TSTP Solution File: GEO277+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO277+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 06:15:38 EDT 2022

% Result   : Theorem 138.51s 138.77s
% Output   : Refutation 138.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   25 (  22 unt;   1 nHn;  25 RR)
%            Number of literals    :   48 (  24 equ;  25 neg)
%            Maximal clause size   :   14 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ron(vd1085,'SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(230), 1), imp(the(230)))') ).

cnf(2,negated_conjecture,
    ron(vd1089,'SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(230), 1), imp(the(230)))') ).

cnf(3,negated_conjecture,
    rline('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(230), 1), imp(the(230)))') ).

cnf(4,negated_conjecture,
    'SKOLEMAAAV1' != vd1099,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(230), 1), imp(the(230)))') ).

cnf(5,axiom,
    ron(vd1085,vd1099),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))') ).

cnf(6,axiom,
    ron(vd1089,vd1099),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))') ).

cnf(7,axiom,
    rline(vd1099),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))') ).

cnf(15,axiom,
    rpoint(vd1089),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(226, 0)') ).

cnf(16,axiom,
    vd1085 = vd1086,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 4)') ).

cnf(17,axiom,
    rpoint(vd1086),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 1)') ).

cnf(18,plain,
    rpoint(vd1085),
    inference('REWRITE',[status(thm)],[17,16,theory(equality)]) ).

cnf(22,axiom,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(226, 1090, 1)') ).

cnf(23,axiom,
    vf(vd1089,vd1085) = vf(vd1089,vd1080),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(226, 1090, 0)') ).

cnf(24,plain,
    vf(vd1089,vd1085) = vf(vd1085,vd1080),
    inference('REWRITE',[status(thm)],[23,22,theory(equality)]) ).

cnf(26,axiom,
    vd1085 != vd1080,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).

cnf(43,axiom,
    vd1080 = 'SKOLEMAAAV4',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).

cnf(44,axiom,
    rpoint('SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).

cnf(45,plain,
    rpoint(vd1080),
    inference('REWRITE',[status(thm)],[44,43,theory(equality)]) ).

cnf(93,axiom,
    ( X != Y
    | ~ rpoint(Y)
    | Z != U
    | ~ rpoint(U)
    | vf(Z,X) != v0
    | Z = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

cnf(94,axiom,
    ( X != Y
    | ~ rpoint(Y)
    | Z != U
    | ~ rpoint(U)
    | vf(Z,X) = v0
    | Z != X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

cnf(96,axiom,
    ( ~ ron(X,Y)
    | ~ ron(X,Z)
    | ~ ron(U,Y)
    | ~ ron(U,Z)
    | Y != V
    | ~ rline(V)
    | Z != W
    | ~ rline(W)
    | X = U
    | X != X1
    | ~ rpoint(X1)
    | Y1 != U
    | ~ rpoint(Y1)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).

cnf(750,plain,
    vf(vd1085,vd1080) != v0,
    inference('UR-RESOLVE',[status(thm)],[93,45,18,26,theory(equality),theory(equality)]) ).

cnf(763,plain,
    vf(vd1085,vd1085) = v0,
    inference('HYPERRESOLVE',[status(thm)],[94,18,18,theory(equality),theory(equality),theory(equality)]) ).

cnf(8414,plain,
    vd1085 = vd1089,
    inference('UR-RESOLVE',[status(thm)],[96,5,1,6,2,7,3,18,15,4,theory(equality),theory(equality),theory(equality),theory(equality)]) ).

cnf(8416,plain,
    $false,
    inference('REWRITE',[status(thm)],[24,750,763,8414,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO277+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 16:47:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (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/sandbox2/benchmark/theBenchmark.p 2022-06-18T16:47:18
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T16:47:18
% 0.37/0.60  WARNING:
% 0.37/0.60     |rtriangle| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.60  WARNING:
% 0.37/0.60     |rleq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.60  WARNING:
% 0.37/0.60     |rgeq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 138.51/138.77  
% 138.51/138.77  
% 138.51/138.77  #||
% 138.51/138.77  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 138.51/138.77  % SZS output start Refutation
% See solution above
% 138.51/138.77  ||#
% 138.51/138.77  
% 138.51/138.77  ; Summary of computation:
% 138.51/138.77  ;    115103 formulas have been input or derived (from 194 formulas).
% 138.51/138.77  ;      8416 ( 7%) were retained.  Of these,
% 138.51/138.77  ;         4297 (51%) were simplified or subsumed later,
% 138.51/138.77  ;         4119 (49%) are still being kept.
% 138.51/138.77  ; 
% 138.51/138.77  ; Run time in seconds excluding printing time:
% 138.51/138.77  ;     0.071   0%   Read assertion file          (1 call)
% 138.51/138.77  ;     0.042   0%   Assert                       (127 calls)
% 138.51/138.77  ;     0.680   0%   Process new row              (111,186 calls)
% 138.51/138.77  ;   135.618  98%   Resolution                   (386 calls)
% 138.51/138.77  ;     0.002   0%   Paramodulation               (193 calls)
% 138.51/138.77  ;     0.069   0%   Condensing                   (1,283 calls)
% 138.51/138.77  ;     0.036   0%   Forward subsumption          (1,283 calls)
% 138.51/138.77  ;     0.018   0%   Backward subsumption         (628 calls)
% 138.51/138.77  ;     0.031   0%   Clause clause subsumption    (1,429 calls)
% 138.51/138.77  ;     1.028   1%   Forward simplification       (111,173 calls)
% 138.51/138.77  ;     0.279   0%   Backward simplification      (8,397 calls)
% 138.51/138.77  ;     0.002   0%   Ordering                     (1,563 calls)
% 138.51/138.77  ;     0.000   0%   Sortal reasoning             (32 calls)
% 138.51/138.77  ;     0.002   0%   Purity testing               (1 call)
% 138.51/138.77  ;     0.366   0%   Other
% 138.51/138.77  ;   138.244        Total
% 138.51/138.77  ;   138.299        Real time
% 138.51/138.78  ; 
% 138.51/138.78  ; Term-hash-array has 11,186 terms in all.
% 138.51/138.78  ; Feature-vector-row-index has 472 entries (586 at peak, 628 added, 156 deleted).
% 138.51/138.78  ; Feature-vector-row-index has 1,522 nodes (1,977 at peak, 2,079 added, 557 deleted).
% 138.51/138.78  ;  Retrieved 2,125 possibly forward subsuming rows in 1,283 calls.
% 138.51/138.78  ;  Retrieved 432 possibly backward subsumed rows in 628 calls.
% 138.51/138.78  ; Path-index has 5,811 entries (10,806 at peak, 11,329 added, 5,518 deleted).
% 138.51/138.78  ; Path-index has 3,206 nodes (3,396 at peak, 3,435 added, 229 deleted).
% 138.51/138.78  ; Trie-index has 5,811 entries (10,806 at peak, 11,329 added, 5,518 deleted).
% 138.51/138.78  ; Trie-index has 9,981 nodes (17,334 at peak, 18,191 added, 8,210 deleted).
% 138.51/138.78  ; Retrieved 104,803 generalization terms in 164,011 calls.
% 138.51/138.78  ; Retrieved 7,768 instance terms in 7,768 calls.
% 138.51/138.78  ; Retrieved 343,609,060 unifiable terms in 4,235,523 calls.
% 138.51/138.78  ; 
% 138.51/138.78  ; The agenda of backward simplifiable rows to process has 3284 entries:
% 138.51/138.78  ;  3284 with value 0
% 138.51/138.78  ; The agenda of rows to process has 33 entries:
% 138.51/138.78  ;     4 with value 5              29 with value 9
% 138.51/138.78  ; The agenda of input rows to give has 75 entries:
% 138.51/138.78  ;     1 with value 5               2 with value 67               1 with value 113
% 138.51/138.78  ;     7 with value 52              1 with value 68               1 with value 118
% 138.51/138.78  ;     4 with value 53              1 with value 77               3 with value 173
% 138.51/138.78  ;     5 with value 54              1 with value 84               2 with value 174
% 138.51/138.78  ;     3 with value 55              2 with value 85               5 with value 175
% 138.51/138.78  ;     2 with value 56              1 with value 88               2 with value 176
% 138.51/138.78  ;     3 with value 57              1 with value 96               2 with value 177
% 138.51/138.78  ;     1 with value 58              1 with value 98               3 with value 196
% 138.51/138.78  ;     1 with value 61              2 with value 100              3 with value 198
% 138.51/138.78  ;     2 with value 63              1 with value 102              3 with value 215
% 138.51/138.78  ;     1 with value 65              1 with value 105              3 with value 217
% 138.51/138.78  ;     2 with value 66              1 with value 106
% 138.51/138.78  ; The agenda of rows to give has 3858 entries:
% 138.51/138.78  ;    16 with value (4 5)        1889 with value (4 10)          38 with value (4 16)
% 138.51/138.78  ;    76 with value (4 6)          54 with value (4 11)          14 with value (4 19)
% 138.51/138.78  ;    73 with value (4 7)         215 with value (4 12)          18 with value (4 20)
% 138.51/138.78  ;   302 with value (4 8)          29 with value (4 13)          14 with value (4 23)
% 138.51/138.78  ;  1104 with value (4 9)          16 with value (4 15)
% 138.51/138.78  Evaluation took:
% 138.51/138.78    138.3 seconds of real time
% 138.51/138.78    137.5525 seconds of user run time
% 138.51/138.78    0.693835 seconds of system run time
% 138.51/138.78    [Run times include 2.151 seconds GC run time.]
% 138.51/138.78    0 calls to %EVAL
% 138.51/138.78    0 page faults and
% 138.51/138.78    4,832,380,600 bytes consed.
% 138.51/138.78  :PROOF-FOUND
% 138.51/138.78  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T16:49:37
% 138.51/138.78  :PROOF-FOUND
% 138.51/138.78  * 
%------------------------------------------------------------------------------