%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KLE057+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:12:57 AM UTC 2025
% Result : Theorem 0.15s 0.40s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(zero_type,type,
zero: $i ).
tff(domain_type,type,
domain: $i > $i ).
tff(1,plain,
( ~ ! [X0: $i] :
( ( X0 = zero )
=> ( domain(X0) = zero ) )
<=> ( domain(zero) != zero ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ ! [X0: $i] :
( ( X0 = zero )
=> ( domain(X0) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(3,plain,
domain(zero) != zero,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain4) ).
tff(5,plain,
$false,
inference(unit_resolution,[status(thm)],[4,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : KLE057+1 : TPTP v9.0.0. Released v4.0.0.
% 0.14/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n016.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Jun 19 18:57:02 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.15/0.40 % SZS status Theorem
% 0.15/0.40 % SZS output start Proof
% See solution above
% 0.15/0.40 % E exiting
%------------------------------------------------------------------------------