TSTP Solution File: PUZ033-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 : Sun Sep 18 14:11:00 EDT 2022
% Result : Unsatisfiable 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 68
% Syntax : Number of formulae : 190 ( 13 unt; 11 typ; 0 def)
% Number of atoms : 620 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 735 ( 294 ~; 309 |; 0 &)
% ( 132 <=>; 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 : 13 ( 11 usr; 13 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(wind_in_gusts_type,type,
wind_in_gusts: $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(cold_type,type,
cold: $o ).
tff(sunshine_type,type,
sunshine: $o ).
tff(wind_in_east_type,type,
wind_in_east: $o ).
tff(window_is_shut_type,type,
window_is_shut: $o ).
tff(fire_is_lit_type,type,
fire_is_lit: $o ).
tff(i_feel_rheumatic_type,type,
i_feel_rheumatic: $o ).
tff(1,plain,
( ( wind_in_gusts
<=> $false )
<=> ~ wind_in_gusts ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ wind_in_gusts
<=> ( wind_in_gusts
<=> $false ) ),
inference(symmetry,[status(thm)],[1]) ).
tff(3,plain,
( ( $false
| ~ wind_in_gusts )
<=> ~ wind_in_gusts ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ( fire_smokes
<=> $false )
<=> ~ fire_smokes ),
inference(rewrite,[status(thm)],]) ).
tff(5,plain,
( ~ fire_smokes
<=> ( fire_smokes
<=> $false ) ),
inference(symmetry,[status(thm)],[4]) ).
tff(6,plain,
( ( ~ fire_smokes
| $false )
<=> ~ fire_smokes ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
( ( door_is_open
<=> $false )
<=> ~ door_is_open ),
inference(rewrite,[status(thm)],]) ).
tff(8,plain,
( ~ door_is_open
<=> ( door_is_open
<=> $false ) ),
inference(symmetry,[status(thm)],[7]) ).
tff(9,plain,
( ( ~ door_is_open
| $false )
<=> ~ door_is_open ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(11,plain,
( ( neighbor_practices_flute
<=> $true )
<=> neighbor_practices_flute ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( neighbor_practices_flute
<=> ( neighbor_practices_flute
<=> $true ) ),
inference(symmetry,[status(thm)],[11]) ).
tff(13,plain,
( ( $false
| $false
| neighbor_practices_flute )
<=> neighbor_practices_flute ),
inference(rewrite,[status(thm)],]) ).
tff(14,plain,
( ( foggy
| $false )
<=> foggy ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ( $false
| sunshine )
<=> sunshine ),
inference(rewrite,[status(thm)],]) ).
tff(16,axiom,
wind_in_east,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
tff(17,plain,
( wind_in_east
<=> $true ),
inference(iff_true,[status(thm)],[16]) ).
tff(18,plain,
( ~ wind_in_east
<=> ~ $true ),
inference(monotonicity,[status(thm)],[17]) ).
tff(19,plain,
( ~ wind_in_east
<=> $false ),
inference(transitivity,[status(thm)],[18,10]) ).
tff(20,plain,
( ( ~ wind_in_east
| sunshine )
<=> ( $false
| sunshine ) ),
inference(monotonicity,[status(thm)],[19]) ).
tff(21,plain,
( ( ~ wind_in_east
| sunshine )
<=> sunshine ),
inference(transitivity,[status(thm)],[20,15]) ).
tff(22,plain,
( ( ~ wind_in_east
| sunshine )
<=> ( ~ wind_in_east
| sunshine ) ),
inference(rewrite,[status(thm)],]) ).
tff(23,axiom,
( ~ wind_in_east
| sunshine ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
tff(24,plain,
( ~ wind_in_east
| sunshine ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
( ~ wind_in_east
| sunshine ),
inference(modus_ponens,[status(thm)],[24,22]) ).
tff(26,plain,
sunshine,
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
( sunshine
<=> $true ),
inference(iff_true,[status(thm)],[26]) ).
tff(28,plain,
( ~ sunshine
<=> ~ $true ),
inference(monotonicity,[status(thm)],[27]) ).
tff(29,plain,
( ~ sunshine
<=> $false ),
inference(transitivity,[status(thm)],[28,10]) ).
tff(30,plain,
( ( foggy
| ~ sunshine )
<=> ( foggy
| $false ) ),
inference(monotonicity,[status(thm)],[29]) ).
tff(31,plain,
( ( foggy
| ~ sunshine )
<=> foggy ),
inference(transitivity,[status(thm)],[30,14]) ).
tff(32,plain,
( ( ~ sunshine
| foggy )
<=> ( foggy
| ~ sunshine ) ),
inference(rewrite,[status(thm)],]) ).
tff(33,axiom,
( ~ sunshine
| foggy ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
tff(34,plain,
( foggy
| ~ sunshine ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
foggy,
inference(modus_ponens,[status(thm)],[34,31]) ).
tff(36,plain,
( foggy
<=> $true ),
inference(iff_true,[status(thm)],[35]) ).
tff(37,plain,
( ~ foggy
<=> ~ $true ),
inference(monotonicity,[status(thm)],[36]) ).
tff(38,plain,
( ~ foggy
<=> $false ),
inference(transitivity,[status(thm)],[37,10]) ).
tff(39,plain,
( ( cold
| $false )
<=> cold ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ( cold
| ~ foggy )
<=> ( cold
| $false ) ),
inference(monotonicity,[status(thm)],[38]) ).
tff(41,plain,
( ( cold
| ~ foggy )
<=> cold ),
inference(transitivity,[status(thm)],[40,39]) ).
tff(42,plain,
( ( cold
| ~ foggy
| $false )
<=> ( cold
| ~ foggy ) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( ( cold
| ~ foggy
| ~ sunshine )
<=> ( cold
| ~ foggy
| $false ) ),
inference(monotonicity,[status(thm)],[29]) ).
tff(44,plain,
( ( cold
| ~ foggy
| ~ sunshine )
<=> ( cold
| ~ foggy ) ),
inference(transitivity,[status(thm)],[43,42]) ).
tff(45,plain,
( ( cold
| ~ foggy
| ~ sunshine
| $false )
<=> ( cold
| ~ foggy
| ~ sunshine ) ),
inference(rewrite,[status(thm)],]) ).
tff(46,axiom,
~ window_is_shut,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_window_is_shut) ).
tff(47,plain,
( window_is_shut
<=> $false ),
inference(iff_false,[status(thm)],[46]) ).
tff(48,plain,
( ( cold
| ~ foggy
| ~ sunshine
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| $false ) ),
inference(monotonicity,[status(thm)],[47]) ).
tff(49,plain,
( ( cold
| ~ foggy
| ~ sunshine
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine ) ),
inference(transitivity,[status(thm)],[48,45]) ).
tff(50,plain,
( ( cold
| ~ foggy
| ~ sunshine
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| window_is_shut ) ),
inference(rewrite,[status(thm)],]) ).
tff(51,plain,
( ( cold
| ~ foggy
| ~ sunshine
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| window_is_shut ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
( ( cold
| ~ sunshine
| ~ foggy )
<=> ( cold
| ~ foggy
| ~ sunshine ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
( ( ~ sunshine
| cold )
<=> ( cold
| ~ sunshine ) ),
inference(rewrite,[status(thm)],]) ).
tff(54,plain,
( ( ~ sunshine
| cold
| ~ foggy )
<=> ( cold
| ~ sunshine
| ~ foggy ) ),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
( ( ~ sunshine
| cold
| ~ foggy )
<=> ( cold
| ~ foggy
| ~ sunshine ) ),
inference(transitivity,[status(thm)],[54,52]) ).
tff(56,plain,
( ( ~ sunshine
| cold
| ~ foggy
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| window_is_shut ) ),
inference(monotonicity,[status(thm)],[55]) ).
tff(57,plain,
( ( ~ sunshine
| cold
| ~ foggy
| window_is_shut )
<=> ( cold
| ~ foggy
| ~ sunshine
| window_is_shut ) ),
inference(transitivity,[status(thm)],[56,51]) ).
tff(58,axiom,
( ~ sunshine
| cold
| ~ foggy
| window_is_shut ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).
tff(59,plain,
( cold
| ~ foggy
| ~ sunshine
| window_is_shut ),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
( cold
| ~ foggy
| ~ sunshine
| window_is_shut ),
inference(modus_ponens,[status(thm)],[59,50]) ).
tff(61,plain,
( cold
| ~ foggy
| ~ sunshine ),
inference(modus_ponens,[status(thm)],[60,49]) ).
tff(62,plain,
( cold
| ~ foggy ),
inference(modus_ponens,[status(thm)],[61,44]) ).
tff(63,plain,
cold,
inference(modus_ponens,[status(thm)],[62,41]) ).
tff(64,plain,
( cold
<=> $true ),
inference(iff_true,[status(thm)],[63]) ).
tff(65,plain,
( ~ cold
<=> ~ $true ),
inference(monotonicity,[status(thm)],[64]) ).
tff(66,plain,
( ~ cold
<=> $false ),
inference(transitivity,[status(thm)],[65,10]) ).
tff(67,plain,
( ( ~ cold
| ~ foggy
| neighbor_practices_flute )
<=> ( $false
| $false
| neighbor_practices_flute ) ),
inference(monotonicity,[status(thm)],[66,38]) ).
tff(68,plain,
( ( ~ cold
| ~ foggy
| neighbor_practices_flute )
<=> neighbor_practices_flute ),
inference(transitivity,[status(thm)],[67,13]) ).
tff(69,plain,
( ( ~ cold
| ~ foggy
| neighbor_practices_flute )
<=> ( ~ cold
| ~ foggy
| neighbor_practices_flute ) ),
inference(rewrite,[status(thm)],]) ).
tff(70,plain,
( ( ~ cold
| ~ foggy
| neighbor_practices_flute )
<=> ( ~ cold
| ~ foggy
| neighbor_practices_flute ) ),
inference(rewrite,[status(thm)],]) ).
tff(71,axiom,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
tff(72,plain,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[72,69]) ).
tff(74,plain,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[73,69]) ).
tff(75,plain,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[74,69]) ).
tff(76,plain,
neighbor_practices_flute,
inference(modus_ponens,[status(thm)],[75,68]) ).
tff(77,plain,
( neighbor_practices_flute
<=> $true ),
inference(modus_ponens,[status(thm)],[76,12]) ).
tff(78,plain,
( ~ neighbor_practices_flute
<=> ~ $true ),
inference(monotonicity,[status(thm)],[77]) ).
tff(79,plain,
( ~ neighbor_practices_flute
<=> $false ),
inference(transitivity,[status(thm)],[78,10]) ).
tff(80,plain,
( ( ~ door_is_open
| ~ neighbor_practices_flute )
<=> ( ~ door_is_open
| $false ) ),
inference(monotonicity,[status(thm)],[79]) ).
tff(81,plain,
( ( ~ door_is_open
| ~ neighbor_practices_flute )
<=> ~ door_is_open ),
inference(transitivity,[status(thm)],[80,9]) ).
tff(82,plain,
( ( ~ neighbor_practices_flute
| ~ door_is_open )
<=> ( ~ door_is_open
| ~ neighbor_practices_flute ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,axiom,
( ~ neighbor_practices_flute
| ~ door_is_open ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
tff(84,plain,
( ~ door_is_open
| ~ neighbor_practices_flute ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
~ door_is_open,
inference(modus_ponens,[status(thm)],[84,81]) ).
tff(86,plain,
( door_is_open
<=> $false ),
inference(modus_ponens,[status(thm)],[85,8]) ).
tff(87,plain,
( ( ~ fire_smokes
| door_is_open )
<=> ( ~ fire_smokes
| $false ) ),
inference(monotonicity,[status(thm)],[86]) ).
tff(88,plain,
( ( ~ fire_smokes
| door_is_open )
<=> ~ fire_smokes ),
inference(transitivity,[status(thm)],[87,6]) ).
tff(89,plain,
( ( ~ fire_smokes
| door_is_open )
<=> ( ~ fire_smokes
| door_is_open ) ),
inference(rewrite,[status(thm)],]) ).
tff(90,axiom,
( ~ fire_smokes
| door_is_open ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
tff(91,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[91,89]) ).
tff(93,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[92,89]) ).
tff(94,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[93,89]) ).
tff(95,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[94,89]) ).
tff(96,plain,
( ~ fire_smokes
| door_is_open ),
inference(modus_ponens,[status(thm)],[95,89]) ).
tff(97,plain,
~ fire_smokes,
inference(modus_ponens,[status(thm)],[96,88]) ).
tff(98,plain,
( fire_smokes
<=> $false ),
inference(modus_ponens,[status(thm)],[97,5]) ).
tff(99,plain,
( ( fire_smokes
| ~ wind_in_gusts )
<=> ( $false
| ~ wind_in_gusts ) ),
inference(monotonicity,[status(thm)],[98]) ).
tff(100,plain,
( ( fire_smokes
| ~ wind_in_gusts )
<=> ~ wind_in_gusts ),
inference(transitivity,[status(thm)],[99,3]) ).
tff(101,plain,
( ( $false
| fire_smokes
| ~ wind_in_gusts )
<=> ( fire_smokes
| ~ wind_in_gusts ) ),
inference(rewrite,[status(thm)],]) ).
tff(102,plain,
( ( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts )
<=> ( $false
| fire_smokes
| ~ wind_in_gusts ) ),
inference(monotonicity,[status(thm)],[19]) ).
tff(103,plain,
( ( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts )
<=> ( fire_smokes
| ~ wind_in_gusts ) ),
inference(transitivity,[status(thm)],[102,101]) ).
tff(104,plain,
( ( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts )
<=> ( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ) ),
inference(rewrite,[status(thm)],]) ).
tff(105,plain,
( ( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes )
<=> ( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ) ),
inference(rewrite,[status(thm)],]) ).
tff(106,axiom,
( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
tff(107,plain,
( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
( ~ wind_in_east
| fire_smokes
| ~ wind_in_gusts ),
inference(modus_ponens,[status(thm)],[107,104]) ).
tff(109,plain,
( fire_smokes
| ~ wind_in_gusts ),
inference(modus_ponens,[status(thm)],[108,103]) ).
tff(110,plain,
~ wind_in_gusts,
inference(modus_ponens,[status(thm)],[109,100]) ).
tff(111,plain,
( wind_in_gusts
<=> $false ),
inference(modus_ponens,[status(thm)],[110,2]) ).
tff(112,plain,
( ( wind_in_gusts
| $false )
<=> wind_in_gusts ),
inference(rewrite,[status(thm)],]) ).
tff(113,plain,
( ( fire_is_lit
<=> $true )
<=> fire_is_lit ),
inference(rewrite,[status(thm)],]) ).
tff(114,plain,
( fire_is_lit
<=> ( fire_is_lit
<=> $true ) ),
inference(symmetry,[status(thm)],[113]) ).
tff(115,plain,
( ( $false
| fire_is_lit )
<=> fire_is_lit ),
inference(rewrite,[status(thm)],]) ).
tff(116,plain,
( ( i_feel_rheumatic
<=> $true )
<=> i_feel_rheumatic ),
inference(rewrite,[status(thm)],]) ).
tff(117,plain,
( i_feel_rheumatic
<=> ( i_feel_rheumatic
<=> $true ) ),
inference(symmetry,[status(thm)],[116]) ).
tff(118,plain,
( ( $false
| i_feel_rheumatic )
<=> i_feel_rheumatic ),
inference(rewrite,[status(thm)],]) ).
tff(119,plain,
( ( foggy
<=> $true )
<=> foggy ),
inference(rewrite,[status(thm)],]) ).
tff(120,plain,
( foggy
<=> ( foggy
<=> $true ) ),
inference(symmetry,[status(thm)],[119]) ).
tff(121,plain,
( foggy
<=> $true ),
inference(modus_ponens,[status(thm)],[35,120]) ).
tff(122,plain,
( ~ foggy
<=> ~ $true ),
inference(monotonicity,[status(thm)],[121]) ).
tff(123,plain,
( ~ foggy
<=> $false ),
inference(transitivity,[status(thm)],[122,10]) ).
tff(124,plain,
( ( ~ foggy
| i_feel_rheumatic )
<=> ( $false
| i_feel_rheumatic ) ),
inference(monotonicity,[status(thm)],[123]) ).
tff(125,plain,
( ( ~ foggy
| i_feel_rheumatic )
<=> i_feel_rheumatic ),
inference(transitivity,[status(thm)],[124,118]) ).
tff(126,plain,
( ( ~ foggy
| i_feel_rheumatic )
<=> ( ~ foggy
| i_feel_rheumatic ) ),
inference(rewrite,[status(thm)],]) ).
tff(127,plain,
( ( $false
| ~ foggy
| i_feel_rheumatic )
<=> ( ~ foggy
| i_feel_rheumatic ) ),
inference(rewrite,[status(thm)],]) ).
tff(128,plain,
( ( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic )
<=> ( $false
| ~ foggy
| i_feel_rheumatic ) ),
inference(monotonicity,[status(thm)],[19]) ).
tff(129,plain,
( ( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic )
<=> ( ~ foggy
| i_feel_rheumatic ) ),
inference(transitivity,[status(thm)],[128,127]) ).
tff(130,plain,
( ( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic )
<=> ( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ) ),
inference(rewrite,[status(thm)],]) ).
tff(131,plain,
( ( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic )
<=> ( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ) ),
inference(rewrite,[status(thm)],]) ).
tff(132,axiom,
( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
tff(133,plain,
( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ),
inference(modus_ponens,[status(thm)],[132,131]) ).
tff(134,plain,
( ~ wind_in_east
| ~ foggy
| i_feel_rheumatic ),
inference(modus_ponens,[status(thm)],[133,130]) ).
tff(135,plain,
( ~ foggy
| i_feel_rheumatic ),
inference(modus_ponens,[status(thm)],[134,129]) ).
tff(136,plain,
( ~ foggy
| i_feel_rheumatic ),
inference(modus_ponens,[status(thm)],[135,126]) ).
tff(137,plain,
i_feel_rheumatic,
inference(modus_ponens,[status(thm)],[136,125]) ).
tff(138,plain,
( i_feel_rheumatic
<=> $true ),
inference(modus_ponens,[status(thm)],[137,117]) ).
tff(139,plain,
( ~ i_feel_rheumatic
<=> ~ $true ),
inference(monotonicity,[status(thm)],[138]) ).
tff(140,plain,
( ~ i_feel_rheumatic
<=> $false ),
inference(transitivity,[status(thm)],[139,10]) ).
tff(141,plain,
( ( ~ i_feel_rheumatic
| fire_is_lit )
<=> ( $false
| fire_is_lit ) ),
inference(monotonicity,[status(thm)],[140]) ).
tff(142,plain,
( ( ~ i_feel_rheumatic
| fire_is_lit )
<=> fire_is_lit ),
inference(transitivity,[status(thm)],[141,115]) ).
tff(143,plain,
( ( ~ i_feel_rheumatic
| fire_is_lit )
<=> ( ~ i_feel_rheumatic
| fire_is_lit ) ),
inference(rewrite,[status(thm)],]) ).
tff(144,plain,
( ( $false
| ~ i_feel_rheumatic
| fire_is_lit )
<=> ( ~ i_feel_rheumatic
| fire_is_lit ) ),
inference(rewrite,[status(thm)],]) ).
tff(145,plain,
( ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit )
<=> ( $false
| ~ i_feel_rheumatic
| fire_is_lit ) ),
inference(monotonicity,[status(thm)],[66]) ).
tff(146,plain,
( ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit )
<=> ( ~ i_feel_rheumatic
| fire_is_lit ) ),
inference(transitivity,[status(thm)],[145,144]) ).
tff(147,plain,
( ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit )
<=> ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ) ),
inference(rewrite,[status(thm)],]) ).
tff(148,plain,
( ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit )
<=> ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ) ),
inference(rewrite,[status(thm)],]) ).
tff(149,axiom,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
tff(150,plain,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[149,148]) ).
tff(151,plain,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[150,147]) ).
tff(152,plain,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[151,147]) ).
tff(153,plain,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[152,147]) ).
tff(154,plain,
( ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[153,146]) ).
tff(155,plain,
( ~ i_feel_rheumatic
| fire_is_lit ),
inference(modus_ponens,[status(thm)],[154,143]) ).
tff(156,plain,
fire_is_lit,
inference(modus_ponens,[status(thm)],[155,142]) ).
tff(157,plain,
( fire_is_lit
<=> $true ),
inference(modus_ponens,[status(thm)],[156,114]) ).
tff(158,plain,
( ~ fire_is_lit
<=> ~ $true ),
inference(monotonicity,[status(thm)],[157]) ).
tff(159,plain,
( ~ fire_is_lit
<=> $false ),
inference(transitivity,[status(thm)],[158,10]) ).
tff(160,plain,
( ( wind_in_gusts
| ~ fire_is_lit )
<=> ( wind_in_gusts
| $false ) ),
inference(monotonicity,[status(thm)],[159]) ).
tff(161,plain,
( ( wind_in_gusts
| ~ fire_is_lit )
<=> wind_in_gusts ),
inference(transitivity,[status(thm)],[160,112]) ).
tff(162,plain,
( ( $false
| $false
| wind_in_gusts
| ~ fire_is_lit )
<=> ( wind_in_gusts
| ~ fire_is_lit ) ),
inference(rewrite,[status(thm)],]) ).
tff(163,plain,
( ( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit )
<=> ( $false
| $false
| wind_in_gusts
| ~ fire_is_lit ) ),
inference(monotonicity,[status(thm)],[86,140]) ).
tff(164,plain,
( ( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit )
<=> ( wind_in_gusts
| ~ fire_is_lit ) ),
inference(transitivity,[status(thm)],[163,162]) ).
tff(165,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(166,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(167,plain,
( ( wind_in_gusts
| ~ fire_is_lit
| door_is_open )
<=> ( door_is_open
| wind_in_gusts
| ~ fire_is_lit ) ),
inference(rewrite,[status(thm)],]) ).
tff(168,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)],[167]) ).
tff(169,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)],[168,166]) ).
tff(170,axiom,
( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).
tff(171,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[170,169]) ).
tff(172,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[171,165]) ).
tff(173,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[172,165]) ).
tff(174,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[173,165]) ).
tff(175,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[174,165]) ).
tff(176,plain,
( door_is_open
| ~ i_feel_rheumatic
| wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[175,165]) ).
tff(177,plain,
( wind_in_gusts
| ~ fire_is_lit ),
inference(modus_ponens,[status(thm)],[176,164]) ).
tff(178,plain,
wind_in_gusts,
inference(modus_ponens,[status(thm)],[177,161]) ).
tff(179,plain,
$false,
inference(modus_ponens,[status(thm)],[178,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n023.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 Sep 2 18:44:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------