TSTP Solution File: LCL163-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL163-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n016.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 10:47:30 EDT 2023
% Result : Unsatisfiable 36.19s 25.17s
% Output : CNFRefutation 36.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 47 ( 39 unt; 8 typ; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 63 (; 63 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ xor > implies > and_star > #nlpp > not > y > x > truth > falsehood
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(truth,type,
truth: $i ).
tff(x,type,
x: $i ).
tff(falsehood,type,
falsehood: $i ).
tff(xor,type,
xor: ( $i * $i ) > $i ).
tff(y,type,
y: $i ).
tff(not,type,
not: $i > $i ).
tff(and_star,type,
and_star: ( $i * $i ) > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_50,axiom,
! [X] : ( xor(X,falsehood) = X ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X] : ( xor(X,X) = falsehood ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X] : ( not(X) = xor(X,truth) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y] : ( xor(X,xor(truth,Y)) = xor(xor(X,truth),Y) ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X,Y] : ( and_star(X,Y) = and_star(Y,X) ),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Y] : ( xor(X,Y) = xor(Y,X) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [X,Y] : ( implies(X,Y) = xor(truth,and_star(X,xor(truth,Y))) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X,Y] : ( and_star(xor(and_star(xor(truth,X),Y),truth),Y) = and_star(xor(and_star(xor(truth,Y),X),truth),X) ),
file(unknown,unknown) ).
tff(f_80,axiom,
implies(implies(x,y),y) != implies(implies(y,x),x),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( xor(X_2,falsehood) = X_2 ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_6,plain,
! [X_3] : ( xor(X_3,X_3) = falsehood ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_2,plain,
! [X_1] : ( xor(X_1,truth) = not(X_1) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_14,plain,
! [X_7,Y_8] : ( xor(xor(X_7,truth),Y_8) = xor(X_7,xor(truth,Y_8)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_433,plain,
! [X_33,Y_34] : ( xor(not(X_33),Y_34) = xor(X_33,xor(truth,Y_34)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14]) ).
tff(c_472,plain,
! [X_33] : ( xor(X_33,xor(truth,truth)) = not(not(X_33)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_433]) ).
tff(c_489,plain,
! [X_33] : ( not(not(X_33)) = X_33 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6,c_472]) ).
tff(c_22,plain,
! [Y_17,X_16] : ( and_star(Y_17,X_16) = and_star(X_16,Y_17) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_136,plain,
! [Y_26,X_27] : ( xor(Y_26,X_27) = xor(X_27,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_187,plain,
! [X_1] : ( xor(truth,X_1) = not(X_1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_136]) ).
tff(c_26,plain,
! [X_18,Y_19] : ( xor(truth,and_star(X_18,xor(truth,Y_19))) = implies(X_18,Y_19) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1570,plain,
! [X_58,Y_59] : ( not(and_star(X_58,not(Y_59))) = implies(X_58,Y_59) ),
inference(demodulation,[status(thm),theory(equality)],[c_187,c_187,c_26]) ).
tff(c_2452,plain,
! [X_76,Y_77] : ( and_star(X_76,not(Y_77)) = not(implies(X_76,Y_77)) ),
inference(superposition,[status(thm),theory(equality)],[c_1570,c_489]) ).
tff(c_2543,plain,
! [Y_77,Y_17] : ( and_star(not(Y_77),Y_17) = not(implies(Y_17,Y_77)) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_2452]) ).
tff(c_1637,plain,
! [X_58,X_33] : ( implies(X_58,not(X_33)) = not(and_star(X_58,X_33)) ),
inference(superposition,[status(thm),theory(equality)],[c_489,c_1570]) ).
tff(c_1611,plain,
! [X_58,Y_59] : ( and_star(X_58,not(Y_59)) = not(implies(X_58,Y_59)) ),
inference(superposition,[status(thm),theory(equality)],[c_1570,c_489]) ).
tff(c_698,plain,
! [X_18,Y_19] : ( not(and_star(X_18,not(Y_19))) = implies(X_18,Y_19) ),
inference(demodulation,[status(thm),theory(equality)],[c_187,c_187,c_26]) ).
tff(c_2079,plain,
! [Y_68,Y_69] : ( not(and_star(not(Y_68),Y_69)) = implies(Y_69,Y_68) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_1570]) ).
tff(c_3693,plain,
! [Y_102,Y_101] : ( implies(not(Y_102),Y_101) = implies(not(Y_101),Y_102) ),
inference(superposition,[status(thm),theory(equality)],[c_698,c_2079]) ).
tff(c_3834,plain,
! [Y_101,X_33] : ( implies(not(Y_101),not(X_33)) = implies(X_33,Y_101) ),
inference(superposition,[status(thm),theory(equality)],[c_489,c_3693]) ).
tff(c_18,plain,
! [Y_12,X_11] : ( xor(Y_12,X_11) = xor(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_16,plain,
! [Y_10,X_9] : ( and_star(xor(and_star(xor(truth,Y_10),X_9),truth),X_9) = and_star(xor(and_star(xor(truth,X_9),Y_10),truth),Y_10) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_29,plain,
! [Y_10,X_9] : ( and_star(Y_10,xor(truth,and_star(xor(truth,X_9),Y_10))) = and_star(X_9,xor(truth,and_star(xor(truth,Y_10),X_9))) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_18,c_22,c_18,c_16]) ).
tff(c_813,plain,
! [Y_10,X_9] : ( and_star(Y_10,not(and_star(not(X_9),Y_10))) = and_star(X_9,not(and_star(not(Y_10),X_9))) ),
inference(demodulation,[status(thm),theory(equality)],[c_187,c_187,c_187,c_187,c_29]) ).
tff(c_1623,plain,
! [Y_10,X_9] : ( not(and_star(Y_10,not(and_star(not(X_9),Y_10)))) = implies(X_9,and_star(not(Y_10),X_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_813,c_1570]) ).
tff(c_110663,plain,
! [Y_472,X_473] : ( not(and_star(Y_472,implies(Y_472,X_473))) = not(and_star(X_473,implies(X_473,Y_472))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1637,c_2543,c_1637,c_2543,c_489,c_1611,c_1623]) ).
tff(c_111428,plain,
! [Y_101,X_33] : ( not(and_star(not(Y_101),implies(X_33,Y_101))) = not(and_star(not(X_33),implies(not(X_33),not(Y_101)))) ),
inference(superposition,[status(thm),theory(equality)],[c_3834,c_110663]) ).
tff(c_111674,plain,
! [Y_101,X_33] : ( implies(implies(Y_101,X_33),X_33) = implies(implies(X_33,Y_101),Y_101) ),
inference(demodulation,[status(thm),theory(equality)],[c_489,c_2543,c_1637,c_2543,c_489,c_2543,c_489,c_1611,c_1637,c_111428]) ).
tff(c_28,plain,
implies(implies(y,x),x) != implies(implies(x,y),y),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_112470,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111674,c_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL163-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:47:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 36.19/25.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.21/25.18
% 36.21/25.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 36.21/25.21
% 36.21/25.21 Inference rules
% 36.21/25.21 ----------------------
% 36.21/25.21 #Ref : 0
% 36.21/25.21 #Sup : 28290
% 36.21/25.21 #Fact : 0
% 36.21/25.21 #Define : 0
% 36.21/25.21 #Split : 0
% 36.21/25.21 #Chain : 0
% 36.21/25.21 #Close : 0
% 36.21/25.21
% 36.21/25.21 Ordering : KBO
% 36.21/25.21
% 36.21/25.21 Simplification rules
% 36.21/25.21 ----------------------
% 36.21/25.21 #Subsume : 897
% 36.21/25.21 #Demod : 63955
% 36.21/25.21 #Tautology : 15318
% 36.21/25.21 #SimpNegUnit : 0
% 36.21/25.21 #BackRed : 12
% 36.21/25.21
% 36.21/25.21 #Partial instantiations: 0
% 36.21/25.21 #Strategies tried : 1
% 36.21/25.21
% 36.21/25.21 Timing (in seconds)
% 36.21/25.21 ----------------------
% 36.21/25.22 Preprocessing : 0.46
% 36.21/25.22 Parsing : 0.23
% 36.21/25.22 CNF conversion : 0.02
% 36.21/25.22 Main loop : 23.68
% 36.21/25.22 Inferencing : 1.80
% 36.21/25.22 Reduction : 19.34
% 36.21/25.22 Demodulation : 18.78
% 36.21/25.22 BG Simplification : 0.24
% 36.21/25.22 Subsumption : 1.85
% 36.21/25.22 Abstraction : 0.45
% 36.21/25.22 MUC search : 0.00
% 36.21/25.22 Cooper : 0.00
% 36.21/25.22 Total : 24.20
% 36.21/25.22 Index Insertion : 0.00
% 36.21/25.22 Index Deletion : 0.00
% 36.21/25.22 Index Matching : 0.00
% 36.21/25.22 BG Taut test : 0.00
%------------------------------------------------------------------------------