%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ129+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:58 AM UTC 2026
% Result : Theorem 0.39s 0.30s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 1
% Syntax : Number of formulae : 173 ( 58 unt; 0 typ; 0 def)
% Number of atoms : 1418 ( 547 equ; 0 cnn)
% Maximal formula atoms : 36 ( 8 avg)
% Number of connectives : 2304 ( 687 ~; 356 |; 105 &;1102 @)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 332 ( 0 ^; 281 !; 51 ?; 332 :)
% 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_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY20,type,
sK2_SY20: $i > $i ).
thf(tp_sK3_SY21,type,
sK3_SY21: $i > $i ).
thf(tp_sK4_SY23,type,
sK4_SY23: $i > $i ).
thf(tp_sK5_SY29,type,
sK5_SY29: $i ).
thf(tp_sK6_SY22,type,
sK6_SY22: $i > $i ).
thf(tp_sK7_SY26,type,
sK7_SY26: $i > $i ).
thf(tp_sK8_SY24,type,
sK8_SY24: $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/sandbox2/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,
( ( ! [Q: $i] :
( ( cyclist @ Q )
=> ? [R: $i] :
( ( person @ R )
& ( Q = R ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(16,plain,
( ( ! [O: $i] :
( ( grocer @ O )
=> ? [P: $i] :
( ( person @ P )
& ( O = P ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,plain,
( ( ! [M: $i] :
( ( ( person @ M )
& ( property1 @ M @ honest @ pos ) )
=> ~ ? [N: $i] :
( ( property1 @ N @ dishonest @ pos )
& ( M = N ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(18,plain,
( ( ! [K: $i] :
( ( ( person @ K )
& ( property1 @ K @ healthy @ pos ) )
=> ~ ? [L: $i] :
( ( property1 @ L @ unhealthy @ pos )
& ( K = L ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(19,plain,
( ( ! [I: $i] :
( ( ( cyclist @ I )
& ( property1 @ I @ unhealthy @ pos ) )
=> ? [J: $i] :
( ( property1 @ J @ dishonest @ pos )
& ( I = J ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(20,plain,
( ( ! [G: $i] :
( ( cyclist @ G )
=> ? [H: $i] :
( ( property1 @ H @ industrious @ pos )
& ( G = H ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [E: $i] :
( ( ( grocer @ E )
& ( property1 @ E @ industrious @ pos ) )
=> ? [F: $i] :
( ( property1 @ F @ honest @ pos )
& ( E = F ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(22,plain,
( ( ! [C: $i] :
( ( grocer @ C )
=> ~ ? [D: $i] :
( ( property1 @ D @ healthy @ pos )
& ( C = D ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [A: $i] :
( ( ( person @ A )
& ( property1 @ A @ honest @ pos )
& ( property1 @ A @ industrious @ pos ) )
=> ? [B: $i] :
( ( property1 @ B @ healthy @ pos )
& ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(24,plain,
( ( ~ ! [S: $i] :
( ( grocer @ S )
=> ~ ? [T: $i] :
( ( cyclist @ T )
& ( S = T ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(25,plain,
( ( ! [SX0: $i] :
( ~ ( cyclist @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( property1 @ SX1 @ industrious @ pos )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(26,plain,
( ( ! [SX0: $i] :
( ~ ( cyclist @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( person @ SX1 )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(27,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( grocer @ SX0 )
| ~ ( property1 @ SX0 @ industrious @ pos ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( property1 @ SX1 @ honest @ pos )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(28,plain,
( ( ! [SX0: $i] :
( ~ ( grocer @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( person @ SX1 )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(29,plain,
( ( ~ ! [SX0: $i] :
( ~ ( grocer @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( cyclist @ SX1 )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(30,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ( person @ SX0 )
| ~ ( property1 @ SX0 @ honest @ pos ) )
| ~ ( property1 @ SX0 @ industrious @ pos ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( property1 @ SX1 @ healthy @ pos )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(31,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( person @ SX0 )
| ~ ( property1 @ SX0 @ honest @ pos ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( property1 @ SX1 @ dishonest @ pos )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(32,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( cyclist @ SX0 )
| ~ ( property1 @ SX0 @ unhealthy @ pos ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( property1 @ SX1 @ dishonest @ pos )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(33,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( person @ SX0 )
| ~ ( property1 @ SX0 @ healthy @ pos ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( property1 @ SX1 @ unhealthy @ pos )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(34,plain,
( ( ! [SX0: $i] :
( ~ ( grocer @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( property1 @ SX1 @ healthy @ pos )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(35,plain,
! [SV1: $i] :
( ( ~ ( cyclist @ SV1 )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( property1 @ SY20 @ industrious @ pos )
| ( SV1 != SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(36,plain,
! [SV2: $i] :
( ( ~ ( cyclist @ SV2 )
| ~ ! [SY21: $i] :
~ ~ ( ~ ( person @ SY21 )
| ( SV2 != SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(37,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( grocer @ SV3 )
| ~ ( property1 @ SV3 @ industrious @ pos ) )
| ~ ! [SY22: $i] :
~ ~ ( ~ ( property1 @ SY22 @ honest @ pos )
| ( SV3 != SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(38,plain,
! [SV4: $i] :
( ( ~ ( grocer @ SV4 )
| ~ ! [SY23: $i] :
~ ~ ( ~ ( person @ SY23 )
| ( SV4 != SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(39,plain,
( ( ! [SX0: $i] :
( ~ ( grocer @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( cyclist @ SX1 )
| ( SX0 != SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(40,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( person @ SV5 )
| ~ ( property1 @ SV5 @ honest @ pos ) )
| ~ ( property1 @ SV5 @ industrious @ pos ) )
| ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(41,plain,
! [SV6: $i] :
( ( ~ ~ ( ~ ( person @ SV6 )
| ~ ( property1 @ SV6 @ honest @ pos ) )
| ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(42,plain,
! [SV7: $i] :
( ( ~ ~ ( ~ ( cyclist @ SV7 )
| ~ ( property1 @ SV7 @ unhealthy @ pos ) )
| ~ ! [SY26: $i] :
~ ~ ( ~ ( property1 @ SY26 @ dishonest @ pos )
| ( SV7 != SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(43,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( person @ SV8 )
| ~ ( property1 @ SV8 @ healthy @ pos ) )
| ~ ~ ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(44,plain,
! [SV9: $i] :
( ( ~ ( grocer @ SV9 )
| ~ ~ ! [SY28: $i] :
~ ~ ( ~ ( property1 @ SY28 @ healthy @ pos )
| ( SV9 != SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(45,plain,
! [SV1: $i] :
( ( ( ~ ( cyclist @ SV1 ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( property1 @ SY20 @ industrious @ pos )
| ( SV1 != SY20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( ~ ( cyclist @ SV2 ) )
= $true )
| ( ( ~ ! [SY21: $i] :
~ ~ ( ~ ( person @ SY21 )
| ( SV2 != SY21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(47,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( grocer @ SV3 )
| ~ ( property1 @ SV3 @ industrious @ pos ) ) )
= $true )
| ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( property1 @ SY22 @ honest @ pos )
| ( SV3 != SY22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(48,plain,
! [SV4: $i] :
( ( ( ~ ( grocer @ SV4 ) )
= $true )
| ( ( ~ ! [SY23: $i] :
~ ~ ( ~ ( person @ SY23 )
| ( SV4 != SY23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(49,plain,
( ( ~ ( grocer @ sK1_SX0 )
| ~ ~ ! [SY29: $i] :
~ ~ ( ~ ( cyclist @ SY29 )
| ( sK1_SX0 != SY29 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(50,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( person @ SV5 )
| ~ ( property1 @ SV5 @ honest @ pos ) )
| ~ ( property1 @ SV5 @ industrious @ pos ) ) )
= $true )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(51,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( person @ SV6 )
| ~ ( property1 @ SV6 @ honest @ pos ) ) )
= $true )
| ( ( ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(52,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( cyclist @ SV7 )
| ~ ( property1 @ SV7 @ unhealthy @ pos ) ) )
= $true )
| ( ( ~ ! [SY26: $i] :
~ ~ ( ~ ( property1 @ SY26 @ dishonest @ pos )
| ( SV7 != SY26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( person @ SV8 )
| ~ ( property1 @ SV8 @ healthy @ pos ) ) )
= $true )
| ( ( ~ ~ ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV9: $i] :
( ( ( ~ ( grocer @ SV9 ) )
= $true )
| ( ( ~ ~ ! [SY28: $i] :
~ ~ ( ~ ( property1 @ SY28 @ healthy @ pos )
| ( SV9 != SY28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(55,plain,
! [SV1: $i] :
( ( ( cyclist @ SV1 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( property1 @ SY20 @ industrious @ pos )
| ( SV1 != SY20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( cyclist @ SV2 )
= $false )
| ( ( ~ ! [SY21: $i] :
~ ~ ( ~ ( person @ SY21 )
| ( SV2 != SY21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(57,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( grocer @ SV3 )
| ~ ( property1 @ SV3 @ industrious @ pos ) ) )
= $false )
| ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( property1 @ SY22 @ honest @ pos )
| ( SV3 != SY22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(58,plain,
! [SV4: $i] :
( ( ( grocer @ SV4 )
= $false )
| ( ( ~ ! [SY23: $i] :
~ ~ ( ~ ( person @ SY23 )
| ( SV4 != SY23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ( grocer @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(60,plain,
( ( ~ ~ ! [SY29: $i] :
~ ~ ( ~ ( cyclist @ SY29 )
| ( sK1_SX0 != SY29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(61,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ( person @ SV5 )
| ~ ( property1 @ SV5 @ honest @ pos ) )
| ~ ( property1 @ SV5 @ industrious @ pos ) ) )
= $false )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(62,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( person @ SV6 )
| ~ ( property1 @ SV6 @ honest @ pos ) ) )
= $false )
| ( ( ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(63,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( cyclist @ SV7 )
| ~ ( property1 @ SV7 @ unhealthy @ pos ) ) )
= $false )
| ( ( ~ ! [SY26: $i] :
~ ~ ( ~ ( property1 @ SY26 @ dishonest @ pos )
| ( SV7 != SY26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(64,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( person @ SV8 )
| ~ ( property1 @ SV8 @ healthy @ pos ) ) )
= $false )
| ( ( ~ ~ ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(65,plain,
! [SV9: $i] :
( ( ( grocer @ SV9 )
= $false )
| ( ( ~ ~ ! [SY28: $i] :
~ ~ ( ~ ( property1 @ SY28 @ healthy @ pos )
| ( SV9 != SY28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(66,plain,
! [SV1: $i] :
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( property1 @ SY20 @ industrious @ pos )
| ( SV1 != SY20 ) ) )
= $false )
| ( ( cyclist @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(67,plain,
! [SV2: $i] :
( ( ( ! [SY21: $i] :
~ ~ ( ~ ( person @ SY21 )
| ( SV2 != SY21 ) ) )
= $false )
| ( ( cyclist @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(68,plain,
! [SV3: $i] :
( ( ( ~ ( grocer @ SV3 )
| ~ ( property1 @ SV3 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( property1 @ SY22 @ honest @ pos )
| ( SV3 != SY22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(69,plain,
! [SV4: $i] :
( ( ( ! [SY23: $i] :
~ ~ ( ~ ( person @ SY23 )
| ( SV4 != SY23 ) ) )
= $false )
| ( ( grocer @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(70,plain,
( ( grocer @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(71,plain,
( ( ~ ! [SY29: $i] :
~ ~ ( ~ ( cyclist @ SY29 )
| ( sK1_SX0 != SY29 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(72,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( person @ SV5 )
| ~ ( property1 @ SV5 @ honest @ pos ) )
| ~ ( property1 @ SV5 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(73,plain,
! [SV6: $i] :
( ( ( ~ ( person @ SV6 )
| ~ ( property1 @ SV6 @ honest @ pos ) )
= $true )
| ( ( ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(74,plain,
! [SV7: $i] :
( ( ( ~ ( cyclist @ SV7 )
| ~ ( property1 @ SV7 @ unhealthy @ pos ) )
= $true )
| ( ( ~ ! [SY26: $i] :
~ ~ ( ~ ( property1 @ SY26 @ dishonest @ pos )
| ( SV7 != SY26 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(75,plain,
! [SV8: $i] :
( ( ( ~ ( person @ SV8 )
| ~ ( property1 @ SV8 @ healthy @ pos ) )
= $true )
| ( ( ~ ~ ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(76,plain,
! [SV9: $i] :
( ( ( ~ ! [SY28: $i] :
~ ~ ( ~ ( property1 @ SY28 @ healthy @ pos )
| ( SV9 != SY28 ) ) )
= $false )
| ( ( grocer @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(77,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( property1 @ ( sK2_SY20 @ SV1 ) @ industrious @ pos )
| ( SV1
!= ( sK2_SY20 @ SV1 ) ) ) )
= $false )
| ( ( cyclist @ SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(78,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( person @ ( sK3_SY21 @ SV2 ) )
| ( SV2
!= ( sK3_SY21 @ SV2 ) ) ) )
= $false )
| ( ( cyclist @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[67]) ).
thf(79,plain,
! [SV3: $i] :
( ( ( ~ ( grocer @ SV3 ) )
= $true )
| ( ( ~ ( property1 @ SV3 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( property1 @ SY22 @ honest @ pos )
| ( SV3 != SY22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(80,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( person @ ( sK4_SY23 @ SV4 ) )
| ( SV4
!= ( sK4_SY23 @ SV4 ) ) ) )
= $false )
| ( ( grocer @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(81,plain,
( ( ! [SY29: $i] :
~ ~ ( ~ ( cyclist @ SY29 )
| ( sK1_SX0 != SY29 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( person @ SV5 )
| ~ ( property1 @ SV5 @ honest @ pos ) ) )
= $true )
| ( ( ~ ( property1 @ SV5 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV6: $i] :
( ( ( ~ ( person @ SV6 ) )
= $true )
| ( ( ~ ( property1 @ SV6 @ honest @ pos ) )
= $true )
| ( ( ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV7: $i] :
( ( ( ~ ( cyclist @ SV7 ) )
= $true )
| ( ( ~ ( property1 @ SV7 @ unhealthy @ pos ) )
= $true )
| ( ( ~ ! [SY26: $i] :
~ ~ ( ~ ( property1 @ SY26 @ dishonest @ pos )
| ( SV7 != SY26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV8: $i] :
( ( ( ~ ( person @ SV8 ) )
= $true )
| ( ( ~ ( property1 @ SV8 @ healthy @ pos ) )
= $true )
| ( ( ~ ~ ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV9: $i] :
( ( ( ! [SY28: $i] :
~ ~ ( ~ ( property1 @ SY28 @ healthy @ pos )
| ( SV9 != SY28 ) ) )
= $true )
| ( ( grocer @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(87,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( property1 @ ( sK2_SY20 @ SV1 ) @ industrious @ pos )
| ( SV1
!= ( sK2_SY20 @ SV1 ) ) ) )
= $true )
| ( ( cyclist @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(88,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( person @ ( sK3_SY21 @ SV2 ) )
| ( SV2
!= ( sK3_SY21 @ SV2 ) ) ) )
= $true )
| ( ( cyclist @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(89,plain,
! [SV3: $i] :
( ( ( grocer @ SV3 )
= $false )
| ( ( ~ ( property1 @ SV3 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( property1 @ SY22 @ honest @ pos )
| ( SV3 != SY22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( person @ ( sK4_SY23 @ SV4 ) )
| ( SV4
!= ( sK4_SY23 @ SV4 ) ) ) )
= $true )
| ( ( grocer @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(91,plain,
( ( ~ ~ ( ~ ( cyclist @ sK5_SY29 )
| ( sK1_SX0 != sK5_SY29 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[81]) ).
thf(92,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( person @ SV5 )
| ~ ( property1 @ SV5 @ honest @ pos ) ) )
= $false )
| ( ( ~ ( property1 @ SV5 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV6: $i] :
( ( ( person @ SV6 )
= $false )
| ( ( ~ ( property1 @ SV6 @ honest @ pos ) )
= $true )
| ( ( ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV7: $i] :
( ( ( cyclist @ SV7 )
= $false )
| ( ( ~ ( property1 @ SV7 @ unhealthy @ pos ) )
= $true )
| ( ( ~ ! [SY26: $i] :
~ ~ ( ~ ( property1 @ SY26 @ dishonest @ pos )
| ( SV7 != SY26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(95,plain,
! [SV8: $i] :
( ( ( person @ SV8 )
= $false )
| ( ( ~ ( property1 @ SV8 @ healthy @ pos ) )
= $true )
| ( ( ~ ~ ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(96,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( property1 @ SV10 @ healthy @ pos )
| ( SV9 != SV10 ) ) )
= $true )
| ( ( grocer @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV1: $i] :
( ( ( ~ ( property1 @ ( sK2_SY20 @ SV1 ) @ industrious @ pos )
| ( SV1
!= ( sK2_SY20 @ SV1 ) ) )
= $false )
| ( ( cyclist @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV2: $i] :
( ( ( ~ ( person @ ( sK3_SY21 @ SV2 ) )
| ( SV2
!= ( sK3_SY21 @ SV2 ) ) )
= $false )
| ( ( cyclist @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV3: $i] :
( ( ( property1 @ SV3 @ industrious @ pos )
= $false )
| ( ( grocer @ SV3 )
= $false )
| ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( property1 @ SY22 @ honest @ pos )
| ( SV3 != SY22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV4: $i] :
( ( ( ~ ( person @ ( sK4_SY23 @ SV4 ) )
| ( SV4
!= ( sK4_SY23 @ SV4 ) ) )
= $false )
| ( ( grocer @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(101,plain,
( ( ~ ( ~ ( cyclist @ sK5_SY29 )
| ( sK1_SX0 != sK5_SY29 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(102,plain,
! [SV5: $i] :
( ( ( ~ ( person @ SV5 )
| ~ ( property1 @ SV5 @ honest @ pos ) )
= $true )
| ( ( ~ ( property1 @ SV5 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(103,plain,
! [SV6: $i] :
( ( ( property1 @ SV6 @ honest @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( ~ ~ ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(104,plain,
! [SV7: $i] :
( ( ( property1 @ SV7 @ unhealthy @ pos )
= $false )
| ( ( cyclist @ SV7 )
= $false )
| ( ( ~ ! [SY26: $i] :
~ ~ ( ~ ( property1 @ SY26 @ dishonest @ pos )
| ( SV7 != SY26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(105,plain,
! [SV8: $i] :
( ( ( property1 @ SV8 @ healthy @ pos )
= $false )
| ( ( person @ SV8 )
= $false )
| ( ( ~ ~ ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(106,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ( property1 @ SV10 @ healthy @ pos )
| ( SV9 != SV10 ) ) )
= $false )
| ( ( grocer @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(107,plain,
! [SV1: $i] :
( ( ( ~ ( property1 @ ( sK2_SY20 @ SV1 ) @ industrious @ pos ) )
= $false )
| ( ( cyclist @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(108,plain,
! [SV1: $i] :
( ( ( SV1
!= ( sK2_SY20 @ SV1 ) )
= $false )
| ( ( cyclist @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(109,plain,
! [SV2: $i] :
( ( ( ~ ( person @ ( sK3_SY21 @ SV2 ) ) )
= $false )
| ( ( cyclist @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(110,plain,
! [SV2: $i] :
( ( ( SV2
!= ( sK3_SY21 @ SV2 ) )
= $false )
| ( ( cyclist @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(111,plain,
! [SV3: $i] :
( ( ( ! [SY22: $i] :
~ ~ ( ~ ( property1 @ SY22 @ honest @ pos )
| ( SV3 != SY22 ) ) )
= $false )
| ( ( grocer @ SV3 )
= $false )
| ( ( property1 @ SV3 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV4: $i] :
( ( ( ~ ( person @ ( sK4_SY23 @ SV4 ) ) )
= $false )
| ( ( grocer @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(113,plain,
! [SV4: $i] :
( ( ( SV4
!= ( sK4_SY23 @ SV4 ) )
= $false )
| ( ( grocer @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(114,plain,
( ( ~ ( cyclist @ sK5_SY29 )
| ( sK1_SX0 != sK5_SY29 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV5: $i] :
( ( ( ~ ( person @ SV5 ) )
= $true )
| ( ( ~ ( property1 @ SV5 @ honest @ pos ) )
= $true )
| ( ( ~ ( property1 @ SV5 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV6: $i] :
( ( ( ~ ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV7: $i] :
( ( ( ! [SY26: $i] :
~ ~ ( ~ ( property1 @ SY26 @ dishonest @ pos )
| ( SV7 != SY26 ) ) )
= $false )
| ( ( cyclist @ SV7 )
= $false )
| ( ( property1 @ SV7 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV8: $i] :
( ( ( ~ ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $false )
| ( ( person @ SV8 )
= $false )
| ( ( property1 @ SV8 @ healthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( property1 @ SV10 @ healthy @ pos )
| ( SV9 != SV10 ) )
= $true )
| ( ( grocer @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(120,plain,
! [SV1: $i] :
( ( ( property1 @ ( sK2_SY20 @ SV1 ) @ industrious @ pos )
= $true )
| ( ( cyclist @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(121,plain,
! [SV1: $i] :
( ( ( SV1
= ( sK2_SY20 @ SV1 ) )
= $true )
| ( ( cyclist @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(122,plain,
! [SV2: $i] :
( ( ( person @ ( sK3_SY21 @ SV2 ) )
= $true )
| ( ( cyclist @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(123,plain,
! [SV2: $i] :
( ( ( SV2
= ( sK3_SY21 @ SV2 ) )
= $true )
| ( ( cyclist @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(124,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( property1 @ ( sK6_SY22 @ SV3 ) @ honest @ pos )
| ( SV3
!= ( sK6_SY22 @ SV3 ) ) ) )
= $false )
| ( ( grocer @ SV3 )
= $false )
| ( ( property1 @ SV3 @ industrious @ pos )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(125,plain,
! [SV4: $i] :
( ( ( person @ ( sK4_SY23 @ SV4 ) )
= $true )
| ( ( grocer @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(126,plain,
! [SV4: $i] :
( ( ( SV4
= ( sK4_SY23 @ SV4 ) )
= $true )
| ( ( grocer @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(127,plain,
( ( ~ ( cyclist @ sK5_SY29 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(128,plain,
( ( sK1_SX0 != sK5_SY29 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(129,plain,
! [SV5: $i] :
( ( ( person @ SV5 )
= $false )
| ( ( ~ ( property1 @ SV5 @ honest @ pos ) )
= $true )
| ( ( ~ ( property1 @ SV5 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(130,plain,
! [SV6: $i] :
( ( ( ! [SY25: $i] :
~ ~ ( ~ ( property1 @ SY25 @ dishonest @ pos )
| ( SV6 != SY25 ) ) )
= $true )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(131,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( property1 @ ( sK7_SY26 @ SV7 ) @ dishonest @ pos )
| ( SV7
!= ( sK7_SY26 @ SV7 ) ) ) )
= $false )
| ( ( cyclist @ SV7 )
= $false )
| ( ( property1 @ SV7 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[117]) ).
thf(132,plain,
! [SV8: $i] :
( ( ( ! [SY27: $i] :
~ ~ ( ~ ( property1 @ SY27 @ unhealthy @ pos )
| ( SV8 != SY27 ) ) )
= $true )
| ( ( person @ SV8 )
= $false )
| ( ( property1 @ SV8 @ healthy @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(133,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( property1 @ SV10 @ healthy @ pos ) )
= $true )
| ( ( SV9 != SV10 )
= $true )
| ( ( grocer @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(134,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( property1 @ ( sK6_SY22 @ SV3 ) @ honest @ pos )
| ( SV3
!= ( sK6_SY22 @ SV3 ) ) ) )
= $true )
| ( ( grocer @ SV3 )
= $false )
| ( ( property1 @ SV3 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(135,plain,
( ( cyclist @ sK5_SY29 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(136,plain,
( ( sK1_SX0 = sK5_SY29 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(137,plain,
! [SV5: $i] :
( ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( ~ ( property1 @ SV5 @ industrious @ pos ) )
= $true )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(138,plain,
! [SV6: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( property1 @ SV11 @ dishonest @ pos )
| ( SV6 != SV11 ) ) )
= $true )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(139,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( property1 @ ( sK7_SY26 @ SV7 ) @ dishonest @ pos )
| ( SV7
!= ( sK7_SY26 @ SV7 ) ) ) )
= $true )
| ( ( cyclist @ SV7 )
= $false )
| ( ( property1 @ SV7 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(140,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( property1 @ SV12 @ unhealthy @ pos )
| ( SV8 != SV12 ) ) )
= $true )
| ( ( person @ SV8 )
= $false )
| ( ( property1 @ SV8 @ healthy @ pos )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(141,plain,
! [SV9: $i,SV10: $i] :
( ( ( property1 @ SV10 @ healthy @ pos )
= $false )
| ( ( SV9 != SV10 )
= $true )
| ( ( grocer @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(142,plain,
! [SV3: $i] :
( ( ( ~ ( property1 @ ( sK6_SY22 @ SV3 ) @ honest @ pos )
| ( SV3
!= ( sK6_SY22 @ SV3 ) ) )
= $false )
| ( ( grocer @ SV3 )
= $false )
| ( ( property1 @ SV3 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV5: $i] :
( ( ( property1 @ SV5 @ industrious @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(144,plain,
! [SV6: $i,SV11: $i] :
( ( ( ~ ( ~ ( property1 @ SV11 @ dishonest @ pos )
| ( SV6 != SV11 ) ) )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(145,plain,
! [SV7: $i] :
( ( ( ~ ( property1 @ ( sK7_SY26 @ SV7 ) @ dishonest @ pos )
| ( SV7
!= ( sK7_SY26 @ SV7 ) ) )
= $false )
| ( ( cyclist @ SV7 )
= $false )
| ( ( property1 @ SV7 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(146,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ( ~ ( property1 @ SV12 @ unhealthy @ pos )
| ( SV8 != SV12 ) ) )
= $false )
| ( ( person @ SV8 )
= $false )
| ( ( property1 @ SV8 @ healthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV10: $i,SV9: $i] :
( ( ( SV9 = SV10 )
= $false )
| ( ( property1 @ SV10 @ healthy @ pos )
= $false )
| ( ( grocer @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV3: $i] :
( ( ( ~ ( property1 @ ( sK6_SY22 @ SV3 ) @ honest @ pos ) )
= $false )
| ( ( grocer @ SV3 )
= $false )
| ( ( property1 @ SV3 @ industrious @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(149,plain,
! [SV3: $i] :
( ( ( SV3
!= ( sK6_SY22 @ SV3 ) )
= $false )
| ( ( grocer @ SV3 )
= $false )
| ( ( property1 @ SV3 @ industrious @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(150,plain,
! [SV5: $i] :
( ( ( ! [SY24: $i] :
~ ~ ( ~ ( property1 @ SY24 @ healthy @ pos )
| ( SV5 != SY24 ) ) )
= $false )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV6: $i,SV11: $i] :
( ( ( ~ ( property1 @ SV11 @ dishonest @ pos )
| ( SV6 != SV11 ) )
= $true )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(152,plain,
! [SV7: $i] :
( ( ( ~ ( property1 @ ( sK7_SY26 @ SV7 ) @ dishonest @ pos ) )
= $false )
| ( ( cyclist @ SV7 )
= $false )
| ( ( property1 @ SV7 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(153,plain,
! [SV7: $i] :
( ( ( SV7
!= ( sK7_SY26 @ SV7 ) )
= $false )
| ( ( cyclist @ SV7 )
= $false )
| ( ( property1 @ SV7 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(154,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ( property1 @ SV12 @ unhealthy @ pos )
| ( SV8 != SV12 ) )
= $true )
| ( ( person @ SV8 )
= $false )
| ( ( property1 @ SV8 @ healthy @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(155,plain,
! [SV3: $i] :
( ( ( property1 @ ( sK6_SY22 @ SV3 ) @ honest @ pos )
= $true )
| ( ( grocer @ SV3 )
= $false )
| ( ( property1 @ SV3 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(156,plain,
! [SV3: $i] :
( ( ( SV3
= ( sK6_SY22 @ SV3 ) )
= $true )
| ( ( grocer @ SV3 )
= $false )
| ( ( property1 @ SV3 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(157,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( property1 @ ( sK8_SY24 @ SV5 ) @ healthy @ pos )
| ( SV5
!= ( sK8_SY24 @ SV5 ) ) ) )
= $false )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ industrious @ pos )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(158,plain,
! [SV6: $i,SV11: $i] :
( ( ( ~ ( property1 @ SV11 @ dishonest @ pos ) )
= $true )
| ( ( SV6 != SV11 )
= $true )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(159,plain,
! [SV7: $i] :
( ( ( property1 @ ( sK7_SY26 @ SV7 ) @ dishonest @ pos )
= $true )
| ( ( cyclist @ SV7 )
= $false )
| ( ( property1 @ SV7 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(160,plain,
! [SV7: $i] :
( ( ( SV7
= ( sK7_SY26 @ SV7 ) )
= $true )
| ( ( cyclist @ SV7 )
= $false )
| ( ( property1 @ SV7 @ unhealthy @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(161,plain,
! [SV8: $i,SV12: $i] :
( ( ( ~ ( property1 @ SV12 @ unhealthy @ pos ) )
= $true )
| ( ( SV8 != SV12 )
= $true )
| ( ( person @ SV8 )
= $false )
| ( ( property1 @ SV8 @ healthy @ pos )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(162,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( property1 @ ( sK8_SY24 @ SV5 ) @ healthy @ pos )
| ( SV5
!= ( sK8_SY24 @ SV5 ) ) ) )
= $true )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(163,plain,
! [SV6: $i,SV11: $i] :
( ( ( property1 @ SV11 @ dishonest @ pos )
= $false )
| ( ( SV6 != SV11 )
= $true )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(164,plain,
! [SV8: $i,SV12: $i] :
( ( ( property1 @ SV12 @ unhealthy @ pos )
= $false )
| ( ( SV8 != SV12 )
= $true )
| ( ( person @ SV8 )
= $false )
| ( ( property1 @ SV8 @ healthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(165,plain,
! [SV5: $i] :
( ( ( ~ ( property1 @ ( sK8_SY24 @ SV5 ) @ healthy @ pos )
| ( SV5
!= ( sK8_SY24 @ SV5 ) ) )
= $false )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(166,plain,
! [SV11: $i,SV6: $i] :
( ( ( SV6 = SV11 )
= $false )
| ( ( property1 @ SV11 @ dishonest @ pos )
= $false )
| ( ( person @ SV6 )
= $false )
| ( ( property1 @ SV6 @ honest @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(167,plain,
! [SV12: $i,SV8: $i] :
( ( ( SV8 = SV12 )
= $false )
| ( ( property1 @ SV12 @ unhealthy @ pos )
= $false )
| ( ( person @ SV8 )
= $false )
| ( ( property1 @ SV8 @ healthy @ pos )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(168,plain,
! [SV5: $i] :
( ( ( ~ ( property1 @ ( sK8_SY24 @ SV5 ) @ healthy @ pos ) )
= $false )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ industrious @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(169,plain,
! [SV5: $i] :
( ( ( SV5
!= ( sK8_SY24 @ SV5 ) )
= $false )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ industrious @ pos )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(170,plain,
! [SV5: $i] :
( ( ( property1 @ ( sK8_SY24 @ SV5 ) @ healthy @ pos )
= $true )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(171,plain,
! [SV5: $i] :
( ( ( SV5
= ( sK8_SY24 @ SV5 ) )
= $true )
| ( ( property1 @ SV5 @ honest @ pos )
= $false )
| ( ( person @ SV5 )
= $false )
| ( ( property1 @ SV5 @ industrious @ pos )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(172,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,171,170,167,166,160,159,156,155,147,136,135,126,125,123,122,121,120]) ).
thf(173,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ129+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Oct 6 14:00:54 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.30
% 0.39/0.30 No.of.Axioms: 0
% 0.39/0.30
% 0.39/0.30 Length.of.Defs: 0
% 0.39/0.30
% 0.39/0.30 Contains.Choice.Funs: false
% 0.39/0.30 ....
% 0.39/0.30
% 0.39/0.30 ********************************
% 0.39/0.30 * All subproblems solved! *
% 0.39/0.30 ********************************
% 0.39/0.30 % SZS status Theorem for /export/starexec/sandbox2/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:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:172,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.39/0.30
% 0.39/0.30 %**** Beginning of derivation protocol ****
% 0.39/0.30 % SZS output start CNFRefutation
% See solution above
% 0.39/0.30
% 0.39/0.30 %**** End of derivation protocol ****
% 0.39/0.30 %**** no. of clauses in derivation: 173 ****
% 0.39/0.30 %**** clause counter: 172 ****
% 0.39/0.30
% 0.39/0.30 % SZS status Theorem for /export/starexec/sandbox2/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:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:172,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------