%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS063+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of formulae : 61 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 398 ( 0 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 748 ( 425 ~; 250 |; 27 &)
% ( 46 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 118 ( 107 !; 4 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
tff(cowlThing_type,type,
cowlThing: $i > $o ).
tff(iUK_type,type,
iUK: $i ).
tff(cowlNothing_type,type,
cowlNothing: $i > $o ).
tff(risEuroMPFrom_type,type,
risEuroMPFrom: ( $i * $i ) > $o ).
tff(iKinnock_type,type,
iKinnock: $i ).
tff(rhasEuroMP_type,type,
rhasEuroMP: ( $i * $i ) > $o ).
tff(cEuroMP_type,type,
cEuroMP: $i > $o ).
tff(tptp_fun_Y_0_type,type,
tptp_fun_Y_0: $i > $i ).
tff(1,plain,
^ [X: $i,Y: $i] :
refl(( ( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) )
<=> ( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) )
<=> ! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) )
<=> ! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(5,plain,
! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [X: $i,Y: $i] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) )
| ( risEuroMPFrom(iKinnock,iUK)
<=> rhasEuroMP(iUK,iKinnock) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
( risEuroMPFrom(iKinnock,iUK)
<=> rhasEuroMP(iUK,iKinnock) ),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
( rhasEuroMP(iUK,iKinnock)
<=> rhasEuroMP(iUK,iKinnock) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
rhasEuroMP(iUK,iKinnock),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
tff(12,plain,
rhasEuroMP(iUK,iKinnock),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
( ~ ( risEuroMPFrom(iKinnock,iUK)
<=> rhasEuroMP(iUK,iKinnock) )
| risEuroMPFrom(iKinnock,iUK)
| ~ rhasEuroMP(iUK,iKinnock) ),
inference(tautology,[status(thm)],[]) ).
tff(14,plain,
( ~ ( risEuroMPFrom(iKinnock,iUK)
<=> rhasEuroMP(iUK,iKinnock) )
| risEuroMPFrom(iKinnock,iUK) ),
inference(unit_resolution,[status(thm)],[13,12]) ).
tff(15,plain,
risEuroMPFrom(iKinnock,iUK),
inference(unit_resolution,[status(thm)],[14,9]) ).
tff(16,plain,
^ [X: $i] :
refl(( ~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
<=> ~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(17,plain,
( ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[16]) ).
tff(18,plain,
^ [X: $i] :
rewrite(( ~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
<=> ~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(19,plain,
( ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) ),
inference(transitivity,[status(thm)],[19,17]) ).
tff(21,plain,
^ [X: $i] :
trans(monotonicity(rewrite(( ( ~ cEuroMP(X)
| ( risEuroMPFrom(X,tptp_fun_Y_0(X))
& cowlThing(tptp_fun_Y_0(X)) ) )
<=> ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) ) )),
rewrite(( ( cEuroMP(X)
| ! [Y: $i] :
~ ( risEuroMPFrom(X,Y)
& cowlThing(Y) ) )
<=> ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )),
( ( ( ~ cEuroMP(X)
| ( risEuroMPFrom(X,tptp_fun_Y_0(X))
& cowlThing(tptp_fun_Y_0(X)) ) )
& ( cEuroMP(X)
| ! [Y: $i] :
~ ( risEuroMPFrom(X,Y)
& cowlThing(Y) ) ) )
<=> ( ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
& ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) )),
rewrite(( ( ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
& ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
<=> ~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) )),
( ( ( ~ cEuroMP(X)
| ( risEuroMPFrom(X,tptp_fun_Y_0(X))
& cowlThing(tptp_fun_Y_0(X)) ) )
& ( cEuroMP(X)
| ! [Y: $i] :
~ ( risEuroMPFrom(X,Y)
& cowlThing(Y) ) ) )
<=> ~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(22,plain,
( ! [X: $i] :
( ( ~ cEuroMP(X)
| ( risEuroMPFrom(X,tptp_fun_Y_0(X))
& cowlThing(tptp_fun_Y_0(X)) ) )
& ( cEuroMP(X)
| ! [Y: $i] :
~ ( risEuroMPFrom(X,Y)
& cowlThing(Y) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,plain,
( ! [X: $i] :
( cEuroMP(X)
<=> ? [Y: $i] :
( risEuroMPFrom(X,Y)
& cowlThing(Y) ) )
<=> ! [X: $i] :
( cEuroMP(X)
<=> ? [Y: $i] :
( risEuroMPFrom(X,Y)
& cowlThing(Y) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,axiom,
! [X: $i] :
( cEuroMP(X)
<=> ? [Y: $i] :
( risEuroMPFrom(X,Y)
& cowlThing(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(25,plain,
! [X: $i] :
( cEuroMP(X)
<=> ? [Y: $i] :
( risEuroMPFrom(X,Y)
& cowlThing(Y) ) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
! [X: $i] :
( ( ~ cEuroMP(X)
| ( risEuroMPFrom(X,tptp_fun_Y_0(X))
& cowlThing(tptp_fun_Y_0(X)) ) )
& ( cEuroMP(X)
| ! [Y: $i] :
~ ( risEuroMPFrom(X,Y)
& cowlThing(Y) ) ) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[26,22]) ).
tff(28,plain,
! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[27,20]) ).
tff(29,plain,
( ( ~ ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
| ~ ( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ cowlThing(tptp_fun_Y_0(iKinnock))
| ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock)) ) ) ) )
<=> ( ~ ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
| ~ ( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ cowlThing(tptp_fun_Y_0(iKinnock))
| ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock)) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,plain,
( ~ ( ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock))
| ~ cowlThing(tptp_fun_Y_0(iKinnock)) ) )
| ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) ) )
<=> ~ ( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ cowlThing(tptp_fun_Y_0(iKinnock))
| ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock)) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,plain,
( ( ~ ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
| ~ ( ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock))
| ~ cowlThing(tptp_fun_Y_0(iKinnock)) ) )
| ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) ) ) )
<=> ( ~ ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
| ~ ( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ cowlThing(tptp_fun_Y_0(iKinnock))
| ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock)) ) ) ) ) ),
inference(monotonicity,[status(thm)],[30]) ).
tff(32,plain,
( ( ~ ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
| ~ ( ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock))
| ~ cowlThing(tptp_fun_Y_0(iKinnock)) ) )
| ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) ) ) )
<=> ( ~ ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
| ~ ( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ cowlThing(tptp_fun_Y_0(iKinnock))
| ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock)) ) ) ) ) ),
inference(transitivity,[status(thm)],[31,29]) ).
tff(33,plain,
( ~ ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
| ~ ( ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock))
| ~ cowlThing(tptp_fun_Y_0(iKinnock)) ) )
| ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [X: $i] :
~ ( ~ ( ~ cEuroMP(X)
| ~ ( ~ risEuroMPFrom(X,tptp_fun_Y_0(X))
| ~ cowlThing(tptp_fun_Y_0(X)) ) )
| ~ ( cEuroMP(X)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) ) )
| ~ ( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ cowlThing(tptp_fun_Y_0(iKinnock))
| ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock)) ) ) ) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
~ ( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ cowlThing(tptp_fun_Y_0(iKinnock))
| ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock)) ) ) ),
inference(unit_resolution,[status(thm)],[34,28]) ).
tff(36,plain,
( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ~ ( ~ cEuroMP(iKinnock)
| ~ ( ~ cowlThing(tptp_fun_Y_0(iKinnock))
| ~ risEuroMPFrom(iKinnock,tptp_fun_Y_0(iKinnock)) ) )
| cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) ),
inference(tautology,[status(thm)],[]) ).
tff(37,plain,
( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) ),
inference(unit_resolution,[status(thm)],[36,35]) ).
tff(38,plain,
( ~ cEuroMP(iKinnock)
<=> ~ cEuroMP(iKinnock) ),
inference(rewrite,[status(thm)],[]) ).
tff(39,axiom,
~ cEuroMP(iKinnock),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
tff(40,plain,
~ cEuroMP(iKinnock),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) ),
inference(tautology,[status(thm)],[]) ).
tff(42,plain,
( ~ ( cEuroMP(iKinnock)
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) )
| ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ) ),
inference(unit_resolution,[status(thm)],[41,40]) ).
tff(43,plain,
! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) ),
inference(unit_resolution,[status(thm)],[42,37]) ).
tff(44,plain,
( ( ~ ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) )
| ~ cowlThing(iUK)
| ~ risEuroMPFrom(iKinnock,iUK) )
<=> ( ~ ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) )
| ~ cowlThing(iUK)
| ~ risEuroMPFrom(iKinnock,iUK) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(45,plain,
( ~ ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) )
| ~ cowlThing(iUK)
| ~ risEuroMPFrom(iKinnock,iUK) ),
inference(quant_inst,[status(thm)],[]) ).
tff(46,plain,
( ~ ! [Y: $i] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(iKinnock,Y) )
| ~ cowlThing(iUK)
| ~ risEuroMPFrom(iKinnock,iUK) ),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
~ cowlThing(iUK),
inference(unit_resolution,[status(thm)],[46,43,15]) ).
tff(48,plain,
( cowlNothing(iUK)
| ~ cowlThing(iUK)
| cowlThing(iUK) ),
inference(tautology,[status(thm)],[]) ).
tff(49,plain,
( cowlNothing(iUK)
| ~ cowlThing(iUK) ),
inference(unit_resolution,[status(thm)],[48,47]) ).
tff(50,plain,
^ [X: $i] :
refl(( ~ ( cowlNothing(X)
| ~ cowlThing(X) )
<=> ~ ( cowlNothing(X)
| ~ cowlThing(X) ) )),
inference(bind,[status(th)],[]) ).
tff(51,plain,
( ! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) )
<=> ! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(quant_intro,[status(thm)],[50]) ).
tff(52,plain,
^ [X: $i] :
rewrite(( ( cowlThing(X)
& ~ cowlNothing(X) )
<=> ~ ( cowlNothing(X)
| ~ cowlThing(X) ) )),
inference(bind,[status(th)],[]) ).
tff(53,plain,
( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
<=> ! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(quant_intro,[status(thm)],[52]) ).
tff(54,plain,
( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
<=> ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(55,axiom,
! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(56,plain,
! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) ),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) ),
inference(skolemize,[status(sab)],[56]) ).
tff(58,plain,
! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) ),
inference(modus_ponens,[status(thm)],[57,53]) ).
tff(59,plain,
! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) ),
inference(modus_ponens,[status(thm)],[58,51]) ).
tff(60,plain,
( ~ ! [X: $i] :
~ ( cowlNothing(X)
| ~ cowlThing(X) )
| ~ ( cowlNothing(iUK)
| ~ cowlThing(iUK) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(61,plain,
$false,
inference(unit_resolution,[status(thm)],[60,59,49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS063+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 19:14:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% See solution above
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------