%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ131_1 : TPTP v9.3.1. Released v5.0.0.
% 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 : n014.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 08:21:25 AM UTC 2026
% Result : Theorem 3.60s 2.33s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 2 ~; 0 |; 0 &; 46 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 16 !; 8 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(student_type,type,
student: $tType ).
thf(professor_type,type,
professor: $tType ).
thf(course_type,type,
course: $tType ).
thf(michael_decl,type,
michael: student ).
thf(victor_decl,type,
victor: professor ).
thf(csc410_decl,type,
csc410: course ).
thf(enrolled_decl,type,
enrolled: student > course > $o ).
thf(teaches_decl,type,
teaches: professor > course > $o ).
thf(taughtby_decl,type,
taughtby: student > professor > $o ).
thf(coordinatorof_decl,type,
coordinatorof: course > professor ).
thf(4,axiom,
! [A: professor] :
? [B: course] : ( B @ ( A @ teaches ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_teaches) ).
thf(14,plain,
! [A: professor] :
? [B: course] : ( B @ ( A @ teaches ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: course] : ( A @ ( A @ coordinatorof @ teaches ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
thf(20,plain,
! [A: course] : ( A @ ( A @ coordinatorof @ teaches ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
! [A: student,B: course] :
( ( B @ ( A @ enrolled ) )
=> ! [C: professor] :
( ( B @ ( C @ teaches ) )
=> ( C @ ( A @ taughtby ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
thf(22,plain,
! [A: student,B: course] :
( ( B @ ( A @ enrolled ) )
=> ! [C: professor] :
( ( B @ ( C @ teaches ) )
=> ( C @ ( A @ taughtby ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: student] :
? [B: course] : ( B @ ( A @ enrolled ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled) ).
thf(12,plain,
! [A: student] :
? [B: course] : ( B @ ( A @ enrolled ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: course] :
? [B: professor] : ( A @ ( B @ teaches ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_teaches) ).
thf(18,plain,
! [A: course] :
? [B: professor] : ( A @ ( B @ teaches ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: course] :
? [B: student] : ( A @ ( B @ enrolled ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_enrolled) ).
thf(16,plain,
! [A: course] :
? [B: student] : ( A @ ( B @ enrolled ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
victor @ ( michael @ taughtby ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
thf(2,negated_conjecture,
~ ( victor @ ( michael @ taughtby ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ( victor @ ( michael @ taughtby ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
csc410 @ ( michael @ enrolled ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410) ).
thf(24,plain,
csc410 @ ( michael @ enrolled ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
( ( csc410 @ coordinatorof )
= victor ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410) ).
thf(25,plain,
( ( csc410 @ coordinatorof )
= victor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(27,plain,
$false,
inference(e,[status(thm)],[14,20,22,12,18,16,11,24,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131_1 : TPTP v9.3.1. Released v5.0.0.
% 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
% 0.14/0.40 % Computer : n014.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 05:18:47 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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 ...
% 1.25/1.19 % [INFO] Parsing done (192ms).
% 1.41/1.20 % [INFO] Running in sequential loop mode.
% 2.05/1.61 % [INFO] eprover registered as external prover.
% 2.05/1.62 % [INFO] Scanning for conjecture ...
% 2.24/1.71 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 2.24/1.74 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 2.24/1.77 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.24/1.77 % [INFO] Type checking passed.
% 2.24/1.78 % [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 ...
% 3.60/2.32 % External prover 'e' found a proof!
% 3.60/2.32 % [INFO] Killing All external provers ...
% 3.60/2.33 % Time passed: 1777ms (effective reasoning time: 1116ms)
% 3.60/2.33 % Solved by 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)>
% 3.60/2.33 % Axioms used in derivation (8): michael_enrolled_csc410, student_enrolled, coordinator_teaches, professor_teaches, course_teaches, course_enrolled, student_enrolled_taught, victor_coordinator_csc410
% 3.60/2.33 % No. of inferences in proof: 20
% 3.60/2.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1777 ms resp. 1116 ms w/o parsing
% 3.60/2.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.60/2.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------