%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ131-10 : TPTP v9.0.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 08:25:19 PM UTC 2025
% Result : Unsatisfiable 3.88s 2.00s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ifeq > teaches > taughtby > enrolled > #nlpp > student > sK4_student_enrolled_axiom_Y > sK3_professor_teaches_Y > sK2_course_enrolled_Y > sK1_course_teaches_Y > professor > course > coordinatorof > victor > true > sK7_student_type_A > sK6_professor_type_A > sK5_course_type_A > michael > csc410
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(teaches,type,
teaches: ( $i * $i ) > $i ).
tff(professor,type,
professor: $i > $i ).
tff(sK2_course_enrolled_Y,type,
sK2_course_enrolled_Y: $i > $i ).
tff(sK3_professor_teaches_Y,type,
sK3_professor_teaches_Y: $i > $i ).
tff(coordinatorof,type,
coordinatorof: $i > $i ).
tff(taughtby,type,
taughtby: ( $i * $i ) > $i ).
tff(student,type,
student: $i > $i ).
tff(michael,type,
michael: $i ).
tff(sK1_course_teaches_Y,type,
sK1_course_teaches_Y: $i > $i ).
tff(enrolled,type,
enrolled: ( $i * $i ) > $i ).
tff(sK5_course_type_A,type,
sK5_course_type_A: $i ).
tff(csc410,type,
csc410: $i ).
tff(victor,type,
victor: $i ).
tff(true,type,
true: $i ).
tff(sK7_student_type_A,type,
sK7_student_type_A: $i ).
tff(course,type,
course: $i > $i ).
tff(sK6_professor_type_A,type,
sK6_professor_type_A: $i ).
tff(sK4_student_enrolled_axiom_Y,type,
sK4_student_enrolled_axiom_Y: $i > $i ).
tff(ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(f_56,axiom,
taughtby(michael,victor) != true,
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( ifeq(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_29,axiom,
professor(victor) = true,
file(unknown,unknown) ).
tff(f_54,axiom,
coordinatorof(csc410) = victor,
file(unknown,unknown) ).
tff(f_30,axiom,
course(csc410) = true,
file(unknown,unknown) ).
tff(f_50,axiom,
! [X] : ( ifeq(course(X),true,teaches(coordinatorof(X),X),true) = true ),
file(unknown,unknown) ).
tff(f_28,axiom,
student(michael) = true,
file(unknown,unknown) ).
tff(f_53,axiom,
enrolled(michael,csc410) = true,
file(unknown,unknown) ).
tff(f_52,axiom,
! [Z,Y,X] : ( ifeq(teaches(Z,Y),true,ifeq(enrolled(X,Y),true,ifeq(course(Y),true,ifeq(professor(Z),true,ifeq(student(X),true,taughtby(X,Z),true),true),true),true),true) = true ),
file(unknown,unknown) ).
tff(c_42,plain,
taughtby(michael,victor) != true,
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( ifeq(A_1,A_1,B_2,C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_12,plain,
professor(victor) = true,
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_40,plain,
coordinatorof(csc410) = victor,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_14,plain,
course(csc410) = true,
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_345,plain,
! [X_25] : ( ifeq(course(X_25),true,teaches(coordinatorof(X_25),X_25),true) = true ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_364,plain,
ifeq(true,true,teaches(coordinatorof(csc410),csc410),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_14,c_345]) ).
tff(c_373,plain,
teaches(victor,csc410) = true,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40,c_364]) ).
tff(c_10,plain,
student(michael) = true,
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_38,plain,
enrolled(michael,csc410) = true,
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_593,plain,
! [Z_30,Y_31,X_32] : ( ifeq(teaches(Z_30,Y_31),true,ifeq(enrolled(X_32,Y_31),true,ifeq(course(Y_31),true,ifeq(professor(Z_30),true,ifeq(student(X_32),true,taughtby(X_32,Z_30),true),true),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_639,plain,
! [Z_30] : ( ifeq(teaches(Z_30,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(Z_30),true,ifeq(student(michael),true,taughtby(michael,Z_30),true),true),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_593]) ).
tff(c_805,plain,
! [Z_33] : ( ifeq(teaches(Z_33,csc410),true,ifeq(professor(Z_33),true,taughtby(michael,Z_33),true),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2,c_14,c_10,c_639]) ).
tff(c_815,plain,
ifeq(true,true,ifeq(professor(victor),true,taughtby(michael,victor),true),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_373,c_805]) ).
tff(c_834,plain,
taughtby(michael,victor) = true,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_12,c_815]) ).
tff(c_836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ131-10 : TPTP v9.0.0. Released v7.5.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 8 17:29:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 3.88/2.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.88/2.01
% 3.88/2.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------