%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : TIM035_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n031.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 07:17:47 PM UTC 2026
% Result : Theorem 0.14s 0.36s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 8 ~; 3 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 18 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(overlapped_by_type,type,
overlapped_by: ( interval * interval ) > $o ).
tff(a_type,type,
a: interval ).
tff(b_type,type,
b: interval ).
tff(overlaps_type,type,
overlaps: ( interval * interval ) > $o ).
tff(1,plain,
( ~ overlapped_by(b,a)
<=> ~ overlapped_by(b,a) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ overlapped_by(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(3,plain,
~ overlapped_by(b,a),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( overlaps(a,b)
<=> overlaps(a,b) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
overlaps(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
tff(6,plain,
overlaps(a,b),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( ~ ( overlaps(a,b)
<=> overlapped_by(b,a) )
| ~ overlaps(a,b)
| overlapped_by(b,a) ),
inference(tautology,[status(thm)],[]) ).
tff(8,plain,
~ ( overlaps(a,b)
<=> overlapped_by(b,a) ),
inference(unit_resolution,[status(thm)],[7,6,3]) ).
tff(9,plain,
^ [I: interval,J: interval] :
refl(( ( overlaps(I,J)
<=> overlapped_by(J,I) )
<=> ( overlaps(I,J)
<=> overlapped_by(J,I) ) )),
inference(bind,[status(th)],[]) ).
tff(10,plain,
( ! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) )
<=> ! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) ) ),
inference(quant_intro,[status(thm)],[9]) ).
tff(11,plain,
( ! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) )
<=> ! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) ),
file('/export/starexec/sandbox/benchmark/Axioms/TIM002_0.ax',overlaps_inverse) ).
tff(13,plain,
! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) ),
inference(skolemize,[status(sab)],[13]) ).
tff(15,plain,
! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) ),
inference(modus_ponens,[status(thm)],[14,10]) ).
tff(16,plain,
( ~ ! [I: interval,J: interval] :
( overlaps(I,J)
<=> overlapped_by(J,I) )
| ( overlaps(a,b)
<=> overlapped_by(b,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(17,plain,
$false,
inference(unit_resolution,[status(thm)],[16,15,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TIM035_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.14/0.32 % Computer : n031.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 18:35:25 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.36 % SZS status Theorem
% 0.14/0.36 % SZS output start Proof
% See solution above
% 0.14/0.36 % E exiting
%------------------------------------------------------------------------------