%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN727-1 : TPTP v9.0.0. Released v2.5.0.
% 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 05:39:55 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 32 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 84 ( 43 ~; 29 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 54 ( 48 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
tff(likes_type,type,
likes: ( $i * $i ) > $o ).
tff(bruce_type,type,
bruce: $i ).
tff(sk1_type,type,
sk1: $i > $i ).
tff(lyle_type,type,
lyle: $i ).
tff(1,plain,
^ [A: $i] :
refl(( ~ likes(A,sk1(A))
<=> ~ likes(A,sk1(A)) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [A: $i] : ~ likes(A,sk1(A))
<=> ! [A: $i] : ~ likes(A,sk1(A)) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [A: $i] : ~ likes(A,sk1(A))
<=> ! [A: $i] : ~ likes(A,sk1(A)) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [A: $i] : ~ likes(A,sk1(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm68_3) ).
tff(5,plain,
! [A: $i] : ~ likes(A,sk1(A)),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [A: $i] : ~ likes(A,sk1(A)),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [A: $i] : ~ likes(A,sk1(A)),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [A: $i] : ~ likes(A,sk1(A))
| ~ likes(lyle,sk1(lyle)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
~ likes(lyle,sk1(lyle)),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [B: $i,A: $i] :
refl(( ( ~ likes(A,B)
| likes(lyle,A) )
<=> ( ~ likes(A,B)
| likes(lyle,A) ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) )
<=> ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) )
<=> ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,plain,
^ [B: $i,A: $i] :
rewrite(( ( likes(lyle,A)
| ~ likes(A,B) )
<=> ( ~ likes(A,B)
| likes(lyle,A) ) )),
inference(bind,[status(th)],[]) ).
tff(14,plain,
( ! [B: $i,A: $i] :
( likes(lyle,A)
| ~ likes(A,B) )
<=> ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,axiom,
! [B: $i,A: $i] :
( likes(lyle,A)
| ~ likes(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm68_2) ).
tff(16,plain,
! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) ),
inference(modus_ponens,[status(thm)],[18,11]) ).
tff(20,plain,
( ( ~ ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) )
| ~ likes(sk1(lyle),bruce)
| likes(lyle,sk1(lyle)) )
<=> ( ~ ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) )
| ~ likes(sk1(lyle),bruce)
| likes(lyle,sk1(lyle)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ~ ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) )
| ~ likes(sk1(lyle),bruce)
| likes(lyle,sk1(lyle)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(22,plain,
( ~ ! [B: $i,A: $i] :
( ~ likes(A,B)
| likes(lyle,A) )
| ~ likes(sk1(lyle),bruce)
| likes(lyle,sk1(lyle)) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
~ likes(sk1(lyle),bruce),
inference(unit_resolution,[status(thm)],[22,19,9]) ).
tff(24,plain,
^ [A: $i] :
refl(( likes(A,bruce)
<=> likes(A,bruce) )),
inference(bind,[status(th)],[]) ).
tff(25,plain,
( ! [A: $i] : likes(A,bruce)
<=> ! [A: $i] : likes(A,bruce) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [A: $i] : likes(A,bruce)
<=> ! [A: $i] : likes(A,bruce) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
! [A: $i] : likes(A,bruce),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm68_1) ).
tff(28,plain,
! [A: $i] : likes(A,bruce),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
! [A: $i] : likes(A,bruce),
inference(skolemize,[status(sab)],[28]) ).
tff(30,plain,
! [A: $i] : likes(A,bruce),
inference(modus_ponens,[status(thm)],[29,25]) ).
tff(31,plain,
( ~ ! [A: $i] : likes(A,bruce)
| likes(sk1(lyle),bruce) ),
inference(quant_inst,[status(thm)],[]) ).
tff(32,plain,
$false,
inference(unit_resolution,[status(thm)],[31,30,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN727-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.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 12:45:20 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Proof
% See solution above
% 0.12/0.39 % E exiting
%------------------------------------------------------------------------------