%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS064+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 05:13:17 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 58 ( 31 ~; 14 |; 7 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 12 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(cowlThing_type,type,
cowlThing: $i > $o ).
tff(i2003_11_14_17_18_08754_type,type,
i2003_11_14_17_18_08754: $i ).
tff(cowlNothing_type,type,
cowlNothing: $i > $o ).
tff(1,plain,
( cowlNothing(i2003_11_14_17_18_08754)
<=> cowlNothing(i2003_11_14_17_18_08754) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
cowlNothing(i2003_11_14_17_18_08754),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(3,plain,
cowlNothing(i2003_11_14_17_18_08754),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( cowlNothing(i2003_11_14_17_18_08754)
| ~ cowlThing(i2003_11_14_17_18_08754)
| ~ cowlNothing(i2003_11_14_17_18_08754) ),
inference(tautology,[status(thm)],[]) ).
tff(5,plain,
( cowlNothing(i2003_11_14_17_18_08754)
| ~ cowlThing(i2003_11_14_17_18_08754) ),
inference(unit_resolution,[status(thm)],[4,3]) ).
tff(6,plain,
^ [X: $i] :
refl(( ~ ( cowlNothing(X)
| ~ cowlThing(X) )
<=> ~ ( cowlNothing(X)
| ~ cowlThing(X) ) )),
inference(bind,[status(th)],[]) ).
tff(7,plain,
( ! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) )
<=> ! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(quant_intro,[status(thm)],[6]) ).
tff(8,plain,
^ [X: $i] :
rewrite(( ( cowlThing(X)
& ~ cowlNothing(X) )
<=> ~ ( cowlNothing(X)
| ~ cowlThing(X) ) )),
inference(bind,[status(th)],[]) ).
tff(9,plain,
( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
<=> ! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(quant_intro,[status(thm)],[8]) ).
tff(10,plain,
( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
<=> ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(12,plain,
! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) ),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) ),
inference(skolemize,[status(sab)],[12]) ).
tff(14,plain,
! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) ),
inference(modus_ponens,[status(thm)],[14,7]) ).
tff(16,plain,
( ~ ! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) )
| ~ ( cowlNothing(i2003_11_14_17_18_08754)
| ~ cowlThing(i2003_11_14_17_18_08754) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(17,plain,
$false,
inference(unit_resolution,[status(thm)],[16,15,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : KRS064+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 19:11:50 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable
% 0.13/0.38 % SZS output start Proof
% See solution above
% 0.13/0.38 % E exiting
%------------------------------------------------------------------------------