TSTP Solution File: GEO083-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO083-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:13:44 EDT 2022
% Result : Unsatisfiable 7.38s 7.56s
% Output : Refutation 7.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 16 unt; 3 nHn; 23 RR)
% Number of literals : 37 ( 6 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(part_of_defn_1,axiom,
( ~ part_of(X,Y)
| ~ incident_c(Z,X)
| incident_c(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(part_of_defn_2,axiom,
( incident_c(ax0_sk1(X,Y),X)
| part_of(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(part_of_defn_3,axiom,
( ~ incident_c(ax0_sk1(X,Y),Y)
| part_of(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
cnf(sum_defn_4,axiom,
( X != sum(Y,Z)
| ~ incident_c(U,X)
| incident_c(U,Y)
| incident_c(U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
cnf(sum_defn_5,axiom,
( X != sum(Y,Z)
| ~ incident_c(U,Y)
| incident_c(U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
cnf(sum_defn_6,axiom,
( X != sum(Y,Z)
| ~ incident_c(U,Z)
| incident_c(U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',sum_defn_6) ).
cnf(c8_44,axiom,
( ~ meet(X,Y,Z)
| ax0_sk12(Z,Y) = sum(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c8_44) ).
cnf(corollary_2_6_1_67,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1_67) ).
cnf(corollary_2_6_1_68,negated_conjecture,
meet(sk17,sk14,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1_68) ).
cnf(corollary_2_6_1_69,negated_conjecture,
meet(sk17,sk14,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1_69) ).
cnf(corollary_2_6_1_70,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1_70) ).
cnf(55,plain,
incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk15)),
inference('HYPERRESOLVE',[status(thm)],[corollary_2_6_1_70,part_of_defn_2]) ).
cnf(56,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk16)),
inference('UR-RESOLVE',[status(thm)],[part_of_defn_3,corollary_2_6_1_70]) ).
cnf(61,plain,
ax0_sk12(sk16,sk14) = sum(sk14,sk16),
inference('HYPERRESOLVE',[status(thm)],[c8_44,corollary_2_6_1_69]) ).
cnf(63,plain,
incident_c(ax0_sk1(sum(sk14,sk15),ax0_sk12(sk16,sk14)),sum(sk14,sk15)),
inference('REWRITE',[status(thm)],[55,61,theory(equality)]) ).
cnf(64,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),ax0_sk12(sk16,sk14)),ax0_sk12(sk16,sk14)),
inference('REWRITE',[status(thm)],[56,61,theory(equality)]) ).
cnf(65,plain,
ax0_sk12(sk15,sk14) = sum(sk14,sk15),
inference('HYPERRESOLVE',[status(thm)],[c8_44,corollary_2_6_1_68]) ).
cnf(67,plain,
incident_c(ax0_sk1(ax0_sk12(sk15,sk14),ax0_sk12(sk16,sk14)),ax0_sk12(sk15,sk14)),
inference('REWRITE',[status(thm)],[63,65,theory(equality)]) ).
cnf(68,plain,
~ incident_c(ax0_sk1(ax0_sk12(sk15,sk14),ax0_sk12(sk16,sk14)),ax0_sk12(sk16,sk14)),
inference('REWRITE',[status(thm)],[64,65,theory(equality)]) ).
cnf(15369,plain,
( incident_c(ax0_sk1(ax0_sk12(sk15,sk14),ax0_sk12(sk16,sk14)),sk14)
| incident_c(ax0_sk1(ax0_sk12(sk15,sk14),ax0_sk12(sk16,sk14)),sk15) ),
inference('HYPERRESOLVE',[status(thm)],[sum_defn_4,67,65]) ).
cnf(15379,plain,
~ incident_c(ax0_sk1(ax0_sk12(sk15,sk14),ax0_sk12(sk16,sk14)),sk16),
inference('UR-RESOLVE',[status(thm)],[sum_defn_6,68,61]) ).
cnf(15381,plain,
~ incident_c(ax0_sk1(ax0_sk12(sk15,sk14),ax0_sk12(sk16,sk14)),sk14),
inference('UR-RESOLVE',[status(thm)],[sum_defn_5,68,61]) ).
cnf(15382,plain,
incident_c(ax0_sk1(ax0_sk12(sk15,sk14),ax0_sk12(sk16,sk14)),sk15),
inference('REWRITE',[status(thm)],[15369,15381]) ).
cnf(15390,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[part_of_defn_1,15379,corollary_2_6_1_67]),15382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO083-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 17:14:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T17:14:02
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T17:14:02
% 7.38/7.56
% 7.38/7.56
% 7.38/7.56 #||
% 7.38/7.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.38/7.56 % SZS output start Refutation
% See solution above
% 7.38/7.57 ||#
% 7.38/7.57
% 7.38/7.57 ; Summary of computation:
% 7.38/7.57 ; 39245 formulas have been input or derived (from 708 formulas).
% 7.38/7.57 ; 15390 (39%) were retained. Of these,
% 7.38/7.57 ; 1516 (10%) were simplified or subsumed later,
% 7.38/7.57 ; 13874 (90%) are still being kept.
% 7.38/7.57 ;
% 7.38/7.57 ; Run time in seconds excluding printing time:
% 7.38/7.57 ; 0.011 0% Read assertion file (1 call)
% 7.38/7.57 ; 0.001 0% Assert (52 calls)
% 7.38/7.57 ; 1.565 22% Process new row (33,648 calls)
% 7.38/7.57 ; 2.381 34% Resolution (1,414 calls)
% 7.38/7.57 ; 0.013 0% Paramodulation (707 calls)
% 7.38/7.57 ; 0.000 0% Factoring (19 calls)
% 7.38/7.57 ; 0.104 1% Condensing (11,056 calls)
% 7.38/7.57 ; 1.114 16% Forward subsumption (11,056 calls)
% 7.38/7.57 ; 0.458 6% Backward subsumption (6,688 calls)
% 7.38/7.57 ; 0.340 5% Clause clause subsumption (83,630 calls)
% 7.38/7.57 ; 0.638 9% Forward simplification (33,459 calls)
% 7.38/7.57 ; 0.281 4% Backward simplification (15,390 calls)
% 7.38/7.57 ; 0.039 1% Ordering (19,462 calls)
% 7.38/7.57 ; 0.001 0% Sortal reasoning (32 calls)
% 7.38/7.57 ; 0.000 0% Purity testing (1 call)
% 7.38/7.57 ; 0.152 2% Other
% 7.38/7.57 ; 7.098 Total
% 7.38/7.57 ; 7.100 Real time
% 7.38/7.57 ;
% 7.38/7.57 ; Term-hash-array has 24,442 terms in all.
% 7.38/7.57 ; Feature-vector-row-index has 5,956 entries (5,957 at peak, 6,688 added, 732 deleted).
% 7.38/7.57 ; Feature-vector-row-index has 17,401 nodes (17,412 at peak, 19,177 added, 1,776 deleted).
% 7.38/7.57 ; Retrieved 81,841 possibly forward subsuming rows in 11,056 calls.
% 7.38/7.57 ; Retrieved 25,687 possibly backward subsumed rows in 6,688 calls.
% 7.38/7.57 ; Path-index has 22,762 entries (22,762 at peak, 24,938 added, 2,176 deleted).
% 7.38/7.57 ; Path-index has 11,091 nodes (11,091 at peak, 11,243 added, 152 deleted).
% 7.38/7.57 ; Trie-index has 22,762 entries (22,762 at peak, 24,938 added, 2,176 deleted).
% 7.38/7.57 ; Trie-index has 102,899 nodes (102,899 at peak, 110,685 added, 7,786 deleted).
% 7.38/7.57 ; Retrieved 121,019 generalization terms in 116,619 calls.
% 7.38/7.57 ; Retrieved 14,162 instance terms in 8,701 calls.
% 7.38/7.57 ; Retrieved 3,133,638 unifiable terms in 128,469 calls.
% 7.38/7.57 ;
% 7.38/7.57 ; The agenda of rows to process has 19 entries:
% 7.38/7.57 ; 7 with value 15 2 with value 18 3 with value 21
% 7.38/7.57 ; 2 with value 16 2 with value 19 2 with value 26
% 7.38/7.57 ; 1 with value 17
% 7.38/7.57 ; The agenda of rows to give has 13170 entries:
% 7.38/7.57 ; 3 with value (4 14) 385 with value (4 32) 16 with value (4 51)
% 7.38/7.57 ; 335 with value (4 15) 242 with value (4 33) 8 with value (4 52)
% 7.38/7.57 ; 366 with value (4 16) 222 with value (4 34) 2 with value (4 53)
% 7.38/7.57 ; 554 with value (4 17) 1268 with value (4 35) 69 with value (4 54)
% 7.38/7.57 ; 586 with value (4 18) 368 with value (4 36) 40 with value (4 55)
% 7.38/7.57 ; 541 with value (4 19) 426 with value (4 37) 28 with value (4 56)
% 7.38/7.57 ; 572 with value (4 20) 36 with value (4 38) 72 with value (4 57)
% 7.38/7.57 ; 265 with value (4 21) 229 with value (4 39) 50 with value (4 60)
% 7.38/7.57 ; 461 with value (4 22) 108 with value (4 40) 6 with value (4 62)
% 7.38/7.57 ; 381 with value (4 23) 660 with value (4 41) 12 with value (4 63)
% 7.38/7.57 ; 252 with value (4 24) 98 with value (4 42) 144 with value (4 64)
% 7.38/7.57 ; 435 with value (4 25) 276 with value (4 43) 82 with value (4 66)
% 7.38/7.57 ; 312 with value (4 26) 48 with value (4 44) 40 with value (4 68)
% 7.38/7.57 ; 448 with value (4 27) 33 with value (4 45) 116 with value (4 72)
% 7.38/7.57 ; 390 with value (4 28) 150 with value (4 46) 8 with value (4 78)
% 7.38/7.57 ; 686 with value (4 29) 16 with value (4 47) 16 with value (4 88)
% 7.38/7.57 ; 271 with value (4 30) 11 with value (4 48) 12 with value (4 96)
% 7.38/7.57 ; 995 with value (4 31) 20 with value (4 49)
% 7.38/7.57 Evaluation took:
% 7.38/7.57 7.102 seconds of real time
% 7.38/7.57 6.5832 seconds of user run time
% 7.38/7.57 0.519306 seconds of system run time
% 7.38/7.57 [Run times include 1.153 seconds GC run time.]
% 7.38/7.57 0 calls to %EVAL
% 7.38/7.57 0 page faults and
% 7.38/7.57 533,044,600 bytes consed.
% 7.38/7.57 :PROOF-FOUND
% 7.38/7.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T17:14:09
% 7.38/7.57 :PROOF-FOUND
% 7.38/7.57 *
%------------------------------------------------------------------------------