%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n011.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 08:21:24 AM UTC 2026
% Result : Theorem 3.64s 2.36s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 34 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 120 ( 2 ~; 0 |; 10 &; 88 @)
% ( 0 <=>; 20 =>; 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 : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 18 !; 14 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(taughtby_decl,type,
taughtby: $i > $i > $o ).
thf(michael_decl,type,
michael: $i ).
thf(victor_decl,type,
victor: $i ).
thf(professor_decl,type,
professor: $i > $o ).
thf(course_decl,type,
course: $i > $o ).
thf(teaches_decl,type,
teaches: $i > $i > $o ).
thf(csc410_decl,type,
csc410: $i ).
thf(coordinatorof_decl,type,
coordinatorof: $i > $i ).
thf(student_decl,type,
student: $i > $o ).
thf(enrolled_decl,type,
enrolled: $i > $i > $o ).
thf(11,axiom,
? [A: $i] : ( A @ course ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',course_type) ).
thf(42,plain,
? [A: $i] : ( A @ course ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(17,axiom,
csc410 @ ( michael @ enrolled ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
thf(52,plain,
csc410 @ ( michael @ enrolled ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(13,axiom,
michael @ student,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_type) ).
thf(46,plain,
michael @ student,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(15,axiom,
( ( csc410 @ coordinatorof )
= victor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).
thf(49,plain,
( ( csc410 @ coordinatorof )
= victor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,conjecture,
victor @ ( michael @ taughtby ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',teaching_conjecture) ).
thf(2,negated_conjecture,
~ ( victor @ ( michael @ taughtby ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(18,plain,
~ ( victor @ ( michael @ taughtby ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ course )
=> ? [B: $i] :
( ( A @ ( B @ teaches ) )
& ( B @ professor ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',course_teaches) ).
thf(23,plain,
! [A: $i] :
( ( A @ course )
=> ? [B: $i] :
( ( A @ ( B @ teaches ) )
& ( B @ professor ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( ( B @ course )
& ( A @ student ) )
=> ( ( B @ ( A @ enrolled ) )
=> ! [C: $i] :
( ( C @ professor )
=> ( ( B @ ( C @ teaches ) )
=> ( C @ ( A @ taughtby ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_taught) ).
thf(47,plain,
! [A: $i,B: $i] :
( ( ( B @ course )
& ( A @ student ) )
=> ( ( B @ ( A @ enrolled ) )
=> ! [C: $i] :
( ( C @ professor )
=> ( ( B @ ( C @ teaches ) )
=> ( C @ ( A @ taughtby ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ course )
=> ( A @ ( A @ coordinatorof @ teaches ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_teaches) ).
thf(28,plain,
! [A: $i] :
( ( A @ course )
=> ( A @ ( A @ coordinatorof @ teaches ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ student )
=> ? [B: $i] :
( ( B @ ( A @ enrolled ) )
& ( B @ course ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_axiom) ).
thf(38,plain,
! [A: $i] :
( ( A @ student )
=> ? [B: $i] :
( ( B @ ( A @ enrolled ) )
& ( B @ course ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ course )
=> ( A @ coordinatorof @ professor ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_of_type) ).
thf(32,plain,
! [A: $i] :
( ( A @ course )
=> ( A @ coordinatorof @ professor ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ course )
=> ? [B: $i] :
( ( A @ ( B @ enrolled ) )
& ( B @ student ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',course_enrolled) ).
thf(34,plain,
! [A: $i] :
( ( A @ course )
=> ? [B: $i] :
( ( A @ ( B @ enrolled ) )
& ( B @ student ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(12,axiom,
? [A: $i] : ( A @ student ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_type) ).
thf(44,plain,
? [A: $i] : ( A @ student ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
csc410 @ course,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',csc410_type) ).
thf(27,plain,
csc410 @ course,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
? [A: $i] : ( A @ professor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',professor_type) ).
thf(30,plain,
? [A: $i] : ( A @ professor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(16,axiom,
victor @ professor,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_type) ).
thf(51,plain,
victor @ professor,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ professor )
=> ? [B: $i] :
( ( B @ ( A @ teaches ) )
& ( B @ course ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',professor_teaches) ).
thf(19,plain,
! [A: $i] :
( ( A @ professor )
=> ? [B: $i] :
( ( B @ ( A @ teaches ) )
& ( B @ course ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(53,plain,
$false,
inference(e,[status(thm)],[42,52,46,49,18,23,47,28,38,32,34,44,27,30,51,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % 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 : n011.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 05:19:00 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
% 0.83/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.17 % [INFO] Parsing done (193ms).
% 1.21/1.18 % [INFO] Running in sequential loop mode.
% 1.85/1.58 % [INFO] eprover registered as external prover.
% 1.85/1.59 % [INFO] Scanning for conjecture ...
% 2.05/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ...
% 2.23/1.74 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 2.23/1.77 % [INFO] Problem is first-order (TPTP FOF).
% 2.23/1.77 % [INFO] Type checking passed.
% 2.23/1.78 % [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 ...
% 3.64/2.35 % External prover 'e' found a proof!
% 3.64/2.36 % [INFO] Killing All external provers ...
% 3.64/2.36 % Time passed: 1809ms (effective reasoning time: 1165ms)
% 3.64/2.36 % 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)>
% 3.64/2.36 % Axioms used in derivation (15): csc410_type, michael_type, student_type, michael_enrolled_csc410_axiom, professor_teaches, student_enrolled_axiom, course_type, coordinator_teaches, coordinator_of_type, student_enrolled_taught, professor_type, victor_type, course_teaches, course_enrolled, victor_coordinator_csc410_axiom
% 3.64/2.36 % No. of inferences in proof: 34
% 3.64/2.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1809 ms resp. 1165 ms w/o parsing
% 3.92/2.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.92/2.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------