TSTP Solution File: PUZ033-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.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 : 600s
% DateTime : Mon Jul 18 18:19:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 98 ( 37 unt; 12 typ; 0 def)
% Number of atoms : 473 ( 128 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 229 ( 98 ~; 131 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 14 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cold,type,
cold: $o ).
thf(tp_door_is_open,type,
door_is_open: $o ).
thf(tp_fire_is_lit,type,
fire_is_lit: $o ).
thf(tp_fire_smokes,type,
fire_smokes: $o ).
thf(tp_foggy,type,
foggy: $o ).
thf(tp_headache,type,
headache: $o ).
thf(tp_i_feel_rheumatic,type,
i_feel_rheumatic: $o ).
thf(tp_neighbor_practices_flute,type,
neighbor_practices_flute: $o ).
thf(tp_sunshine,type,
sunshine: $o ).
thf(tp_wind_in_east,type,
wind_in_east: $o ).
thf(tp_wind_in_gusts,type,
wind_in_gusts: $o ).
thf(tp_window_is_shut,type,
window_is_shut: $o ).
thf(1,axiom,
( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
thf(2,axiom,
( ~ neighbor_practices_flute
| ~ door_is_open ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
thf(3,axiom,
( ~ sunshine
| foggy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
thf(4,axiom,
( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
thf(5,axiom,
( ~ sunshine
| cold
| ~ foggy
| window_is_shut ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
thf(6,axiom,
( ~ door_is_open
| ~ headache ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
thf(7,axiom,
( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
thf(8,axiom,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
thf(9,axiom,
( ~ fire_smokes
| door_is_open ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
thf(10,axiom,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
thf(11,axiom,
( ~ wind_in_east
| sunshine ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
thf(12,axiom,
wind_in_east,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).
thf(13,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(14,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[13]) ).
thf(15,negated_conjecture,
~ window_is_shut,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_window_is_shut) ).
thf(16,plain,
$false = $false,
inference(unfold_def,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(18,plain,
( ( ~ neighbor_practices_flute
| ~ door_is_open )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(19,plain,
( ( ~ sunshine
| foggy )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(20,plain,
( ( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(21,plain,
( ( ~ sunshine
| cold
| ~ foggy
| window_is_shut )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(22,plain,
( ( ~ door_is_open
| ~ headache )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(23,plain,
( ( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(24,plain,
( ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(25,plain,
( ( ~ fire_smokes
| door_is_open )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(26,plain,
( ( ~ cold
| ~ foggy
| neighbor_practices_flute )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(27,plain,
( ( ~ wind_in_east
| sunshine )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(28,plain,
wind_in_east = $true,
inference(unfold_def,[status(thm)],[12]) ).
thf(29,plain,
( ( ~ window_is_shut )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(30,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(31,plain,
( ( ~ window_is_shut )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(32,plain,
wind_in_east = $true,
inference(copy,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ wind_in_east
| sunshine )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(34,plain,
( ( ~ cold
| ~ foggy
| neighbor_practices_flute )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(35,plain,
( ( ~ fire_smokes
| door_is_open )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(36,plain,
( ( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(37,plain,
( ( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(38,plain,
( ( ~ door_is_open
| ~ headache )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(39,plain,
( ( ~ sunshine
| cold
| ~ foggy
| window_is_shut )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(40,plain,
( ( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(41,plain,
( ( ~ sunshine
| foggy )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(42,plain,
( ( ~ neighbor_practices_flute
| ~ door_is_open )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(43,plain,
( ( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(44,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(45,plain,
window_is_shut = $false,
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(46,plain,
( ( ( ~ wind_in_east )
= $true )
| ( sunshine = $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(47,plain,
( ( ( ~ cold )
= $true )
| ( ( ~ foggy
| neighbor_practices_flute )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(48,plain,
( ( ( ~ fire_smokes )
= $true )
| ( door_is_open = $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(49,plain,
( ( ( ~ cold )
= $true )
| ( ( ~ i_feel_rheumatic
| fire_is_lit )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(50,plain,
( ( ( ~ wind_in_east )
= $true )
| ( ( ~ wind_in_gusts
| fire_smokes )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(51,plain,
( ( ( ~ door_is_open )
= $true )
| ( ( ~ headache )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(52,plain,
( ( ( ~ sunshine )
= $true )
| ( ( cold
| ~ foggy
| window_is_shut )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(53,plain,
( ( wind_in_gusts = $true )
| ( ( ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(54,plain,
( ( ( ~ sunshine )
= $true )
| ( foggy = $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(55,plain,
( ( ( ~ neighbor_practices_flute )
= $true )
| ( ( ~ door_is_open )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(56,plain,
( ( ( ~ foggy )
= $true )
| ( ( ~ wind_in_east
| i_feel_rheumatic )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(57,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(58,plain,
( ( wind_in_east = $false )
| ( sunshine = $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(59,plain,
( ( cold = $false )
| ( ( ~ foggy
| neighbor_practices_flute )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(60,plain,
( ( fire_smokes = $false )
| ( door_is_open = $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(61,plain,
( ( cold = $false )
| ( ( ~ i_feel_rheumatic
| fire_is_lit )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(62,plain,
( ( wind_in_east = $false )
| ( ( ~ wind_in_gusts
| fire_smokes )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(63,plain,
( ( door_is_open = $false )
| ( ( ~ headache )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(64,plain,
( ( sunshine = $false )
| ( ( cold
| ~ foggy
| window_is_shut )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(65,plain,
( ( ( ~ fire_is_lit )
= $true )
| ( ( door_is_open
| ~ i_feel_rheumatic )
= $true )
| ( wind_in_gusts = $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(66,plain,
( ( sunshine = $false )
| ( foggy = $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(67,plain,
( ( neighbor_practices_flute = $false )
| ( ( ~ door_is_open )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(68,plain,
( ( foggy = $false )
| ( ( ~ wind_in_east
| i_feel_rheumatic )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(69,plain,
( ( ( ~ foggy )
= $true )
| ( neighbor_practices_flute = $true )
| ( cold = $false ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(70,plain,
( ( ( ~ i_feel_rheumatic )
= $true )
| ( fire_is_lit = $true )
| ( cold = $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(71,plain,
( ( ( ~ wind_in_gusts )
= $true )
| ( fire_smokes = $true )
| ( wind_in_east = $false ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(72,plain,
( ( headache = $false )
| ( door_is_open = $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(73,plain,
( ( cold = $true )
| ( ( ~ foggy
| window_is_shut )
= $true )
| ( sunshine = $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(74,plain,
( ( fire_is_lit = $false )
| ( ( door_is_open
| ~ i_feel_rheumatic )
= $true )
| ( wind_in_gusts = $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(75,plain,
( ( door_is_open = $false )
| ( neighbor_practices_flute = $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(76,plain,
( ( ( ~ wind_in_east )
= $true )
| ( i_feel_rheumatic = $true )
| ( foggy = $false ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(77,plain,
( ( foggy = $false )
| ( neighbor_practices_flute = $true )
| ( cold = $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(78,plain,
( ( i_feel_rheumatic = $false )
| ( fire_is_lit = $true )
| ( cold = $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(79,plain,
( ( wind_in_gusts = $false )
| ( fire_smokes = $true )
| ( wind_in_east = $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(80,plain,
( ( ( ~ foggy )
= $true )
| ( window_is_shut = $true )
| ( cold = $true )
| ( sunshine = $false ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(81,plain,
( ( door_is_open = $true )
| ( ( ~ i_feel_rheumatic )
= $true )
| ( fire_is_lit = $false )
| ( wind_in_gusts = $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(82,plain,
( ( wind_in_east = $false )
| ( i_feel_rheumatic = $true )
| ( foggy = $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(83,plain,
( ( foggy = $false )
| ( window_is_shut = $true )
| ( cold = $true )
| ( sunshine = $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(84,plain,
( ( i_feel_rheumatic = $false )
| ( door_is_open = $true )
| ( fire_is_lit = $false )
| ( wind_in_gusts = $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(85,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,84,83,82,79,78,77,75,72,66,60,58,57,45]) ).
thf(86,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n029.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 : 600
% 0.12/0.34 % DateTime : Sun May 29 00:02:58 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.34
% 0.19/0.34 No.of.Axioms: 13
% 0.19/0.34
% 0.19/0.34 Length.of.Defs: 0
% 0.19/0.34
% 0.19/0.34 Contains.Choice.Funs: false
% 0.19/0.35 (rf:0,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:15,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.19/0.37
% 0.19/0.37 ********************************
% 0.19/0.37 * All subproblems solved! *
% 0.19/0.37 ********************************
% 0.19/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:85,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.37
% 0.19/0.37 %**** Beginning of derivation protocol ****
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
% 0.19/0.37
% 0.19/0.37 %**** End of derivation protocol ****
% 0.19/0.37 %**** no. of clauses in derivation: 86 ****
% 0.19/0.37 %**** clause counter: 85 ****
% 0.19/0.37
% 0.19/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:85,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------