TSTP Solution File: GEO610+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO610+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 06:16:57 EDT 2022
% Result : Theorem 5.49s 5.69s
% Output : Refutation 5.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of clauses : 51 ( 26 unt; 0 nHn; 26 RR)
% Number of literals : 95 ( 0 equ; 45 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 : 195 ( 48 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(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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(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(114,negated_conjecture,
perp('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618072) ).
cnf(120,negated_conjecture,
( ~ eqangle('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV22')
| ~ eqangle('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22')
| ~ eqangle('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV23')
| ~ eqangle('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618072) ).
cnf(127,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,114]) ).
cnf(149,plain,
para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,127,114]) ).
cnf(177,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,149]) ).
cnf(1210,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,177]) ).
cnf(1211,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,177]) ).
cnf(2838,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1211]) ).
cnf(2844,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,2838]) ).
cnf(2851,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,2844,2844]) ).
cnf(4155,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,2851,2851]) ).
cnf(4159,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,4155]) ).
cnf(4161,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,4155]) ).
cnf(4166,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[4161,1210]) ).
cnf(4181,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,4166,4166]) ).
cnf(4185,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,4181,4181]) ).
cnf(4198,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,4185,4185]) ).
cnf(4199,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,4198]) ).
cnf(4200,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,4198]) ).
cnf(4201,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,4198]) ).
cnf(4202,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,4198]) ).
cnf(4214,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[4202,4201]) ).
cnf(4237,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[4199,4214,4214]) ).
cnf(4242,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,4237]) ).
cnf(4244,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[4200,4237]) ).
cnf(4248,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[4159,4244,4201]) ).
cnf(4287,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[4242,4248]) ).
cnf(4288,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,4287]) ).
cnf(4291,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,4288]) ).
cnf(4294,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,4291]) ).
cnf(4311,plain,
eqangle(X,Y,Z,U,V,W,V,W),
inference('HYPERRESOLVE',[status(thm)],[20,4294]) ).
cnf(4323,plain,
eqangle(X,Y,Z,U,V,W,X1,Y1),
inference('HYPERRESOLVE',[status(thm)],[21,4311,4294]) ).
cnf(4324,plain,
$false,
inference('REWRITE',[status(thm)],[120,4323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO610+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n014.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 16:48:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T16:48:04
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T16:48:04
% 0.37/0.52
% 0.37/0.53 WARNING: In quantification, variable ?M is being rebound.
% 0.37/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 5.49/5.69 ; Declaring coll to be commutative.
% 5.49/5.69
% 5.49/5.69 #||
% 5.49/5.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.49/5.69 % SZS output start Refutation
% See solution above
% 5.55/5.70 ||#
% 5.55/5.70
% 5.55/5.70 ; Summary of computation:
% 5.55/5.70 ; 32171 formulas have been input or derived (from 610 formulas).
% 5.55/5.70 ; 4324 (13%) were retained. Of these,
% 5.55/5.70 ; 4296 (99%) were simplified or subsumed later,
% 5.55/5.70 ; 28 ( 1%) are still being kept.
% 5.55/5.70 ;
% 5.55/5.70 ; Run time in seconds excluding printing time:
% 5.55/5.70 ; 0.033 1% Read assertion file (1 call)
% 5.55/5.70 ; 0.005 0% Assert (95 calls)
% 5.55/5.70 ; 0.249 5% Process new row (31,148 calls)
% 5.55/5.70 ; 4.491 86% Resolution (1,218 calls)
% 5.55/5.70 ; 0.000 0% Paramodulation (609 calls)
% 5.55/5.70 ; 0.004 0% Condensing (166 calls)
% 5.55/5.70 ; 0.004 0% Forward subsumption (166 calls)
% 5.55/5.70 ; 0.003 0% Backward subsumption (162 calls)
% 5.55/5.70 ; 0.005 0% Clause clause subsumption (199 calls)
% 5.55/5.70 ; 0.082 2% Forward simplification (20,696 calls)
% 5.55/5.70 ; 0.231 4% Backward simplification (4,324 calls)
% 5.55/5.70 ; 0.000 0% Ordering (44 calls)
% 5.55/5.70 ; 0.000 0% Sortal reasoning (32 calls)
% 5.55/5.70 ; 0.000 0% Purity testing (1 call)
% 5.55/5.70 ; 0.098 2% Other
% 5.55/5.70 ; 5.205 Total
% 5.55/5.70 ; 5.221 Real time
% 5.55/5.70 ;
% 5.55/5.70 ; Term-hash-array has 5,906 terms in all.
% 5.55/5.70 ; Feature-vector-row-index has 15 entries (129 at peak, 162 added, 147 deleted).
% 5.55/5.70 ; Feature-vector-row-index has 13 nodes (273 at peak, 323 added, 310 deleted).
% 5.55/5.70 ; Retrieved 168 possibly forward subsuming rows in 166 calls.
% 5.55/5.70 ; Retrieved 70 possibly backward subsumed rows in 162 calls.
% 5.55/5.70 ; Path-index has 37 entries (4,483 at peak, 5,955 added, 5,918 deleted).
% 5.55/5.70 ; Path-index has 559 nodes (1,467 at peak, 1,885 added, 1,326 deleted).
% 5.55/5.70 ; Trie-index has 37 entries (4,483 at peak, 5,955 added, 5,918 deleted).
% 5.55/5.70 ; Trie-index has 71 nodes (12,070 at peak, 15,683 added, 15,612 deleted).
% 5.55/5.70 ; Retrieved 22,242 generalization terms in 20,666 calls.
% 5.55/5.70 ; Retrieved 15,593 instance terms in 4,161 calls.
% 5.55/5.70 ; Retrieved 6,575,155 unifiable terms in 316,597 calls.
% 5.55/5.70 ;
% 5.55/5.70 ; The agenda of backward simplifiable rows to process has 1 entry:
% 5.55/5.70 ; 1 with value 0
% 5.55/5.70 ; The agenda of rows to process has 13 entries:
% 5.55/5.70 ; 13 with value 12
% 5.55/5.70 ; The agenda of rows to give has 5 entries:
% 5.55/5.70 ; 3 with value (4 11) 1 with value (4 12) 1 with value (4 14)
% 5.55/5.70 Evaluation took:
% 5.55/5.70 5.221 seconds of real time
% 5.55/5.70 5.064292 seconds of user run time
% 5.55/5.70 0.156958 seconds of system run time
% 5.55/5.70 [Run times include 0.254 seconds GC run time.]
% 5.55/5.70 0 calls to %EVAL
% 5.55/5.70 0 page faults and
% 5.55/5.70 355,012,592 bytes consed.
% 5.55/5.70 :PROOF-FOUND
% 5.55/5.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T16:48:09
% 5.55/5.70 :PROOF-FOUND
% 5.55/5.70 *
%------------------------------------------------------------------------------