TSTP Solution File: GEO641+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO641+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 06:17:07 EDT 2022
% Result : Theorem 30.53s 30.78s
% Output : Refutation 30.53s
% 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 : 8 ( 8 usr; 6 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/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(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(106,axiom,
( ~ perp(X,Y,Y,Z)
| ~ coll(Z,U,V)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(117,negated_conjecture,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV27'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109107) ).
cnf(120,negated_conjecture,
~ para('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV22','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109107) ).
cnf(129,plain,
perp('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[7,117]) ).
cnf(164,plain,
para('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[8,129,117]) ).
cnf(266,plain,
eqangle('SKOLEMAAAV25','SKOLEMAAAV27',X,Y,'SKOLEMAAAV25','SKOLEMAAAV27',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,164]) ).
cnf(5449,plain,
eqangle('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV27',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,266]) ).
cnf(5450,plain,
eqangle(X,Y,'SKOLEMAAAV25','SKOLEMAAAV27',X,Y,'SKOLEMAAAV25','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[18,266]) ).
cnf(13682,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,5450]) ).
cnf(13688,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,13682]) ).
cnf(13691,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,13688,13688]) ).
cnf(15529,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,13691,13691]) ).
cnf(15530,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,15529]) ).
cnf(15533,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,15529]) ).
cnf(15535,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,15529]) ).
cnf(15556,plain,
cyclic('SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV25',X),
inference('HYPERRESOLVE',[status(thm)],[15535,5449]) ).
cnf(15738,plain,
cyclic('SKOLEMAAAV27','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,15556,15556]) ).
cnf(15744,plain,
cyclic('SKOLEMAAAV25',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,15738,15738]) ).
cnf(15883,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,15744,15744]) ).
cnf(15884,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,15883]) ).
cnf(15885,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,15883]) ).
cnf(15886,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,15883]) ).
cnf(15887,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,15883]) ).
cnf(15953,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[15887,15886]) ).
cnf(16000,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[15884,15953,15953]) ).
cnf(16005,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,16000]) ).
cnf(16006,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[15530,16000]) ).
cnf(16007,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[15885,16000]) ).
cnf(16011,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[15533,16007,15886]) ).
cnf(16022,plain,
~ perp('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV22','SKOLEMAAAV23'),X),
inference('UR-RESOLVE',[status(thm)],[8,16006,120]) ).
cnf(16176,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[16005,16011]) ).
cnf(16177,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,16176]) ).
cnf(16178,plain,
$false,
inference('REWRITE',[status(thm)],[16022,16177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO641+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 02:13:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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 2022-06-18T02:13:44
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-18T02:13:44
% 0.19/0.50
% 0.19/0.50 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)).
% 30.53/30.78 ; Declaring coll to be commutative.
% 30.53/30.78
% 30.53/30.78 #||
% 30.53/30.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.53/30.78 % SZS output start Refutation
% See solution above
% 30.53/30.78 ||#
% 30.53/30.78
% 30.53/30.78 ; Summary of computation:
% 30.53/30.78 ; 91727 formulas have been input or derived (from 1241 formulas).
% 30.53/30.78 ; 16178 (18%) were retained. Of these,
% 30.53/30.78 ; 14668 (91%) were simplified or subsumed later,
% 30.53/30.78 ; 1510 ( 9%) are still being kept.
% 30.53/30.78 ;
% 30.53/30.78 ; Run time in seconds excluding printing time:
% 30.53/30.78 ; 0.031 0% Read assertion file (1 call)
% 30.53/30.78 ; 0.005 0% Assert (95 calls)
% 30.53/30.78 ; 1.017 3% Process new row (89,532 calls)
% 30.53/30.78 ; 27.172 90% Resolution (2,480 calls)
% 30.53/30.78 ; 0.004 0% Paramodulation (1,240 calls)
% 30.53/30.78 ; 0.003 0% Condensing (172 calls)
% 30.53/30.78 ; 0.005 0% Forward subsumption (172 calls)
% 30.53/30.78 ; 0.002 0% Backward subsumption (170 calls)
% 30.53/30.78 ; 0.001 0% Clause clause subsumption (180 calls)
% 30.53/30.78 ; 0.431 1% Forward simplification (67,081 calls)
% 30.53/30.78 ; 1.332 4% Backward simplification (16,178 calls)
% 30.53/30.78 ; 0.001 0% Ordering (84 calls)
% 30.53/30.78 ; 0.000 0% Sortal reasoning (32 calls)
% 30.53/30.78 ; 0.000 0% Purity testing (1 call)
% 30.53/30.78 ; 0.312 1% Other
% 30.53/30.78 ; 30.316 Total
% 30.53/30.78 ; 30.321 Real time
% 30.53/30.78 ;
% 30.53/30.78 ; Term-hash-array has 22,063 terms in all.
% 30.53/30.78 ; Feature-vector-row-index has 60 entries (149 at peak, 170 added, 110 deleted).
% 30.53/30.78 ; Feature-vector-row-index has 78 nodes (374 at peak, 397 added, 319 deleted).
% 30.53/30.78 ; Retrieved 160 possibly forward subsuming rows in 172 calls.
% 30.53/30.78 ; Retrieved 58 possibly backward subsumed rows in 170 calls.
% 30.53/30.78 ; Path-index has 1,679 entries (18,413 at peak, 22,098 added, 20,419 deleted).
% 30.53/30.78 ; Path-index has 1,630 nodes (3,291 at peak, 3,811 added, 2,181 deleted).
% 30.53/30.78 ; Trie-index has 1,679 entries (18,413 at peak, 22,098 added, 20,419 deleted).
% 30.53/30.78 ; Trie-index has 6,511 nodes (75,577 at peak, 99,159 added, 92,648 deleted).
% 30.53/30.78 ; Retrieved 62,782 generalization terms in 67,100 calls.
% 30.53/30.78 ; Retrieved 73,842 instance terms in 16,007 calls.
% 30.53/30.78 ; Retrieved 40,345,683 unifiable terms in 1,157,602 calls.
% 30.53/30.78 ;
% 30.53/30.78 ; The agenda of backward simplifiable rows to process has 8 entries:
% 30.53/30.78 ; 8 with value 0
% 30.53/30.78 ; The agenda of rows to process has 116 entries:
% 30.53/30.78 ; 15 with value 8 12 with value 12 6 with value 18
% 30.53/30.78 ; 6 with value 9 6 with value 14 4 with value 19
% 30.61/30.78 ; 2 with value 10 24 with value 15 8 with value 20
% 30.61/30.78 ; 4 with value 11 28 with value 16 1 with value 21
% 30.61/30.78 ; The agenda of input rows to give has 1 entry:
% 30.61/30.78 ; 1 with value 6
% 30.61/30.78 ; The agenda of rows to give has 1304 entries:
% 30.61/30.78 ; 8 with value (4 7) 361 with value (4 14) 127 with value (4 19)
% 30.61/30.78 ; 7 with value (4 8) 561 with value (4 15) 36 with value (4 20)
% 30.61/30.78 ; 3 with value (4 11) 49 with value (4 16) 40 with value (4 21)
% 30.61/30.78 ; 4 with value (4 12) 18 with value (4 17) 8 with value (4 23)
% 30.61/30.78 ; 18 with value (4 13) 62 with value (4 18) 2 with value (4 29)
% 30.61/30.78 Evaluation took:
% 30.61/30.78 30.322 seconds of real time
% 30.61/30.78 29.693083 seconds of user run time
% 30.61/30.78 0.628226 seconds of system run time
% 30.61/30.78 [Run times include 2.144 seconds GC run time.]
% 30.61/30.78 0 calls to %EVAL
% 30.61/30.78 0 page faults and
% 30.61/30.78 1,565,979,048 bytes consed.
% 30.61/30.78 :PROOF-FOUND
% 30.61/30.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T02:14:14
% 30.61/30.78 :PROOF-FOUND
% 30.61/30.78 *
%------------------------------------------------------------------------------