%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ013-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:23:09 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 48 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 261 ( 122 ~; 121 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(some_scotch_dance_not_type,type,
some_scotch_dance_not: $o ).
tff(some_germans_play_type,type,
some_germans_play: $o ).
tff(some_english_sing_type,type,
some_english_sing: $o ).
tff(some_english_sing_not_type,type,
some_english_sing_not: $o ).
tff(some_monitors_are_awake_type,type,
some_monitors_are_awake: $o ).
tff(some_irish_fight_not_type,type,
some_irish_fight_not: $o ).
tff(some_monitors_are_not_awake_type,type,
some_monitors_are_not_awake: $o ).
tff(1,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).
tff(2,axiom,
some_english_sing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).
tff(3,axiom,
~ some_monitors_are_awake,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).
tff(4,plain,
( ( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake )
<=> ( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake )
<=> ( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,axiom,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
tff(7,plain,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
inference(modus_ponens,[status(thm)],[7,4]) ).
tff(9,plain,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
inference(modus_ponens,[status(thm)],[9,4]) ).
tff(11,plain,
~ some_english_sing_not,
inference(unit_resolution,[status(thm)],[10,2,3]) ).
tff(12,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play
| ~ some_scotch_dance_not )
<=> ( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play
| ~ some_scotch_dance_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play )
<=> ( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play
| ~ some_scotch_dance_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not )
<=> ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ( ~ some_english_sing
| some_english_sing_not )
<=> ( ~ some_english_sing
| some_english_sing_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not )
<=> ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not ) ),
inference(monotonicity,[status(thm)],[15]) ).
tff(17,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not )
<=> ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not ) ),
inference(transitivity,[status(thm)],[16,14]) ).
tff(18,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play )
<=> ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ) ),
inference(monotonicity,[status(thm)],[17]) ).
tff(19,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play )
<=> ( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play
| ~ some_scotch_dance_not ) ),
inference(transitivity,[status(thm)],[18,13]) ).
tff(20,axiom,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
tff(21,plain,
( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play
| ~ some_scotch_dance_not ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play
| ~ some_scotch_dance_not ),
inference(modus_ponens,[status(thm)],[21,12]) ).
tff(23,plain,
( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play
| ~ some_scotch_dance_not ),
inference(modus_ponens,[status(thm)],[22,12]) ).
tff(24,plain,
( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play
| ~ some_scotch_dance_not ),
inference(modus_ponens,[status(thm)],[23,12]) ).
tff(25,plain,
~ some_germans_play,
inference(unit_resolution,[status(thm)],[24,11,2,1]) ).
tff(26,plain,
( ( some_monitors_are_not_awake
| some_monitors_are_awake )
<=> ( some_monitors_are_awake
| some_monitors_are_not_awake ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
( some_monitors_are_not_awake
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13) ).
tff(28,plain,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
some_monitors_are_not_awake,
inference(unit_resolution,[status(thm)],[28,3]) ).
tff(30,plain,
( ( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not )
<=> ( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,plain,
( ( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not )
<=> ( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
tff(33,plain,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
inference(modus_ponens,[status(thm)],[33,30]) ).
tff(35,plain,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
inference(modus_ponens,[status(thm)],[34,30]) ).
tff(36,plain,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
inference(modus_ponens,[status(thm)],[35,30]) ).
tff(37,plain,
some_irish_fight_not,
inference(unit_resolution,[status(thm)],[36,29,2]) ).
tff(38,plain,
( ( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not )
<=> ( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(39,plain,
( ( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play )
<=> ( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,plain,
( ( ~ some_scotch_dance_not
| ~ some_irish_fight_not )
<=> ( ~ some_scotch_dance_not
| ~ some_irish_fight_not ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,plain,
( ( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play )
<=> ( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ) ),
inference(monotonicity,[status(thm)],[40]) ).
tff(42,plain,
( ( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play )
<=> ( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ) ),
inference(transitivity,[status(thm)],[41,39]) ).
tff(43,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
tff(44,plain,
( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ),
inference(modus_ponens,[status(thm)],[44,38]) ).
tff(46,plain,
( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ),
inference(modus_ponens,[status(thm)],[45,38]) ).
tff(47,plain,
( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ),
inference(modus_ponens,[status(thm)],[46,38]) ).
tff(48,plain,
$false,
inference(unit_resolution,[status(thm)],[47,37,25,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ013-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n003.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 02:39:39 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% See solution above
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------