%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : RNG101+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 : Sat Jun 21 05:24:12 AM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 12 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 27 ( 4 ~; 0 |; 22 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 !; 12 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(xx_type,type,
xx: $i ).
tff(sdtasdt0_type,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(xc_type,type,
xc: $i ).
tff(aElement0_type,type,
aElement0: $i > $o ).
tff(aElementOf0_type,type,
aElementOf0: ( $i * $i ) > $o ).
tff(slsdtgt0_type,type,
slsdtgt0: $i > $i ).
tff(xy_type,type,
xy: $i ).
tff(xz_type,type,
xz: $i ).
tff(1,plain,
( ~ ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) )
<=> ~ ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(3,plain,
~ ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) ),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,axiom,
( ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xy ) )
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).
tff(5,plain,
( ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xy ) )
& aElementOf0(xy,slsdtgt0(xc)) ),
inference(and_elim,[status(thm)],[4]) ).
tff(6,plain,
( ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xy ) ) ),
inference(and_elim,[status(thm)],[5]) ).
tff(7,plain,
( ? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) )
& aElementOf0(xx,slsdtgt0(xc)) ),
inference(and_elim,[status(thm)],[6]) ).
tff(8,plain,
? [W0: $i] :
( aElement0(W0)
& ( sdtasdt0(xc,W0) = xx ) ),
inference(and_elim,[status(thm)],[7]) ).
tff(9,plain,
$false,
inference(unit_resolution,[status(thm)],[8,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG101+2 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n009.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 : 300
% 0.12/0.34 % DateTime : Fri Jun 20 03:20:48 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% See solution above
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------