%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : TIM034_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:52:18 AM UTC 2026
% Result : Theorem 3.95s 7.49s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 150 ( 4 ~; 0 |; 8 &; 118 @)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(interval_type,type,
interval: $tType ).
thf(before_decl,type,
before: interval > interval > $o ).
thf(after_decl,type,
after: interval > interval > $o ).
thf(meets_decl,type,
meets: interval > interval > $o ).
thf(met_by_decl,type,
met_by: interval > interval > $o ).
thf(overlaps_decl,type,
overlaps: interval > interval > $o ).
thf(overlapped_by_decl,type,
overlapped_by: interval > interval > $o ).
thf(starts_decl,type,
starts: interval > interval > $o ).
thf(started_by_decl,type,
started_by: interval > interval > $o ).
thf(during_decl,type,
during: interval > interval > $o ).
thf(contains_decl,type,
contains: interval > interval > $o ).
thf(finishes_decl,type,
finishes: interval > interval > $o ).
thf(finished_by_decl,type,
finished_by: interval > interval > $o ).
thf(a_decl,type,
a: interval ).
thf(b_decl,type,
b: interval ).
thf(c_decl,type,
c: interval ).
thf(d_decl,type,
d: interval ).
thf(e_decl,type,
e: interval ).
thf(f_decl,type,
f: interval ).
thf(g_decl,type,
g: interval ).
thf(10,axiom,
! [A: interval,B: interval,C: interval] :
( ( ( C @ ( B @ before ) )
& ( B @ ( A @ before ) ) )
=> ( C @ ( A @ before ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',before_transitive) ).
thf(57,plain,
! [A: interval,B: interval,C: interval] :
( ( ( C @ ( B @ before ) )
& ( B @ ( A @ before ) ) )
=> ( C @ ( A @ before ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
d @ ( c @ during ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
thf(61,plain,
d @ ( c @ during ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(12,axiom,
b @ ( c @ started_by ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
thf(60,plain,
b @ ( c @ started_by ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(11,axiom,
b @ ( a @ starts ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
thf(59,plain,
b @ ( a @ starts ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
! [A: interval] :
~ ( A @ ( A @ before ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',before_irreflexive) ).
thf(54,plain,
! [A: interval] :
~ ( A @ ( A @ before ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
d @ ( e @ contains ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
thf(62,plain,
d @ ( e @ contains ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(7,axiom,
! [A: interval,B: interval] :
( ( B @ ( A @ during ) )
<=> ( A @ ( B @ contains ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',during_inverse) ).
thf(42,plain,
! [A: interval,B: interval] :
( ( ( A @ ( B @ contains ) )
=> ( B @ ( A @ during ) ) )
& ( ( B @ ( A @ during ) )
=> ( A @ ( B @ contains ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: interval,B: interval] :
( ( B @ ( A @ meets ) )
<=> ( A @ ( B @ met_by ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meets_metby) ).
thf(24,plain,
! [A: interval,B: interval] :
( ( ( A @ ( B @ met_by ) )
=> ( B @ ( A @ meets ) ) )
& ( ( B @ ( A @ meets ) )
=> ( A @ ( B @ met_by ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,axiom,
f @ ( g @ finished_by ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
thf(64,plain,
f @ ( g @ finished_by ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(1,conjecture,
e @ ( f @ finishes ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(2,negated_conjecture,
~ ( e @ ( f @ finishes ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(17,plain,
~ ( e @ ( f @ finishes ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
! [A: interval,B: interval] :
( ( B @ ( A @ finishes ) )
<=> ( A @ ( B @ finished_by ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finishes_inverse) ).
thf(48,plain,
! [A: interval,B: interval] :
( ( ( A @ ( B @ finished_by ) )
=> ( B @ ( A @ finishes ) ) )
& ( ( B @ ( A @ finishes ) )
=> ( A @ ( B @ finished_by ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,axiom,
e @ ( f @ finishes ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
thf(63,plain,
e @ ( f @ finishes ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,axiom,
! [A: interval,B: interval] :
( ( B @ ( A @ before ) )
<=> ( A @ ( B @ after ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',before_after) ).
thf(18,plain,
! [A: interval,B: interval] :
( ( ( A @ ( B @ after ) )
=> ( B @ ( A @ before ) ) )
& ( ( B @ ( A @ before ) )
=> ( A @ ( B @ after ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: interval,B: interval] :
( ( B @ ( A @ starts ) )
<=> ( A @ ( B @ started_by ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',starts_inverse) ).
thf(36,plain,
! [A: interval,B: interval] :
( ( ( A @ ( B @ started_by ) )
=> ( B @ ( A @ starts ) ) )
& ( ( B @ ( A @ starts ) )
=> ( A @ ( B @ started_by ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: interval,B: interval] :
( ( B @ ( A @ overlaps ) )
<=> ( A @ ( B @ overlapped_by ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',overlaps_inverse) ).
thf(30,plain,
! [A: interval,B: interval] :
( ( ( A @ ( B @ overlapped_by ) )
=> ( B @ ( A @ overlaps ) ) )
& ( ( B @ ( A @ overlaps ) )
=> ( A @ ( B @ overlapped_by ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(65,plain,
$false,
inference(e,[status(thm)],[57,61,60,59,54,62,42,24,64,17,48,63,18,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM034_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/5.42 % Computer : n017.cluster.edu
% 0.14/5.42 % Model : x86_64 x86_64
% 0.14/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.42 % Memory : 8046.5625MB
% 0.14/5.42 % OS : Linux 6.8.0-71-generic
% 0.14/5.42 % CPULimit : 300
% 0.14/5.42 % WCLimit : 300
% 0.14/5.42 % DateTime : Sat Sep 26 20:25:10 UTC 2026
% 0.14/5.42 % CPUTime :
% 0.14/5.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.19/6.01 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.40/6.21 % [INFO] Parsing done (206ms).
% 1.40/6.23 % [INFO] Running in sequential loop mode.
% 2.09/6.64 % [INFO] eprover registered as external prover.
% 2.09/6.65 % [INFO] Scanning for conjecture ...
% 2.32/6.74 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 2.32/6.78 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 2.49/6.81 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.49/6.82 % [INFO] Type checking passed.
% 2.49/6.82 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.95/7.49 % External prover 'e' found a proof!
% 3.95/7.49 % [INFO] Killing All external provers ...
% 3.95/7.49 % Time passed: 1924ms (effective reasoning time: 1253ms)
% 3.95/7.49 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.95/7.49 % Axioms used in derivation (14): meets_metby, during_inverse, p3, overlaps_inverse, p2, finishes_inverse, before_irreflexive, p6, starts_inverse, before_after, p4, p5, before_transitive, p1
% 3.95/7.49 % No. of inferences in proof: 32
% 3.95/7.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1924 ms resp. 1253 ms w/o parsing
% 4.20/7.55 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.20/7.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------