TSTP Solution File: GEO626+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO626+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 06:17:02 EDT 2022
% Result : Theorem 24.22s 24.42s
% Output : Refutation 24.22s
% 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 : 9 ( 9 usr; 7 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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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(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(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(106,axiom,
( ~ perp(X,Y,Y,Z)
| ~ coll(Z,U,V)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(116,negated_conjecture,
perp('SKOLEMAAAV27','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110990) ).
cnf(122,negated_conjecture,
~ para('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110990) ).
cnf(135,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV27','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,116]) ).
cnf(180,plain,
para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,135,116]) ).
cnf(234,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,180]) ).
cnf(2805,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,234]) ).
cnf(2806,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,234]) ).
cnf(6215,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2806]) ).
cnf(6221,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,6215]) ).
cnf(6229,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,6221,6221]) ).
cnf(11779,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,6229,6229]) ).
cnf(11780,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,11779]) ).
cnf(11783,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,11779]) ).
cnf(11785,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,11779]) ).
cnf(11792,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[11785,2805]) ).
cnf(11829,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,11792,11792]) ).
cnf(11833,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,11829,11829]) ).
cnf(11872,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,11833,11833]) ).
cnf(11873,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,11872]) ).
cnf(11874,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,11872]) ).
cnf(11875,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,11872]) ).
cnf(11876,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,11872]) ).
cnf(11921,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[11876,11875]) ).
cnf(11965,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[11873,11921,11921]) ).
cnf(11970,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,11965]) ).
cnf(11971,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[11780,11965]) ).
cnf(11972,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[11874,11965]) ).
cnf(11976,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[11783,11972,11875]) ).
cnf(11983,plain,
~ perp('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV29','SKOLEMAAAV22'),X),
inference('UR-RESOLVE',[status(thm)],[8,11971,122]) ).
cnf(12042,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[11970,11976]) ).
cnf(12043,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,12042]) ).
cnf(12044,plain,
$false,
inference('REWRITE',[status(thm)],[11983,12043]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO626+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 09:54:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T09:54:23
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T09:54:23
% 0.20/0.52
% 0.20/0.53 WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 24.22/24.42 ; Declaring coll to be commutative.
% 24.22/24.42
% 24.22/24.42 #||
% 24.22/24.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.22/24.42 % SZS output start Refutation
% See solution above
% 24.22/24.42 ||#
% 24.22/24.42
% 24.22/24.42 ; Summary of computation:
% 24.22/24.42 ; 86910 formulas have been input or derived (from 1036 formulas).
% 24.22/24.42 ; 12044 (14%) were retained. Of these,
% 24.22/24.42 ; 11554 (96%) were simplified or subsumed later,
% 24.22/24.42 ; 490 ( 4%) are still being kept.
% 24.22/24.42 ;
% 24.22/24.42 ; Run time in seconds excluding printing time:
% 24.22/24.42 ; 0.033 0% Read assertion file (1 call)
% 24.22/24.42 ; 0.006 0% Assert (95 calls)
% 24.22/24.42 ; 0.728 3% Process new row (85,345 calls)
% 24.22/24.42 ; 21.785 91% Resolution (2,070 calls)
% 24.22/24.42 ; 0.006 0% Paramodulation (1,035 calls)
% 24.22/24.42 ; 0.004 0% Condensing (150 calls)
% 24.22/24.42 ; 0.002 0% Forward subsumption (150 calls)
% 24.22/24.42 ; 0.000 0% Backward subsumption (148 calls)
% 24.22/24.42 ; 0.002 0% Clause clause subsumption (180 calls)
% 24.22/24.42 ; 0.281 1% Forward simplification (55,458 calls)
% 24.22/24.42 ; 0.830 3% Backward simplification (12,044 calls)
% 24.22/24.42 ; 0.000 0% Ordering (40 calls)
% 24.22/24.42 ; 0.000 0% Sortal reasoning (32 calls)
% 24.22/24.42 ; 0.000 0% Purity testing (1 call)
% 24.22/24.42 ; 0.259 1% Other
% 24.22/24.42 ; 23.936 Total
% 24.22/24.42 ; 23.944 Real time
% 24.22/24.42 ;
% 24.22/24.42 ; Term-hash-array has 16,871 terms in all.
% 24.22/24.42 ; Feature-vector-row-index has 60 entries (127 at peak, 148 added, 88 deleted).
% 24.22/24.42 ; Feature-vector-row-index has 78 nodes (251 at peak, 274 added, 196 deleted).
% 24.22/24.42 ; Retrieved 160 possibly forward subsuming rows in 150 calls.
% 24.22/24.42 ; Retrieved 58 possibly backward subsumed rows in 148 calls.
% 24.22/24.42 ; Path-index has 600 entries (13,919 at peak, 16,910 added, 16,310 deleted).
% 24.22/24.42 ; Path-index has 1,116 nodes (1,738 at peak, 2,355 added, 1,239 deleted).
% 24.22/24.42 ; Trie-index has 600 entries (13,919 at peak, 16,910 added, 16,310 deleted).
% 24.22/24.42 ; Trie-index has 2,370 nodes (34,310 at peak, 41,715 added, 39,345 deleted).
% 24.22/24.42 ; Retrieved 65,185 generalization terms in 55,417 calls.
% 24.22/24.42 ; Retrieved 38,897 instance terms in 11,895 calls.
% 24.22/24.42 ; Retrieved 29,725,804 unifiable terms in 1,420,347 calls.
% 24.22/24.42 ;
% 24.22/24.42 ; The agenda of backward simplifiable rows to process has 8 entries:
% 24.22/24.42 ; 8 with value 0
% 24.22/24.42 ; The agenda of rows to process has 84 entries:
% 24.22/24.42 ; 15 with value 8 16 with value 12 10 with value 18
% 24.22/24.42 ; 10 with value 9 10 with value 14 4 with value 19
% 24.22/24.42 ; 2 with value 10 12 with value 15 1 with value 21
% 24.22/24.42 ; 4 with value 11
% 24.22/24.42 ; The agenda of input rows to give has 1 entry:
% 24.22/24.42 ; 1 with value 6
% 24.22/24.42 ; The agenda of rows to give has 388 entries:
% 24.22/24.42 ; 8 with value (4 7) 74 with value (4 14) 15 with value (4 19)
% 24.22/24.42 ; 11 with value (4 8) 178 with value (4 15) 10 with value (4 20)
% 24.22/24.43 ; 3 with value (4 11) 5 with value (4 16) 10 with value (4 21)
% 24.22/24.43 ; 4 with value (4 12) 14 with value (4 17) 42 with value (4 22)
% 24.22/24.43 ; 8 with value (4 13) 4 with value (4 18) 2 with value (4 29)
% 24.22/24.43 Evaluation took:
% 24.22/24.43 23.945 seconds of real time
% 24.22/24.43 23.484701 seconds of user run time
% 24.22/24.43 0.455917 seconds of system run time
% 24.22/24.43 [Run times include 1.099 seconds GC run time.]
% 24.22/24.43 0 calls to %EVAL
% 24.22/24.43 0 page faults and
% 24.22/24.43 1,446,952,936 bytes consed.
% 24.22/24.43 :PROOF-FOUND
% 24.22/24.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T09:54:47
% 24.22/24.43 :PROOF-FOUND
% 24.22/24.43 *
%------------------------------------------------------------------------------