TSTP Solution File: GEO634+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 06:17:04 EDT 2022
% Result : Theorem 114.09s 114.27s
% Output : Refutation 114.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of clauses : 47 ( 24 unt; 0 nHn; 26 RR)
% Number of literals : 86 ( 0 equ; 41 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 : 159 ( 28 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(120,negated_conjecture,
perp('SKOLEMAAAV29','SKOLEMAAAV27','SKOLEMAAAV22','SKOLEMAAAV23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110997) ).
cnf(124,negated_conjecture,
~ perp('SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV26','SKOLEMAAAV21'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110997) ).
cnf(141,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[7,120]) ).
cnf(143,plain,
~ perp('SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV29','SKOLEMAAAV30'),
inference('UR-RESOLVE',[status(thm)],[7,124]) ).
cnf(232,plain,
para('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,141,120]) ).
cnf(494,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV23',X,Y,'SKOLEMAAAV22','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,232]) ).
cnf(15385,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,494]) ).
cnf(15386,plain,
eqangle(X,Y,'SKOLEMAAAV22','SKOLEMAAAV23',X,Y,'SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,494]) ).
cnf(63269,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,15386]) ).
cnf(63277,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,63269]) ).
cnf(64375,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,63277,63277]) ).
cnf(74251,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,64375,64375]) ).
cnf(74255,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,74251]) ).
cnf(74257,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,74251]) ).
cnf(74318,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22',X),
inference('HYPERRESOLVE',[status(thm)],[74257,15385]) ).
cnf(74675,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,74318,74318]) ).
cnf(76215,plain,
cyclic('SKOLEMAAAV22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,74675,74675]) ).
cnf(80083,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,76215,76215]) ).
cnf(80084,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,80083]) ).
cnf(80085,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,80083]) ).
cnf(80086,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,80083]) ).
cnf(80087,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,80083]) ).
cnf(80161,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[80087,80086]) ).
cnf(80368,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[80084,80161,80161]) ).
cnf(80373,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,80368]) ).
cnf(80375,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[80085,80368]) ).
cnf(80402,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[74255,80375,80086]) ).
cnf(80582,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[80373,80402]) ).
cnf(80583,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,80582]) ).
cnf(80584,plain,
$false,
inference('REWRITE',[status(thm)],[143,80583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n019.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 : Sat Jun 18 05:53:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:53:24
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-18T05:53:24
% 0.36/0.53
% 0.36/0.54 WARNING: In quantification, variable ?M is being rebound.
% 0.36/0.54 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 114.09/114.27 ; Declaring coll to be commutative.
% 114.09/114.27
% 114.09/114.27 #||
% 114.09/114.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 114.09/114.27 % SZS output start Refutation
% See solution above
% 114.09/114.31 ||#
% 114.09/114.31
% 114.09/114.31 ; Summary of computation:
% 114.09/114.31 ; 297510 formulas have been input or derived (from 1943 formulas).
% 114.09/114.31 ; 80584 (27%) were retained. Of these,
% 114.09/114.31 ; 65757 (82%) were simplified or subsumed later,
% 114.09/114.31 ; 14827 (18%) are still being kept.
% 114.09/114.31 ;
% 114.09/114.31 ; Run time in seconds excluding printing time:
% 114.09/114.31 ; 0.032 0% Read assertion file (1 call)
% 114.09/114.31 ; 0.005 0% Assert (95 calls)
% 114.09/114.31 ; 5.352 5% Process new row (292,806 calls)
% 114.09/114.31 ; 95.862 84% Resolution (3,884 calls)
% 114.09/114.31 ; 0.026 0% Paramodulation (1,942 calls)
% 114.09/114.31 ; 0.007 0% Condensing (396 calls)
% 114.09/114.31 ; 0.010 0% Forward subsumption (396 calls)
% 114.09/114.31 ; 0.009 0% Backward subsumption (360 calls)
% 114.09/114.31 ; 0.002 0% Clause clause subsumption (526 calls)
% 114.09/114.31 ; 2.147 2% Forward simplification (235,728 calls)
% 114.09/114.31 ; 9.504 8% Backward simplification (80,584 calls)
% 114.09/114.31 ; 0.001 0% Ordering (464 calls)
% 114.09/114.31 ; 0.001 0% Sortal reasoning (32 calls)
% 114.09/114.31 ; 0.000 0% Purity testing (1 call)
% 114.09/114.31 ; 0.809 1% Other
% 114.09/114.31 ; 113.767 Total
% 114.09/114.31 ; 113.816 Real time
% 114.09/114.31 ;
% 114.09/114.31 ; Term-hash-array has 114,301 terms in all.
% 114.09/114.31 ; Feature-vector-row-index has 122 entries (327 at peak, 360 added, 238 deleted).
% 114.09/114.31 ; Feature-vector-row-index has 330 nodes (823 at peak, 904 added, 574 deleted).
% 114.09/114.31 ; Retrieved 317 possibly forward subsuming rows in 396 calls.
% 114.09/114.31 ; Retrieved 257 possibly backward subsumed rows in 360 calls.
% 114.09/114.31 ; Path-index has 19,840 entries (89,164 at peak, 114,340 added, 94,500 deleted).
% 114.09/114.31 ; Path-index has 2,717 nodes (3,732 at peak, 4,560 added, 1,843 deleted).
% 114.09/114.31 ; Trie-index has 19,840 entries (89,164 at peak, 114,340 added, 94,500 deleted).
% 114.09/114.31 ; Trie-index has 77,600 nodes (254,202 at peak, 328,208 added, 250,608 deleted).
% 114.09/114.31 ; Retrieved 217,321 generalization terms in 235,805 calls.
% 114.09/114.31 ; Retrieved 429,222 instance terms in 80,223 calls.
% 114.09/114.31 ; Retrieved 134,669,669 unifiable terms in 2,728,016 calls.
% 114.09/114.31 ;
% 114.09/114.31 ; The agenda of backward simplifiable rows to process has 8 entries:
% 114.09/114.31 ; 8 with value 0
% 114.09/114.31 ; The agenda of rows to process has 1127 entries:
% 114.09/114.31 ; 27 with value 8 54 with value 14 154 with value 21
% 114.09/114.31 ; 6 with value 9 248 with value 15 316 with value 22
% 114.09/114.31 ; 4 with value 10 16 with value 16 16 with value 23
% 114.09/114.31 ; 10 with value 11 32 with value 18 4 with value 28
% 114.09/114.31 ; 24 with value 12 128 with value 19 8 with value 29
% 114.09/114.31 ; 32 with value 13 48 with value 20
% 114.09/114.31 ; The agenda of input rows to give has 1 entry:
% 114.09/114.31 ; 1 with value 6
% 114.09/114.31 ; The agenda of rows to give has 14376 entries:
% 114.09/114.31 ; 2 with value (4 7) 1048 with value (4 18) 142 with value (4 27)
% 114.09/114.31 ; 7 with value (4 8) 1623 with value (4 19) 492 with value (4 28)
% 114.09/114.31 ; 3 with value (4 11) 371 with value (4 20) 748 with value (4 29)
% 114.09/114.31 ; 8 with value (4 12) 1822 with value (4 21) 15 with value (4 30)
% 114.09/114.31 ; 16 with value (4 13) 4748 with value (4 22) 8 with value (4 31)
% 114.09/114.31 ; 464 with value (4 14) 46 with value (4 23) 9 with value (4 32)
% 114.09/114.31 ; 961 with value (4 15) 77 with value (4 24) 30 with value (4 33)
% 114.09/114.31 ; 263 with value (4 16) 164 with value (4 25) 92 with value (4 34)
% 114.09/114.31 ; 366 with value (4 17) 447 with value (4 26) 404 with value (4 35)
% 114.09/114.31 Evaluation took:
% 114.09/114.31 113.819 seconds of real time
% 114.09/114.31 111.361855 seconds of user run time
% 114.09/114.31 2.449108 seconds of system run time
% 114.09/114.31 [Run times include 10.432 seconds GC run time.]
% 114.09/114.31 0 calls to %EVAL
% 114.09/114.31 0 page faults and
% 114.09/114.31 4,283,619,384 bytes consed.
% 114.09/114.31 :PROOF-FOUND
% 114.09/114.31 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:55:18
% 114.09/114.31 :PROOF-FOUND
% 114.09/114.31 *
%------------------------------------------------------------------------------