TSTP Solution File: GEO657+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO657+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 06:17:11 EDT 2022
% Result : Theorem 10.45s 10.67s
% Output : Refutation 10.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of clauses : 47 ( 22 unt; 0 nHn; 25 RR)
% Number of literals : 91 ( 0 equ; 46 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 : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 188 ( 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(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(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(21,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ eqangle(V,W,X1,Y1,Z1,U1,V1,W1)
| eqangle(X,Y,Z,U,Z1,U1,V1,W1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(72,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ para(V,W,X1,Y1)
| para(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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(106,axiom,
( ~ perp(X,Y,Y,Z)
| ~ coll(Z,U,V)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(113,negated_conjecture,
para('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02315) ).
cnf(117,negated_conjecture,
~ para('SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV27','SKOLEMAAAV26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02315) ).
cnf(137,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV22',X,Y,'SKOLEMAAAV27','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,113]) ).
cnf(4006,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,137]) ).
cnf(4078,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[19,4006]) ).
cnf(4689,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,4078,113]) ).
cnf(4692,plain,
eqangle(X,Y,X,Y,Z,U,Z,U),
inference('HYPERRESOLVE',[status(thm)],[21,4078,4006]) ).
cnf(4699,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,4689]) ).
cnf(4703,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4699,4699]) ).
cnf(7177,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4703,4703]) ).
cnf(7178,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,7177]) ).
cnf(7181,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,7177]) ).
cnf(7183,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,7177]) ).
cnf(8190,plain,
cyclic(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[7183,4692]) ).
cnf(8193,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,8190,8190]) ).
cnf(8194,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,8193]) ).
cnf(8195,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,8193]) ).
cnf(8196,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,8193]) ).
cnf(8197,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,8193]) ).
cnf(8331,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[8197,8196]) ).
cnf(8348,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[8194,8331,8331]) ).
cnf(8353,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,8348]) ).
cnf(8354,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[7178,8348]) ).
cnf(8355,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[8195,8348]) ).
cnf(8361,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[7181,8355,8196]) ).
cnf(8366,plain,
~ perp('SKOLEMAAAV22','SKOLEMAAAV24','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV27','SKOLEMAAAV26'),X),
inference('UR-RESOLVE',[status(thm)],[8,8354,117]) ).
cnf(8404,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[8353,8361]) ).
cnf(8405,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,8404]) ).
cnf(8406,plain,
$false,
inference('REWRITE',[status(thm)],[8366,8405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO657+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 01:35:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:35:28
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-18T01:35:28
% 0.20/0.52
% 0.20/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 10.45/10.67 ; Declaring coll to be commutative.
% 10.45/10.67
% 10.45/10.67 #||
% 10.45/10.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.45/10.67 % SZS output start Refutation
% See solution above
% 10.45/10.67 ||#
% 10.45/10.67
% 10.45/10.67 ; Summary of computation:
% 10.45/10.67 ; 63297 formulas have been input or derived (from 1108 formulas).
% 10.45/10.67 ; 8406 (13%) were retained. Of these,
% 10.45/10.67 ; 6969 (83%) were simplified or subsumed later,
% 10.45/10.67 ; 1437 (17%) are still being kept.
% 10.45/10.67 ;
% 10.45/10.67 ; Run time in seconds excluding printing time:
% 10.45/10.67 ; 0.031 0% Read assertion file (1 call)
% 10.45/10.67 ; 0.006 0% Assert (95 calls)
% 10.45/10.67 ; 0.477 5% Process new row (62,086 calls)
% 10.45/10.67 ; 8.788 86% Resolution (2,214 calls)
% 10.45/10.67 ; 0.007 0% Paramodulation (1,107 calls)
% 10.45/10.67 ; 0.003 0% Condensing (141 calls)
% 10.45/10.67 ; 0.000 0% Forward subsumption (141 calls)
% 10.45/10.67 ; 0.001 0% Backward subsumption (140 calls)
% 10.45/10.67 ; 0.001 0% Clause clause subsumption (174 calls)
% 10.45/10.67 ; 0.221 2% Forward simplification (44,370 calls)
% 10.45/10.67 ; 0.465 5% Backward simplification (8,406 calls)
% 10.45/10.67 ; 0.000 0% Ordering (24 calls)
% 10.45/10.67 ; 0.000 0% Sortal reasoning (32 calls)
% 10.45/10.67 ; 0.000 0% Purity testing (1 call)
% 10.45/10.67 ; 0.193 2% Other
% 10.45/10.67 ; 10.193 Total
% 10.45/10.67 ; 10.197 Real time
% 10.45/10.67 ;
% 10.45/10.67 ; Term-hash-array has 11,284 terms in all.
% 10.45/10.67 ; Feature-vector-row-index has 60 entries (119 at peak, 140 added, 80 deleted).
% 10.45/10.67 ; Feature-vector-row-index has 78 nodes (212 at peak, 235 added, 157 deleted).
% 10.45/10.67 ; Retrieved 156 possibly forward subsuming rows in 141 calls.
% 10.45/10.67 ; Retrieved 56 possibly backward subsumed rows in 140 calls.
% 10.45/10.67 ; Path-index has 1,479 entries (8,522 at peak, 11,317 added, 9,838 deleted).
% 10.45/10.67 ; Path-index has 815 nodes (1,069 at peak, 1,360 added, 545 deleted).
% 10.45/10.67 ; Trie-index has 1,479 entries (8,522 at peak, 11,317 added, 9,838 deleted).
% 10.45/10.67 ; Trie-index has 4,967 nodes (20,927 at peak, 28,368 added, 23,401 deleted).
% 10.45/10.67 ; Retrieved 54,817 generalization terms in 44,280 calls.
% 10.45/10.67 ; Retrieved 38,082 instance terms in 8,265 calls.
% 10.45/10.67 ; Retrieved 13,583,312 unifiable terms in 573,613 calls.
% 10.45/10.67 ;
% 10.45/10.67 ; The agenda of backward simplifiable rows to process has 8 entries:
% 10.45/10.67 ; 8 with value 0
% 10.45/10.67 ; The agenda of rows to process has 86 entries:
% 10.45/10.67 ; 15 with value 8 4 with value 12 6 with value 17
% 10.45/10.67 ; 4 with value 9 16 with value 14 1 with value 18
% 10.45/10.67 ; 6 with value 10 20 with value 15 1 with value 19
% 10.45/10.67 ; 4 with value 11 8 with value 16 1 with value 21
% 10.45/10.67 ; The agenda of input rows to give has 1 entry:
% 10.45/10.67 ; 1 with value 6
% 10.45/10.67 ; The agenda of rows to give has 886 entries:
% 10.45/10.67 ; 8 with value (4 7) 10 with value (4 12) 12 with value (4 16)
% 10.45/10.67 ; 3 with value (4 8) 21 with value (4 13) 1 with value (4 19)
% 10.45/10.67 ; 4 with value (4 10) 222 with value (4 14) 2 with value (4 29)
% 10.45/10.67 ; 7 with value (4 11) 596 with value (4 15)
% 10.45/10.67 Evaluation took:
% 10.45/10.67 10.197 seconds of real time
% 10.45/10.67 9.932593 seconds of user run time
% 10.45/10.67 0.263764 seconds of system run time
% 10.45/10.67 [Run times include 0.469 seconds GC run time.]
% 10.45/10.67 0 calls to %EVAL
% 10.45/10.67 0 page faults and
% 10.45/10.67 662,740,944 bytes consed.
% 10.45/10.67 :PROOF-FOUND
% 10.45/10.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:35:39
% 10.45/10.67 :PROOF-FOUND
% 10.45/10.67 *
%------------------------------------------------------------------------------