TSTP Solution File: GEO648+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO648+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 06:17:09 EDT 2022
% Result : Theorem 6.25s 6.47s
% Output : Refutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 50 ( 25 unt; 0 nHn; 27 RR)
% Number of literals : 92 ( 0 equ; 44 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; 5 con; 0-5 aty)
% Number of variables : 177 ( 32 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('SKOLEMAAAW16'(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('SKOLEMAAAW17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(114,negated_conjecture,
perp('SKOLEMAAAW21','SKOLEMAAAW23','SKOLEMAAAW23','SKOLEMAAAW24'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0213) ).
cnf(118,negated_conjecture,
~ para('SKOLEMAAAW21','SKOLEMAAAW24','SKOLEMAAAW22','SKOLEMAAAW25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0213) ).
cnf(125,plain,
perp('SKOLEMAAAW23','SKOLEMAAAW24','SKOLEMAAAW21','SKOLEMAAAW23'),
inference('HYPERRESOLVE',[status(thm)],[7,114]) ).
cnf(148,plain,
para('SKOLEMAAAW23','SKOLEMAAAW24','SKOLEMAAAW23','SKOLEMAAAW24'),
inference('HYPERRESOLVE',[status(thm)],[8,125,114]) ).
cnf(188,plain,
eqangle('SKOLEMAAAW23','SKOLEMAAAW24',X,Y,'SKOLEMAAAW23','SKOLEMAAAW24',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,148]) ).
cnf(1575,plain,
eqangle('SKOLEMAAAW23','SKOLEMAAAW24','SKOLEMAAAW23','SKOLEMAAAW24',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,188]) ).
cnf(1576,plain,
eqangle(X,Y,'SKOLEMAAAW23','SKOLEMAAAW24',X,Y,'SKOLEMAAAW23','SKOLEMAAAW24'),
inference('HYPERRESOLVE',[status(thm)],[18,188]) ).
cnf(4687,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1576]) ).
cnf(4693,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,4687]) ).
cnf(4696,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4693,4693]) ).
cnf(5593,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4696,4696]) ).
cnf(5594,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAW17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,5593]) ).
cnf(5597,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,5593]) ).
cnf(5599,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,5593]) ).
cnf(5603,plain,
cyclic('SKOLEMAAAW24','SKOLEMAAAW24','SKOLEMAAAW23',X),
inference('HYPERRESOLVE',[status(thm)],[5599,1575]) ).
cnf(5612,plain,
cyclic('SKOLEMAAAW24','SKOLEMAAAW23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,5603,5603]) ).
cnf(5625,plain,
cyclic('SKOLEMAAAW23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,5612,5612]) ).
cnf(5757,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,5625,5625]) ).
cnf(5758,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,5757]) ).
cnf(5759,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAW16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,5757]) ).
cnf(5760,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,5757]) ).
cnf(5761,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,5757]) ).
cnf(5828,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[5761,5760]) ).
cnf(5878,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[5758,5828,5828]) ).
cnf(5883,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,5878]) ).
cnf(5884,plain,
perp('SKOLEMAAAW17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[5594,5878]) ).
cnf(5885,plain,
circle('SKOLEMAAAW16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[5759,5878]) ).
cnf(5889,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[5597,5885,5760]) ).
cnf(5894,plain,
~ perp('SKOLEMAAAW21','SKOLEMAAAW24','SKOLEMAAAW17'(X,Y,Z,'SKOLEMAAAW22','SKOLEMAAAW25'),X),
inference('UR-RESOLVE',[status(thm)],[8,5884,118]) ).
cnf(5945,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[5883,5889]) ).
cnf(5946,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,5945]) ).
cnf(5947,plain,
$false,
inference('REWRITE',[status(thm)],[5894,5946]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO648+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 17 17:57:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:57:54
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-17T17:57:54
% 0.21/0.53
% 0.21/0.53 WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 6.25/6.47 ; Declaring coll to be commutative.
% 6.25/6.47
% 6.25/6.47 #||
% 6.25/6.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.25/6.47 % SZS output start Refutation
% See solution above
% 6.25/6.47 ||#
% 6.25/6.47
% 6.25/6.47 ; Summary of computation:
% 6.25/6.47 ; 34726 formulas have been input or derived (from 625 formulas).
% 6.25/6.47 ; 5947 (17%) were retained. Of these,
% 6.25/6.47 ; 5459 (92%) were simplified or subsumed later,
% 6.25/6.47 ; 488 ( 8%) are still being kept.
% 6.25/6.47 ;
% 6.25/6.47 ; Run time in seconds excluding printing time:
% 6.25/6.47 ; 0.031 1% Read assertion file (1 call)
% 6.25/6.47 ; 0.006 0% Assert (95 calls)
% 6.25/6.47 ; 0.360 6% Process new row (33,579 calls)
% 6.25/6.47 ; 4.958 83% Resolution (1,248 calls)
% 6.25/6.47 ; 0.005 0% Paramodulation (624 calls)
% 6.25/6.47 ; 0.003 0% Condensing (159 calls)
% 6.25/6.47 ; 0.002 0% Forward subsumption (159 calls)
% 6.25/6.47 ; 0.002 0% Backward subsumption (157 calls)
% 6.25/6.47 ; 0.003 0% Clause clause subsumption (180 calls)
% 6.25/6.47 ; 0.133 2% Forward simplification (24,574 calls)
% 6.25/6.47 ; 0.354 6% Backward simplification (5,947 calls)
% 6.25/6.47 ; 0.001 0% Ordering (58 calls)
% 6.25/6.47 ; 0.000 0% Sortal reasoning (32 calls)
% 6.25/6.47 ; 0.000 0% Purity testing (1 call)
% 6.25/6.47 ; 0.125 2% Other
% 6.25/6.47 ; 5.983 Total
% 6.25/6.47 ; 5.988 Real time
% 6.25/6.47 ;
% 6.25/6.47 ; Term-hash-array has 8,131 terms in all.
% 6.25/6.47 ; Feature-vector-row-index has 60 entries (129 at peak, 157 added, 97 deleted).
% 6.25/6.47 ; Feature-vector-row-index has 78 nodes (295 at peak, 392 added, 314 deleted).
% 6.25/6.47 ; Retrieved 160 possibly forward subsuming rows in 159 calls.
% 6.25/6.47 ; Retrieved 58 possibly backward subsumed rows in 157 calls.
% 6.25/6.47 ; Path-index has 595 entries (6,263 at peak, 8,191 added, 7,596 deleted).
% 6.25/6.47 ; Path-index has 1,512 nodes (2,764 at peak, 3,363 added, 1,851 deleted).
% 6.25/6.47 ; Trie-index has 595 entries (6,263 at peak, 8,191 added, 7,596 deleted).
% 6.25/6.47 ; Trie-index has 2,352 nodes (25,678 at peak, 34,226 added, 31,874 deleted).
% 6.25/6.47 ; Retrieved 23,955 generalization terms in 24,538 calls.
% 6.25/6.47 ; Retrieved 24,224 instance terms in 5,789 calls.
% 6.25/6.47 ; Retrieved 8,146,034 unifiable terms in 305,772 calls.
% 6.25/6.47 ;
% 6.25/6.47 ; The agenda of backward simplifiable rows to process has 8 entries:
% 6.25/6.47 ; 8 with value 0
% 6.25/6.47 ; The agenda of rows to process has 76 entries:
% 6.25/6.47 ; 19 with value 8 14 with value 12 8 with value 18
% 6.25/6.47 ; 8 with value 9 4 with value 14 4 with value 19
% 6.25/6.47 ; 2 with value 10 12 with value 15 1 with value 21
% 6.25/6.47 ; 4 with value 11
% 6.25/6.47 ; The agenda of input rows to give has 1 entry:
% 6.25/6.47 ; 1 with value 6
% 6.25/6.47 ; The agenda of rows to give has 375 entries:
% 6.25/6.47 ; 8 with value (4 7) 15 with value (4 13) 2 with value (4 18)
% 6.25/6.47 ; 11 with value (4 8) 124 with value (4 14) 16 with value (4 19)
% 6.25/6.47 ; 2 with value (4 9) 138 with value (4 15) 5 with value (4 20)
% 6.25/6.47 ; 3 with value (4 11) 16 with value (4 16) 12 with value (4 21)
% 6.25/6.47 ; 7 with value (4 12) 14 with value (4 17) 2 with value (4 29)
% 6.25/6.47 Evaluation took:
% 6.25/6.51 5.989 seconds of real time
% 6.25/6.51 5.773308 seconds of user run time
% 6.25/6.51 0.213829 seconds of system run time
% 6.25/6.51 [Run times include 0.361 seconds GC run time.]
% 6.25/6.51 0 calls to %EVAL
% 6.25/6.51 0 page faults and
% 6.25/6.51 390,274,272 bytes consed.
% 6.25/6.51 :PROOF-FOUND
% 6.25/6.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T17:58:00
% 6.25/6.51 :PROOF-FOUND
% 6.25/6.51 *
%------------------------------------------------------------------------------