TSTP Solution File: GEO596+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO596+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 06:16:53 EDT 2022
% Result : Theorem 4.22s 4.44s
% Output : Refutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of clauses : 42 ( 22 unt; 0 nHn; 24 RR)
% Number of literals : 75 ( 0 equ; 38 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 155 ( 18 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(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(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(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(48,axiom,
( ~ circle(X,Y,Z,U)
| ~ perp(X,Y,Y,V)
| eqangle(Y,V,Y,Z,U,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
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(72,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ para(V,W,X1,Y1)
| para(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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(116,negated_conjecture,
para('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416058) ).
cnf(118,negated_conjecture,
~ eqangle('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416058) ).
cnf(133,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25',X,Y,'SKOLEMAAAV27','SKOLEMAAAV26',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,116]) ).
cnf(137,plain,
~ eqangle('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[17,118]) ).
cnf(1321,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,133]) ).
cnf(1324,plain,
~ eqangle('SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[19,137]) ).
cnf(1561,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[19,1321]) ).
cnf(1571,plain,
~ eqangle('SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[17,1324]) ).
cnf(1941,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,1561,116]) ).
cnf(1944,plain,
eqangle(X,Y,X,Y,Z,U,Z,U),
inference('HYPERRESOLVE',[status(thm)],[21,1561,1321]) ).
cnf(1948,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,1941]) ).
cnf(1951,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,1948,1948]) ).
cnf(3299,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,1951,1951]) ).
cnf(3305,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,3299]) ).
cnf(3392,plain,
~ eqangle('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[19,1571]) ).
cnf(3640,plain,
cyclic(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[3305,1944]) ).
cnf(3643,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,3640,3640]) ).
cnf(3644,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,3643]) ).
cnf(3645,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,3643]) ).
cnf(3646,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,3643]) ).
cnf(3647,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,3643]) ).
cnf(3705,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[3647,3646]) ).
cnf(3736,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[3644,3705,3705]) ).
cnf(3743,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[3645,3736]) ).
cnf(3744,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,V,Y,Z,U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[48,3736]) ).
cnf(3786,plain,
eqangle(X,Y,X,Z,U,X,U,Z),
inference('HYPERRESOLVE',[status(thm)],[3744,3743]) ).
cnf(3787,plain,
$false,
inference('REWRITE',[status(thm)],[3392,3786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n004.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 13:33:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:33:09
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T13:33:09
% 0.18/0.50
% 0.18/0.50 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.51 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 4.22/4.44 ; Declaring coll to be commutative.
% 4.22/4.44
% 4.22/4.44 #||
% 4.22/4.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.22/4.44 % SZS output start Refutation
% See solution above
% 4.22/4.45 ||#
% 4.22/4.45
% 4.22/4.45 ; Summary of computation:
% 4.22/4.45 ; 30233 formulas have been input or derived (from 536 formulas).
% 4.22/4.45 ; 3787 (13%) were retained. Of these,
% 4.22/4.45 ; 3280 (87%) were simplified or subsumed later,
% 4.22/4.45 ; 507 (13%) are still being kept.
% 4.22/4.45 ;
% 4.22/4.45 ; Run time in seconds excluding printing time:
% 4.22/4.45 ; 0.032 1% Read assertion file (1 call)
% 4.22/4.45 ; 0.005 0% Assert (95 calls)
% 4.22/4.45 ; 0.183 5% Process new row (29,494 calls)
% 4.22/4.45 ; 3.371 85% Resolution (1,070 calls)
% 4.22/4.45 ; 0.012 0% Paramodulation (535 calls)
% 4.22/4.45 ; 0.001 0% Condensing (137 calls)
% 4.22/4.45 ; 0.002 0% Forward subsumption (137 calls)
% 4.22/4.45 ; 0.001 0% Backward subsumption (136 calls)
% 4.22/4.45 ; 0.002 0% Clause clause subsumption (174 calls)
% 4.22/4.45 ; 0.079 2% Forward simplification (18,955 calls)
% 4.22/4.45 ; 0.198 5% Backward simplification (3,787 calls)
% 4.22/4.45 ; 0.000 0% Ordering (16 calls)
% 4.22/4.45 ; 0.000 0% Sortal reasoning (32 calls)
% 4.22/4.45 ; 0.001 0% Purity testing (1 call)
% 4.22/4.45 ; 0.097 2% Other
% 4.22/4.45 ; 3.984 Total
% 4.22/4.45 ; 3.987 Real time
% 4.22/4.45 ;
% 4.22/4.45 ; Term-hash-array has 5,224 terms in all.
% 4.22/4.45 ; Feature-vector-row-index has 72 entries (115 at peak, 136 added, 64 deleted).
% 4.22/4.45 ; Feature-vector-row-index has 97 nodes (194 at peak, 217 added, 120 deleted).
% 4.22/4.45 ; Retrieved 156 possibly forward subsuming rows in 137 calls.
% 4.22/4.45 ; Retrieved 56 possibly backward subsumed rows in 136 calls.
% 4.22/4.45 ; Path-index has 597 entries (4,045 at peak, 5,258 added, 4,661 deleted).
% 4.22/4.45 ; Path-index has 1,165 nodes (1,198 at peak, 1,733 added, 568 deleted).
% 4.22/4.45 ; Trie-index has 597 entries (4,045 at peak, 5,258 added, 4,661 deleted).
% 4.22/4.45 ; Trie-index has 2,269 nodes (10,429 at peak, 14,093 added, 11,824 deleted).
% 4.22/4.45 ; Retrieved 23,083 generalization terms in 18,878 calls.
% 4.22/4.45 ; Retrieved 14,144 instance terms in 3,650 calls.
% 4.22/4.45 ; Retrieved 5,451,089 unifiable terms in 272,640 calls.
% 4.22/4.45 ;
% 4.22/4.45 ; The agenda of rows to process has 3 entries:
% 4.22/4.45 ; 3 with value 11
% 4.22/4.45 ; The agenda of input rows to give has 3 entries:
% 4.22/4.45 ; 3 with value 18
% 4.22/4.45 ; The agenda of rows to give has 301 entries:
% 4.22/4.45 ; 1 with value (4 6) 15 with value (4 13) 15 with value (4 18)
% 4.22/4.45 ; 3 with value (4 7) 113 with value (4 14) 9 with value (4 19)
% 4.22/4.45 ; 8 with value (4 8) 88 with value (4 15) 2 with value (4 20)
% 4.22/4.45 ; 4 with value (4 10) 10 with value (4 16) 4 with value (4 24)
% 4.22/4.45 ; 5 with value (4 11) 14 with value (4 17) 2 with value (4 29)
% 4.22/4.45 ; 8 with value (4 12)
% 4.22/4.45 Evaluation took:
% 4.22/4.45 3.988 seconds of real time
% 4.22/4.45 3.838684 seconds of user run time
% 4.22/4.45 0.149641 seconds of system run time
% 4.22/4.45 [Run times include 0.165 seconds GC run time.]
% 4.22/4.45 0 calls to %EVAL
% 4.22/4.45 0 page faults and
% 4.22/4.45 287,703,576 bytes consed.
% 4.22/4.45 :PROOF-FOUND
% 4.22/4.45 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:33:12
% 4.22/4.45 :PROOF-FOUND
% 4.22/4.45 *
%------------------------------------------------------------------------------