54.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of clauses : 56 ( 29 unt; 0 nHn; 33 RR)
% Number of literals : 100 ( 0 equ; 49 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 : 191 ( 34 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(17,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Y,X,Z,U,V,W,X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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(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(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(54,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ para(X,Y,Z,U)
| eqangle(X,U,Z,U,Z,U,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
cnf(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox2/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/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(113,negated_conjecture,
perp('SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214022) ).
cnf(125,negated_conjecture,
~ eqangle('SKOLEMAAAV21','SKOLEMAAAV30','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV29','SKOLEMAAAV21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214022) ).
cnf(144,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[7,113]) ).
cnf(163,plain,
~ eqangle('SKOLEMAAAV30','SKOLEMAAAV21','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV29','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[17,125]) ).
cnf(216,plain,
para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,144,113]) ).
cnf(317,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,216]) ).
cnf(4089,plain,
~ eqangle('SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV21','SKOLEMAAAV29','SKOLEMAAAV21','SKOLEMAAAV30','SKOLEMAAAV29'),
inference('UR-RESOLVE',[status(thm)],[18,163]) ).
cnf(4909,plain,
~ eqangle('SKOLEMAAAV29','SKOLEMAAAV21','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[19,4089]) ).
cnf(4927,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,317]) ).
cnf(4928,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,317]) ).
cnf(6721,plain,
~ eqangle('SKOLEMAAAV21','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[17,4909]) ).
cnf(8660,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,4928]) ).
cnf(8666,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,8660]) ).
cnf(8674,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,8666,8666]) ).
cnf(21666,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,8674,8674]) ).
cnf(21670,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,21666]) ).
cnf(21672,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,21666]) ).
cnf(21680,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[21672,4927]) ).
cnf(21707,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,21680,21680]) ).
cnf(21711,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,21707,21707]) ).
cnf(21731,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,21711,21711]) ).
cnf(21732,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,21731]) ).
cnf(21733,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,21731]) ).
cnf(21734,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,21731]) ).
cnf(21735,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,21731]) ).
cnf(21736,plain,
( ~ para(X,Y,Z,U)
| eqangle(X,U,Z,U,Z,U,Z,Y) ),
inference('REWRITE',[status(thm)],[54,21731]) ).
cnf(21759,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[21735,21734]) ).
cnf(21793,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[21732,21759,21759]) ).
cnf(21798,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,21793]) ).
cnf(21800,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[21733,21793]) ).
cnf(21804,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[21670,21800,21734]) ).
cnf(21852,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[21798,21804]) ).
cnf(21853,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,21852]) ).
cnf(21856,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,21853]) ).
cnf(21861,plain,
eqangle(X,Y,Z,Y,Z,Y,Z,U),
inference('REWRITE',[status(thm)],[21736,21856]) ).
cnf(21862,plain,
$false,
inference('REWRITE',[status(thm)],[6721,21861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO561+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 22:55:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T22:55:28
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-17T22:55:28
% 0.19/0.50
% 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)).
% 54.77/54.94 ; Declaring coll to be commutative.
% 54.77/54.94
% 54.77/54.94 #||
% 54.77/54.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.77/54.94 % SZS output start Refutation
% See solution above
% 54.77/54.95 ||#
% 54.77/54.95
% 54.77/54.95 ; Summary of computation:
% 54.77/54.95 ; 158694 formulas have been input or derived (from 1329 formulas).
% 54.77/54.95 ; 21862 (14%) were retained. Of these,
% 54.77/54.95 ; 21590 (99%) were simplified or subsumed later,
% 54.77/54.95 ; 272 ( 1%) are still being kept.
% 54.77/54.95 ;
% 54.77/54.95 ; Run time in seconds excluding printing time:
% 54.77/54.95 ; 0.031 0% Read assertion file (1 call)
% 54.77/54.95 ; 0.006 0% Assert (95 calls)
% 54.77/54.95 ; 1.513 3% Process new row (156,745 calls)
% 54.77/54.95 ; 50.008 92% Resolution (2,656 calls)
% 54.77/54.95 ; 0.004 0% Paramodulation (1,328 calls)
% 54.77/54.95 ; 0.008 0% Condensing (154 calls)
% 54.77/54.95 ; 0.005 0% Forward subsumption (154 calls)
% 54.77/54.95 ; 0.000 0% Backward subsumption (152 calls)
% 54.77/54.95 ; 0.002 0% Clause clause subsumption (193 calls)
% 54.77/54.95 ; 0.530 1% Forward simplification (96,753 calls)
% 54.77/54.95 ; 1.922 4% Backward simplification (21,862 calls)
% 54.77/54.95 ; 0.000 0% Ordering (40 calls)
% 54.77/54.95 ; 0.000 0% Sortal reasoning (32 calls)
% 54.77/54.95 ; 0.000 0% Purity testing (1 call)
% 54.77/54.95 ; 0.446 1% Other
% 54.77/54.95 ; 54.475 Total
% 54.77/54.95 ; 54.485 Real time
% 54.77/54.95 ;
% 54.77/54.95 ; Term-hash-array has 31,238 terms in all.
% 54.77/54.95 ; Feature-vector-row-index has 44 entries (127 at peak, 152 added, 108 deleted).
% 54.77/54.95 ; Feature-vector-row-index has 56 nodes (257 at peak, 283 added, 227 deleted).
% 54.77/54.95 ; Retrieved 164 possibly forward subsuming rows in 154 calls.
% 54.77/54.95 ; Retrieved 67 possibly backward subsumed rows in 152 calls.
% 54.77/54.95 ; Path-index has 339 entries (27,412 at peak, 31,281 added, 30,942 deleted).
% 54.77/54.95 ; Path-index has 914 nodes (1,825 at peak, 2,320 added, 1,406 deleted).
% 54.77/54.95 ; Trie-index has 339 entries (27,412 at peak, 31,281 added, 30,942 deleted).
% 54.77/54.95 ; Trie-index has 1,448 nodes (64,096 at peak, 73,143 added, 71,695 deleted).
% 54.77/54.95 ; Retrieved 122,471 generalization terms in 96,729 calls.
% 54.77/54.95 ; Retrieved 62,931 instance terms in 21,709 calls.
% 54.77/54.95 ; Retrieved 71,732,804 unifiable terms in 3,658,656 calls.
% 54.77/54.95 ;
% 54.77/54.95 ; The agenda of backward simplifiable rows to process has 3 entries:
% 54.77/54.95 ; 3 with value 0
% 54.77/54.95 ; The agenda of rows to process has 72 entries:
% 54.77/54.95 ; 11 with value 8 10 with value 14 4 with value 19
% 54.77/54.95 ; 4 with value 9 12 with value 15 4 with value 20
% 54.77/54.95 ; 4 with value 11 8 with value 18 1 with value 21
% 54.77/54.95 ; 14 with value 12
% 54.77/54.95 ; The agenda of input rows to give has 9 entries:
% 54.79/54.95 ; 2 with value 6 1 with value 11 1 with value 16
% 54.79/54.95 ; 5 with value 10
% 54.79/54.95 ; The agenda of rows to give has 196 entries:
% 54.79/54.95 ; 2 with value (4 7) 3 with value (4 13) 10 with value (4 21)
% 54.79/54.95 ; 6 with value (4 8) 49 with value (4 14) 16 with value (4 22)
% 54.79/54.95 ; 3 with value (4 11) 92 with value (4 15) 2 with value (4 29)
% 54.79/54.95 ; 3 with value (4 12) 10 with value (4 19)
% 54.79/54.95 Evaluation took:
% 54.79/54.95 54.486 seconds of real time
% 54.79/54.95 53.728405 seconds of user run time
% 54.79/54.95 0.751333 seconds of system run time
% 54.79/54.95 [Run times include 2.425 seconds GC run time.]
% 54.79/54.95 0 calls to %EVAL
% 54.79/54.95 0 page faults and
% 54.79/54.95 3,473,749,000 bytes consed.
% 54.79/54.95 :PROOF-FOUND
% 54.79/54.95 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T22:56:22
% 54.79/54.95 :PROOF-FOUND
% 54.79/54.95 *
%------------------------------------------------------------------------------