%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ028-5 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n013.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 3.63s 2.37s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 31 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 126 ( 22 ~; 20 |; 0 &; 84 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(familiar_decl,type,
familiar: $i > $i > $o ).
thf(not_familiar_decl,type,
not_familiar: $i > $i > $o ).
thf(person_decl,type,
person: $i > $o ).
thf(one_decl,type,
one: $i ).
thf(two_decl,type,
two: $i ).
thf(three_decl,type,
three: $i ).
thf(four_decl,type,
four: $i ).
thf(five_decl,type,
five: $i ).
thf(six_decl,type,
six: $i ).
thf(after_decl,type,
after: $i > $i > $o ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ not_familiar ) )
| ~ ( C @ ( B @ not_familiar ) )
| ~ ( B @ ( A @ not_familiar ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',three_not_familiar) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ not_familiar ) )
| ~ ( C @ ( B @ not_familiar ) )
| ~ ( B @ ( A @ not_familiar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,axiom,
six @ ( five @ after ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order5) ).
thf(30,plain,
six @ ( five @ after ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
five @ person,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person5) ).
thf(24,plain,
five @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
six @ person,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person6) ).
thf(25,plain,
six @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
one @ person,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person1) ).
thf(20,plain,
one @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
five @ ( four @ after ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order4) ).
thf(29,plain,
five @ ( four @ after ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(11,axiom,
four @ ( three @ after ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order3) ).
thf(28,plain,
four @ ( three @ after ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
two @ person,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person2) ).
thf(21,plain,
two @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ after ) )
| ~ ( B @ person )
| ~ ( A @ person )
| ( B @ ( A @ not_familiar ) )
| ( B @ ( A @ familiar ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',familiar_or_not) ).
thf(33,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ after ) )
| ~ ( B @ person )
| ~ ( A @ person )
| ( B @ ( A @ not_familiar ) )
| ( B @ ( A @ familiar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,axiom,
three @ person,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person3) ).
thf(22,plain,
three @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
three @ ( two @ after ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order2) ).
thf(27,plain,
three @ ( two @ after ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ familiar ) )
| ~ ( C @ ( B @ familiar ) )
| ~ ( B @ ( A @ familiar ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',three_familiar) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ familiar ) )
| ~ ( C @ ( B @ familiar ) )
| ~ ( B @ ( A @ familiar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ after ) )
| ~ ( C @ ( A @ after ) )
| ( B @ ( A @ after ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ after ) )
| ~ ( C @ ( A @ after ) )
| ( B @ ( A @ after ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
two @ ( one @ after ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order1) ).
thf(26,plain,
two @ ( one @ after ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
four @ person,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person4) ).
thf(23,plain,
four @ person,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(44,plain,
$false,
inference(e,[status(thm)],[17,30,24,25,20,29,28,21,33,22,27,16,31,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ028-5 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.15/0.41 % Computer : n013.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 05:05:06 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.86/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.17 % [INFO] Parsing done (179ms).
% 1.26/1.18 % [INFO] Running in sequential loop mode.
% 1.80/1.59 % [INFO] eprover registered as external prover.
% 1.99/1.60 % [INFO] Scanning for conjecture ...
% 1.99/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 13 axioms. Running axiom selection ...
% 2.16/1.74 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 2.16/1.75 % [INFO] Problem is propositional (TPTP CNF).
% 2.16/1.75 % [INFO] Type checking passed.
% 2.16/1.76 % [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 ...
% 3.63/2.37 % External prover 'e' found a proof!
% 3.63/2.37 % [INFO] Killing All external provers ...
% 3.63/2.37 % Time passed: 1805ms (effective reasoning time: 1180ms)
% 3.63/2.37 % Axioms used in derivation (13): person2, order2, person3, transitivity_of_order, familiar_or_not, order5, order1, person4, order4, order3, person5, person1, person6
% 3.63/2.37 % No. of inferences in proof: 31
% 3.63/2.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1805 ms resp. 1180 ms w/o parsing
% 3.88/2.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.88/2.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------