TSTP Solution File: PUZ129+2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.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 18:19:39 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 152 ( 61 unt; 18 typ; 0 def)
% Number of atoms : 1066 ( 405 equ; 0 cnn)
% Maximal formula atoms : 36 ( 7 avg)
% Number of connectives : 1644 ( 305 ~; 259 |; 105 &; 931 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 218 ( 0 ^ 177 !; 41 ?; 218 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cyclist,type,
cyclist: $i > $o ).
thf(tp_dishonest,type,
dishonest: $i ).
thf(tp_grocer,type,
grocer: $i > $o ).
thf(tp_healthy,type,
healthy: $i ).
thf(tp_honest,type,
honest: $i ).
thf(tp_industrious,type,
industrious: $i ).
thf(tp_person,type,
person: $i > $o ).
thf(tp_pos,type,
pos: $i ).
thf(tp_property1,type,
property1: $i > $i > $i > $o ).
thf(tp_sK1_S,type,
sK1_S: $i ).
thf(tp_sK2_SY20,type,
sK2_SY20: $i ).
thf(tp_sK3_B,type,
sK3_B: $i > $i ).
thf(tp_sK4_F,type,
sK4_F: $i > $i ).
thf(tp_sK5_H,type,
sK5_H: $i > $i ).
thf(tp_sK6_J,type,
sK6_J: $i > $i ).
thf(tp_sK7_P,type,
sK7_P: $i > $i ).
thf(tp_sK8_R,type,
sK8_R: $i > $i ).
thf(tp_unhealthy,type,
unhealthy: $i ).
thf(1,conjecture,
( ( ! [A: $i] :
( ( ( person @ A )
& ( property1 @ A @ honest @ pos )
& ( property1 @ A @ industrious @ pos ) )
=> ? [B: $i] :
( ( property1 @ B @ healthy @ pos )
& ( A = B ) ) )
& ! [C: $i] :
( ( grocer @ C )
=> ~ ? [D: $i] :
( ( property1 @ D @ healthy @ pos )
& ( C = D ) ) )
& ! [E: $i] :
( ( ( grocer @ E )
& ( property1 @ E @ industrious @ pos ) )
=> ? [F: $i] :
( ( property1 @ F @ honest @ pos )
& ( E = F ) ) )
& ! [G: $i] :
( ( cyclist @ G )
=> ? [H: $i] :
( ( property1 @ H @ industrious @ pos )
& ( G = H ) ) )
& ! [I: $i] :
( ( ( cyclist @ I )
& ( property1 @ I @ unhealthy @ pos ) )
=> ? [J: $i] :
( ( property1 @ J @ dishonest @ pos )
& ( I = J ) ) )
& ! [K: $i] :
( ( ( person @ K )
& ( property1 @ K @ healthy @ pos ) )
=> ~ ? [L: $i] :
( ( property1 @ L @ unhealthy @ pos )
& ( K = L ) ) )
& ! [M: $i] :
( ( ( person @ M )
& ( property1 @ M @ honest @ pos ) )
=> ~ ? [N: $i] :
( ( property1 @ N @ dishonest @ pos )
& ( M = N ) ) )
& ! [O: $i] :
( ( grocer @ O )
=> ? [P: $i] :
( ( person @ P )
& ( O = P ) ) )
& ! [Q: $i] :
( ( cyclist @ Q )
=> ? [R: $i] :
( ( person @ R )
& ( Q = R ) ) ) )
=> ! [S: $i] :
( ( grocer @ S )
=> ~ ? [T: $i] :
( ( cyclist @ T )
& ( S = T ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
thf(2,negated_conjecture,
( ( ( ! [A: $i] :
( ( ( person @ A )
& ( property1 @ A @ honest @ pos )
& ( property1 @ A @ industrious @ pos ) )
=> ? [B: $i] :
( ( property1 @ B @ healthy @ pos )
& ( A = B ) ) )
& ! [C: $i] :
( ( grocer @ C )
=> ~ ? [D: $i] :
( ( property1 @ D @ healthy @ pos )
& ( C = D ) ) )
& ! [E: $i] :
( ( ( grocer @ E )
& ( property1 @ E @ industrious @ pos ) )
=> ? [F: $i] :
( ( property1 @ F @ honest @ pos )
& ( E = F ) ) )
& ! [G: $i] :
( ( cyclist @ G )
=> ? [H: $i] :
( ( property1 @ H @ industrious @ pos )
& ( G = H ) ) )
& ! [I: $i] :
( ( ( cyclist @ I )
& ( property1 @ I @ unhealthy @ pos ) )
=> ? [J: $i] :
( ( property1 @ J @ dishonest @ pos )
& ( I = J ) ) )
& ! [K: $i] :
( ( ( person @ K )
& ( property1 @ K @ healthy @ pos ) )
=> ~ ? [L: $i] :
( ( property1 @ L @ unhealthy @ pos )
& ( K = L ) ) )
& ! [M: $i] :
( ( ( person @ M )
& ( property1 @ M @ honest @ pos ) )
=> ~ ? [N: $i] :
( ( property1 @ N @ dishonest @ pos )
& ( M = N ) ) )
& ! [O: $i] :
( ( grocer @ O )
=> ? [P: $i] :
( ( person @ P )
& ( O = P ) ) )
& ! [Q: $i] :
( ( cyclist @ Q )
=> ? [R: $i] :
( ( person @ R )
& ( Q = R ) ) ) )
=> ! [S: $i] :
( ( grocer @ S )
=> ~ ? [T: $i] :
( ( cyclist @ T )
& ( S = T ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [A: $i] :
( ( ( person @ A )
& ( property1 @ A @ honest @ pos )
& ( property1 @ A @ industrious @ pos ) )
=> ? [B: $i] :
( ( property1 @ B @ healthy @ pos )
& ( A = B ) ) )
& ! [C: $i] :
( ( grocer @ C )
=> ~ ? [D: $i] :
( ( property1 @ D @ healthy @ pos )
& ( C = D ) ) )
& ! [E: $i] :
( ( ( grocer @ E )
& ( property1 @ E @ industrious @ pos ) )
=> ? [F: $i] :
( ( property1 @ F @ honest @ pos )
& ( E = F ) ) )
& ! [G: $i] :
( ( cyclist @ G )
=> ? [H: $i] :
( ( property1 @ H @ industrious @ pos )
& ( G = H ) ) )
& ! [I: $i] :
( ( ( cyclist @ I )
& ( property1 @ I @ unhealthy @ pos ) )
=> ? [J: $i] :
( ( property1 @ J @ dishonest @ pos )
& ( I = J ) ) )
& ! [K: $i] :
( ( ( person @ K )
& ( property1 @ K @ healthy @ pos ) )
=> ~ ? [L: $i] :
( ( property1 @ L @ unhealthy @ pos )
& ( K = L ) ) )
& ! [M: $i] :
( ( ( person @ M )
& ( property1 @ M @ honest @ pos ) )
=> ~ ? [N: $i] :
( ( property1 @ N @ dishonest @ pos )
& ( M = N ) ) )
& ! [O: $i] :
( ( grocer @ O )
=> ? [P: $i] :
( ( person @ P )
& ( O = P ) ) )
& ! [Q: $i] :
( ( cyclist @ Q )
=> ? [R: $i] :
( ( person @ R )
& ( Q = R ) ) ) )
=> ! [S: $i] :
( ( grocer @ S )
=> ~ ? [T: $i] :
( ( cyclist @ T )
& ( S = T ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [A: $i] :
( ( ( person @ A )
& ( property1 @ A @ honest @ pos )
& ( property1 @ A @ industrious @ pos ) )
=> ? [B: $i] :
( ( property1 @ B @ healthy @ pos )
& ( A = B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [C: $i] :
( ( grocer @ C )
=> ~ ? [D: $i] :
( ( property1 @ D @ healthy @ pos )
& ( C = D ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [E: $i] :
( ( ( grocer @ E )
& ( property1 @ E @ industrious @ pos ) )
=> ? [F: $i] :
( ( property1 @ F @ honest @ pos )
& ( E = F ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [G: $i] :
( ( cyclist @ G )
=> ? [H: $i] :
( ( property1 @ H @ industrious @ pos )
& ( G = H ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [I: $i] :
( ( ( cyclist @ I )
& ( property1 @ I @ unhealthy @ pos ) )
=> ? [J: $i] :
( ( property1 @ J @ dishonest @ pos )
& ( I = J ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ! [K: $i] :
( ( ( person @ K )
& ( property1 @ K @ healthy @ pos ) )
=> ~ ? [L: $i] :
( ( property1 @ L @ unhealthy @ pos )
& ( K = L ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [M: $i] :
( ( ( person @ M )
& ( property1 @ M @ honest @ pos ) )
=> ~ ? [N: $i] :
( ( property1 @ N @ dishonest @ pos )
& ( M = N ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ! [O: $i] :
( ( grocer @ O )
=> ? [P: $i] :
( ( person @ P )
& ( O = P ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [Q: $i] :
( ( cyclist @ Q )
=> ? [R: $i] :
( ( person @ R )
& ( Q = R ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [S: $i] :
( ( grocer @ S )
=> ~ ? [T: $i] :
( ( cyclist @ T )
& ( S = T ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(14,plain,
( ( ~ ! [S: $i] :
( ( grocer @ S )
=> ~ ? [T: $i] :
( ( cyclist @ T )
& ( S = T ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(15,plain,
( ( ( grocer @ sK1_S )
& ( sK1_S = sK2_SY20 )
& ( cyclist @ sK2_SY20 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(16,plain,
( ( ! [A: $i] :
( ~ ( person @ A )
| ~ ( property1 @ A @ honest @ pos )
| ~ ( property1 @ A @ industrious @ pos )
| ( ( A
= ( sK3_B @ A ) )
& ( property1 @ ( sK3_B @ A ) @ healthy @ pos ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(17,plain,
( ( ! [C: $i] :
( ~ ( grocer @ C )
| ! [D: $i] :
( ( C != D )
| ~ ( property1 @ D @ healthy @ pos ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(18,plain,
( ( ! [E: $i] :
( ~ ( grocer @ E )
| ~ ( property1 @ E @ industrious @ pos )
| ( ( E
= ( sK4_F @ E ) )
& ( property1 @ ( sK4_F @ E ) @ honest @ pos ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(19,plain,
( ( ! [G: $i] :
( ~ ( cyclist @ G )
| ( ( G
= ( sK5_H @ G ) )
& ( property1 @ ( sK5_H @ G ) @ industrious @ pos ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(20,plain,
( ( ! [I: $i] :
( ~ ( cyclist @ I )
| ~ ( property1 @ I @ unhealthy @ pos )
| ( ( I
= ( sK6_J @ I ) )
& ( property1 @ ( sK6_J @ I ) @ dishonest @ pos ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(21,plain,
( ( ! [K: $i] :
( ~ ( person @ K )
| ~ ( property1 @ K @ healthy @ pos )
| ! [L: $i] :
( ( K != L )
| ~ ( property1 @ L @ unhealthy @ pos ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(22,plain,
( ( ! [M: $i] :
( ~ ( person @ M )
| ~ ( property1 @ M @ honest @ pos )
| ! [N: $i] :
( ( M != N )
| ~ ( property1 @ N @ dishonest @ pos ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(23,plain,
( ( ! [O: $i] :
( ~ ( grocer @ O )
| ( ( O
= ( sK7_P @ O ) )
& ( person @ ( sK7_P @ O ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(24,plain,
( ( ! [Q: $i] :
( ~ ( cyclist @ Q )
| ( ( Q
= ( sK8_R @ Q ) )
& ( person @ ( sK8_R @ Q ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(25,plain,
( ( ! [Q: $i] :
( ~ ( cyclist @ Q )
| ( ( Q
= ( sK8_R @ Q ) )
& ( person @ ( sK8_R @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(26,plain,
( ( ! [O: $i] :
( ~ ( grocer @ O )
| ( ( O
= ( sK7_P @ O ) )
& ( person @ ( sK7_P @ O ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(27,plain,
( ( ! [M: $i] :
( ~ ( person @ M )
| ~ ( property1 @ M @ honest @ pos )
| ! [N: $i] :
( ( M != N )
| ~ ( property1 @ N @ dishonest @ pos ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(28,plain,
( ( ! [K: $i] :
( ~ ( person @ K )
| ~ ( property1 @ K @ healthy @ pos )
| ! [L: $i] :
( ( K != L )
| ~ ( property1 @ L @ unhealthy @ pos ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(29,plain,
( ( ! [I: $i] :
( ~ ( cyclist @ I )
| ~ ( property1 @ I @ unhealthy @ pos )
| ( ( I
= ( sK6_J @ I ) )
& ( property1 @ ( sK6_J @ I ) @ dishonest @ pos ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(30,plain,
( ( ! [G: $i] :
( ~ ( cyclist @ G )
| ( ( G
= ( sK5_H @ G ) )
& ( property1 @ ( sK5_H @ G ) @ industrious @ pos ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(31,plain,
( ( ! [E: $i] :
( ~ ( grocer @ E )
| ~ ( property1 @ E @ industrious @ pos )
| ( ( E
= ( sK4_F @ E ) )
& ( property1 @ ( sK4_F @ E ) @ honest @ pos ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(32,plain,
( ( ! [C: $i] :
( ~ ( grocer @ C )
| ! [D: $i] :
( ( C != D )
| ~ ( property1 @ D @ healthy @ pos ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(33,plain,
( ( ! [A: $i] :
( ~ ( person @ A )
| ~ ( property1 @ A @ honest @ pos )
| ~ ( property1 @ A @ industrious @ pos )
| ( ( A
= ( sK3_B @ A ) )
& ( property1 @ ( sK3_B @ A ) @ healthy @ pos ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(34,plain,
( ( ( grocer @ sK1_S )
& ( sK1_S = sK2_SY20 )
& ( cyclist @ sK2_SY20 ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(35,plain,
( ( ! [SX0: $i] :
( ~ ( cyclist @ SX0 )
| ~ ( property1 @ SX0 @ unhealthy @ pos )
| ~ ( ( SX0
!= ( sK6_J @ SX0 ) )
| ~ ( property1 @ ( sK6_J @ SX0 ) @ dishonest @ pos ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(36,plain,
( ( ! [SX0: $i] :
( ~ ( grocer @ SX0 )
| ~ ( ( SX0
!= ( sK7_P @ SX0 ) )
| ~ ( person @ ( sK7_P @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(37,plain,
( ( ! [SX0: $i] :
( ~ ( person @ SX0 )
| ~ ( property1 @ SX0 @ honest @ pos )
| ~ ( property1 @ SX0 @ industrious @ pos )
| ~ ( ( SX0
!= ( sK3_B @ SX0 ) )
| ~ ( property1 @ ( sK3_B @ SX0 ) @ healthy @ pos ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(38,plain,
( ( ~ ( ~ ( grocer @ sK1_S )
| ~ ~ ( ( sK1_S != sK2_SY20 )
| ~ ( cyclist @ sK2_SY20 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(39,plain,
( ( ! [SX0: $i] :
( ~ ( grocer @ SX0 )
| ~ ( property1 @ SX0 @ industrious @ pos )
| ~ ( ( SX0
!= ( sK4_F @ SX0 ) )
| ~ ( property1 @ ( sK4_F @ SX0 ) @ honest @ pos ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(40,plain,
( ( ! [SX0: $i] :
( ~ ( cyclist @ SX0 )
| ~ ( ( SX0
!= ( sK5_H @ SX0 ) )
| ~ ( property1 @ ( sK5_H @ SX0 ) @ industrious @ pos ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(41,plain,
( ( ! [SX0: $i] :
( ~ ( cyclist @ SX0 )
| ~ ( ( SX0
!= ( sK8_R @ SX0 ) )
| ~ ( person @ ( sK8_R @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(42,plain,
! [SV1: $i] :
( ( ~ ( person @ SV1 )
| ~ ( property1 @ SV1 @ honest @ pos )
| ! [SY21: $i] :
( ( SV1 != SY21 )
| ~ ( property1 @ SY21 @ dishonest @ pos ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(43,plain,
! [SV2: $i] :
( ( ~ ( person @ SV2 )
| ~ ( property1 @ SV2 @ healthy @ pos )
| ! [SY22: $i] :
( ( SV2 != SY22 )
| ~ ( property1 @ SY22 @ unhealthy @ pos ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(44,plain,
! [SV3: $i] :
( ( ~ ( grocer @ SV3 )
| ! [SY23: $i] :
( ( SV3 != SY23 )
| ~ ( property1 @ SY23 @ healthy @ pos ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(45,plain,
! [SV4: $i] :
( ( ~ ( cyclist @ SV4 )
| ~ ( property1 @ SV4 @ unhealthy @ pos )
| ~ ( ( SV4
!= ( sK6_J @ SV4 ) )
| ~ ( property1 @ ( sK6_J @ SV4 ) @ dishonest @ pos ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(46,plain,
! [SV5: $i] :
( ( ~ ( grocer @ SV5 )
| ~ ( ( SV5
!= ( sK7_P @ SV5 ) )
| ~ ( person @ ( sK7_P @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(47,plain,
! [SV6: $i] :
( ( ~ ( person @ SV6 )
| ~ ( property1 @ SV6 @ honest @ pos )
| ~ ( property1 @ SV6 @ industrious @ pos )
| ~ ( ( SV6
!= ( sK3_B @ SV6 ) )
| ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(48,plain,
( ( ~ ( grocer @ sK1_S )
| ~ ~ ( ( sK1_S != sK2_SY20 )
| ~ ( cyclist @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(49,plain,
! [SV7: $i] :
( ( ~ ( grocer @ SV7 )
| ~ ( property1 @ SV7 @ industrious @ pos )
| ~ ( ( SV7
!= ( sK4_F @ SV7 ) )
| ~ ( property1 @ ( sK4_F @ SV7 ) @ honest @ pos ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(50,plain,
! [SV8: $i] :
( ( ~ ( cyclist @ SV8 )
| ~ ( ( SV8
!= ( sK5_H @ SV8 ) )
| ~ ( property1 @ ( sK5_H @ SV8 ) @ industrious @ pos ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(51,plain,
! [SV9: $i] :
( ( ~ ( cyclist @ SV9 )
| ~ ( ( SV9
!= ( sK8_R @ SV9 ) )
| ~ ( person @ ( sK8_R @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(52,plain,
! [SV1: $i] :
( ( ( ~ ( person @ SV1 )
| ~ ( property1 @ SV1 @ honest @ pos ) )
= $true )
| ( ( ! [SY21: $i] :
( ( SV1 != SY21 )
| ~ ( property1 @ SY21 @ dishonest @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV2: $i] :
( ( ( ~ ( person @ SV2 )
| ~ ( property1 @ SV2 @ healthy @ pos ) )
= $true )
| ( ( ! [SY22: $i] :
( ( SV2 != SY22 )
| ~ ( property1 @ SY22 @ unhealthy @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV3: $i] :
( ( ( ~ ( grocer @ SV3 ) )
= $true )
| ( ( ! [SY23: $i] :
( ( SV3 != SY23 )
| ~ ( property1 @ SY23 @ healthy @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(55,plain,
! [SV4: $i] :
( ( ( ~ ( cyclist @ SV4 )
| ~ ( property1 @ SV4 @ unhealthy @ pos ) )
= $true )
| ( ( ~ ( ( SV4
!= ( sK6_J @ SV4 ) )
| ~ ( property1 @ ( sK6_J @ SV4 ) @ dishonest @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(56,plain,
! [SV5: $i] :
( ( ( ~ ( grocer @ SV5 ) )
= $true )
| ( ( ~ ( ( SV5
!= ( sK7_P @ SV5 ) )
| ~ ( person @ ( sK7_P @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(57,plain,
! [SV6: $i] :
( ( ( ~ ( person @ SV6 )
| ~ ( property1 @ SV6 @ honest @ pos )
| ~ ( property1 @ SV6 @ industrious @ pos ) )
= $true )
| ( ( ~ ( ( SV6
!= ( sK3_B @ SV6 ) )
| ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(58,plain,
( ( ~ ( grocer @ sK1_S ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ~ ( ( sK1_S != sK2_SY20 )
| ~ ( cyclist @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(60,plain,
! [SV7: $i] :
( ( ( ~ ( grocer @ SV7 )
| ~ ( property1 @ SV7 @ industrious @ pos ) )
= $true )
| ( ( ~ ( ( SV7
!= ( sK4_F @ SV7 ) )
| ~ ( property1 @ ( sK4_F @ SV7 ) @ honest @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(61,plain,
! [SV8: $i] :
( ( ( ~ ( cyclist @ SV8 ) )
= $true )
| ( ( ~ ( ( SV8
!= ( sK5_H @ SV8 ) )
| ~ ( property1 @ ( sK5_H @ SV8 ) @ industrious @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(62,plain,
! [SV9: $i] :
( ( ( ~ ( cyclist @ SV9 ) )
= $true )
| ( ( ~ ( ( SV9
!= ( sK8_R @ SV9 ) )
| ~ ( person @ ( sK8_R @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(63,plain,
! [SV1: $i] :
( ( ( ~ ( person @ SV1 ) )
= $true )
| ( ( ~ ( property1 @ SV1 @ honest @ pos ) )
= $true )
| ( ( ! [SY21: $i] :
( ( SV1 != SY21 )
| ~ ( property1 @ SY21 @ dishonest @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(64,plain,
! [SV2: $i] :
( ( ( ~ ( person @ SV2 ) )
= $true )
| ( ( ~ ( property1 @ SV2 @ healthy @ pos ) )
= $true )
| ( ( ! [SY22: $i] :
( ( SV2 != SY22 )
| ~ ( property1 @ SY22 @ unhealthy @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(65,plain,
! [SV3: $i] :
( ( ( grocer @ SV3 )
= $false )
| ( ( ! [SY23: $i] :
( ( SV3 != SY23 )
| ~ ( property1 @ SY23 @ healthy @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(66,plain,
! [SV4: $i] :
( ( ( ~ ( cyclist @ SV4 ) )
= $true )
| ( ( ~ ( property1 @ SV4 @ unhealthy @ pos ) )
= $true )
| ( ( ~ ( ( SV4
!= ( sK6_J @ SV4 ) )
| ~ ( property1 @ ( sK6_J @ SV4 ) @ dishonest @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(67,plain,
! [SV5: $i] :
( ( ( grocer @ SV5 )
= $false )
| ( ( ~ ( ( SV5
!= ( sK7_P @ SV5 ) )
| ~ ( person @ ( sK7_P @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(68,plain,
! [SV6: $i] :
( ( ( ~ ( person @ SV6 )
| ~ ( property1 @ SV6 @ honest @ pos ) )
= $true )
| ( ( ~ ( property1 @ SV6 @ industrious @ pos ) )
= $true )
| ( ( ~ ( ( SV6
!= ( sK3_B @ SV6 ) )
| ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(69,plain,
( ( grocer @ sK1_S )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(70,plain,
( ( ~ ( ( sK1_S != sK2_SY20 )
| ~ ( cyclist @ sK2_SY20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(71,plain,
! [SV7: $i] :
( ( ( ~ ( grocer @ SV7 ) )
= $true )
| ( ( ~ ( property1 @ SV7 @ industrious @ pos ) )
= $true )
| ( ( ~ ( ( SV7
!= ( sK4_F @ SV7 ) )
| ~ ( property1 @ ( sK4_F @ SV7 ) @ honest @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(72,plain,
! [SV8: $i] :
( ( ( cyclist @ SV8 )
= $false )
| ( ( ~ ( ( SV8
!= ( sK5_H @ SV8 ) )
| ~ ( property1 @ ( sK5_H @ SV8 ) @ industrious @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(73,plain,
! [SV9: $i] :
( ( ( cyclist @ SV9 )
= $false )
| ( ( ~ ( ( SV9
!= ( sK8_R @ SV9 ) )
| ~ ( person @ ( sK8_R @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(74,plain,
! [SV1: $i] :
( ( ( person @ SV1 )
= $false )
| ( ( ~ ( property1 @ SV1 @ honest @ pos ) )
= $true )
| ( ( ! [SY21: $i] :
( ( SV1 != SY21 )
| ~ ( property1 @ SY21 @ dishonest @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(75,plain,
! [SV2: $i] :
( ( ( person @ SV2 )
= $false )
| ( ( ~ ( property1 @ SV2 @ healthy @ pos ) )
= $true )
| ( ( ! [SY22: $i] :
( ( SV2 != SY22 )
| ~ ( property1 @ SY22 @ unhealthy @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(76,plain,
! [SV10: $i,SV3: $i] :
( ( ( ( SV3 != SV10 )
| ~ ( property1 @ SV10 @ healthy @ pos ) )
= $true )
| ( ( grocer @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(77,plain,
! [SV4: $i] :
( ( ( cyclist @ SV4 )
= $false )
| ( ( ~ ( property1 @ SV4 @ unhealthy @ pos ) )
= $true )
| ( ( ~ ( ( SV4
!= ( sK6_J @ SV4 ) )
| ~ ( property1 @ ( sK6_J @ SV4 ) @ dishonest @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(78,plain,
! [SV5: $i] :
( ( ( ( SV5
!= ( sK7_P @ SV5 ) )
| ~ ( person @ ( sK7_P @ SV5 ) ) )
= $false )
| ( ( grocer @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(79,plain,
! [SV6: $i] :
( ( ( ~ ( person @ SV6 ) )
= $true )
| ( ( ~ ( property1 @ SV6 @ honest @ pos ) )
= $true )
| ( ( ~ ( property1 @ SV6 @ industrious @ pos ) )
= $true )
| ( ( ~ ( ( SV6
!= ( sK3_B @ SV6 ) )
| ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(80,plain,
( ( ( sK1_S != sK2_SY20 )
| ~ ( cyclist @ sK2_SY20 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV7: $i] :
( ( ( grocer @ SV7 )
= $false )
| ( ( ~ ( property1 @ SV7 @ industrious @ pos ) )
= $true )
| ( ( ~ ( ( SV7
!= ( sK4_F @ SV7 ) )
| ~ ( property1 @ ( sK4_F @ SV7 ) @ honest @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV8: $i] :
( ( ( ( SV8
!= ( sK5_H @ SV8 ) )
| ~ ( property1 @ ( sK5_H @ SV8 ) @ industrious @ pos ) )
= $false )
| ( ( cyclist @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV9: $i] :
( ( ( ( SV9
!= ( sK8_R @ SV9 ) )
| ~ ( person @ ( sK8_R @ SV9 ) ) )
= $false )
| ( ( cyclist @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV1: $i] :
( ( ( property1 @ SV1 @ honest @ pos )
= $false )
| ( ( person @ SV1 )
= $false )
| ( ( ! [SY21: $i] :
( ( SV1 != SY21 )
| ~ ( property1 @ SY21 @ dishonest @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV2: $i] :
( ( ( property1 @ SV2 @ healthy @ pos )
= $false )
| ( ( person @ SV2 )
= $false )
| ( ( ! [SY22: $i] :
( ( SV2 != SY22 )
| ~ ( property1 @ SY22 @ unhealthy @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV10: $i,SV3: $i] :
( ( ( ( SV3 != SV10 ) )
= $true )
| ( ( ~ ( property1 @ SV10 @ healthy @ pos ) )
= $true )
| ( ( grocer @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(87,plain,
! [SV4: $i] :
( ( ( property1 @ SV4 @ unhealthy @ pos )
= $false )
| ( ( cyclist @ SV4 )
= $false )
| ( ( ~ ( ( SV4
!= ( sK6_J @ SV4 ) )
| ~ ( property1 @ ( sK6_J @ SV4 ) @ dishonest @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV5: $i] :
( ( ( ( SV5
!= ( sK7_P @ SV5 ) ) )
= $false )
| ( ( grocer @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(89,plain,
! [SV5: $i] :
( ( ( ~ ( person @ ( sK7_P @ SV5 ) ) )
= $false )
| ( ( grocer @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(90,plain,
! [SV6: $i] :
( ( ( person @ SV6 )
= $false )
| ( ( ~ ( property1 @ SV6 @ honest @ pos ) )
= $true )
| ( ( ~ ( property1 @ SV6 @ industrious @ pos ) )
= $true )
| ( ( ~ ( ( SV6
!= ( sK3_B @ SV6 ) )
| ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(91,plain,
( ( ( sK1_S != sK2_SY20 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(92,plain,
( ( ~ ( cyclist @ sK2_SY20 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(93,plain,
! [SV7: $i] :
( ( ( property1 @ SV7 @ industrious @ pos )
= $false )
| ( ( grocer @ SV7 )
= $false )
| ( ( ~ ( ( SV7
!= ( sK4_F @ SV7 ) )
| ~ ( property1 @ ( sK4_F @ SV7 ) @ honest @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV8: $i] :
( ( ( ( SV8
!= ( sK5_H @ SV8 ) ) )
= $false )
| ( ( cyclist @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(95,plain,
! [SV8: $i] :
( ( ( ~ ( property1 @ ( sK5_H @ SV8 ) @ industrious @ pos ) )
= $false )
| ( ( cyclist @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(96,plain,
! [SV9: $i] :
( ( ( ( SV9
!= ( sK8_R @ SV9 ) ) )
= $false )
| ( ( cyclist @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(97,plain,
! [SV9: $i] :
( ( ( ~ ( person @ ( sK8_R @ SV9 ) ) )
= $false )
| ( ( cyclist @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(98,plain,
! [SV11: $i,SV1: $i] :
( ( ( ( SV1 != SV11 )
| ~ ( property1 @ SV11 @ dishonest @ pos ) )
= $true )
| ( ( person @ SV1 )
= $false )
| ( ( property1 @ SV1 @ honest @ pos )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV12: $i,SV2: $i] :
( ( ( ( SV2 != SV12 )
| ~ ( property1 @ SV12 @ unhealthy @ pos ) )
= $true )
| ( ( person @ SV2 )
= $false )
| ( ( property1 @ SV2 @ healthy @ pos )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV10: $i,SV3: $i] :
( ( ( SV3 = SV10 )
= $false )
| ( ( ~ ( property1 @ SV10 @ healthy @ pos ) )
= $true )
| ( ( grocer @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV4: $i] :
( ( ( ( SV4
!= ( sK6_J @ SV4 ) )
| ~ ( property1 @ ( sK6_J @ SV4 ) @ dishonest @ pos ) )
= $false )
| ( ( cyclist @ SV4 )
= $false )
| ( ( property1 @ SV4 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV5: $i] :
( ( ( SV5
= ( sK7_P @ SV5 ) )
= $true )
| ( ( grocer @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(103,plain,
! [SV5: $i] :
( ( ( person @ ( sK7_P @ SV5 ) )
= $true )
| ( ( grocer @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(104,plain,
! [SV6: $i] :
( ( ( property1 @ SV6 @ honest @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( ~ ( property1 @ SV6 @ industrious @ pos ) )
= $true )
| ( ( ~ ( ( SV6
!= ( sK3_B @ SV6 ) )
| ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(105,plain,
( ( sK1_S = sK2_SY20 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(106,plain,
( ( cyclist @ sK2_SY20 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(107,plain,
! [SV7: $i] :
( ( ( ( SV7
!= ( sK4_F @ SV7 ) )
| ~ ( property1 @ ( sK4_F @ SV7 ) @ honest @ pos ) )
= $false )
| ( ( grocer @ SV7 )
= $false )
| ( ( property1 @ SV7 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV8: $i] :
( ( ( SV8
= ( sK5_H @ SV8 ) )
= $true )
| ( ( cyclist @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(109,plain,
! [SV8: $i] :
( ( ( property1 @ ( sK5_H @ SV8 ) @ industrious @ pos )
= $true )
| ( ( cyclist @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(110,plain,
! [SV9: $i] :
( ( ( SV9
= ( sK8_R @ SV9 ) )
= $true )
| ( ( cyclist @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(111,plain,
! [SV9: $i] :
( ( ( person @ ( sK8_R @ SV9 ) )
= $true )
| ( ( cyclist @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(112,plain,
! [SV11: $i,SV1: $i] :
( ( ( ( SV1 != SV11 ) )
= $true )
| ( ( ~ ( property1 @ SV11 @ dishonest @ pos ) )
= $true )
| ( ( person @ SV1 )
= $false )
| ( ( property1 @ SV1 @ honest @ pos )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV12: $i,SV2: $i] :
( ( ( ( SV2 != SV12 ) )
= $true )
| ( ( ~ ( property1 @ SV12 @ unhealthy @ pos ) )
= $true )
| ( ( person @ SV2 )
= $false )
| ( ( property1 @ SV2 @ healthy @ pos )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV3: $i,SV10: $i] :
( ( ( property1 @ SV10 @ healthy @ pos )
= $false )
| ( ( SV3 = SV10 )
= $false )
| ( ( grocer @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV4: $i] :
( ( ( ( SV4
!= ( sK6_J @ SV4 ) ) )
= $false )
| ( ( cyclist @ SV4 )
= $false )
| ( ( property1 @ SV4 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(116,plain,
! [SV4: $i] :
( ( ( ~ ( property1 @ ( sK6_J @ SV4 ) @ dishonest @ pos ) )
= $false )
| ( ( cyclist @ SV4 )
= $false )
| ( ( property1 @ SV4 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(117,plain,
! [SV6: $i] :
( ( ( property1 @ SV6 @ industrious @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false )
| ( ( ~ ( ( SV6
!= ( sK3_B @ SV6 ) )
| ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV7: $i] :
( ( ( ( SV7
!= ( sK4_F @ SV7 ) ) )
= $false )
| ( ( grocer @ SV7 )
= $false )
| ( ( property1 @ SV7 @ industrious @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(119,plain,
! [SV7: $i] :
( ( ( ~ ( property1 @ ( sK4_F @ SV7 ) @ honest @ pos ) )
= $false )
| ( ( grocer @ SV7 )
= $false )
| ( ( property1 @ SV7 @ industrious @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(120,plain,
! [SV11: $i,SV1: $i] :
( ( ( SV1 = SV11 )
= $false )
| ( ( ~ ( property1 @ SV11 @ dishonest @ pos ) )
= $true )
| ( ( person @ SV1 )
= $false )
| ( ( property1 @ SV1 @ honest @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV12: $i,SV2: $i] :
( ( ( SV2 = SV12 )
= $false )
| ( ( ~ ( property1 @ SV12 @ unhealthy @ pos ) )
= $true )
| ( ( person @ SV2 )
= $false )
| ( ( property1 @ SV2 @ healthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV4: $i] :
( ( ( SV4
= ( sK6_J @ SV4 ) )
= $true )
| ( ( cyclist @ SV4 )
= $false )
| ( ( property1 @ SV4 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(123,plain,
! [SV4: $i] :
( ( ( property1 @ ( sK6_J @ SV4 ) @ dishonest @ pos )
= $true )
| ( ( cyclist @ SV4 )
= $false )
| ( ( property1 @ SV4 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(124,plain,
! [SV6: $i] :
( ( ( ( SV6
!= ( sK3_B @ SV6 ) )
| ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV7: $i] :
( ( ( SV7
= ( sK4_F @ SV7 ) )
= $true )
| ( ( grocer @ SV7 )
= $false )
| ( ( property1 @ SV7 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(126,plain,
! [SV7: $i] :
( ( ( property1 @ ( sK4_F @ SV7 ) @ honest @ pos )
= $true )
| ( ( grocer @ SV7 )
= $false )
| ( ( property1 @ SV7 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(127,plain,
! [SV1: $i,SV11: $i] :
( ( ( property1 @ SV11 @ dishonest @ pos )
= $false )
| ( ( SV1 = SV11 )
= $false )
| ( ( person @ SV1 )
= $false )
| ( ( property1 @ SV1 @ honest @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(128,plain,
! [SV2: $i,SV12: $i] :
( ( ( property1 @ SV12 @ unhealthy @ pos )
= $false )
| ( ( SV2 = SV12 )
= $false )
| ( ( person @ SV2 )
= $false )
| ( ( property1 @ SV2 @ healthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(129,plain,
! [SV6: $i] :
( ( ( ( SV6
!= ( sK3_B @ SV6 ) ) )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ industrious @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(130,plain,
! [SV6: $i] :
( ( ( ~ ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos ) )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ industrious @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(131,plain,
! [SV6: $i] :
( ( ( SV6
= ( sK3_B @ SV6 ) )
= $true )
| ( ( property1 @ SV6 @ honest @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(132,plain,
! [SV6: $i] :
( ( ( property1 @ ( sK3_B @ SV6 ) @ healthy @ pos )
= $true )
| ( ( property1 @ SV6 @ honest @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(133,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[69,132,131,128,127,126,125,123,122,114,111,110,109,108,106,105,103,102]) ).
thf(134,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ129+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 21:14:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.18/0.37 (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).....
% 0.18/0.46
% 0.18/0.46 ********************************
% 0.18/0.46 * All subproblems solved! *
% 0.18/0.46 ********************************
% 0.18/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:133,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.47
% 0.18/0.47 %**** Beginning of derivation protocol ****
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47
% 0.18/0.47 %**** End of derivation protocol ****
% 0.18/0.47 %**** no. of clauses in derivation: 134 ****
% 0.18/0.47 %**** clause counter: 133 ****
% 0.18/0.47
% 0.18/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:133,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------