TSTP Solution File: SYN563-10 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN563-10 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.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 11:11:18 EDT 2023
% Result : Unsatisfiable 13.26s 5.70s
% Output : CNFRefutation 13.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 69 ( 57 unt; 12 typ; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 7 >; 9 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 64 (; 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ifeq2 > ifeq > p6 > p5 > p2 > #nlpp > f4 > f3 > true > c8 > c7 > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(a,type,
a: $i ).
tff(c8,type,
c8: $i ).
tff(ifeq2,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(p6,type,
p6: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $i ).
tff(c7,type,
c7: $i ).
tff(f4,type,
f4: $i > $i ).
tff(true,type,
true: $i ).
tff(p5,type,
p5: ( $i * $i ) > $i ).
tff(ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(f_59,axiom,
a != b,
file(unknown,unknown) ).
tff(f_26,axiom,
! [A,B,C] : ( ifeq(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( ifeq2(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X22] : ( p6(X22,X22) = true ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X27] : ( ifeq2(p6(c7,X27),true,p6(c7,f3(X27)),true) = true ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X16] : ( p5(f3(f3(X16)),f3(f4(X16))) = true ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X7,X9,X8] : ( ifeq2(p6(X7,X9),true,ifeq2(p5(X9,X8),true,p5(X7,X8),true),true) = true ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [X10,X11] : ( ifeq2(p5(X10,X11),true,p6(f4(X10),X11),true) = true ),
file(unknown,unknown) ).
tff(f_31,axiom,
p2(f4(c7),f4(c8)) = true,
file(unknown,unknown) ).
tff(f_43,axiom,
! [X3,X4] : ( ifeq2(p2(X3,X4),true,p2(f3(X3),f3(X4)),true) = true ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X25,X24,X26,X23] : ( ifeq2(p2(X25,X24),true,ifeq2(p2(X26,X23),true,ifeq2(p6(X26,X25),true,p6(X23,X24),true),true),true) = true ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [X0] : ( p2(X0,X0) = true ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X0,X2,X1] : ( ifeq2(p2(X0,X2),true,ifeq2(p2(X0,X1),true,p2(X1,X2),true),true) = true ),
file(unknown,unknown) ).
tff(f_57,axiom,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file(unknown,unknown) ).
tff(c_40,plain,
b != a,
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_4,plain,
! [A_4,B_5,C_6] : ( ifeq(A_4,A_4,B_5,C_6) = B_5 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( ifeq2(A_1,A_1,B_2,C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_8,plain,
! [X22_8] : ( p6(X22_8,X22_8) = true ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_287,plain,
! [X27_63] : ( ifeq2(p6(c7,X27_63),true,p6(c7,f3(X27_63)),true) = true ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_303,plain,
ifeq2(true,true,p6(c7,f3(c7)),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_8,c_287]) ).
tff(c_310,plain,
p6(c7,f3(c7)) = true,
inference(superposition,[status(thm),theory(equality)],[c_303,c_2]) ).
tff(c_18,plain,
! [X27_14] : ( ifeq2(p6(c7,X27_14),true,p6(c7,f3(X27_14)),true) = true ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_322,plain,
ifeq2(true,true,p6(c7,f3(f3(c7))),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_310,c_18]) ).
tff(c_367,plain,
p6(c7,f3(f3(c7))) = true,
inference(superposition,[status(thm),theory(equality)],[c_322,c_2]) ).
tff(c_14,plain,
! [X16_11] : ( p5(f3(f3(X16_11)),f3(f4(X16_11))) = true ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_424,plain,
! [X7_68,X9_69,X8_70] : ( ifeq2(p6(X7_68,X9_69),true,ifeq2(p5(X9_69,X8_70),true,p5(X7_68,X8_70),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_455,plain,
! [X7_68,X16_11] : ( ifeq2(p6(X7_68,f3(f3(X16_11))),true,ifeq2(true,true,p5(X7_68,f3(f4(X16_11))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_424]) ).
tff(c_2315,plain,
! [X7_111,X16_112] : ( ifeq2(p6(X7_111,f3(f3(X16_112))),true,p5(X7_111,f3(f4(X16_112))),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_455]) ).
tff(c_2328,plain,
ifeq2(true,true,p5(c7,f3(f4(c7))),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_367,c_2315]) ).
tff(c_2343,plain,
p5(c7,f3(f4(c7))) = true,
inference(superposition,[status(thm),theory(equality)],[c_2328,c_2]) ).
tff(c_20,plain,
! [X10_15,X11_16] : ( ifeq2(p5(X10_15,X11_16),true,p6(f4(X10_15),X11_16),true) = true ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_2372,plain,
ifeq2(true,true,p6(f4(c7),f3(f4(c7))),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_2343,c_20]) ).
tff(c_2391,plain,
p6(f4(c7),f3(f4(c7))) = true,
inference(superposition,[status(thm),theory(equality)],[c_2372,c_2]) ).
tff(c_10,plain,
p2(f4(c7),f4(c8)) = true,
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_390,plain,
! [X3_66,X4_67] : ( ifeq2(p2(X3_66,X4_67),true,p2(f3(X3_66),f3(X4_67)),true) = true ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_397,plain,
ifeq2(true,true,p2(f3(f4(c7)),f3(f4(c8))),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_10,c_390]) ).
tff(c_1559,plain,
p2(f3(f4(c7)),f3(f4(c8))) = true,
inference(superposition,[status(thm),theory(equality)],[c_397,c_2]) ).
tff(c_789,plain,
! [X25_86,X24_87,X26_88,X23_89] : ( ifeq2(p2(X25_86,X24_87),true,ifeq2(p2(X26_88,X23_89),true,ifeq2(p6(X26_88,X25_86),true,p6(X23_89,X24_87),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_835,plain,
! [X25_86,X24_87] : ( ifeq2(p2(X25_86,X24_87),true,ifeq2(true,true,ifeq2(p6(f4(c7),X25_86),true,p6(f4(c8),X24_87),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_789]) ).
tff(c_4746,plain,
! [X25_145,X24_146] : ( ifeq2(p2(X25_145,X24_146),true,ifeq2(p6(f4(c7),X25_145),true,p6(f4(c8),X24_146),true),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_835]) ).
tff(c_4783,plain,
ifeq2(true,true,ifeq2(p6(f4(c7),f3(f4(c7))),true,p6(f4(c8),f3(f4(c8))),true),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_1559,c_4746]) ).
tff(c_4830,plain,
p6(f4(c8),f3(f4(c8))) = true,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2391,c_4783]) ).
tff(c_6,plain,
! [X0_7] : ( p2(X0_7,X0_7) = true ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_536,plain,
! [X0_73,X2_74,X1_75] : ( ifeq2(p2(X0_73,X2_74),true,ifeq2(p2(X0_73,X1_75),true,p2(X1_75,X2_74),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_554,plain,
! [X2_74] : ( ifeq2(p2(f4(c7),X2_74),true,ifeq2(true,true,p2(f4(c8),X2_74),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_536]) ).
tff(c_1396,plain,
! [X2_102] : ( ifeq2(p2(f4(c7),X2_102),true,p2(f4(c8),X2_102),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_554]) ).
tff(c_1411,plain,
ifeq2(true,true,p2(f4(c8),f4(c7)),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_6,c_1396]) ).
tff(c_1424,plain,
p2(f4(c8),f4(c7)) = true,
inference(superposition,[status(thm),theory(equality)],[c_1411,c_2]) ).
tff(c_6477,plain,
! [X26_165,X23_166,X0_167] : ( ifeq2(true,true,ifeq2(p2(X26_165,X23_166),true,ifeq2(p6(X26_165,X0_167),true,p6(X23_166,X0_167),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_789]) ).
tff(c_6616,plain,
! [X0_167] : ( ifeq2(true,true,ifeq2(true,true,ifeq2(p6(f4(c8),X0_167),true,p6(f4(c7),X0_167),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_1424,c_6477]) ).
tff(c_16980,plain,
! [X0_247] : ( ifeq2(p6(f4(c8),X0_247),true,p6(f4(c7),X0_247),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6616]) ).
tff(c_17014,plain,
ifeq2(true,true,p6(f4(c7),f3(f4(c8))),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_4830,c_16980]) ).
tff(c_17081,plain,
p6(f4(c7),f3(f4(c8))) = true,
inference(superposition,[status(thm),theory(equality)],[c_17014,c_2]) ).
tff(c_38,plain,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_17090,plain,
ifeq(true,true,a,b) = b,
inference(demodulation,[status(thm),theory(equality)],[c_17081,c_38]) ).
tff(c_17093,plain,
b = a,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17090]) ).
tff(c_17095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_17093]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:10:06 EDT 2023
% 0.14/0.37 % CPUTime :
% 13.26/5.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.45/5.71
% 13.45/5.71 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.45/5.74
% 13.45/5.74 Inference rules
% 13.45/5.74 ----------------------
% 13.45/5.74 #Ref : 0
% 13.45/5.74 #Sup : 4967
% 13.45/5.74 #Fact : 0
% 13.45/5.74 #Define : 0
% 13.45/5.74 #Split : 0
% 13.45/5.74 #Chain : 0
% 13.45/5.74 #Close : 0
% 13.45/5.74
% 13.45/5.74 Ordering : KBO
% 13.45/5.74
% 13.45/5.74 Simplification rules
% 13.45/5.74 ----------------------
% 13.45/5.74 #Subsume : 0
% 13.45/5.74 #Demod : 3796
% 13.45/5.74 #Tautology : 2740
% 13.45/5.74 #SimpNegUnit : 1
% 13.45/5.74 #BackRed : 108
% 13.45/5.74
% 13.45/5.74 #Partial instantiations: 0
% 13.45/5.74 #Strategies tried : 1
% 13.45/5.74
% 13.45/5.74 Timing (in seconds)
% 13.45/5.74 ----------------------
% 13.45/5.74 Preprocessing : 0.47
% 13.45/5.75 Parsing : 0.26
% 13.45/5.75 CNF conversion : 0.02
% 13.45/5.75 Main loop : 4.21
% 13.45/5.75 Inferencing : 1.05
% 13.45/5.75 Reduction : 2.10
% 13.45/5.75 Demodulation : 1.84
% 13.45/5.75 BG Simplification : 0.05
% 13.45/5.75 Subsumption : 0.78
% 13.45/5.75 Abstraction : 0.04
% 13.45/5.75 MUC search : 0.00
% 13.45/5.75 Cooper : 0.00
% 13.45/5.75 Total : 4.74
% 13.45/5.75 Index Insertion : 0.00
% 13.45/5.75 Index Deletion : 0.00
% 13.45/5.75 Index Matching : 0.00
% 13.45/5.75 BG Taut test : 0.00
%------------------------------------------------------------------------------