TSTP Solution File: PUZ047+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.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 18:19:31 EDT 2022
% Result : Theorem 0.38s 0.57s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 109 ( 72 unt; 8 typ; 0 def)
% Number of atoms : 530 ( 127 equ; 0 cnn)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 1739 ( 64 ~; 74 |; 42 &;1500 @)
% ( 0 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-5 aty)
% Number of variables : 183 ( 0 ^ 178 !; 5 ?; 183 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_go_alone,type,
go_alone: $i > $i ).
thf(tp_north,type,
north: $i ).
thf(tp_p,type,
p: $i > $i > $i > $i > $i > $o ).
thf(tp_south,type,
south: $i ).
thf(tp_start,type,
start: $i ).
thf(tp_take_cabbage,type,
take_cabbage: $i > $i ).
thf(tp_take_goat,type,
take_goat: $i > $i ).
thf(tp_take_wolf,type,
take_wolf: $i > $i ).
thf(1,conjecture,
( ( ( p @ south @ south @ south @ south @ start )
& ! [T: $i] :
( ( p @ south @ north @ south @ north @ T )
=> ( p @ north @ north @ south @ north @ ( go_alone @ T ) ) )
& ! [T1: $i] :
( ( p @ north @ north @ south @ north @ T1 )
=> ( p @ south @ north @ south @ north @ ( go_alone @ T1 ) ) )
& ! [T2: $i] :
( ( p @ south @ south @ north @ south @ T2 )
=> ( p @ north @ south @ north @ south @ ( go_alone @ T2 ) ) )
& ! [T3: $i] :
( ( p @ north @ south @ north @ south @ T3 )
=> ( p @ south @ south @ north @ south @ ( go_alone @ T3 ) ) )
& ! [T4: $i] :
( ( p @ south @ south @ south @ north @ T4 )
=> ( p @ north @ north @ south @ north @ ( take_wolf @ T4 ) ) )
& ! [T5: $i] :
( ( p @ north @ north @ south @ north @ T5 )
=> ( p @ south @ south @ south @ north @ ( take_wolf @ T5 ) ) )
& ! [T6: $i] :
( ( p @ south @ south @ north @ south @ T6 )
=> ( p @ north @ north @ north @ south @ ( take_wolf @ T6 ) ) )
& ! [T7: $i] :
( ( p @ north @ north @ north @ south @ T7 )
=> ( p @ south @ south @ north @ south @ ( take_wolf @ T7 ) ) )
& ! [X: $i,Y: $i,U: $i] :
( ( p @ south @ X @ south @ Y @ U )
=> ( p @ north @ X @ north @ Y @ ( take_goat @ U ) ) )
& ! [X1: $i,Y1: $i,V: $i] :
( ( p @ north @ X1 @ north @ Y1 @ V )
=> ( p @ south @ X1 @ south @ Y1 @ ( take_goat @ V ) ) )
& ! [T8: $i] :
( ( p @ south @ north @ south @ south @ T8 )
=> ( p @ north @ north @ south @ north @ ( take_cabbage @ T8 ) ) )
& ! [T9: $i] :
( ( p @ north @ north @ south @ north @ T9 )
=> ( p @ south @ north @ south @ south @ ( take_cabbage @ T9 ) ) )
& ! [U1: $i] :
( ( p @ south @ south @ north @ south @ U1 )
=> ( p @ north @ south @ north @ north @ ( take_cabbage @ U1 ) ) )
& ! [V1: $i] :
( ( p @ north @ south @ north @ north @ V1 )
=> ( p @ south @ south @ north @ south @ ( take_cabbage @ V1 ) ) ) )
=> ? [Z: $i] : ( p @ north @ north @ north @ north @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm100) ).
thf(2,negated_conjecture,
( ( ( ( p @ south @ south @ south @ south @ start )
& ! [T: $i] :
( ( p @ south @ north @ south @ north @ T )
=> ( p @ north @ north @ south @ north @ ( go_alone @ T ) ) )
& ! [T1: $i] :
( ( p @ north @ north @ south @ north @ T1 )
=> ( p @ south @ north @ south @ north @ ( go_alone @ T1 ) ) )
& ! [T2: $i] :
( ( p @ south @ south @ north @ south @ T2 )
=> ( p @ north @ south @ north @ south @ ( go_alone @ T2 ) ) )
& ! [T3: $i] :
( ( p @ north @ south @ north @ south @ T3 )
=> ( p @ south @ south @ north @ south @ ( go_alone @ T3 ) ) )
& ! [T4: $i] :
( ( p @ south @ south @ south @ north @ T4 )
=> ( p @ north @ north @ south @ north @ ( take_wolf @ T4 ) ) )
& ! [T5: $i] :
( ( p @ north @ north @ south @ north @ T5 )
=> ( p @ south @ south @ south @ north @ ( take_wolf @ T5 ) ) )
& ! [T6: $i] :
( ( p @ south @ south @ north @ south @ T6 )
=> ( p @ north @ north @ north @ south @ ( take_wolf @ T6 ) ) )
& ! [T7: $i] :
( ( p @ north @ north @ north @ south @ T7 )
=> ( p @ south @ south @ north @ south @ ( take_wolf @ T7 ) ) )
& ! [X: $i,Y: $i,U: $i] :
( ( p @ south @ X @ south @ Y @ U )
=> ( p @ north @ X @ north @ Y @ ( take_goat @ U ) ) )
& ! [X1: $i,Y1: $i,V: $i] :
( ( p @ north @ X1 @ north @ Y1 @ V )
=> ( p @ south @ X1 @ south @ Y1 @ ( take_goat @ V ) ) )
& ! [T8: $i] :
( ( p @ south @ north @ south @ south @ T8 )
=> ( p @ north @ north @ south @ north @ ( take_cabbage @ T8 ) ) )
& ! [T9: $i] :
( ( p @ north @ north @ south @ north @ T9 )
=> ( p @ south @ north @ south @ south @ ( take_cabbage @ T9 ) ) )
& ! [U1: $i] :
( ( p @ south @ south @ north @ south @ U1 )
=> ( p @ north @ south @ north @ north @ ( take_cabbage @ U1 ) ) )
& ! [V1: $i] :
( ( p @ north @ south @ north @ north @ V1 )
=> ( p @ south @ south @ north @ south @ ( take_cabbage @ V1 ) ) ) )
=> ? [Z: $i] : ( p @ north @ north @ north @ north @ Z ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ( p @ south @ south @ south @ south @ start )
& ! [T: $i] :
( ( p @ south @ north @ south @ north @ T )
=> ( p @ north @ north @ south @ north @ ( go_alone @ T ) ) )
& ! [T1: $i] :
( ( p @ north @ north @ south @ north @ T1 )
=> ( p @ south @ north @ south @ north @ ( go_alone @ T1 ) ) )
& ! [T2: $i] :
( ( p @ south @ south @ north @ south @ T2 )
=> ( p @ north @ south @ north @ south @ ( go_alone @ T2 ) ) )
& ! [T3: $i] :
( ( p @ north @ south @ north @ south @ T3 )
=> ( p @ south @ south @ north @ south @ ( go_alone @ T3 ) ) )
& ! [T4: $i] :
( ( p @ south @ south @ south @ north @ T4 )
=> ( p @ north @ north @ south @ north @ ( take_wolf @ T4 ) ) )
& ! [T5: $i] :
( ( p @ north @ north @ south @ north @ T5 )
=> ( p @ south @ south @ south @ north @ ( take_wolf @ T5 ) ) )
& ! [T6: $i] :
( ( p @ south @ south @ north @ south @ T6 )
=> ( p @ north @ north @ north @ south @ ( take_wolf @ T6 ) ) )
& ! [T7: $i] :
( ( p @ north @ north @ north @ south @ T7 )
=> ( p @ south @ south @ north @ south @ ( take_wolf @ T7 ) ) )
& ! [X: $i,Y: $i,U: $i] :
( ( p @ south @ X @ south @ Y @ U )
=> ( p @ north @ X @ north @ Y @ ( take_goat @ U ) ) )
& ! [X1: $i,Y1: $i,V: $i] :
( ( p @ north @ X1 @ north @ Y1 @ V )
=> ( p @ south @ X1 @ south @ Y1 @ ( take_goat @ V ) ) )
& ! [T8: $i] :
( ( p @ south @ north @ south @ south @ T8 )
=> ( p @ north @ north @ south @ north @ ( take_cabbage @ T8 ) ) )
& ! [T9: $i] :
( ( p @ north @ north @ south @ north @ T9 )
=> ( p @ south @ north @ south @ south @ ( take_cabbage @ T9 ) ) )
& ! [U1: $i] :
( ( p @ south @ south @ north @ south @ U1 )
=> ( p @ north @ south @ north @ north @ ( take_cabbage @ U1 ) ) )
& ! [V1: $i] :
( ( p @ north @ south @ north @ north @ V1 )
=> ( p @ south @ south @ north @ south @ ( take_cabbage @ V1 ) ) ) )
=> ? [Z: $i] : ( p @ north @ north @ north @ north @ Z ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( p @ south @ south @ south @ south @ start )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [T: $i] :
( ( p @ south @ north @ south @ north @ T )
=> ( p @ north @ north @ south @ north @ ( go_alone @ T ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [T1: $i] :
( ( p @ north @ north @ south @ north @ T1 )
=> ( p @ south @ north @ south @ north @ ( go_alone @ T1 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [T2: $i] :
( ( p @ south @ south @ north @ south @ T2 )
=> ( p @ north @ south @ north @ south @ ( go_alone @ T2 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [T3: $i] :
( ( p @ north @ south @ north @ south @ T3 )
=> ( p @ south @ south @ north @ south @ ( go_alone @ T3 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ! [T4: $i] :
( ( p @ south @ south @ south @ north @ T4 )
=> ( p @ north @ north @ south @ north @ ( take_wolf @ T4 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [T5: $i] :
( ( p @ north @ north @ south @ north @ T5 )
=> ( p @ south @ south @ south @ north @ ( take_wolf @ T5 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ! [T6: $i] :
( ( p @ south @ south @ north @ south @ T6 )
=> ( p @ north @ north @ north @ south @ ( take_wolf @ T6 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [T7: $i] :
( ( p @ north @ north @ north @ south @ T7 )
=> ( p @ south @ south @ north @ south @ ( take_wolf @ T7 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [X: $i,Y: $i,U: $i] :
( ( p @ south @ X @ south @ Y @ U )
=> ( p @ north @ X @ north @ Y @ ( take_goat @ U ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [X1: $i,Y1: $i,V: $i] :
( ( p @ north @ X1 @ north @ Y1 @ V )
=> ( p @ south @ X1 @ south @ Y1 @ ( take_goat @ V ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [T8: $i] :
( ( p @ south @ north @ south @ south @ T8 )
=> ( p @ north @ north @ south @ north @ ( take_cabbage @ T8 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [T9: $i] :
( ( p @ north @ north @ south @ north @ T9 )
=> ( p @ south @ north @ south @ south @ ( take_cabbage @ T9 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [U1: $i] :
( ( p @ south @ south @ north @ south @ U1 )
=> ( p @ north @ south @ north @ north @ ( take_cabbage @ U1 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [V1: $i] :
( ( p @ north @ south @ north @ north @ V1 )
=> ( p @ south @ south @ north @ south @ ( take_cabbage @ V1 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(19,plain,
( ( ? [Z: $i] : ( p @ north @ north @ north @ north @ Z ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(20,plain,
( ( ~ ? [Z: $i] : ( p @ north @ north @ north @ north @ Z ) )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(21,plain,
( ( ! [Z: $i] :
~ ( p @ north @ north @ north @ north @ Z ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(22,plain,
( ( ! [T: $i] :
( ~ ( p @ south @ north @ south @ north @ T )
| ( p @ north @ north @ south @ north @ ( go_alone @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(23,plain,
( ( ! [T1: $i] :
( ~ ( p @ north @ north @ south @ north @ T1 )
| ( p @ south @ north @ south @ north @ ( go_alone @ T1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(24,plain,
( ( ! [T2: $i] :
( ~ ( p @ south @ south @ north @ south @ T2 )
| ( p @ north @ south @ north @ south @ ( go_alone @ T2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(25,plain,
( ( ! [T3: $i] :
( ~ ( p @ north @ south @ north @ south @ T3 )
| ( p @ south @ south @ north @ south @ ( go_alone @ T3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(26,plain,
( ( ! [T4: $i] :
( ~ ( p @ south @ south @ south @ north @ T4 )
| ( p @ north @ north @ south @ north @ ( take_wolf @ T4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(27,plain,
( ( ! [T5: $i] :
( ~ ( p @ north @ north @ south @ north @ T5 )
| ( p @ south @ south @ south @ north @ ( take_wolf @ T5 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(28,plain,
( ( ! [T6: $i] :
( ~ ( p @ south @ south @ north @ south @ T6 )
| ( p @ north @ north @ north @ south @ ( take_wolf @ T6 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(29,plain,
( ( ! [T7: $i] :
( ~ ( p @ north @ north @ north @ south @ T7 )
| ( p @ south @ south @ north @ south @ ( take_wolf @ T7 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i,U: $i] :
( ~ ( p @ south @ X @ south @ Y @ U )
| ( p @ north @ X @ north @ Y @ ( take_goat @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(31,plain,
( ( ! [X1: $i,Y1: $i,V: $i] :
( ~ ( p @ north @ X1 @ north @ Y1 @ V )
| ( p @ south @ X1 @ south @ Y1 @ ( take_goat @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(32,plain,
( ( ! [T8: $i] :
( ~ ( p @ south @ north @ south @ south @ T8 )
| ( p @ north @ north @ south @ north @ ( take_cabbage @ T8 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(33,plain,
( ( ! [T9: $i] :
( ~ ( p @ north @ north @ south @ north @ T9 )
| ( p @ south @ north @ south @ south @ ( take_cabbage @ T9 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(34,plain,
( ( ! [U1: $i] :
( ~ ( p @ south @ south @ north @ south @ U1 )
| ( p @ north @ south @ north @ north @ ( take_cabbage @ U1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(35,plain,
( ( ! [V1: $i] :
( ~ ( p @ north @ south @ north @ north @ V1 )
| ( p @ south @ south @ north @ south @ ( take_cabbage @ V1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(36,plain,
( ( ! [V1: $i] :
( ~ ( p @ north @ south @ north @ north @ V1 )
| ( p @ south @ south @ north @ south @ ( take_cabbage @ V1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(37,plain,
( ( ! [U1: $i] :
( ~ ( p @ south @ south @ north @ south @ U1 )
| ( p @ north @ south @ north @ north @ ( take_cabbage @ U1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(38,plain,
( ( ! [T9: $i] :
( ~ ( p @ north @ north @ south @ north @ T9 )
| ( p @ south @ north @ south @ south @ ( take_cabbage @ T9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(39,plain,
( ( ! [T8: $i] :
( ~ ( p @ south @ north @ south @ south @ T8 )
| ( p @ north @ north @ south @ north @ ( take_cabbage @ T8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(40,plain,
( ( ! [X1: $i,Y1: $i,V: $i] :
( ~ ( p @ north @ X1 @ north @ Y1 @ V )
| ( p @ south @ X1 @ south @ Y1 @ ( take_goat @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i,U: $i] :
( ~ ( p @ south @ X @ south @ Y @ U )
| ( p @ north @ X @ north @ Y @ ( take_goat @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(42,plain,
( ( ! [T7: $i] :
( ~ ( p @ north @ north @ north @ south @ T7 )
| ( p @ south @ south @ north @ south @ ( take_wolf @ T7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(43,plain,
( ( ! [T6: $i] :
( ~ ( p @ south @ south @ north @ south @ T6 )
| ( p @ north @ north @ north @ south @ ( take_wolf @ T6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(44,plain,
( ( ! [T5: $i] :
( ~ ( p @ north @ north @ south @ north @ T5 )
| ( p @ south @ south @ south @ north @ ( take_wolf @ T5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(45,plain,
( ( ! [T4: $i] :
( ~ ( p @ south @ south @ south @ north @ T4 )
| ( p @ north @ north @ south @ north @ ( take_wolf @ T4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(46,plain,
( ( ! [T3: $i] :
( ~ ( p @ north @ south @ north @ south @ T3 )
| ( p @ south @ south @ north @ south @ ( go_alone @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(47,plain,
( ( ! [T2: $i] :
( ~ ( p @ south @ south @ north @ south @ T2 )
| ( p @ north @ south @ north @ south @ ( go_alone @ T2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(48,plain,
( ( ! [T1: $i] :
( ~ ( p @ north @ north @ south @ north @ T1 )
| ( p @ south @ north @ south @ north @ ( go_alone @ T1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(49,plain,
( ( ! [T: $i] :
( ~ ( p @ south @ north @ south @ north @ T )
| ( p @ north @ north @ south @ north @ ( go_alone @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(50,plain,
( ( p @ south @ south @ south @ south @ start )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(51,plain,
( ( ! [Z: $i] :
~ ( p @ north @ north @ north @ north @ Z ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(52,plain,
! [SV1: $i] :
( ( ~ ( p @ north @ south @ north @ north @ SV1 )
| ( p @ south @ south @ north @ south @ ( take_cabbage @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(53,plain,
! [SV2: $i] :
( ( ~ ( p @ south @ south @ north @ south @ SV2 )
| ( p @ north @ south @ north @ north @ ( take_cabbage @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(54,plain,
! [SV3: $i] :
( ( ~ ( p @ north @ north @ south @ north @ SV3 )
| ( p @ south @ north @ south @ south @ ( take_cabbage @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(55,plain,
! [SV4: $i] :
( ( ~ ( p @ south @ north @ south @ south @ SV4 )
| ( p @ north @ north @ south @ north @ ( take_cabbage @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(56,plain,
! [SV5: $i] :
( ( ! [SY19: $i,SY20: $i] :
( ~ ( p @ north @ SV5 @ north @ SY19 @ SY20 )
| ( p @ south @ SV5 @ south @ SY19 @ ( take_goat @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(57,plain,
! [SV6: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ~ ( p @ south @ SV6 @ south @ SY21 @ SY22 )
| ( p @ north @ SV6 @ north @ SY21 @ ( take_goat @ SY22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(58,plain,
! [SV7: $i] :
( ( ~ ( p @ north @ north @ north @ south @ SV7 )
| ( p @ south @ south @ north @ south @ ( take_wolf @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(59,plain,
! [SV8: $i] :
( ( ~ ( p @ south @ south @ north @ south @ SV8 )
| ( p @ north @ north @ north @ south @ ( take_wolf @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(60,plain,
! [SV9: $i] :
( ( ~ ( p @ north @ north @ south @ north @ SV9 )
| ( p @ south @ south @ south @ north @ ( take_wolf @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(61,plain,
! [SV10: $i] :
( ( ~ ( p @ south @ south @ south @ north @ SV10 )
| ( p @ north @ north @ south @ north @ ( take_wolf @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(62,plain,
! [SV11: $i] :
( ( ~ ( p @ north @ south @ north @ south @ SV11 )
| ( p @ south @ south @ north @ south @ ( go_alone @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(63,plain,
! [SV12: $i] :
( ( ~ ( p @ south @ south @ north @ south @ SV12 )
| ( p @ north @ south @ north @ south @ ( go_alone @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(64,plain,
! [SV13: $i] :
( ( ~ ( p @ north @ north @ south @ north @ SV13 )
| ( p @ south @ north @ south @ north @ ( go_alone @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(65,plain,
! [SV14: $i] :
( ( ~ ( p @ south @ north @ south @ north @ SV14 )
| ( p @ north @ north @ south @ north @ ( go_alone @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(66,plain,
! [SV15: $i] :
( ( ~ ( p @ north @ north @ north @ north @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(67,plain,
! [SV1: $i] :
( ( ( ~ ( p @ north @ south @ north @ north @ SV1 ) )
= $true )
| ( ( p @ south @ south @ north @ south @ ( take_cabbage @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(68,plain,
! [SV2: $i] :
( ( ( ~ ( p @ south @ south @ north @ south @ SV2 ) )
= $true )
| ( ( p @ north @ south @ north @ north @ ( take_cabbage @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(69,plain,
! [SV3: $i] :
( ( ( ~ ( p @ north @ north @ south @ north @ SV3 ) )
= $true )
| ( ( p @ south @ north @ south @ south @ ( take_cabbage @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(70,plain,
! [SV4: $i] :
( ( ( ~ ( p @ south @ north @ south @ south @ SV4 ) )
= $true )
| ( ( p @ north @ north @ south @ north @ ( take_cabbage @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(71,plain,
! [SV16: $i,SV5: $i] :
( ( ! [SY23: $i] :
( ~ ( p @ north @ SV5 @ north @ SV16 @ SY23 )
| ( p @ south @ SV5 @ south @ SV16 @ ( take_goat @ SY23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(72,plain,
! [SV17: $i,SV6: $i] :
( ( ! [SY24: $i] :
( ~ ( p @ south @ SV6 @ south @ SV17 @ SY24 )
| ( p @ north @ SV6 @ north @ SV17 @ ( take_goat @ SY24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(73,plain,
! [SV7: $i] :
( ( ( ~ ( p @ north @ north @ north @ south @ SV7 ) )
= $true )
| ( ( p @ south @ south @ north @ south @ ( take_wolf @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(74,plain,
! [SV8: $i] :
( ( ( ~ ( p @ south @ south @ north @ south @ SV8 ) )
= $true )
| ( ( p @ north @ north @ north @ south @ ( take_wolf @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(75,plain,
! [SV9: $i] :
( ( ( ~ ( p @ north @ north @ south @ north @ SV9 ) )
= $true )
| ( ( p @ south @ south @ south @ north @ ( take_wolf @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(76,plain,
! [SV10: $i] :
( ( ( ~ ( p @ south @ south @ south @ north @ SV10 ) )
= $true )
| ( ( p @ north @ north @ south @ north @ ( take_wolf @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(77,plain,
! [SV11: $i] :
( ( ( ~ ( p @ north @ south @ north @ south @ SV11 ) )
= $true )
| ( ( p @ south @ south @ north @ south @ ( go_alone @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(78,plain,
! [SV12: $i] :
( ( ( ~ ( p @ south @ south @ north @ south @ SV12 ) )
= $true )
| ( ( p @ north @ south @ north @ south @ ( go_alone @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(79,plain,
! [SV13: $i] :
( ( ( ~ ( p @ north @ north @ south @ north @ SV13 ) )
= $true )
| ( ( p @ south @ north @ south @ north @ ( go_alone @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(80,plain,
! [SV14: $i] :
( ( ( ~ ( p @ south @ north @ south @ north @ SV14 ) )
= $true )
| ( ( p @ north @ north @ south @ north @ ( go_alone @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(81,plain,
! [SV15: $i] :
( ( p @ north @ north @ north @ north @ SV15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(82,plain,
! [SV1: $i] :
( ( ( p @ north @ south @ north @ north @ SV1 )
= $false )
| ( ( p @ south @ south @ north @ south @ ( take_cabbage @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(83,plain,
! [SV2: $i] :
( ( ( p @ south @ south @ north @ south @ SV2 )
= $false )
| ( ( p @ north @ south @ north @ north @ ( take_cabbage @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(84,plain,
! [SV3: $i] :
( ( ( p @ north @ north @ south @ north @ SV3 )
= $false )
| ( ( p @ south @ north @ south @ south @ ( take_cabbage @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(85,plain,
! [SV4: $i] :
( ( ( p @ south @ north @ south @ south @ SV4 )
= $false )
| ( ( p @ north @ north @ south @ north @ ( take_cabbage @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(86,plain,
! [SV18: $i,SV16: $i,SV5: $i] :
( ( ~ ( p @ north @ SV5 @ north @ SV16 @ SV18 )
| ( p @ south @ SV5 @ south @ SV16 @ ( take_goat @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV19: $i,SV17: $i,SV6: $i] :
( ( ~ ( p @ south @ SV6 @ south @ SV17 @ SV19 )
| ( p @ north @ SV6 @ north @ SV17 @ ( take_goat @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(88,plain,
! [SV7: $i] :
( ( ( p @ north @ north @ north @ south @ SV7 )
= $false )
| ( ( p @ south @ south @ north @ south @ ( take_wolf @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(89,plain,
! [SV8: $i] :
( ( ( p @ south @ south @ north @ south @ SV8 )
= $false )
| ( ( p @ north @ north @ north @ south @ ( take_wolf @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(90,plain,
! [SV9: $i] :
( ( ( p @ north @ north @ south @ north @ SV9 )
= $false )
| ( ( p @ south @ south @ south @ north @ ( take_wolf @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(91,plain,
! [SV10: $i] :
( ( ( p @ south @ south @ south @ north @ SV10 )
= $false )
| ( ( p @ north @ north @ south @ north @ ( take_wolf @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(92,plain,
! [SV11: $i] :
( ( ( p @ north @ south @ north @ south @ SV11 )
= $false )
| ( ( p @ south @ south @ north @ south @ ( go_alone @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(93,plain,
! [SV12: $i] :
( ( ( p @ south @ south @ north @ south @ SV12 )
= $false )
| ( ( p @ north @ south @ north @ south @ ( go_alone @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(94,plain,
! [SV13: $i] :
( ( ( p @ north @ north @ south @ north @ SV13 )
= $false )
| ( ( p @ south @ north @ south @ north @ ( go_alone @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(95,plain,
! [SV14: $i] :
( ( ( p @ south @ north @ south @ north @ SV14 )
= $false )
| ( ( p @ north @ north @ south @ north @ ( go_alone @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(96,plain,
! [SV18: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( p @ north @ SV5 @ north @ SV16 @ SV18 ) )
= $true )
| ( ( p @ south @ SV5 @ south @ SV16 @ ( take_goat @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV19: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( p @ south @ SV6 @ south @ SV17 @ SV19 ) )
= $true )
| ( ( p @ north @ SV6 @ north @ SV17 @ ( take_goat @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV18: $i,SV16: $i,SV5: $i] :
( ( ( p @ north @ SV5 @ north @ SV16 @ SV18 )
= $false )
| ( ( p @ south @ SV5 @ south @ SV16 @ ( take_goat @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(99,plain,
! [SV19: $i,SV17: $i,SV6: $i] :
( ( ( p @ south @ SV6 @ south @ SV17 @ SV19 )
= $false )
| ( ( p @ north @ SV6 @ north @ SV17 @ ( take_goat @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(100,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[50,99,98,95,94,93,92,91,90,89,88,85,84,83,82,81]) ).
thf(101,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n026.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 01:25:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.39
% 0.19/0.39 No.of.Axioms: 0
% 0.19/0.39
% 0.19/0.39 Length.of.Defs: 0
% 0.19/0.39
% 0.19/0.39 Contains.Choice.Funs: false
% 0.19/0.44 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.38/0.57
% 0.38/0.57 ********************************
% 0.38/0.57 * All subproblems solved! *
% 0.38/0.57 ********************************
% 0.38/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:15,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:100,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.38/0.57
% 0.38/0.57 %**** Beginning of derivation protocol ****
% 0.38/0.57 % SZS output start CNFRefutation
% See solution above
% 0.38/0.57
% 0.38/0.57 %**** End of derivation protocol ****
% 0.38/0.57 %**** no. of clauses in derivation: 101 ****
% 0.38/0.57 %**** clause counter: 100 ****
% 0.38/0.57
% 0.38/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:15,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:100,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------