%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ009-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:23:08 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.36s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 120 ( 51 ~; 59 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_is_a_knight_type,type,
b_is_a_knight: $o ).
tff(c_is_a_knight_type,type,
c_is_a_knight: $o ).
tff(a_is_a_knight_type,type,
a_is_a_knight: $o ).
tff(d_is_a_knight_type,type,
d_is_a_knight: $o ).
tff(e_is_a_knight_type,type,
e_is_a_knight: $o ).
tff(1,axiom,
b_is_a_knight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
tff(2,axiom,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
tff(3,plain,
~ a_is_a_knight,
inference(unit_resolution,[status(thm)],[2,1]) ).
tff(4,axiom,
( a_is_a_knight
| ~ c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).
tff(5,plain,
~ c_is_a_knight,
inference(unit_resolution,[status(thm)],[4,3]) ).
tff(6,axiom,
( a_is_a_knight
| e_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).
tff(7,plain,
e_is_a_knight,
inference(unit_resolution,[status(thm)],[6,3]) ).
tff(8,plain,
( ( ~ d_is_a_knight
| c_is_a_knight
| ~ e_is_a_knight )
<=> ( ~ d_is_a_knight
| c_is_a_knight
| ~ e_is_a_knight ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,plain,
( ( ~ d_is_a_knight
| ~ e_is_a_knight
| c_is_a_knight )
<=> ( ~ d_is_a_knight
| c_is_a_knight
| ~ e_is_a_knight ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,plain,
( ( ~ e_is_a_knight
| ~ d_is_a_knight )
<=> ( ~ d_is_a_knight
| ~ e_is_a_knight ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,plain,
( ( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight )
<=> ( ~ d_is_a_knight
| ~ e_is_a_knight
| c_is_a_knight ) ),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
( ( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight )
<=> ( ~ d_is_a_knight
| c_is_a_knight
| ~ e_is_a_knight ) ),
inference(transitivity,[status(thm)],[11,9]) ).
tff(13,axiom,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
tff(14,plain,
( ~ d_is_a_knight
| c_is_a_knight
| ~ e_is_a_knight ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
( ~ d_is_a_knight
| c_is_a_knight
| ~ e_is_a_knight ),
inference(modus_ponens,[status(thm)],[14,8]) ).
tff(16,plain,
( ~ d_is_a_knight
| c_is_a_knight
| ~ e_is_a_knight ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ~ d_is_a_knight
| c_is_a_knight
| ~ e_is_a_knight ),
inference(modus_ponens,[status(thm)],[16,8]) ).
tff(18,plain,
~ d_is_a_knight,
inference(unit_resolution,[status(thm)],[17,5,7]) ).
tff(19,plain,
( ( ~ b_is_a_knight
| d_is_a_knight
| c_is_a_knight )
<=> ( ~ b_is_a_knight
| d_is_a_knight
| c_is_a_knight ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight )
<=> ( ~ b_is_a_knight
| d_is_a_knight
| c_is_a_knight ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ( ~ b_is_a_knight
| c_is_a_knight )
<=> ( ~ b_is_a_knight
| c_is_a_knight ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,plain,
( ( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight )
<=> ( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ) ),
inference(monotonicity,[status(thm)],[21]) ).
tff(23,plain,
( ( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight )
<=> ( ~ b_is_a_knight
| d_is_a_knight
| c_is_a_knight ) ),
inference(transitivity,[status(thm)],[22,20]) ).
tff(24,axiom,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
tff(25,plain,
( ~ b_is_a_knight
| d_is_a_knight
| c_is_a_knight ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
( ~ b_is_a_knight
| d_is_a_knight
| c_is_a_knight ),
inference(modus_ponens,[status(thm)],[25,19]) ).
tff(27,plain,
( ~ b_is_a_knight
| d_is_a_knight
| c_is_a_knight ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ~ b_is_a_knight
| d_is_a_knight
| c_is_a_knight ),
inference(modus_ponens,[status(thm)],[27,19]) ).
tff(29,plain,
$false,
inference(unit_resolution,[status(thm)],[28,18,5,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ009-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.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 : Fri Jun 20 02:39:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.36 % SZS status Unsatisfiable
% 0.20/0.36 % SZS output start Proof
% See solution above
% 0.20/0.37 % E exiting
%------------------------------------------------------------------------------