%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO013-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 06:13:06 EDT 2022
% Result : Unsatisfiable 2.75s 2.93s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 13 unt; 2 nHn; 16 RR)
% Number of literals : 23 ( 4 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10_1,axiom,
( ~ colinear(X,Y,Z)
| colinear(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
cnf(t12_1,axiom,
( ~ colinear(X,Y,Z)
| ~ colinear(X,Y,U)
| colinear(X,Z,U)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_1) ).
cnf(c5_1,axiom,
( ~ colinear(X,Y,Z)
| ~ colinear(U,Y,Z)
| colinear(U,X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5_1) ).
cnf(a_not_b,hypothesis,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
cnf(and1_colinear,hypothesis,
colinear(a,b,d1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_colinear) ).
cnf(abd2_colinear,hypothesis,
colinear(a,b,d2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abd2_colinear) ).
cnf(abd3_colinear,hypothesis,
colinear(a,b,d3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abd3_colinear) ).
cnf(prove_d1d2d3_colinear,negated_conjecture,
~ colinear(d1,d2,d3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d1d2d3_colinear) ).
cnf(146,plain,
colinear(b,d2,a),
inference('HYPERRESOLVE',[status(thm)],[t10_1,abd2_colinear]) ).
cnf(148,plain,
colinear(b,d1,a),
inference('HYPERRESOLVE',[status(thm)],[t10_1,and1_colinear]) ).
cnf(151,plain,
~ colinear(d3,d2,d1),
inference('UR-RESOLVE',[status(thm)],[t10_1,prove_d1d2d3_colinear]) ).
cnf(297,plain,
colinear(a,d3,d1),
inference('UR-RESOLVE',[status(thm)],[t12_1,abd3_colinear,and1_colinear,a_not_b]) ).
cnf(298,plain,
colinear(a,d3,d2),
inference('UR-RESOLVE',[status(thm)],[t12_1,abd3_colinear,abd2_colinear,a_not_b]) ).
cnf(1396,plain,
colinear(d2,d1,a),
inference('UR-RESOLVE',[status(thm)],[c5_1,148,146,a_not_b]) ).
cnf(1399,plain,
d3 = a,
inference('UR-RESOLVE',[status(thm)],[t12_1,298,297,151]) ).
cnf(1400,plain,
$false,
inference('REWRITE',[status(thm)],[prove_d1d2d3_colinear,1396,1399,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO013-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 08:01:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T08:01:58
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T08:01:58
% 0.19/0.51
% 0.19/0.51 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.19/0.51 ; Recognized commutativity assertion (OR (NOT (|colinear| ?X ?Y ?Z)) (|colinear| ?Y ?X ?Z)).
% 2.75/2.93 ; Declaring colinear to be commutative.
% 2.75/2.93
% 2.75/2.93 #||
% 2.75/2.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.75/2.93 % SZS output start Refutation
% See solution above
% 2.75/2.93 ||#
% 2.75/2.93
% 2.75/2.93 ; Summary of computation:
% 2.75/2.93 ; 13174 formulas have been input or derived (from 127 formulas).
% 2.75/2.93 ; 1400 (11%) were retained. Of these,
% 2.75/2.93 ; 368 (26%) were simplified or subsumed later,
% 2.75/2.93 ; 1032 (74%) are still being kept.
% 2.75/2.93 ;
% 2.75/2.93 ; Run time in seconds excluding printing time:
% 2.75/2.93 ; 0.024 1% Read assertion file (1 call)
% 2.75/2.93 ; 0.004 0% Assert (110 calls)
% 2.75/2.93 ; 0.109 4% Process new row (9,047 calls)
% 2.75/2.93 ; 2.106 86% Resolution (252 calls)
% 2.75/2.93 ; 0.001 0% Paramodulation (126 calls)
% 2.75/2.93 ; 0.000 0% Factoring (1 call)
% 2.75/2.93 ; 0.003 0% Condensing (224 calls)
% 2.75/2.93 ; 0.007 0% Forward subsumption (224 calls)
% 2.75/2.93 ; 0.015 1% Backward subsumption (191 calls)
% 2.75/2.93 ; 0.012 0% Clause clause subsumption (1,482 calls)
% 2.75/2.93 ; 0.087 4% Forward simplification (9,047 calls)
% 2.75/2.93 ; 0.022 1% Backward simplification (1,394 calls)
% 2.75/2.93 ; 0.000 0% Ordering (339 calls)
% 2.75/2.93 ; 0.001 0% Sortal reasoning (32 calls)
% 2.75/2.93 ; 0.000 0% Purity testing (1 call)
% 2.75/2.93 ; 0.064 3% Other
% 2.75/2.93 ; 2.455 Total
% 2.75/2.93 ; 2.458 Real time
% 2.75/2.93 ;
% 2.75/2.93 ; Term-hash-array has 2,438 terms in all.
% 2.75/2.93 ; Feature-vector-row-index has 184 entries (188 at peak, 191 added, 7 deleted).
% 2.75/2.93 ; Feature-vector-row-index has 396 nodes (406 at peak, 409 added, 13 deleted).
% 2.75/2.93 ; Retrieved 1,372 possibly forward subsuming rows in 224 calls.
% 2.75/2.93 ; Retrieved 270 possibly backward subsumed rows in 191 calls.
% 2.75/2.93 ; Path-index has 1,852 entries (2,338 at peak, 2,466 added, 614 deleted).
% 2.75/2.93 ; Path-index has 2,937 nodes (3,239 at peak, 3,368 added, 431 deleted).
% 2.75/2.93 ; Trie-index has 1,852 entries (2,338 at peak, 2,466 added, 614 deleted).
% 2.75/2.93 ; Trie-index has 10,212 nodes (12,748 at peak, 13,214 added, 3,002 deleted).
% 2.75/2.93 ; Retrieved 47,243 generalization terms in 17,671 calls.
% 2.75/2.93 ; Retrieved 1,641 instance terms in 1,202 calls.
% 2.75/2.93 ; Retrieved 6,025,148 unifiable terms in 67,988 calls.
% 2.75/2.93 ;
% 2.75/2.93 ; The agenda of backward simplifiable rows to process has 296 entries:
% 2.75/2.93 ; 296 with value 0
% 2.75/2.93 ; The agenda of rows to process has 68 entries:
% 2.75/2.93 ; 18 with value 7 48 with value 11 2 with value 17
% 2.75/2.93 ; The agenda of rows to give has 921 entries:
% 2.75/2.93 ; 6 with value (4 6) 17 with value (4 28) 1 with value (4 52)
% 2.75/2.93 ; 20 with value (4 7) 13 with value (4 29) 5 with value (4 53)
% 2.75/2.93 ; 8 with value (4 8) 30 with value (4 30) 3 with value (4 55)
% 2.75/2.93 ; 19 with value (4 9) 4 with value (4 31) 1 with value (4 56)
% 2.75/2.93 ; 40 with value (4 10) 16 with value (4 32) 8 with value (4 57)
% 2.75/2.93 ; 49 with value (4 11) 5 with value (4 33) 4 with value (4 59)
% 2.75/2.93 ; 106 with value (4 12) 21 with value (4 34) 3 with value (4 61)
% 2.75/2.93 ; 11 with value (4 13) 11 with value (4 35) 2 with value (4 63)
% 2.75/2.93 ; 20 with value (4 14) 4 with value (4 36) 3 with value (4 65)
% 2.75/2.93 ; 55 with value (4 15) 12 with value (4 38) 1 with value (4 67)
% 2.75/2.93 ; 36 with value (4 16) 2 with value (4 39) 2 with value (4 69)
% 2.75/2.93 ; 99 with value (4 17) 2 with value (4 40) 1 with value (4 71)
% 2.75/2.93 ; 21 with value (4 18) 4 with value (4 41) 1 with value (4 73)
% 2.75/2.93 ; 46 with value (4 19) 3 with value (4 42) 2 with value (4 75)
% 2.75/2.93 ; 10 with value (4 20) 2 with value (4 43) 3 with value (4 77)
% 2.75/2.93 ; 54 with value (4 21) 3 with value (4 44) 1 with value (4 81)
% 2.75/2.93 ; 10 with value (4 22) 4 with value (4 45) 2 with value (4 85)
% 2.75/2.93 ; 26 with value (4 23) 2 with value (4 46) 1 with value (4 87)
% 2.75/2.93 ; 17 with value (4 24) 6 with value (4 47) 1 with value (4 91)
% 2.75/2.93 ; 27 with value (4 25) 2 with value (4 48) 1 with value (4 95)
% 2.75/2.93 ; 15 with value (4 26) 2 with value (4 49) 1 with value (4 111)
% 2.75/2.93 ; 7 with value (4 27) 7 with value (4 51)
% 2.75/2.93 Evaluation took:
% 2.75/2.93 2.458 seconds of real time
% 2.75/2.93 2.390844 seconds of user run time
% 2.75/2.93 0.06701 seconds of system run time
% 2.75/2.93 [Run times include 0.068 seconds GC run time.]
% 2.75/2.93 0 calls to %EVAL
% 2.75/2.93 0 page faults and
% 2.75/2.93 128,758,952 bytes consed.
% 2.75/2.93 :PROOF-FOUND
% 2.75/2.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T08:02:00
% 2.75/2.93 :PROOF-FOUND
% 2.75/2.93 *
%------------------------------------------------------------------------------