%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ028-6 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n006.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 : Sun Sep 27 08:21:08 AM UTC 2026
% Result : Unsatisfiable 5.77s 3.12s
% Output : Refutation 7.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 41
% Syntax : Number of formulae : 83 ( 73 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 230 ( 22 ~; 20 |; 0 &; 188 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(familiar_decl,type,
familiar: $i > $i > $o ).
thf(not_familiar_decl,type,
not_familiar: $i > $i > $o ).
thf(not_equal_decl,type,
not_equal: $i > $i > $o ).
thf(n5_decl,type,
n5: $i ).
thf(n6_decl,type,
n6: $i ).
thf(n4_decl,type,
n4: $i ).
thf(n1_decl,type,
n1: $i ).
thf(n3_decl,type,
n3: $i ).
thf(n2_decl,type,
n2: $i ).
thf(person_decl,type,
person: $i > $o ).
thf(26,axiom,
n3 @ ( n4 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_3) ).
thf(69,plain,
n3 @ ( n4 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(13,axiom,
n3 @ ( n2 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_3) ).
thf(56,plain,
n3 @ ( n2 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ familiar ) )
| ~ ( C @ ( B @ familiar ) )
| ~ ( B @ ( A @ familiar ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_familiar) ).
thf(42,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ familiar ) )
| ~ ( C @ ( B @ familiar ) )
| ~ ( B @ ( A @ familiar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
n4 @ ( n2 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_4) ).
thf(52,plain,
n4 @ ( n2 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(40,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ not_equal ) )
| ~ ( B @ person )
| ~ ( A @ person )
| ( B @ ( A @ not_familiar ) )
| ( B @ ( A @ familiar ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',familiar_or_not) ).
thf(84,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ not_equal ) )
| ~ ( B @ person )
| ~ ( A @ person )
| ( B @ ( A @ not_familiar ) )
| ( B @ ( A @ familiar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(17,axiom,
n2 @ ( n5 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_2) ).
thf(60,plain,
n2 @ ( n5 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(27,axiom,
n5 @ ( n4 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_5) ).
thf(70,plain,
n5 @ ( n4 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(22,axiom,
n6 @ ( n3 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_6) ).
thf(65,plain,
n6 @ ( n3 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(10,axiom,
n4 @ ( n6 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_4) ).
thf(53,plain,
n4 @ ( n6 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(34,axiom,
n5 @ person,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_5) ).
thf(77,plain,
n5 @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(30,axiom,
n6 @ ( n2 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_6) ).
thf(73,plain,
n6 @ ( n2 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(21,axiom,
n1 @ ( n6 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_1) ).
thf(64,plain,
n1 @ ( n6 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(16,axiom,
n4 @ ( n1 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_4) ).
thf(59,plain,
n4 @ ( n1 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(23,axiom,
n3 @ ( n5 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_3) ).
thf(66,plain,
n3 @ ( n5 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(37,axiom,
n4 @ person,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_4) ).
thf(80,plain,
n4 @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(12,axiom,
n3 @ ( n1 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_3) ).
thf(55,plain,
n3 @ ( n1 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,axiom,
n6 @ ( n4 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_6) ).
thf(51,plain,
n6 @ ( n4 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(36,axiom,
n2 @ person,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_2) ).
thf(79,plain,
n2 @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(3,axiom,
n6 @ ( n5 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_6) ).
thf(46,plain,
n6 @ ( n5 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
n1 @ ( n2 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_1) ).
thf(57,plain,
n1 @ ( n2 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(35,axiom,
n1 @ person,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_1) ).
thf(78,plain,
n1 @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(18,axiom,
n6 @ ( n1 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_6) ).
thf(61,plain,
n6 @ ( n1 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(31,axiom,
n5 @ ( n1 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_5) ).
thf(74,plain,
n5 @ ( n1 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(28,axiom,
n2 @ ( n4 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_2) ).
thf(71,plain,
n2 @ ( n4 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(11,axiom,
n5 @ ( n6 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_5) ).
thf(54,plain,
n5 @ ( n6 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
n1 @ ( n5 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_1) ).
thf(49,plain,
n1 @ ( n5 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(41,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ familiar ) )
| ~ ( B @ ( A @ familiar ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_familiar) ).
thf(86,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ familiar ) )
| ~ ( B @ ( A @ familiar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(38,axiom,
n3 @ person,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_3) ).
thf(81,plain,
n3 @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(33,axiom,
n6 @ person,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_6) ).
thf(76,plain,
n6 @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(5,axiom,
n4 @ ( n5 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_5_4) ).
thf(48,plain,
n4 @ ( n5 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(20,axiom,
n4 @ ( n3 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_4) ).
thf(63,plain,
n4 @ ( n3 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(7,axiom,
n1 @ ( n3 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_1) ).
thf(50,plain,
n1 @ ( n3 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(24,axiom,
n5 @ ( n2 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_2_5) ).
thf(67,plain,
n5 @ ( n2 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(29,axiom,
n2 @ ( n1 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_1_2) ).
thf(72,plain,
n2 @ ( n1 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ not_familiar ) )
| ~ ( C @ ( B @ not_familiar ) )
| ~ ( B @ ( A @ not_familiar ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_not_familiar) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ not_familiar ) )
| ~ ( C @ ( B @ not_familiar ) )
| ~ ( B @ ( A @ not_familiar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(32,axiom,
n2 @ ( n3 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_2) ).
thf(75,plain,
n2 @ ( n3 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(15,axiom,
n3 @ ( n6 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_3) ).
thf(58,plain,
n3 @ ( n6 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(39,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ not_familiar ) )
| ~ ( B @ ( A @ not_familiar ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_not_familiar) ).
thf(82,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ not_familiar ) )
| ~ ( B @ ( A @ not_familiar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(4,axiom,
n1 @ ( n4 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_4_1) ).
thf(47,plain,
n1 @ ( n4 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(25,axiom,
n2 @ ( n6 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_6_2) ).
thf(68,plain,
n2 @ ( n6 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(19,axiom,
n5 @ ( n3 @ not_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_equal_3_5) ).
thf(62,plain,
n5 @ ( n3 @ not_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(261,plain,
$false,
inference(e,[status(thm)],[69,56,42,52,84,60,70,65,53,77,73,64,59,66,80,55,51,79,46,57,78,61,74,71,54,49,86,81,76,48,63,50,67,72,43,75,58,82,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ028-6 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.40 % Computer : n006.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 05:05:40 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.85/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.18 % [INFO] Parsing done (202ms).
% 1.27/1.19 % [INFO] Running in sequential loop mode.
% 2.08/1.60 % [INFO] eprover registered as external prover.
% 2.08/1.61 % [INFO] Scanning for conjecture ...
% 2.27/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 39 axioms. Running axiom selection ...
% 2.27/1.79 % [INFO] Axiom selection finished. Selected 39 axioms (removed 0 axioms).
% 2.45/1.81 % [INFO] Problem is propositional (TPTP CNF).
% 2.45/1.82 % [INFO] Type checking passed.
% 2.45/1.82 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.77/3.12 % External prover 'e' found a proof!
% 5.77/3.12 % [INFO] Killing All external provers ...
% 5.77/3.12 % Time passed: 2576ms (effective reasoning time: 1920ms)
% 5.77/3.12 % Axioms used in derivation (39): not_equal_5_6, not_equal_5_3, person_3, not_equal_6_1, not_equal_1_2, not_equal_2_1, person_4, not_equal_6_4, not_equal_3_5, not_equal_3_1, symmetry_of_familiar, person_5, not_equal_1_4, not_equal_2_5, not_equal_5_2, not_equal_3_6, not_equal_1_5, person_1, not_equal_6_5, not_equal_2_6, not_equal_4_5, not_equal_4_1, not_equal_3_4, not_equal_3_2, symmetry_of_not_familiar, not_equal_5_4, not_equal_4_3, familiar_or_not, not_equal_4_6, not_equal_1_3, not_equal_2_4, not_equal_5_1, not_equal_6_3, not_equal_2_3, person_2, not_equal_1_6, person_6, not_equal_4_2, not_equal_6_2
% 5.77/3.12 % No. of inferences in proof: 83
% 5.77/3.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2576 ms resp. 1920 ms w/o parsing
% 7.07/3.15 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.07/3.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------