%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV145+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:31:35 AM UTC 2025
% Result : Theorem 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 3 |; 0 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 10 ( 9 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(leq_type,type,
leq: ( $i * $i ) > $o ).
tff(tptp_float_0_001_type,type,
tptp_float_0_001: $i ).
tff(s_best7_type,type,
s_best7: $i ).
tff(n0_type,type,
n0: $i ).
tff(1,plain,
( ~ leq(tptp_float_0_001,tptp_float_0_001)
<=> ~ leq(tptp_float_0_001,tptp_float_0_001) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ~ ( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(n0,s_best7) )
<=> ~ ( leq(tptp_float_0_001,tptp_float_0_001)
| leq(n0,s_best7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
~ ( ~ leq(tptp_float_0_001,tptp_float_0_001)
=> leq(n0,s_best7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0015) ).
tff(4,plain,
~ ( leq(tptp_float_0_001,tptp_float_0_001)
| leq(n0,s_best7) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ leq(tptp_float_0_001,tptp_float_0_001),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
~ leq(tptp_float_0_001,tptp_float_0_001),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
^ [X: $i] :
refl(( leq(X,X)
<=> leq(X,X) )),
inference(bind,[status(th)],[]) ).
tff(8,plain,
( ! [X: $i] : leq(X,X)
<=> ! [X: $i] : leq(X,X) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [X: $i] : leq(X,X)
<=> ! [X: $i] : leq(X,X) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
! [X: $i] : leq(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
tff(11,plain,
! [X: $i] : leq(X,X),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
! [X: $i] : leq(X,X),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [X: $i] : leq(X,X),
inference(modus_ponens,[status(thm)],[12,8]) ).
tff(14,plain,
( ~ ! [X: $i] : leq(X,X)
| leq(tptp_float_0_001,tptp_float_0_001) ),
inference(quant_inst,[status(thm)],[]) ).
tff(15,plain,
$false,
inference(unit_resolution,[status(thm)],[14,13,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV145+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n002.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 09:31:31 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 % SZS output start Proof
% See solution above
% 0.20/0.41 % E exiting
%------------------------------------------------------------------------------