TSTP Solution File: GEO084-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO084-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 06:13:45 EDT 2022
% Result : Unsatisfiable 1.10s 1.32s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 12 unt; 2 nHn; 16 RR)
% Number of literals : 25 ( 3 equ; 11 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 : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(part_of_defn_1,axiom,
( ~ part_of(X,Y)
| ~ incident_c(Z,X)
| incident_c(Z,Y) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
cnf(c8_44,axiom,
( ~ meet(X,Y,Z)
| ax0_sk12(Z,Y) = sum(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c8_44) ).
cnf(corollary_2_6_2_67,negated_conjecture,
part_of(sk14,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2_67) ).
cnf(corollary_2_6_2_68,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2_68) ).
cnf(corollary_2_6_2_69,negated_conjecture,
meet(sk17,sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2_69) ).
cnf(corollary_2_6_2_70,negated_conjecture,
~ part_of(sum(sk14,sk15),sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2_70) ).
cnf(54,plain,
incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,sk15)),
inference('HYPERRESOLVE',[status(thm)],[corollary_2_6_2_70,part_of_defn_2]) ).
cnf(55,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk16),
inference('UR-RESOLVE',[status(thm)],[part_of_defn_3,corollary_2_6_2_70]) ).
cnf(61,plain,
ax0_sk12(sk15,sk14) = sum(sk14,sk15),
inference('HYPERRESOLVE',[status(thm)],[c8_44,corollary_2_6_2_69]) ).
cnf(63,plain,
incident_c(ax0_sk1(ax0_sk12(sk15,sk14),sk16),ax0_sk12(sk15,sk14)),
inference('REWRITE',[status(thm)],[54,61,theory(equality)]) ).
cnf(64,plain,
~ incident_c(ax0_sk1(ax0_sk12(sk15,sk14),sk16),sk16),
inference('REWRITE',[status(thm)],[55,61,theory(equality)]) ).
cnf(1180,plain,
~ incident_c(ax0_sk1(ax0_sk12(sk15,sk14),sk16),sk14),
inference('UR-RESOLVE',[status(thm)],[part_of_defn_1,64,corollary_2_6_2_67]) ).
cnf(1181,plain,
~ incident_c(ax0_sk1(ax0_sk12(sk15,sk14),sk16),sk15),
inference('UR-RESOLVE',[status(thm)],[part_of_defn_1,64,corollary_2_6_2_68]) ).
cnf(2479,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[sum_defn_4,1181,1180,theory(equality)]),63,61,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO084-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 22:32:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T22:32:18
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-17T22:32:18
% 1.10/1.32
% 1.10/1.32
% 1.10/1.32 #||
% 1.10/1.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.10/1.32 % SZS output start Refutation
% See solution above
% 1.10/1.32 ||#
% 1.10/1.32
% 1.10/1.32 ; Summary of computation:
% 1.10/1.32 ; 7260 formulas have been input or derived (from 212 formulas).
% 1.10/1.32 ; 2479 (34%) were retained. Of these,
% 1.10/1.32 ; 161 ( 6%) were simplified or subsumed later,
% 1.10/1.32 ; 2318 (94%) are still being kept.
% 1.10/1.32 ;
% 1.10/1.32 ; Run time in seconds excluding printing time:
% 1.10/1.32 ; 0.012 1% Read assertion file (1 call)
% 1.10/1.32 ; 0.002 0% Assert (52 calls)
% 1.10/1.32 ; 0.167 20% Process new row (5,332 calls)
% 1.10/1.32 ; 0.321 38% Resolution (422 calls)
% 1.10/1.32 ; 0.002 0% Paramodulation (211 calls)
% 1.10/1.32 ; 0.000 0% Factoring (7 calls)
% 1.10/1.32 ; 0.028 3% Condensing (1,637 calls)
% 1.10/1.32 ; 0.083 10% Forward subsumption (1,637 calls)
% 1.10/1.32 ; 0.076 9% Backward subsumption (1,119 calls)
% 1.10/1.32 ; 0.013 2% Clause clause subsumption (4,331 calls)
% 1.10/1.32 ; 0.073 9% Forward simplification (5,332 calls)
% 1.10/1.32 ; 0.024 3% Backward simplification (2,479 calls)
% 1.10/1.32 ; 0.008 1% Ordering (3,385 calls)
% 1.10/1.32 ; 0.000 0% Sortal reasoning (32 calls)
% 1.10/1.32 ; 0.000 0% Purity testing (1 call)
% 1.10/1.32 ; 0.042 5% Other
% 1.10/1.32 ; 0.851 Total
% 1.10/1.32 ; 0.854 Real time
% 1.10/1.32 ;
% 1.10/1.32 ; Term-hash-array has 3,995 terms in all.
% 1.10/1.32 ; Feature-vector-row-index has 965 entries (965 at peak, 1,119 added, 154 deleted).
% 1.10/1.32 ; Feature-vector-row-index has 3,628 nodes (3,628 at peak, 4,303 added, 675 deleted).
% 1.10/1.32 ; Retrieved 3,927 possibly forward subsuming rows in 1,637 calls.
% 1.10/1.32 ; Retrieved 1,189 possibly backward subsumed rows in 1,119 calls.
% 1.10/1.32 ; Path-index has 3,870 entries (3,870 at peak, 4,106 added, 236 deleted).
% 1.10/1.32 ; Path-index has 3,471 nodes (3,471 at peak, 3,545 added, 74 deleted).
% 1.10/1.32 ; Trie-index has 3,870 entries (3,870 at peak, 4,106 added, 236 deleted).
% 1.10/1.32 ; Trie-index has 14,210 nodes (14,210 at peak, 14,729 added, 519 deleted).
% 1.10/1.32 ; Retrieved 12,438 generalization terms in 13,742 calls.
% 1.10/1.32 ; Retrieved 2,509 instance terms in 1,359 calls.
% 1.10/1.32 ; Retrieved 427,275 unifiable terms in 36,542 calls.
% 1.10/1.32 ;
% 1.10/1.32 ; The agenda of rows to process has 10 entries:
% 1.10/1.32 ; 2 with value 15 2 with value 16 6 with value 19
% 1.10/1.32 ; The agenda of rows to give has 2107 entries:
% 1.10/1.32 ; 36 with value (4 12) 124 with value (4 25) 2 with value (4 38)
% 1.10/1.32 ; 128 with value (4 13) 27 with value (4 26) 5 with value (4 39)
% 1.10/1.32 ; 143 with value (4 14) 40 with value (4 27) 7 with value (4 40)
% 1.10/1.32 ; 103 with value (4 15) 62 with value (4 28) 4 with value (4 41)
% 1.10/1.32 ; 144 with value (4 16) 140 with value (4 29) 6 with value (4 43)
% 1.10/1.32 ; 93 with value (4 17) 24 with value (4 30) 6 with value (4 45)
% 1.10/1.32 ; 55 with value (4 18) 124 with value (4 31) 16 with value (4 46)
% 1.10/1.32 ; 84 with value (4 19) 14 with value (4 32) 4 with value (4 47)
% 1.10/1.32 ; 67 with value (4 20) 8 with value (4 33) 2 with value (4 53)
% 1.10/1.32 ; 22 with value (4 21) 22 with value (4 34) 5 with value (4 54)
% 1.10/1.32 ; 148 with value (4 22) 50 with value (4 35) 3 with value (4 55)
% 1.10/1.32 ; 156 with value (4 23) 59 with value (4 36) 8 with value (4 56)
% 1.10/1.32 ; 160 with value (4 24) 6 with value (4 37)
% 1.10/1.32 Evaluation took:
% 1.10/1.32 0.854 seconds of real time
% 1.10/1.32 0.804044 seconds of user run time
% 1.10/1.32 0.050097 seconds of system run time
% 1.10/1.32 [Run times include 0.065 seconds GC run time.]
% 1.10/1.32 0 calls to %EVAL
% 1.10/1.32 0 page faults and
% 1.10/1.32 65,898,344 bytes consed.
% 1.10/1.32 :PROOF-FOUND
% 1.10/1.32 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T22:32:18
% 1.10/1.32 :PROOF-FOUND
% 1.10/1.32 *
%------------------------------------------------------------------------------