TSTP Solution File: GEO560+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO560+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 10.59s 10.82s
% Output : Refutation 10.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of clauses : 65 ( 33 unt; 0 nHn; 34 RR)
% Number of literals : 119 ( 0 equ; 58 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; 7 con; 0-4 aty)
% Number of variables : 244 ( 59 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(11,axiom,
( ~ cong(X,Y,X,Z)
| ~ cong(X,Y,X,U)
| circle(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
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(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(50,axiom,
( ~ circle(X,Y,Z,U)
| ~ midp(V,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(55,axiom,
( ~ midp(X,Y,Z)
| ~ perp(U,X,Y,Z)
| cong(U,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(64,axiom,
( ~ midp(X,Y,Z)
| ~ para(Y,U,Z,V)
| ~ para(Y,V,Z,U)
| midp(X,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(112,negated_conjecture,
perp('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012020) ).
cnf(120,negated_conjecture,
~ eqangle('SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV24'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012020) ).
cnf(134,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV24','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[7,112]) ).
cnf(148,plain,
~ eqangle('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV24'),
inference('UR-RESOLVE',[status(thm)],[17,120]) ).
cnf(189,plain,
para('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,134,112]) ).
cnf(273,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV23',X,Y,'SKOLEMAAAV22','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,189]) ).
cnf(2913,plain,
~ eqangle('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[18,148]) ).
cnf(2948,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,273]) ).
cnf(2949,plain,
eqangle(X,Y,'SKOLEMAAAV22','SKOLEMAAAV23',X,Y,'SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,273]) ).
cnf(5421,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2949]) ).
cnf(5427,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,5421]) ).
cnf(5435,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,5427,5427]) ).
cnf(7671,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,5435,5435]) ).
cnf(7675,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,7671]) ).
cnf(7677,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,7671]) ).
cnf(7681,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22',X),
inference('HYPERRESOLVE',[status(thm)],[7677,2948]) ).
cnf(7684,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,7681,7681]) ).
cnf(7689,plain,
cyclic('SKOLEMAAAV22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,7684,7684]) ).
cnf(7696,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,7689,7689]) ).
cnf(7697,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,7696]) ).
cnf(7698,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,7696]) ).
cnf(7699,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,7696]) ).
cnf(7700,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,7696]) ).
cnf(7707,plain,
~ eqangle(X,'SKOLEMAAAV26',X,'SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[21,7699,2913]) ).
cnf(7723,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[7700,7699]) ).
cnf(7728,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[7697,7723,7723]) ).
cnf(7733,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,7728]) ).
cnf(7735,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[7698,7728]) ).
cnf(7742,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[7675,7735,7699]) ).
cnf(7787,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[7733,7742]) ).
cnf(7788,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,7787]) ).
cnf(7790,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,7788]) ).
cnf(7791,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,7788]) ).
cnf(7792,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,7791]) ).
cnf(7794,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,7791]) ).
cnf(7801,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[7792,7742]) ).
cnf(7802,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,7801]) ).
cnf(7804,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[7790,7801]) ).
cnf(7807,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,7804]) ).
cnf(7808,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[7802,7807]) ).
cnf(7828,plain,
eqangle(X,Y,X,Z,U,V,W,X1),
inference('HYPERRESOLVE',[status(thm)],[21,7808,7794]) ).
cnf(7829,plain,
$false,
inference('REWRITE',[status(thm)],[7707,7828]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO560+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Sat Jun 18 15:57:18 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T15:57:19
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-18T15:57:19
% 0.22/0.55
% 0.22/0.55 WARNING: In quantification, variable ?M is being rebound.
% 0.22/0.55 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 10.59/10.82 ; Declaring coll to be commutative.
% 10.59/10.82
% 10.59/10.82 #||
% 10.59/10.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.59/10.82 % SZS output start Refutation
% See solution above
% 10.59/10.82 ||#
% 10.59/10.82
% 10.59/10.82 ; Summary of computation:
% 10.59/10.82 ; 54028 formulas have been input or derived (from 1066 formulas).
% 10.59/10.82 ; 7829 (14%) were retained. Of these,
% 10.59/10.82 ; 7737 (99%) were simplified or subsumed later,
% 10.59/10.82 ; 92 ( 1%) are still being kept.
% 10.59/10.82 ;
% 10.59/10.82 ; Run time in seconds excluding printing time:
% 10.59/10.82 ; 0.031 0% Read assertion file (1 call)
% 10.59/10.82 ; 0.004 0% Assert (95 calls)
% 10.59/10.82 ; 0.407 4% Process new row (52,383 calls)
% 10.59/10.82 ; 9.150 89% Resolution (2,130 calls)
% 10.59/10.82 ; 0.008 0% Paramodulation (1,065 calls)
% 10.59/10.82 ; 0.002 0% Condensing (173 calls)
% 10.59/10.82 ; 0.003 0% Forward subsumption (173 calls)
% 10.59/10.82 ; 0.002 0% Backward subsumption (170 calls)
% 10.59/10.82 ; 0.002 0% Clause clause subsumption (202 calls)
% 10.59/10.82 ; 0.173 2% Forward simplification (36,083 calls)
% 10.59/10.82 ; 0.351 3% Backward simplification (7,829 calls)
% 10.59/10.82 ; 0.000 0% Ordering (68 calls)
% 10.59/10.82 ; 0.000 0% Sortal reasoning (32 calls)
% 10.59/10.82 ; 0.001 0% Purity testing (1 call)
% 10.59/10.82 ; 0.179 2% Other
% 10.59/10.82 ; 10.313 Total
% 10.59/10.82 ; 10.317 Real time
% 10.59/10.82 ;
% 10.59/10.82 ; Term-hash-array has 10,389 terms in all.
% 10.59/10.82 ; Feature-vector-row-index has 26 entries (137 at peak, 170 added, 144 deleted).
% 10.59/10.82 ; Feature-vector-row-index has 26 nodes (316 at peak, 366 added, 340 deleted).
% 10.59/10.82 ; Retrieved 167 possibly forward subsuming rows in 173 calls.
% 10.59/10.82 ; Retrieved 73 possibly backward subsumed rows in 170 calls.
% 10.59/10.82 ; Path-index has 107 entries (8,177 at peak, 10,430 added, 10,323 deleted).
% 10.59/10.82 ; Path-index has 604 nodes (1,646 at peak, 1,973 added, 1,369 deleted).
% 10.59/10.82 ; Trie-index has 107 entries (8,177 at peak, 10,430 added, 10,323 deleted).
% 10.59/10.82 ; Trie-index has 301 nodes (20,940 at peak, 26,262 added, 25,961 deleted).
% 10.59/10.82 ; Retrieved 37,490 generalization terms in 36,093 calls.
% 10.59/10.82 ; Retrieved 27,770 instance terms in 7,658 calls.
% 10.59/10.82 ; Retrieved 12,584,011 unifiable terms in 617,412 calls.
% 10.59/10.82 ;
% 10.59/10.82 ; The agenda of backward simplifiable rows to process has 1 entry:
% 10.59/10.82 ; 1 with value 0
% 10.59/10.82 ; The agenda of rows to process has 15 entries:
% 10.59/10.82 ; 15 with value 11
% 10.59/10.82 ; The agenda of input rows to give has 1 entry:
% 10.59/10.82 ; 1 with value 10
% 10.59/10.82 ; The agenda of rows to give has 45 entries:
% 10.59/10.82 ; 3 with value (4 7) 3 with value (4 12) 21 with value (4 14)
% 10.59/10.82 ; 1 with value (4 8) 4 with value (4 13) 4 with value (4 15)
% 10.59/10.82 ; 9 with value (4 11)
% 10.59/10.82 Evaluation took:
% 10.59/10.82 10.317 seconds of real time
% 10.59/10.82 10.064219 seconds of user run time
% 10.59/10.82 0.253785 seconds of system run time
% 10.59/10.82 [Run times include 0.5 seconds GC run time.]
% 10.59/10.82 0 calls to %EVAL
% 10.59/10.82 0 page faults and
% 10.59/10.82 661,571,344 bytes consed.
% 10.59/10.82 :PROOF-FOUND
% 10.59/10.82 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T15:57:29
% 10.59/10.82 :PROOF-FOUND
% 10.59/10.82 *
%------------------------------------------------------------------------------