%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : TIM031_1 : TPTP v9.3.0. Released v9.3.0.
% 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 : 300s
% DateTime : Tue May 5 07:17:36 PM UTC 2026
% Result : Theorem 0.30s 0.50s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 15 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 26 ( 26 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(14,axiom,
! [X: interval,Y: interval,Z: interval] :
( ~ before(X,Y)
| ~ before(Y,Z)
| before(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/TIM002_0.ax',before_transitive) ).
tff(15,axiom,
before(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
tff(16,axiom,
before(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
tff(17,axiom,
before(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
tff(18,axiom,
before(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
tff(19,axiom,
before(e,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
tff(20,axiom,
before(f,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
tff(21,axiom,
before(g,h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
tff(22,negated_conjecture,
~ before(a,h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(33,plain,
before(e,g),
inference('HYPERRESOLVE',[status(thm)],[14,19,20]) ).
tff(35,plain,
before(c,e),
inference('HYPERRESOLVE',[status(thm)],[14,17,18]) ).
tff(37,plain,
before(a,c),
inference('HYPERRESOLVE',[status(thm)],[14,15,16]) ).
tff(38,plain,
~ before(a,g),
inference('UR-RESOLVE',[status(thm)],[14,21,22]) ).
tff(66,plain,
before(a,e),
inference('HYPERRESOLVE',[status(thm)],[14,37,35]) ).
cnf(71,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[14,38,33]),66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TIM031_1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.17/0.34 % Computer : n021.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 18:30:10 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.47 *
% 0.30/0.47 *
% 0.30/0.47 #<PACKAGE "SNARK-USER">
% 0.30/0.47 *
% 0.30/0.47 SNARK-TPTP-OPTIONS
% 0.30/0.47 *
% 0.30/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.30/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.30/0.47 (USE-FACTORING :POS)
% 0.30/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.30/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.30/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.30/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.30/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.30/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.30/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.30/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.30/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.30/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.30/0.47 *
% 0.30/0.47 "."
% 0.30/0.47 *
% 0.30/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-04T18:30:10
% 0.30/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2026-05-04T18:30:10
% 0.30/0.50
% 0.30/0.50
% 0.30/0.50 #||
% 0.30/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.50 % SZS output start Refutation
% See solution above
% 0.30/0.50 ||#
% 0.30/0.50
% 0.30/0.50 ; Summary of computation:
% 0.30/0.50 ; 142 formulas have been input or derived (from 39 formulas).
% 0.30/0.50 ; 71 (50%) were retained. Of these,
% 0.30/0.50 ; 71 (100%) are still being kept.
% 0.30/0.50 ;
% 0.30/0.50 ; Run time in seconds excluding printing time:
% 0.30/0.50 ; 0.003 14% Read assertion file (1 call)
% 0.30/0.50 ; 0.000 0% Assert (16 calls)
% 0.30/0.50 ; 0.002 9% Process new row (133 calls)
% 0.30/0.50 ; 0.001 5% Resolution (76 calls)
% 0.30/0.50 ; 0.000 0% Paramodulation (38 calls)
% 0.30/0.50 ; 0.000 0% Condensing (13 calls)
% 0.30/0.50 ; 0.000 0% Forward subsumption (13 calls)
% 0.30/0.50 ; 0.000 0% Backward subsumption (13 calls)
% 0.30/0.50 ; 0.000 0% Forward simplification (133 calls)
% 0.30/0.50 ; 0.001 5% Backward simplification (71 calls)
% 0.30/0.50 ; 0.000 0% Sortal reasoning (33 calls)
% 0.30/0.50 ; 0.000 0% Purity testing (1 call)
% 0.30/0.50 ; 0.015 68% Other
% 0.30/0.50 ; 0.022 Total
% 0.30/0.50 ; 0.023 Real time
% 0.30/0.50 ;
% 0.30/0.50 ; Term-hash-array has 71 terms in all.
% 0.30/0.50 ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.30/0.50 ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.30/0.50 ; Retrieved 2 possibly forward subsuming rows in 13 calls.
% 0.30/0.50 ; Retrieved 2 possibly backward subsumed rows in 13 calls.
% 0.30/0.50 ; Path-index has 79 entries (79 at peak, 79 added, 0 deleted).
% 0.30/0.50 ; Path-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.30/0.50 ; Trie-index has 79 entries (79 at peak, 79 added, 0 deleted).
% 0.30/0.50 ; Trie-index has 115 nodes (115 at peak, 115 added, 0 deleted).
% 0.30/0.50 ; Retrieved 113 generalization terms in 121 calls.
% 0.30/0.50 ; Retrieved 67 instance terms in 57 calls.
% 0.30/0.50 ; Retrieved 705 unifiable terms in 274 calls.
% 0.30/0.50 ;
% 0.30/0.50 ; The agenda of rows to process has 2 entries:
% 0.30/0.50 ; 2 with value 6
% 0.30/0.50 ; The agenda of rows to give has 32 entries:
% 0.30/0.50 ; 8 with value (4 5) 24 with value (4 6)
% 0.30/0.50 Evaluation took:
% 0.30/0.50 0.023 seconds of real time
% 0.30/0.50 0.018073 seconds of user run time
% 0.30/0.50 0.005034 seconds of system run time
% 0.30/0.50 0 calls to %EVAL
% 0.30/0.50 0 page faults and
% 0.30/0.50 2,337,096 bytes consed.
% 0.30/0.50 :PROOF-FOUND
% 0.30/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-04T18:30:10
% 0.30/0.50 :PROOF-FOUND
% 0.30/0.50 *
%------------------------------------------------------------------------------