TSTP Solution File: GEO606+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO606+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 06:16:56 EDT 2022
% Result : Theorem 19.37s 19.57s
% Output : Refutation 19.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of clauses : 59 ( 32 unt; 0 nHn; 38 RR)
% Number of literals : 104 ( 0 equ; 50 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 : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 177 ( 29 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(6,axiom,
( ~ perp(X,Y,Z,U)
| perp(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(9,axiom,
( ~ para(X,Y,Z,U)
| ~ perp(Z,U,V,W)
| perp(X,Y,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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(53,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(X,Y,U)
| perp(Y,Z,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(112,negated_conjecture,
perp('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).
cnf(116,negated_conjecture,
circle('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV34'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).
cnf(122,negated_conjecture,
circle('SKOLEMAAAV22','SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV38'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).
cnf(124,negated_conjecture,
~ perp('SKOLEMAAAV28','SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).
cnf(133,plain,
perp('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[7,112]) ).
cnf(134,plain,
~ perp('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[7,124]) ).
cnf(177,plain,
para('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[8,133,112]) ).
cnf(187,plain,
~ perp('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[6,134]) ).
cnf(241,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,177]) ).
cnf(3214,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,241]) ).
cnf(3215,plain,
eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[18,241]) ).
cnf(5776,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,3215]) ).
cnf(5782,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,5776]) ).
cnf(5785,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,5782,5782]) ).
cnf(10772,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,5785,5785]) ).
cnf(10776,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,10772]) ).
cnf(10778,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,10772]) ).
cnf(10779,plain,
( ~ circle(X,Y,Z,U)
| perp(Y,Z,Z,U) ),
inference('REWRITE',[status(thm)],[53,10772]) ).
cnf(10781,plain,
perp('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV38'),
inference('HYPERRESOLVE',[status(thm)],[10779,122]) ).
cnf(10785,plain,
perp('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV34'),
inference('HYPERRESOLVE',[status(thm)],[10779,116]) ).
cnf(10804,plain,
cyclic('SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV23',X),
inference('HYPERRESOLVE',[status(thm)],[10778,3214]) ).
cnf(10819,plain,
perp('SKOLEMAAAV28','SKOLEMAAAV38','SKOLEMAAAV27','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[7,10781]) ).
cnf(10916,plain,
~ para('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV38'),
inference('UR-RESOLVE',[status(thm)],[9,10819,187]) ).
cnf(11091,plain,
~ perp('SKOLEMAAAV25','SKOLEMAAAV34','SKOLEMAAAV28','SKOLEMAAAV38'),
inference('UR-RESOLVE',[status(thm)],[8,10916,10785]) ).
cnf(11517,plain,
cyclic('SKOLEMAAAV22','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,10804,10804]) ).
cnf(12201,plain,
cyclic('SKOLEMAAAV23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,11517,11517]) ).
cnf(13528,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,12201,12201]) ).
cnf(13529,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,13528]) ).
cnf(13530,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,13528]) ).
cnf(13531,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,13528]) ).
cnf(13532,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,13528]) ).
cnf(13621,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[13532,13531]) ).
cnf(13816,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[13529,13621,13621]) ).
cnf(13821,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,13816]) ).
cnf(13823,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[13530,13816]) ).
cnf(13827,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[10776,13823,13531]) ).
cnf(13957,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[13821,13827]) ).
cnf(13958,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,13957]) ).
cnf(13959,plain,
$false,
inference('REWRITE',[status(thm)],[11091,13958]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% 0.14/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 04:31:38 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.51 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.52 *
% 0.22/0.52 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:31:39
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T04:31:39
% 0.39/0.57
% 0.39/0.57 WARNING: In quantification, variable ?M is being rebound.
% 0.39/0.57 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 19.37/19.57 ; Declaring coll to be commutative.
% 19.37/19.57
% 19.37/19.57 #||
% 19.37/19.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.37/19.57 % SZS output start Refutation
% See solution above
% 19.37/19.58 ||#
% 19.37/19.58
% 19.37/19.58 ; Summary of computation:
% 19.37/19.58 ; 82027 formulas have been input or derived (from 1017 formulas).
% 19.37/19.58 ; 13959 (17%) were retained. Of these,
% 19.37/19.58 ; 10551 (76%) were simplified or subsumed later,
% 19.37/19.58 ; 3408 (24%) are still being kept.
% 19.37/19.58 ;
% 19.37/19.58 ; Run time in seconds excluding printing time:
% 19.37/19.58 ; 0.032 0% Read assertion file (1 call)
% 19.37/19.58 ; 0.006 0% Assert (95 calls)
% 19.37/19.58 ; 0.899 5% Process new row (80,553 calls)
% 19.37/19.58 ; 16.700 88% Resolution (2,032 calls)
% 19.37/19.58 ; 0.003 0% Paramodulation (1,016 calls)
% 19.37/19.58 ; 0.003 0% Condensing (143 calls)
% 19.37/19.58 ; 0.001 0% Forward subsumption (143 calls)
% 19.37/19.58 ; 0.003 0% Backward subsumption (142 calls)
% 19.37/19.58 ; 0.003 0% Clause clause subsumption (179 calls)
% 19.37/19.58 ; 0.380 2% Forward simplification (51,677 calls)
% 19.37/19.58 ; 0.774 4% Backward simplification (13,959 calls)
% 19.37/19.58 ; 0.000 0% Ordering (28 calls)
% 19.37/19.58 ; 0.000 0% Sortal reasoning (32 calls)
% 19.37/19.58 ; 0.001 0% Purity testing (1 call)
% 19.37/19.58 ; 0.246 1% Other
% 19.37/19.58 ; 19.051 Total
% 19.37/19.58 ; 19.054 Real time
% 19.37/19.58 ;
% 19.37/19.58 ; Term-hash-array has 18,759 terms in all.
% 19.37/19.58 ; Feature-vector-row-index has 60 entries (121 at peak, 142 added, 82 deleted).
% 19.37/19.58 ; Feature-vector-row-index has 78 nodes (222 at peak, 245 added, 167 deleted).
% 19.37/19.58 ; Retrieved 159 possibly forward subsuming rows in 143 calls.
% 19.37/19.58 ; Retrieved 58 possibly backward subsumed rows in 142 calls.
% 19.37/19.58 ; Path-index has 3,523 entries (12,864 at peak, 18,804 added, 15,281 deleted).
% 19.37/19.58 ; Path-index has 2,110 nodes (3,158 at peak, 4,347 added, 2,237 deleted).
% 19.37/19.58 ; Trie-index has 3,523 entries (12,864 at peak, 18,804 added, 15,281 deleted).
% 19.37/19.58 ; Trie-index has 12,023 nodes (40,940 at peak, 60,159 added, 48,136 deleted).
% 19.37/19.58 ; Retrieved 63,734 generalization terms in 51,609 calls.
% 19.37/19.58 ; Retrieved 55,903 instance terms in 13,816 calls.
% 19.37/19.58 ; Retrieved 24,750,201 unifiable terms in 1,215,454 calls.
% 19.37/19.58 ;
% 19.37/19.58 ; The agenda of backward simplifiable rows to process has 8 entries:
% 19.37/19.58 ; 8 with value 0
% 19.37/19.58 ; The agenda of rows to process has 216 entries:
% 19.37/19.58 ; 13 with value 8 6 with value 13 16 with value 19
% 19.37/19.58 ; 22 with value 9 26 with value 14 8 with value 20
% 19.37/19.58 ; 14 with value 10 12 with value 15 1 with value 21
% 19.37/19.58 ; 20 with value 11 4 with value 16 18 with value 24
% 19.37/19.58 ; 32 with value 12 18 with value 18 6 with value 25
% 19.37/19.58 ; The agenda of input rows to give has 1 entry:
% 19.37/19.58 ; 1 with value 6
% 19.37/19.58 ; The agenda of rows to give has 3068 entries:
% 19.37/19.58 ; 2 with value (4 7) 40 with value (4 13) 151 with value (4 19)
% 19.37/19.58 ; 17 with value (4 8) 450 with value (4 14) 223 with value (4 20)
% 19.37/19.58 ; 1 with value (4 9) 311 with value (4 15) 281 with value (4 21)
% 19.37/19.58 ; 3 with value (4 10) 318 with value (4 16) 64 with value (4 22)
% 19.37/19.58 ; 4 with value (4 11) 329 with value (4 17) 6 with value (4 23)
% 19.37/19.58 ; 15 with value (4 12) 851 with value (4 18) 2 with value (4 29)
% 19.37/19.58 Evaluation took:
% 19.37/19.58 19.055 seconds of real time
% 19.37/19.58 18.586176 seconds of user run time
% 19.37/19.58 0.470161 seconds of system run time
% 19.37/19.58 [Run times include 1.052 seconds GC run time.]
% 19.37/19.58 0 calls to %EVAL
% 19.37/19.58 0 page faults and
% 19.37/19.58 1,233,754,240 bytes consed.
% 19.37/19.58 :PROOF-FOUND
% 19.37/19.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:31:58
% 19.37/19.58 :PROOF-FOUND
% 19.37/19.58 *
%------------------------------------------------------------------------------