TSTP Solution File: GEO609+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO609+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:16:57 EDT 2022
% Result : Theorem 7.43s 7.64s
% Output : Refutation 7.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 39 ( 21 unt; 0 nHn; 25 RR)
% Number of literals : 68 ( 0 equ; 33 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 136 ( 13 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(3,axiom,
( ~ para(X,Y,Z,U)
| para(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
cnf(4,axiom,
( ~ para(X,Y,Z,U)
| para(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
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(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/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(49,axiom,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,V,Y,Z,U,Y,U,Z)
| perp(X,Y,Y,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
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(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
cnf(113,negated_conjecture,
para('SKOLEMAAAR22','SKOLEMAAAR23','SKOLEMAAAR25','SKOLEMAAAR21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618071) ).
cnf(114,negated_conjecture,
circle('SKOLEMAAAR24','SKOLEMAAAR21','SKOLEMAAAR25','SKOLEMAAAR28'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618071) ).
cnf(119,negated_conjecture,
~ para('SKOLEMAAAR26','SKOLEMAAAR27','SKOLEMAAAR21','SKOLEMAAAR24'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618071) ).
cnf(125,plain,
~ para('SKOLEMAAAR26','SKOLEMAAAR27','SKOLEMAAAR24','SKOLEMAAAR21'),
inference('UR-RESOLVE',[status(thm)],[3,119]) ).
cnf(137,plain,
eqangle('SKOLEMAAAR22','SKOLEMAAAR23',X,Y,'SKOLEMAAAR25','SKOLEMAAAR21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,113]) ).
cnf(156,plain,
~ para('SKOLEMAAAR24','SKOLEMAAAR21','SKOLEMAAAR26','SKOLEMAAAR27'),
inference('UR-RESOLVE',[status(thm)],[4,125]) ).
cnf(1529,plain,
eqangle('SKOLEMAAAR22','SKOLEMAAAR23','SKOLEMAAAR25','SKOLEMAAAR21',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,137]) ).
cnf(2140,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAR22','SKOLEMAAAR23','SKOLEMAAAR25','SKOLEMAAAR21'),
inference('HYPERRESOLVE',[status(thm)],[19,1529]) ).
cnf(3993,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,2140,113]) ).
cnf(3996,plain,
eqangle(X,Y,X,Y,Z,U,Z,U),
inference('HYPERRESOLVE',[status(thm)],[21,2140,1529]) ).
cnf(4001,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3993]) ).
cnf(4005,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4001,4001]) ).
cnf(5025,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4005,4005]) ).
cnf(5031,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,5025]) ).
cnf(6694,plain,
cyclic(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[5031,3996]) ).
cnf(6699,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,6694,6694]) ).
cnf(6702,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,6699]) ).
cnf(6703,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,6699]) ).
cnf(6708,plain,
perp('SKOLEMAAAR24','SKOLEMAAAR21','SKOLEMAAAR21','SKOLEMAAAR21'),
inference('HYPERRESOLVE',[status(thm)],[49,6702,114]) ).
cnf(6802,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[6703,6702]) ).
cnf(6847,plain,
~ perp('SKOLEMAAAR21','SKOLEMAAAR21','SKOLEMAAAR26','SKOLEMAAAR27'),
inference('UR-RESOLVE',[status(thm)],[8,6708,156]) ).
cnf(6874,plain,
perp(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[56,6802,6802]) ).
cnf(6875,plain,
$false,
inference('REWRITE',[status(thm)],[6847,6874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO609+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n006.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 04:18:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:18:56
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T04:18:56
% 0.21/0.52
% 0.21/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 7.43/7.64 ; Declaring coll to be commutative.
% 7.43/7.64
% 7.43/7.64 #||
% 7.43/7.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.43/7.64 % SZS output start Refutation
% See solution above
% 7.43/7.64 ||#
% 7.43/7.64
% 7.43/7.64 ; Summary of computation:
% 7.43/7.64 ; 43102 formulas have been input or derived (from 996 formulas).
% 7.43/7.64 ; 6875 (16%) were retained. Of these,
% 7.43/7.64 ; 5037 (73%) were simplified or subsumed later,
% 7.43/7.64 ; 1838 (27%) are still being kept.
% 7.43/7.64 ;
% 7.43/7.64 ; Run time in seconds excluding printing time:
% 7.43/7.64 ; 0.025 0% Read assertion file (1 call)
% 7.43/7.64 ; 0.002 0% Assert (95 calls)
% 7.43/7.64 ; 0.405 6% Process new row (41,511 calls)
% 7.43/7.64 ; 6.027 85% Resolution (1,990 calls)
% 7.43/7.64 ; 0.013 0% Paramodulation (995 calls)
% 7.43/7.64 ; 0.002 0% Condensing (143 calls)
% 7.43/7.64 ; 0.002 0% Forward subsumption (143 calls)
% 7.43/7.64 ; 0.002 0% Backward subsumption (142 calls)
% 7.43/7.64 ; 0.002 0% Clause clause subsumption (174 calls)
% 7.43/7.64 ; 0.166 2% Forward simplification (30,870 calls)
% 7.43/7.64 ; 0.330 5% Backward simplification (6,875 calls)
% 7.43/7.64 ; 0.000 0% Ordering (28 calls)
% 7.43/7.64 ; 0.000 0% Sortal reasoning (32 calls)
% 7.43/7.64 ; 0.000 0% Purity testing (1 call)
% 7.43/7.64 ; 0.145 2% Other
% 7.43/7.64 ; 7.121 Total
% 7.43/7.64 ; 7.157 Real time
% 7.43/7.64 ;
% 7.43/7.64 ; Term-hash-array has 8,763 terms in all.
% 7.43/7.64 ; Feature-vector-row-index has 71 entries (123 at peak, 142 added, 71 deleted).
% 7.43/7.64 ; Feature-vector-row-index has 91 nodes (242 at peak, 259 added, 168 deleted).
% 7.43/7.64 ; Retrieved 156 possibly forward subsuming rows in 143 calls.
% 7.43/7.64 ; Retrieved 56 possibly backward subsumed rows in 142 calls.
% 7.43/7.64 ; Path-index has 1,925 entries (5,234 at peak, 8,797 added, 6,872 deleted).
% 7.43/7.64 ; Path-index has 1,156 nodes (1,299 at peak, 1,766 added, 610 deleted).
% 7.43/7.64 ; Trie-index has 1,925 entries (5,234 at peak, 8,797 added, 6,872 deleted).
% 7.43/7.64 ; Trie-index has 6,284 nodes (13,337 at peak, 23,283 added, 16,999 deleted).
% 7.43/7.64 ; Retrieved 36,581 generalization terms in 30,809 calls.
% 7.43/7.64 ; Retrieved 30,172 instance terms in 6,732 calls.
% 7.43/7.64 ; Retrieved 7,495,423 unifiable terms in 310,908 calls.
% 7.43/7.64 ;
% 7.43/7.64 ; The agenda of rows to process has 79 entries:
% 7.43/7.64 ; 11 with value 8 18 with value 14 32 with value 19
% 7.43/7.64 ; 1 with value 10 12 with value 16 4 with value 23
% 7.43/7.64 ; 1 with value 12
% 7.43/7.64 ; The agenda of input rows to give has 8 entries:
% 7.43/7.64 ; 2 with value 11 2 with value 16 3 with value 18
% 7.43/7.64 ; 1 with value 12
% 7.43/7.64 ; The agenda of rows to give has 1410 entries:
% 7.43/7.64 ; 3 with value (4 7) 204 with value (4 14) 86 with value (4 20)
% 7.43/7.64 ; 8 with value (4 8) 489 with value (4 15) 56 with value (4 21)
% 7.43/7.64 ; 6 with value (4 10) 58 with value (4 16) 106 with value (4 22)
% 7.43/7.64 ; 6 with value (4 11) 68 with value (4 17) 40 with value (4 23)
% 7.43/7.64 ; 8 with value (4 12) 60 with value (4 18) 4 with value (4 24)
% 7.43/7.64 ; 18 with value (4 13) 190 with value (4 19)
% 7.43/7.64 Evaluation took:
% 7.43/7.64 7.158 seconds of real time
% 7.43/7.64 6.901228 seconds of user run time
% 7.43/7.64 0.222684 seconds of system run time
% 7.43/7.64 [Run times include 0.338 seconds GC run time.]
% 7.43/7.64 0 calls to %EVAL
% 7.43/7.64 0 page faults and
% 7.43/7.64 383,407,176 bytes consed.
% 7.43/7.64 :PROOF-FOUND
% 7.43/7.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:19:03
% 7.43/7.64 :PROOF-FOUND
% 7.43/7.64 *
%------------------------------------------------------------------------------