%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ028-6 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 10:36:40 AM UTC 2026
% Result : Unsatisfiable 20.23s 3.62s
% Output : CNFRefutation 20.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 42
% Syntax : Number of formulae : 164 ( 138 unt; 0 typ; 0 def)
% Number of atoms : 594 ( 162 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 683 ( 95 ~; 106 |; 0 &; 482 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 118 ( 0 ^; 118 !; 0 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_familiar,type,
familiar: $i > $i > $o ).
thf(tp_n1,type,
n1: $i ).
thf(tp_n2,type,
n2: $i ).
thf(tp_n3,type,
n3: $i ).
thf(tp_n4,type,
n4: $i ).
thf(tp_n5,type,
n5: $i ).
thf(tp_n6,type,
n6: $i ).
thf(tp_not_equal,type,
not_equal: $i > $i > $o ).
thf(tp_not_familiar,type,
not_familiar: $i > $i > $o ).
thf(tp_person,type,
person: $i > $o ).
thf(1,axiom,
! [X1: $i,X2: $i] :
( ~ ( not_familiar @ X1 @ X2 )
| ( not_familiar @ X2 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_not_familiar) ).
thf(2,axiom,
! [X1: $i,X2: $i] :
( ~ ( familiar @ X1 @ X2 )
| ( familiar @ X2 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_familiar) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( familiar @ X @ Y )
| ( not_familiar @ X @ Y )
| ~ ( person @ X )
| ~ ( person @ Y )
| ~ ( not_equal @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',familiar_or_not) ).
thf(4,axiom,
not_equal @ n6 @ n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_5) ).
thf(5,axiom,
not_equal @ n6 @ n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_4) ).
thf(6,axiom,
not_equal @ n6 @ n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_3) ).
thf(7,axiom,
not_equal @ n6 @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_2) ).
thf(8,axiom,
not_equal @ n6 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_1) ).
thf(9,axiom,
not_equal @ n5 @ n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_6) ).
thf(10,axiom,
not_equal @ n5 @ n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_4) ).
thf(11,axiom,
not_equal @ n5 @ n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_3) ).
thf(12,axiom,
not_equal @ n5 @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_2) ).
thf(13,axiom,
not_equal @ n5 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_1) ).
thf(14,axiom,
not_equal @ n4 @ n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_6) ).
thf(15,axiom,
not_equal @ n4 @ n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_5) ).
thf(16,axiom,
not_equal @ n4 @ n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_3) ).
thf(17,axiom,
not_equal @ n4 @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_2) ).
thf(18,axiom,
not_equal @ n4 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_1) ).
thf(19,axiom,
not_equal @ n3 @ n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_6) ).
thf(20,axiom,
not_equal @ n3 @ n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_5) ).
thf(21,axiom,
not_equal @ n3 @ n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_4) ).
thf(22,axiom,
not_equal @ n3 @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_2) ).
thf(23,axiom,
not_equal @ n3 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_1) ).
thf(24,axiom,
not_equal @ n2 @ n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_6) ).
thf(25,axiom,
not_equal @ n2 @ n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_5) ).
thf(26,axiom,
not_equal @ n2 @ n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_4) ).
thf(27,axiom,
not_equal @ n2 @ n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_3) ).
thf(28,axiom,
not_equal @ n2 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_1) ).
thf(29,axiom,
not_equal @ n1 @ n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_6) ).
thf(30,axiom,
not_equal @ n1 @ n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_5) ).
thf(31,axiom,
not_equal @ n1 @ n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_4) ).
thf(32,axiom,
not_equal @ n1 @ n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_3) ).
thf(33,axiom,
not_equal @ n1 @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_2) ).
thf(34,axiom,
person @ n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_6) ).
thf(35,axiom,
person @ n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_5) ).
thf(36,axiom,
person @ n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_4) ).
thf(37,axiom,
person @ n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_3) ).
thf(38,axiom,
person @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_2) ).
thf(39,axiom,
person @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_1) ).
thf(40,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(41,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[40]) ).
thf(42,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ~ ( not_familiar @ X1 @ X2 )
| ~ ( not_familiar @ X2 @ X3 )
| ~ ( not_familiar @ X3 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_not_familiar) ).
thf(43,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ~ ( familiar @ X1 @ X2 )
| ~ ( familiar @ X2 @ X3 )
| ~ ( familiar @ X3 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_familiar) ).
thf(44,plain,
$false = $false,
inference(unfold_def,[status(thm)],[41]) ).
thf(45,plain,
( ( ! [X1: $i,X2: $i] :
( ~ ( not_familiar @ X1 @ X2 )
| ( not_familiar @ X2 @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(46,plain,
( ( ! [X1: $i,X2: $i] :
( ~ ( familiar @ X1 @ X2 )
| ( familiar @ X2 @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i] :
( ( familiar @ X @ Y )
| ( not_familiar @ X @ Y )
| ~ ( person @ X )
| ~ ( person @ Y )
| ~ ( not_equal @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(48,plain,
( ( not_equal @ n6 @ n5 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(49,plain,
( ( not_equal @ n6 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(50,plain,
( ( not_equal @ n6 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(51,plain,
( ( not_equal @ n6 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(52,plain,
( ( not_equal @ n6 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(53,plain,
( ( not_equal @ n5 @ n6 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(54,plain,
( ( not_equal @ n5 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(55,plain,
( ( not_equal @ n5 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(56,plain,
( ( not_equal @ n5 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(57,plain,
( ( not_equal @ n5 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(58,plain,
( ( not_equal @ n4 @ n6 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(59,plain,
( ( not_equal @ n4 @ n5 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(60,plain,
( ( not_equal @ n4 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(61,plain,
( ( not_equal @ n4 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(62,plain,
( ( not_equal @ n4 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(63,plain,
( ( not_equal @ n3 @ n6 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(64,plain,
( ( not_equal @ n3 @ n5 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(65,plain,
( ( not_equal @ n3 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(66,plain,
( ( not_equal @ n3 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(67,plain,
( ( not_equal @ n3 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(68,plain,
( ( not_equal @ n2 @ n6 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(69,plain,
( ( not_equal @ n2 @ n5 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(70,plain,
( ( not_equal @ n2 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(71,plain,
( ( not_equal @ n2 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(72,plain,
( ( not_equal @ n2 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(73,plain,
( ( not_equal @ n1 @ n6 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(74,plain,
( ( not_equal @ n1 @ n5 )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(75,plain,
( ( not_equal @ n1 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(76,plain,
( ( not_equal @ n1 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(77,plain,
( ( not_equal @ n1 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(78,plain,
( ( person @ n6 )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(79,plain,
( ( person @ n5 )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(80,plain,
( ( person @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(81,plain,
( ( person @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(82,plain,
( ( person @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(83,plain,
( ( person @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(84,plain,
( ( ! [X1: $i,X2: $i,X3: $i] :
( ~ ( not_familiar @ X1 @ X2 )
| ~ ( not_familiar @ X2 @ X3 )
| ~ ( not_familiar @ X3 @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(85,plain,
( ( ! [X1: $i,X2: $i,X3: $i] :
( ~ ( familiar @ X1 @ X2 )
| ~ ( familiar @ X2 @ X3 )
| ~ ( familiar @ X3 @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(86,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(87,plain,
( ( ! [X1: $i,X2: $i,X3: $i] :
( ~ ( familiar @ X1 @ X2 )
| ~ ( familiar @ X2 @ X3 )
| ~ ( familiar @ X3 @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(88,plain,
( ( ! [X1: $i,X2: $i,X3: $i] :
( ~ ( not_familiar @ X1 @ X2 )
| ~ ( not_familiar @ X2 @ X3 )
| ~ ( not_familiar @ X3 @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(89,plain,
( ( person @ n1 )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(90,plain,
( ( person @ n2 )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(91,plain,
( ( person @ n3 )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(92,plain,
( ( person @ n4 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(93,plain,
( ( person @ n5 )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(94,plain,
( ( person @ n6 )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(95,plain,
( ( not_equal @ n1 @ n2 )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(96,plain,
( ( not_equal @ n1 @ n3 )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(97,plain,
( ( not_equal @ n1 @ n4 )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(98,plain,
( ( not_equal @ n1 @ n5 )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(99,plain,
( ( not_equal @ n1 @ n6 )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(100,plain,
( ( not_equal @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(101,plain,
( ( not_equal @ n2 @ n3 )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(102,plain,
( ( not_equal @ n2 @ n4 )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(103,plain,
( ( not_equal @ n2 @ n5 )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(104,plain,
( ( not_equal @ n2 @ n6 )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(105,plain,
( ( not_equal @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(106,plain,
( ( not_equal @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(107,plain,
( ( not_equal @ n3 @ n4 )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(108,plain,
( ( not_equal @ n3 @ n5 )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(109,plain,
( ( not_equal @ n3 @ n6 )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(110,plain,
( ( not_equal @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(111,plain,
( ( not_equal @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(112,plain,
( ( not_equal @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(113,plain,
( ( not_equal @ n4 @ n5 )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(114,plain,
( ( not_equal @ n4 @ n6 )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(115,plain,
( ( not_equal @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(116,plain,
( ( not_equal @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(117,plain,
( ( not_equal @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(118,plain,
( ( not_equal @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(119,plain,
( ( not_equal @ n5 @ n6 )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(120,plain,
( ( not_equal @ n6 @ n1 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(121,plain,
( ( not_equal @ n6 @ n2 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(122,plain,
( ( not_equal @ n6 @ n3 )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(123,plain,
( ( not_equal @ n6 @ n4 )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(124,plain,
( ( not_equal @ n6 @ n5 )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(125,plain,
( ( ! [X: $i,Y: $i] :
( ( familiar @ X @ Y )
| ( not_familiar @ X @ Y )
| ~ ( person @ X )
| ~ ( person @ Y )
| ~ ( not_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(126,plain,
( ( ! [X1: $i,X2: $i] :
( ~ ( familiar @ X1 @ X2 )
| ( familiar @ X2 @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(127,plain,
( ( ! [X1: $i,X2: $i] :
( ~ ( not_familiar @ X1 @ X2 )
| ( not_familiar @ X2 @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(128,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[86]) ).
thf(129,plain,
! [SV1: $i] :
( ( ! [SY12: $i,SY13: $i] :
( ~ ( familiar @ SV1 @ SY12 )
| ~ ( familiar @ SY12 @ SY13 )
| ~ ( familiar @ SY13 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(130,plain,
! [SV2: $i] :
( ( ! [SY14: $i,SY15: $i] :
( ~ ( not_familiar @ SV2 @ SY14 )
| ~ ( not_familiar @ SY14 @ SY15 )
| ~ ( not_familiar @ SY15 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(131,plain,
! [SV3: $i] :
( ( ! [SY16: $i] :
( ( familiar @ SV3 @ SY16 )
| ( not_familiar @ SV3 @ SY16 )
| ~ ( person @ SV3 )
| ~ ( person @ SY16 )
| ~ ( not_equal @ SV3 @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(132,plain,
! [SV4: $i] :
( ( ! [SY17: $i] :
( ~ ( familiar @ SV4 @ SY17 )
| ( familiar @ SY17 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(133,plain,
! [SV5: $i] :
( ( ! [SY18: $i] :
( ~ ( not_familiar @ SV5 @ SY18 )
| ( not_familiar @ SY18 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(134,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY19: $i] :
( ~ ( familiar @ SV1 @ SV6 )
| ~ ( familiar @ SV6 @ SY19 )
| ~ ( familiar @ SY19 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(136,plain,
! [SV7: $i,SV2: $i] :
( ( ! [SY20: $i] :
( ~ ( not_familiar @ SV2 @ SV7 )
| ~ ( not_familiar @ SV7 @ SY20 )
| ~ ( not_familiar @ SY20 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(137,plain,
! [SV8: $i,SV3: $i] :
( ( ( familiar @ SV3 @ SV8 )
| ( not_familiar @ SV3 @ SV8 )
| ~ ( person @ SV3 )
| ~ ( person @ SV8 )
| ~ ( not_equal @ SV3 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(138,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ( familiar @ SV4 @ SV9 )
| ( familiar @ SV9 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(139,plain,
! [SV10: $i,SV5: $i] :
( ( ~ ( not_familiar @ SV5 @ SV10 )
| ( not_familiar @ SV10 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(140,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ~ ( familiar @ SV1 @ SV6 )
| ~ ( familiar @ SV6 @ SV11 )
| ~ ( familiar @ SV11 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(141,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ~ ( not_familiar @ SV2 @ SV7 )
| ~ ( not_familiar @ SV7 @ SV12 )
| ~ ( not_familiar @ SV12 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(142,plain,
! [SV8: $i,SV3: $i] :
( ( ( familiar @ SV3 @ SV8 )
= $true )
| ( ( ( not_familiar @ SV3 @ SV8 )
| ~ ( person @ SV3 )
| ~ ( person @ SV8 )
| ~ ( not_equal @ SV3 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(143,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ( familiar @ SV4 @ SV9 ) )
= $true )
| ( ( familiar @ SV9 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(144,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( not_familiar @ SV5 @ SV10 ) )
= $true )
| ( ( not_familiar @ SV10 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(145,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( familiar @ SV1 @ SV6 ) )
= $true )
| ( ( ~ ( familiar @ SV6 @ SV11 )
| ~ ( familiar @ SV11 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(146,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( not_familiar @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( not_familiar @ SV7 @ SV12 )
| ~ ( not_familiar @ SV12 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(147,plain,
! [SV8: $i,SV3: $i] :
( ( ( not_familiar @ SV3 @ SV8 )
= $true )
| ( ( ~ ( person @ SV3 )
| ~ ( person @ SV8 )
| ~ ( not_equal @ SV3 @ SV8 ) )
= $true )
| ( ( familiar @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(148,plain,
! [SV9: $i,SV4: $i] :
( ( ( familiar @ SV4 @ SV9 )
= $false )
| ( ( familiar @ SV9 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(149,plain,
! [SV10: $i,SV5: $i] :
( ( ( not_familiar @ SV5 @ SV10 )
= $false )
| ( ( not_familiar @ SV10 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(150,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ( familiar @ SV1 @ SV6 )
= $false )
| ( ( ~ ( familiar @ SV6 @ SV11 )
| ~ ( familiar @ SV11 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(151,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ( not_familiar @ SV2 @ SV7 )
= $false )
| ( ( ~ ( not_familiar @ SV7 @ SV12 )
| ~ ( not_familiar @ SV12 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(152,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( person @ SV3 ) )
= $true )
| ( ( ~ ( person @ SV8 )
| ~ ( not_equal @ SV3 @ SV8 ) )
= $true )
| ( ( not_familiar @ SV3 @ SV8 )
= $true )
| ( ( familiar @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(153,plain,
! [SV1: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( familiar @ SV6 @ SV11 ) )
= $true )
| ( ( ~ ( familiar @ SV11 @ SV1 ) )
= $true )
| ( ( familiar @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(154,plain,
! [SV2: $i,SV12: $i,SV7: $i] :
( ( ( ~ ( not_familiar @ SV7 @ SV12 ) )
= $true )
| ( ( ~ ( not_familiar @ SV12 @ SV2 ) )
= $true )
| ( ( not_familiar @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(155,plain,
! [SV8: $i,SV3: $i] :
( ( ( person @ SV3 )
= $false )
| ( ( ~ ( person @ SV8 )
| ~ ( not_equal @ SV3 @ SV8 ) )
= $true )
| ( ( not_familiar @ SV3 @ SV8 )
= $true )
| ( ( familiar @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(156,plain,
! [SV1: $i,SV11: $i,SV6: $i] :
( ( ( familiar @ SV6 @ SV11 )
= $false )
| ( ( ~ ( familiar @ SV11 @ SV1 ) )
= $true )
| ( ( familiar @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(157,plain,
! [SV2: $i,SV12: $i,SV7: $i] :
( ( ( not_familiar @ SV7 @ SV12 )
= $false )
| ( ( ~ ( not_familiar @ SV12 @ SV2 ) )
= $true )
| ( ( not_familiar @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(158,plain,
! [SV3: $i,SV8: $i] :
( ( ( ~ ( person @ SV8 ) )
= $true )
| ( ( ~ ( not_equal @ SV3 @ SV8 ) )
= $true )
| ( ( person @ SV3 )
= $false )
| ( ( not_familiar @ SV3 @ SV8 )
= $true )
| ( ( familiar @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(159,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( familiar @ SV11 @ SV1 )
= $false )
| ( ( familiar @ SV6 @ SV11 )
= $false )
| ( ( familiar @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(160,plain,
! [SV7: $i,SV2: $i,SV12: $i] :
( ( ( not_familiar @ SV12 @ SV2 )
= $false )
| ( ( not_familiar @ SV7 @ SV12 )
= $false )
| ( ( not_familiar @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(161,plain,
! [SV3: $i,SV8: $i] :
( ( ( person @ SV8 )
= $false )
| ( ( ~ ( not_equal @ SV3 @ SV8 ) )
= $true )
| ( ( person @ SV3 )
= $false )
| ( ( not_familiar @ SV3 @ SV8 )
= $true )
| ( ( familiar @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(162,plain,
! [SV8: $i,SV3: $i] :
( ( ( not_equal @ SV3 @ SV8 )
= $false )
| ( ( person @ SV8 )
= $false )
| ( ( person @ SV3 )
= $false )
| ( ( not_familiar @ SV3 @ SV8 )
= $true )
| ( ( familiar @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[89,162,160,159,149,148,134,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90]) ).
thf(164,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ028-6 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n015.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 14:00:43 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.23/3.62
% 20.23/3.62 No.of.Axioms: 41
% 20.23/3.62
% 20.23/3.62 Length.of.Defs: 0
% 20.23/3.62
% 20.23/3.62 Contains.Choice.Funs: false
% 20.23/3.62 ..
% 20.23/3.62
% 20.23/3.62 ********************************
% 20.23/3.62 * All subproblems solved! *
% 20.23/3.62 ********************************
% 20.23/3.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:41,ps:0,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:163,loop_count:0,foatp_calls:1,translation:fof_full)
% 20.23/3.62
% 20.23/3.62 %**** Beginning of derivation protocol ****
% 20.23/3.62 % SZS output start CNFRefutation
% See solution above
% 20.23/3.62
% 20.23/3.62 %**** End of derivation protocol ****
% 20.23/3.62 %**** no. of clauses in derivation: 164 ****
% 20.23/3.62 %**** clause counter: 163 ****
% 20.23/3.62
% 20.23/3.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:41,ps:0,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:163,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------