TSTP Solution File: SYN564-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN564-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n022.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 11:11:19 EDT 2023
% Result : Unsatisfiable 27.71s 16.93s
% Output : CNFRefutation 27.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 46 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 38 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 79 (; 79 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p4 > p2 > p10 > f9 > f8 > f6 > f3 > #nlpp > f7 > f5 > c12 > c11
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(c12,type,
c12: $i ).
tff(f7,type,
f7: $i > $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(f5,type,
f5: $i > $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c11,type,
c11: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f3,type,
f3: ( $i * $i ) > $i ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(f_25,axiom,
! [X23] : p4(X23,X23),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X38,X39] : p4(f8(X38,X39),f6(X38,f7(X39))),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X16,X17] :
( p2(f5(X16),f5(X17))
| ~ p4(X16,X17) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X10,X11,X9] :
( p2(X10,X11)
| ~ p2(X9,X10)
| ~ p2(X9,X11) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [X9] : p2(X9,X9),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X18] : p2(f5(f7(X18)),f5(X18)),
file(unknown,unknown) ).
tff(f_98,axiom,
! [X12,X13,X14,X15] :
( p2(f3(X12,X13),f3(X14,X15))
| ~ p2(X12,X14)
| ~ p2(X13,X15) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X7,X8] : p10(f5(X7),f3(f5(f6(X7,X8)),f5(X8))),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X0,X1,X2,X3] :
( p10(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p10(X2,X3) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X4,X6,X5] :
( p10(f9(X4,X6),X5)
| ~ p10(X4,f3(X5,X6)) ),
file(unknown,unknown) ).
tff(f_61,axiom,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X23_2] : p4(X23_2,X23_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_8,plain,
! [X38_4,X39_5] : p4(f8(X38_4,X39_5),f6(X38_4,f7(X39_5))),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_12,plain,
! [X16_8,X17_9] :
( ~ p4(X16_8,X17_9)
| p2(f5(X16_8),f5(X17_9)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_71,plain,
! [X9_62,X11_63,X10_64] :
( ~ p2(X9_62,X11_63)
| ~ p2(X9_62,X10_64)
| p2(X10_64,X11_63) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_630,plain,
! [X16_144,X10_145,X17_146] :
( ~ p2(f5(X16_144),X10_145)
| p2(X10_145,f5(X17_146))
| ~ p4(X16_144,X17_146) ),
inference(resolution,[status(thm)],[c_12,c_71]) ).
tff(c_872,plain,
! [X17_170,X17_171,X16_172] :
( p2(f5(X17_170),f5(X17_171))
| ~ p4(X16_172,X17_171)
| ~ p4(X16_172,X17_170) ),
inference(resolution,[status(thm)],[c_12,c_630]) ).
tff(c_18887,plain,
! [X17_700,X38_701,X39_702] :
( p2(f5(X17_700),f5(f6(X38_701,f7(X39_702))))
| ~ p4(f8(X38_701,X39_702),X17_700) ),
inference(resolution,[status(thm)],[c_8,c_872]) ).
tff(c_2,plain,
! [X9_1] : p2(X9_1,X9_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_80,plain,
! [X9_1,X10_64] :
( ~ p2(X9_1,X10_64)
| p2(X10_64,X9_1) ),
inference(resolution,[status(thm)],[c_2,c_71]) ).
tff(c_19020,plain,
! [X38_701,X39_702,X17_700] :
( p2(f5(f6(X38_701,f7(X39_702))),f5(X17_700))
| ~ p4(f8(X38_701,X39_702),X17_700) ),
inference(resolution,[status(thm)],[c_18887,c_80]) ).
tff(c_6,plain,
! [X18_3] : p2(f5(f7(X18_3)),f5(X18_3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_32,plain,
! [X13_35,X15_37,X12_34,X14_36] :
( ~ p2(X13_35,X15_37)
| ~ p2(X12_34,X14_36)
| p2(f3(X12_34,X13_35),f3(X14_36,X15_37)) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_20,plain,
! [X7_18,X8_19] : p10(f5(X7_18),f3(f5(f6(X7_18,X8_19)),f5(X8_19))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_329,plain,
! [X2_106,X3_107,X1_108,X0_109] :
( ~ p10(X2_106,X3_107)
| ~ p2(X3_107,X1_108)
| ~ p2(X2_106,X0_109)
| p10(X0_109,X1_108) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_1952,plain,
! [X7_255,X8_256,X1_257,X0_258] :
( ~ p2(f3(f5(f6(X7_255,X8_256)),f5(X8_256)),X1_257)
| ~ p2(f5(X7_255),X0_258)
| p10(X0_258,X1_257) ),
inference(resolution,[status(thm)],[c_20,c_329]) ).
tff(c_14016,plain,
! [X0_599,X7_601,X14_602,X15_600,X8_603] :
( ~ p2(f5(X7_601),X0_599)
| p10(X0_599,f3(X14_602,X15_600))
| ~ p2(f5(X8_603),X15_600)
| ~ p2(f5(f6(X7_601,X8_603)),X14_602) ),
inference(resolution,[status(thm)],[c_32,c_1952]) ).
tff(c_31871,plain,
! [X7_986,X14_987,X15_988,X8_989] :
( p10(f5(X7_986),f3(X14_987,X15_988))
| ~ p2(f5(X8_989),X15_988)
| ~ p2(f5(f6(X7_986,X8_989)),X14_987) ),
inference(resolution,[status(thm)],[c_2,c_14016]) ).
tff(c_73216,plain,
! [X7_1645,X14_1646,X18_1647] :
( p10(f5(X7_1645),f3(X14_1646,f5(X18_1647)))
| ~ p2(f5(f6(X7_1645,f7(X18_1647))),X14_1646) ),
inference(resolution,[status(thm)],[c_6,c_31871]) ).
tff(c_73568,plain,
! [X38_1654,X17_1655,X39_1656] :
( p10(f5(X38_1654),f3(f5(X17_1655),f5(X39_1656)))
| ~ p4(f8(X38_1654,X39_1656),X17_1655) ),
inference(resolution,[status(thm)],[c_19020,c_73216]) ).
tff(c_169,plain,
! [X4_79,X5_80,X6_81] :
( ~ p10(X4_79,f3(X5_80,X6_81))
| p10(f9(X4_79,X6_81),X5_80) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_22,plain,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_173,plain,
~ p10(f5(c11),f3(f5(f8(c11,c12)),f5(c12))),
inference(resolution,[status(thm)],[c_169,c_22]) ).
tff(c_73583,plain,
~ p4(f8(c11,c12),f8(c11,c12)),
inference(resolution,[status(thm)],[c_73568,c_173]) ).
tff(c_73592,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_73583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN564-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n022.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 17:17:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 27.71/16.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.71/16.94
% 27.71/16.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 27.71/16.98
% 27.71/16.98 Inference rules
% 27.71/16.98 ----------------------
% 27.71/16.98 #Ref : 0
% 27.71/16.98 #Sup : 21349
% 27.71/16.98 #Fact : 0
% 27.71/16.98 #Define : 0
% 27.71/16.98 #Split : 2
% 27.71/16.98 #Chain : 0
% 27.71/16.98 #Close : 0
% 27.71/16.98
% 27.71/16.98 Ordering : KBO
% 27.71/16.98
% 27.71/16.98 Simplification rules
% 27.71/16.98 ----------------------
% 27.71/16.98 #Subsume : 3242
% 27.71/16.98 #Demod : 373
% 27.71/16.98 #Tautology : 393
% 27.71/16.98 #SimpNegUnit : 0
% 27.71/16.98 #BackRed : 0
% 27.71/16.98
% 27.71/16.98 #Partial instantiations: 0
% 27.71/16.98 #Strategies tried : 1
% 27.71/16.98
% 27.71/16.98 Timing (in seconds)
% 27.71/16.98 ----------------------
% 27.85/16.98 Preprocessing : 0.53
% 27.85/16.98 Parsing : 0.32
% 27.85/16.98 CNF conversion : 0.03
% 27.85/16.98 Main loop : 15.38
% 27.85/16.98 Inferencing : 1.30
% 27.85/16.98 Reduction : 1.94
% 27.85/16.98 Demodulation : 1.33
% 27.85/16.98 BG Simplification : 0.12
% 27.85/16.98 Subsumption : 11.04
% 27.85/16.98 Abstraction : 0.16
% 27.85/16.98 MUC search : 0.00
% 27.85/16.98 Cooper : 0.00
% 27.85/16.98 Total : 15.97
% 27.85/16.98 Index Insertion : 0.00
% 27.85/16.98 Index Deletion : 0.00
% 27.85/16.98 Index Matching : 0.00
% 27.85/16.98 BG Taut test : 0.00
%------------------------------------------------------------------------------