%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ033-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:23:14 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of formulae : 81 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 296 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 384 ( 169 ~; 190 |; 0 &)
% ( 25 <=>; 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 : 12 ( 11 usr; 12 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(wind_in_east_type,type,
wind_in_east: $o ).
tff(fire_smokes_type,type,
fire_smokes: $o ).
tff(door_is_open_type,type,
door_is_open: $o ).
tff(neighbor_practices_flute_type,type,
neighbor_practices_flute: $o ).
tff(foggy_type,type,
foggy: $o ).
tff(sunshine_type,type,
sunshine: $o ).
tff(cold_type,type,
cold: $o ).
tff(window_is_shut_type,type,
window_is_shut: $o ).
tff(wind_in_gusts_type,type,
wind_in_gusts: $o ).
tff(fire_is_lit_type,type,
fire_is_lit: $o ).
tff(i_feel_rheumatic_type,type,
i_feel_rheumatic: $o ).
tff(1,axiom,
wind_in_east,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).
tff(2,plain,
( ( ~ wind_in_east
| sunshine )
<=> ( ~ wind_in_east
| sunshine ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
( ~ wind_in_east
| sunshine ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
tff(4,plain,
( ~ wind_in_east
| sunshine ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
( ~ wind_in_east
| sunshine ),
inference(modus_ponens,[status(thm)],[4,2]) ).
tff(6,plain,
( ~ wind_in_east
| sunshine ),
inference(modus_ponens,[status(thm)],[5,2]) ).
tff(7,plain,
( ~ wind_in_east
| sunshine ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
sunshine,
inference(unit_resolution,[status(thm)],[7,1]) ).
tff(9,plain,
( ( ~ sunshine
| foggy )
<=> ( foggy
| ~ sunshine ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
( ~ sunshine
| foggy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
tff(11,plain,
( foggy
| ~ sunshine ),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
foggy,
inference(unit_resolution,[status(thm)],[11,8]) ).
tff(13,axiom,
~ window_is_shut,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_window_is_shut) ).
tff(14,plain,
( ( cold
| ~ foggy
| ~ sunshine
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| window_is_shut ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ( cold
| ~ foggy
| ~ sunshine
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| window_is_shut ) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,plain,
( ( cold
| ~ sunshine
| ~ foggy )
<=> ( cold
| ~ foggy
| ~ sunshine ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,plain,
( ( ~ sunshine
| cold )
<=> ( cold
| ~ sunshine ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,plain,
( ( ~ sunshine
| cold
| ~ foggy )
<=> ( cold
| ~ sunshine
| ~ foggy ) ),
inference(monotonicity,[status(thm)],[17]) ).
tff(19,plain,
( ( ~ sunshine
| cold
| ~ foggy )
<=> ( cold
| ~ foggy
| ~ sunshine ) ),
inference(transitivity,[status(thm)],[18,16]) ).
tff(20,plain,
( ( ~ sunshine
| cold
| ~ foggy
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| window_is_shut ) ),
inference(monotonicity,[status(thm)],[19]) ).
tff(21,plain,
( ( ~ sunshine
| cold
| ~ foggy
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| window_is_shut ) ),
inference(transitivity,[status(thm)],[20,15]) ).
tff(22,axiom,
( ~ sunshine
| cold
| ~ foggy
| window_is_shut ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
tff(23,plain,
( cold
| ~ foggy
| ~ sunshine
| window_is_shut ),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
( cold
| ~ foggy
| ~ sunshine
| window_is_shut ),
inference(modus_ponens,[status(thm)],[23,14]) ).
tff(25,plain,
( cold
| ~ foggy
| ~ sunshine
| window_is_shut ),
inference(modus_ponens,[status(thm)],[24,14]) ).
tff(26,plain,
( cold
| ~ foggy
| ~ sunshine
| window_is_shut ),
inference(modus_ponens,[status(thm)],[25,14]) ).
tff(27,plain,
cold,
inference(unit_resolution,[status(thm)],[26,12,8,13]) ).
tff(28,plain,
( ( ~ cold
| ~ foggy
| neighbor_practices_flute )
<=> ( ~ cold
| ~ foggy
| neighbor_practices_flute ) ),
inference(rewrite,[status(thm)],[]) ).
tff(29,plain,
( ( ~ cold
| ~ foggy
| neighbor_practices_flute )
<=> ( ~ cold
| ~ foggy
| neighbor_practices_flute ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
tff(31,plain,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[31,28]) ).
tff(33,plain,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[32,28]) ).
tff(34,plain,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[33,28]) ).
tff(35,plain,
neighbor_practices_flute,
inference(unit_resolution,[status(thm)],[34,27,12]) ).
tff(36,plain,
( ( ~ neighbor_practices_flute
| ~ door_is_open )
<=> ( ~ door_is_open
| ~ neighbor_practices_flute ) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
( ~ neighbor_practices_flute
| ~ door_is_open ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
tff(38,plain,
( ~ door_is_open
| ~ neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
~ door_is_open,
inference(unit_resolution,[status(thm)],[38,35]) ).
tff(40,plain,
( ( ~ fire_smokes
| door_is_open )
<=> ( ~ fire_smokes
| door_is_open ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,axiom,
( ~ fire_smokes
| door_is_open ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
tff(42,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[42,40]) ).
tff(44,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[43,40]) ).
tff(45,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[44,40]) ).
tff(46,plain,
~ fire_smokes,
inference(unit_resolution,[status(thm)],[45,39]) ).
tff(47,plain,
( ( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic )
<=> ( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,plain,
( ( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic )
<=> ( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,axiom,
( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
tff(50,plain,
( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ),
inference(modus_ponens,[status(thm)],[49,48]) ).
tff(51,plain,
( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ),
inference(modus_ponens,[status(thm)],[50,47]) ).
tff(52,plain,
( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ),
inference(modus_ponens,[status(thm)],[51,47]) ).
tff(53,plain,
( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ),
inference(modus_ponens,[status(thm)],[52,47]) ).
tff(54,plain,
i_feel_rheumatic,
inference(unit_resolution,[status(thm)],[53,12,1]) ).
tff(55,plain,
( ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit )
<=> ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ) ),
inference(rewrite,[status(thm)],[]) ).
tff(56,plain,
( ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit )
<=> ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ) ),
inference(rewrite,[status(thm)],[]) ).
tff(57,axiom,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
tff(58,plain,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[58,55]) ).
tff(60,plain,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[59,55]) ).
tff(61,plain,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[60,55]) ).
tff(62,plain,
fire_is_lit,
inference(unit_resolution,[status(thm)],[61,27,54]) ).
tff(63,plain,
( ( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit )
<=> ( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,plain,
( ( door_is_open
| wind_in_gusts
| ~ fire_is_lit
| ~ i_feel_rheumatic )
<=> ( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ) ),
inference(rewrite,[status(thm)],[]) ).
tff(65,plain,
( ( wind_in_gusts
| ~ fire_is_lit
| door_is_open )
<=> ( door_is_open
| wind_in_gusts
| ~ fire_is_lit ) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,plain,
( ( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic )
<=> ( door_is_open
| wind_in_gusts
| ~ fire_is_lit
| ~ i_feel_rheumatic ) ),
inference(monotonicity,[status(thm)],[65]) ).
tff(67,plain,
( ( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic )
<=> ( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ) ),
inference(transitivity,[status(thm)],[66,64]) ).
tff(68,axiom,
( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
tff(69,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[69,63]) ).
tff(71,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[70,63]) ).
tff(72,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[71,63]) ).
tff(73,plain,
wind_in_gusts,
inference(unit_resolution,[status(thm)],[72,39,54,62]) ).
tff(74,plain,
( ( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts )
<=> ( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ) ),
inference(rewrite,[status(thm)],[]) ).
tff(75,plain,
( ( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes )
<=> ( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ) ),
inference(rewrite,[status(thm)],[]) ).
tff(76,axiom,
( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
tff(77,plain,
( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ),
inference(modus_ponens,[status(thm)],[77,74]) ).
tff(79,plain,
( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ),
inference(modus_ponens,[status(thm)],[78,74]) ).
tff(80,plain,
( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ),
inference(modus_ponens,[status(thm)],[79,74]) ).
tff(81,plain,
$false,
inference(unit_resolution,[status(thm)],[80,73,46,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : PUZ033-1 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n012.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 : Fri Jun 20 02:39:55 EDT 2025
% 0.13/0.35 % 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
%------------------------------------------------------------------------------