TSTP Solution File: PUZ131-10 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ131-10 : TPTP v8.1.2. 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 : Tue Aug 22 10:54:15 EDT 2023
% Result : Unsatisfiable 4.03s 2.11s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 28
% Syntax : Number of formulae : 44 ( 25 unt; 19 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 : 18 ( 12 >; 6 *; 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
% 0.07/0.11 % Problem : PUZ131-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.12 % 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
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 3 17:33:43 EDT 2023
% 0.12/0.33 % CPUTime :
% 4.03/2.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/2.12
% 4.03/2.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.03/2.16
% 4.03/2.16 Inference rules
% 4.03/2.16 ----------------------
% 4.03/2.16 #Ref : 0
% 4.03/2.16 #Sup : 255
% 4.03/2.16 #Fact : 0
% 4.03/2.16 #Define : 0
% 4.03/2.16 #Split : 0
% 4.03/2.16 #Chain : 0
% 4.03/2.16 #Close : 0
% 4.03/2.16
% 4.03/2.16 Ordering : KBO
% 4.03/2.16
% 4.03/2.16 Simplification rules
% 4.03/2.16 ----------------------
% 4.03/2.16 #Subsume : 0
% 4.03/2.16 #Demod : 167
% 4.03/2.16 #Tautology : 168
% 4.03/2.16 #SimpNegUnit : 1
% 4.03/2.16 #BackRed : 17
% 4.03/2.16
% 4.03/2.16 #Partial instantiations: 0
% 4.03/2.16 #Strategies tried : 1
% 4.03/2.16
% 4.03/2.16 Timing (in seconds)
% 4.03/2.16 ----------------------
% 4.22/2.16 Preprocessing : 0.46
% 4.22/2.16 Parsing : 0.26
% 4.22/2.16 CNF conversion : 0.02
% 4.22/2.16 Main loop : 0.56
% 4.22/2.16 Inferencing : 0.20
% 4.22/2.16 Reduction : 0.22
% 4.22/2.16 Demodulation : 0.16
% 4.22/2.16 BG Simplification : 0.02
% 4.22/2.16 Subsumption : 0.08
% 4.22/2.16 Abstraction : 0.02
% 4.22/2.16 MUC search : 0.00
% 4.22/2.16 Cooper : 0.00
% 4.22/2.16 Total : 1.08
% 4.22/2.16 Index Insertion : 0.00
% 4.22/2.16 Index Deletion : 0.00
% 4.22/2.16 Index Matching : 0.00
% 4.22/2.16 BG Taut test : 0.00
%------------------------------------------------------------------------------