%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 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 : n026.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 : Unsatisfiable 6.03s 3.65s
% Output : Refutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 43 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 42 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 240 ( 2 ~; 0 |; 0 &; 238 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 8 con; 0-4 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(taughtby_decl,type,
taughtby: $i > $i > $i ).
thf(michael_decl,type,
michael: $i ).
thf(victor_decl,type,
victor: $i ).
thf(true_decl,type,
true: $i ).
thf(ifeq_decl,type,
ifeq: $i > $i > $i > $i > $i ).
thf(student_decl,type,
student: $i > $i ).
thf(sK7_student_type_A_decl,type,
sK7_student_type_A: $i ).
thf(coordinatorof_decl,type,
coordinatorof: $i > $i ).
thf(csc410_decl,type,
csc410: $i ).
thf(course_decl,type,
course: $i > $i ).
thf(sK2_course_enrolled_Y_decl,type,
sK2_course_enrolled_Y: $i > $i ).
thf(sK5_course_type_A_decl,type,
sK5_course_type_A: $i ).
thf(professor_decl,type,
professor: $i > $i ).
thf(teaches_decl,type,
teaches: $i > $i > $i ).
thf(enrolled_decl,type,
enrolled: $i > $i > $i ).
thf(sK3_professor_teaches_Y_decl,type,
sK3_professor_teaches_Y: $i > $i ).
thf(sK6_professor_type_A_decl,type,
sK6_professor_type_A: $i ).
thf(sK1_course_teaches_Y_decl,type,
sK1_course_teaches_Y: $i > $i ).
thf(sK4_student_enrolled_axiom_Y_decl,type,
sK4_student_enrolled_axiom_Y: $i > $i ).
thf(20,axiom,
( ( csc410 @ ( michael @ enrolled ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
thf(61,plain,
( ( csc410 @ ( michael @ enrolled ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(6,axiom,
( ( sK5_course_type_A @ course )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_type) ).
thf(33,plain,
( ( sK5_course_type_A @ course )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,axiom,
( ( sK6_professor_type_A @ professor )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_type) ).
thf(53,plain,
( ( sK6_professor_type_A @ professor )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(10,axiom,
( ( csc410 @ course )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).
thf(41,plain,
( ( csc410 @ course )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
! [A: $i] :
( ( true @ ( A @ ( A @ sK2_course_enrolled_Y @ enrolled ) @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_enrolled_1) ).
thf(45,plain,
! [A: $i] :
( ( true @ ( A @ ( A @ sK2_course_enrolled_Y @ enrolled ) @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(14,axiom,
! [A: $i] :
( ( true @ ( A @ ( A @ coordinatorof @ teaches ) @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
thf(49,plain,
! [A: $i] :
( ( true @ ( A @ ( A @ coordinatorof @ teaches ) @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
! [A: $i] :
( ( true @ ( A @ coordinatorof @ professor @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_of_type) ).
thf(39,plain,
! [A: $i] :
( ( true @ ( A @ coordinatorof @ professor @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
( ( victor @ professor )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).
thf(35,plain,
( ( victor @ professor )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,axiom,
! [A: $i] :
( ( true @ ( A @ ( A @ sK1_course_teaches_Y @ teaches ) @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_teaches_1) ).
thf(63,plain,
! [A: $i] :
( ( true @ ( A @ ( A @ sK1_course_teaches_Y @ teaches ) @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(5,axiom,
! [A: $i] :
( ( true @ ( A @ sK2_course_enrolled_Y @ student @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_enrolled) ).
thf(31,plain,
! [A: $i] :
( ( true @ ( A @ sK2_course_enrolled_Y @ student @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
! [A: $i] :
( ( true @ ( A @ sK3_professor_teaches_Y @ ( A @ teaches ) @ ( true @ ( A @ professor @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_teaches_1) ).
thf(43,plain,
! [A: $i] :
( ( true @ ( A @ sK3_professor_teaches_Y @ ( A @ teaches ) @ ( true @ ( A @ professor @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(17,axiom,
! [A: $i] :
( ( true @ ( A @ sK1_course_teaches_Y @ professor @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_teaches) ).
thf(55,plain,
! [A: $i] :
( ( true @ ( A @ sK1_course_teaches_Y @ professor @ ( true @ ( A @ course @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(15,axiom,
! [A: $i] :
( ( true @ ( A @ sK3_professor_teaches_Y @ course @ ( true @ ( A @ professor @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_teaches) ).
thf(51,plain,
! [A: $i] :
( ( true @ ( A @ sK3_professor_teaches_Y @ course @ ( true @ ( A @ professor @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(13,axiom,
( ( michael @ student )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).
thf(47,plain,
( ( michael @ student )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( true @ ( true @ ( true @ ( A @ ( C @ taughtby ) @ ( true @ ( C @ student @ ifeq ) ) ) @ ( true @ ( A @ professor @ ifeq ) ) ) @ ( true @ ( B @ course @ ifeq ) ) ) @ ( true @ ( B @ ( C @ enrolled ) @ ifeq ) ) ) @ ( true @ ( B @ ( A @ teaches ) @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( true @ ( true @ ( true @ ( A @ ( C @ taughtby ) @ ( true @ ( C @ student @ ifeq ) ) ) @ ( true @ ( A @ professor @ ifeq ) ) ) @ ( true @ ( B @ course @ ifeq ) ) ) @ ( true @ ( B @ ( C @ enrolled ) @ ifeq ) ) ) @ ( true @ ( B @ ( A @ teaches ) @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( A @ ifeq ) ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( A @ ifeq ) ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,axiom,
! [A: $i] :
( ( true @ ( A @ sK4_student_enrolled_axiom_Y @ course @ ( true @ ( A @ student @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_axiom) ).
thf(57,plain,
! [A: $i] :
( ( true @ ( A @ sK4_student_enrolled_axiom_Y @ course @ ( true @ ( A @ student @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,axiom,
( ( csc410 @ coordinatorof )
= victor ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).
thf(29,plain,
( ( csc410 @ coordinatorof )
= victor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
( ( victor @ ( michael @ taughtby ) )
!= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
thf(22,plain,
( ( victor @ ( michael @ taughtby ) )
!= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(19,axiom,
! [A: $i] :
( ( true @ ( A @ sK4_student_enrolled_axiom_Y @ ( A @ enrolled ) @ ( true @ ( A @ student @ ifeq ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_axiom_1) ).
thf(59,plain,
! [A: $i] :
( ( true @ ( A @ sK4_student_enrolled_axiom_Y @ ( A @ enrolled ) @ ( true @ ( A @ student @ ifeq ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(3,axiom,
( ( sK7_student_type_A @ student )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_type) ).
thf(27,plain,
( ( sK7_student_type_A @ student )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(65,plain,
$false,
inference(e,[status(thm)],[61,33,53,41,45,49,39,35,63,31,43,55,51,47,37,25,57,29,22,59,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % 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
% 0.14/0.39 % Computer : n026.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 05:21:10 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 1.48/1.31 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.03/1.63 % [INFO] Parsing done (311ms).
% 2.03/1.65 % [INFO] Running in sequential loop mode.
% 3.21/2.31 % [INFO] eprover registered as external prover.
% 3.21/2.32 % [INFO] Scanning for conjecture ...
% 3.39/2.47 % [INFO] Found a conjecture (or negated_conjecture) and 20 axioms. Running axiom selection ...
% 3.56/2.58 % [INFO] Axiom selection finished. Selected 20 axioms (removed 0 axioms).
% 3.74/2.63 % [INFO] Problem is propositional (TPTP CNF).
% 3.74/2.65 % [INFO] Type checking passed.
% 3.74/2.66 % [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 ...
% 6.03/3.64 % External prover 'e' found a proof!
% 6.03/3.64 % [INFO] Killing All external provers ...
% 6.03/3.65 % Time passed: 3024ms (effective reasoning time: 1984ms)
% 6.03/3.65 % Axioms used in derivation (20): csc410_type, ifeq_axiom, michael_type, professor_teaches_1, student_type, michael_enrolled_csc410_axiom, course_enrolled_1, student_enrolled_axiom_1, student_enrolled_axiom, course_type, coordinator_teaches, coordinator_of_type, course_teaches_1, professor_teaches, student_enrolled_taught, professor_type, victor_type, course_teaches, course_enrolled, victor_coordinator_csc410_axiom
% 6.03/3.65 % No. of inferences in proof: 43
% 6.03/3.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3024 ms resp. 1984 ms w/o parsing
% 6.41/3.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.41/3.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------