TSTP Solution File: SYN623-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN623-1 : 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/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 : n020.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 11:11:27 EDT 2023
% Result : Unsatisfiable 20.13s 9.61s
% Output : CNFRefutation 20.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 44
% Syntax : Number of formulae : 105 ( 26 unt; 28 typ; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 185 ( 90 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 17 >; 17 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 114 (; 114 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p8 > p7 > p5 > p3 > p2 > p18 > p17 > p16 > p14 > p12 > p10 > f9 > f6 > f4 > f15 > f13 > f11 > #nlpp > c29 > c28 > c27 > c26 > c25 > c24 > c23 > c22 > c21 > c20 > c19
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c21,type,
c21: $i ).
tff(c26,type,
c26: $i ).
tff(c23,type,
c23: $i ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c22,type,
c22: $i ).
tff(c27,type,
c27: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c25,type,
c25: $i ).
tff(c29,type,
c29: $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(f4,type,
f4: ( $i * $i ) > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c28,type,
c28: $i ).
tff(c19,type,
c19: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c20,type,
c20: $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(c24,type,
c24: $i ).
tff(f_44,axiom,
~ p16(c22,c21),
file(unknown,unknown) ).
tff(f_45,axiom,
p3(c23,f4(c24,c20)),
file(unknown,unknown) ).
tff(f_42,axiom,
p2(c24,c25),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X37] : p3(X37,X37),
file(unknown,unknown) ).
tff(f_86,axiom,
! [X38,X39,X37] :
( p3(X38,X39)
| ~ p3(X37,X38)
| ~ p3(X37,X39) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X44,X45,X46,X47] :
( p3(f4(X44,X45),f4(X46,X47))
| ~ p2(X44,X46)
| ~ p3(X45,X47) ),
file(unknown,unknown) ).
tff(f_41,axiom,
p3(c22,c23),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X30] : p2(X30,X30),
file(unknown,unknown) ).
tff(f_94,axiom,
! [X31,X32,X30] :
( p2(X31,X32)
| ~ p2(X30,X31)
| ~ p2(X30,X32) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X58] : p8(X58,X58),
file(unknown,unknown) ).
tff(f_46,axiom,
p16(f4(c19,c20),c21),
file(unknown,unknown) ).
tff(f_40,axiom,
p18(c26,c25),
file(unknown,unknown) ).
tff(f_220,axiom,
! [X17,X18,X19,X20] :
( p16(f4(X17,X18),X19)
| p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))
| ~ p2(X17,X20)
| ~ p18(c26,X20)
| ~ p16(f4(c19,X18),X19) ),
file(unknown,unknown) ).
tff(f_123,axiom,
! [X21,X22] :
( p16(f4(c25,X21),X22)
| ~ p16(f4(f6(c27,c25),X21),X22) ),
file(unknown,unknown) ).
tff(f_207,axiom,
! [X17,X18,X19,X20] :
( p16(f4(X17,X18),X19)
| ~ p2(X17,X20)
| ~ p18(c26,X20)
| ~ p16(f4(c19,X18),X19)
| ~ p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20)) ),
file(unknown,unknown) ).
tff(f_134,axiom,
! [X13,X14,X15,X16] :
( p16(X13,X14)
| ~ p3(X15,X13)
| ~ p8(X16,X14)
| ~ p16(X15,X16) ),
file(unknown,unknown) ).
tff(c_26,plain,
~ p16(c22,c21),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_28,plain,
p3(c23,f4(c24,c20)),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_24,plain,
p2(c24,c25),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_10,plain,
! [X37_5] : p3(X37_5,X37_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_107,plain,
! [X37_103,X39_104,X38_105] :
( ~ p3(X37_103,X39_104)
| ~ p3(X37_103,X38_105)
| p3(X38_105,X39_104) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_114,plain,
! [X38_105] :
( ~ p3(c23,X38_105)
| p3(X38_105,f4(c24,c20)) ),
inference(resolution,[status(thm)],[c_28,c_107]) ).
tff(c_760,plain,
! [X45_189,X47_190,X44_191,X46_192] :
( ~ p3(X45_189,X47_190)
| ~ p2(X44_191,X46_192)
| p3(f4(X44_191,X45_189),f4(X46_192,X47_190)) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_40,plain,
! [X37_24,X39_23,X38_22] :
( ~ p3(X37_24,X39_23)
| ~ p3(X37_24,X38_22)
| p3(X38_22,X39_23) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_1269,plain,
! [X46_261,X45_260,X44_258,X38_259,X47_262] :
( ~ p3(f4(X44_258,X45_260),X38_259)
| p3(X38_259,f4(X46_261,X47_262))
| ~ p3(X45_260,X47_262)
| ~ p2(X44_258,X46_261) ),
inference(resolution,[status(thm)],[c_760,c_40]) ).
tff(c_2631,plain,
! [X46_349,X47_350,X45_351,X44_352] :
( p3(f4(c24,c20),f4(X46_349,X47_350))
| ~ p3(X45_351,X47_350)
| ~ p2(X44_352,X46_349)
| ~ p3(c23,f4(X44_352,X45_351)) ),
inference(resolution,[status(thm)],[c_114,c_1269]) ).
tff(c_4644,plain,
! [X46_465,X37_466,X44_467] :
( p3(f4(c24,c20),f4(X46_465,X37_466))
| ~ p2(X44_467,X46_465)
| ~ p3(c23,f4(X44_467,X37_466)) ),
inference(resolution,[status(thm)],[c_10,c_2631]) ).
tff(c_4804,plain,
! [X37_470] :
( p3(f4(c24,c20),f4(c25,X37_470))
| ~ p3(c23,f4(c24,X37_470)) ),
inference(resolution,[status(thm)],[c_24,c_4644]) ).
tff(c_127,plain,
! [X37_107,X38_108] :
( ~ p3(X37_107,X38_108)
| p3(X38_108,X37_107) ),
inference(resolution,[status(thm)],[c_10,c_107]) ).
tff(c_134,plain,
p3(f4(c24,c20),c23),
inference(resolution,[status(thm)],[c_28,c_127]) ).
tff(c_155,plain,
! [X38_22] :
( ~ p3(f4(c24,c20),X38_22)
| p3(X38_22,c23) ),
inference(resolution,[status(thm)],[c_134,c_40]) ).
tff(c_4868,plain,
! [X37_471] :
( p3(f4(c25,X37_471),c23)
| ~ p3(c23,f4(c24,X37_471)) ),
inference(resolution,[status(thm)],[c_4804,c_155]) ).
tff(c_116,plain,
! [X37_5,X38_105] :
( ~ p3(X37_5,X38_105)
| p3(X38_105,X37_5) ),
inference(resolution,[status(thm)],[c_10,c_107]) ).
tff(c_5009,plain,
! [X37_476] :
( p3(c23,f4(c25,X37_476))
| ~ p3(c23,f4(c24,X37_476)) ),
inference(resolution,[status(thm)],[c_4868,c_116]) ).
tff(c_22,plain,
p3(c22,c23),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_135,plain,
p3(c23,c22),
inference(resolution,[status(thm)],[c_22,c_127]) ).
tff(c_161,plain,
! [X38_114] :
( ~ p3(c23,X38_114)
| p3(X38_114,c22) ),
inference(resolution,[status(thm)],[c_135,c_40]) ).
tff(c_171,plain,
p3(f4(c24,c20),c22),
inference(resolution,[status(thm)],[c_28,c_161]) ).
tff(c_200,plain,
! [X38_120] :
( ~ p3(c23,X38_120)
| p3(X38_120,f4(c24,c20)) ),
inference(resolution,[status(thm)],[c_28,c_107]) ).
tff(c_219,plain,
! [X38_121] :
( p3(f4(c24,c20),X38_121)
| ~ p3(c23,X38_121) ),
inference(resolution,[status(thm)],[c_200,c_116]) ).
tff(c_466,plain,
! [X38_154,X38_155] :
( ~ p3(f4(c24,c20),X38_154)
| p3(X38_154,X38_155)
| ~ p3(c23,X38_155) ),
inference(resolution,[status(thm)],[c_219,c_40]) ).
tff(c_492,plain,
! [X38_155] :
( p3(c22,X38_155)
| ~ p3(c23,X38_155) ),
inference(resolution,[status(thm)],[c_171,c_466]) ).
tff(c_5458,plain,
! [X37_491] :
( p3(c22,f4(c25,X37_491))
| ~ p3(c23,f4(c24,X37_491)) ),
inference(resolution,[status(thm)],[c_5009,c_492]) ).
tff(c_5527,plain,
p3(c22,f4(c25,c20)),
inference(resolution,[status(thm)],[c_28,c_5458]) ).
tff(c_182,plain,
p3(c22,f4(c24,c20)),
inference(resolution,[status(thm)],[c_171,c_116]) ).
tff(c_333,plain,
! [X38_136] :
( ~ p3(c22,X38_136)
| p3(X38_136,f4(c24,c20)) ),
inference(resolution,[status(thm)],[c_182,c_40]) ).
tff(c_375,plain,
! [X38_142] :
( p3(f4(c24,c20),X38_142)
| ~ p3(c22,X38_142) ),
inference(resolution,[status(thm)],[c_333,c_116]) ).
tff(c_640,plain,
! [X38_174,X38_175] :
( ~ p3(f4(c24,c20),X38_174)
| p3(X38_174,X38_175)
| ~ p3(c22,X38_175) ),
inference(resolution,[status(thm)],[c_375,c_40]) ).
tff(c_667,plain,
! [X38_175] :
( p3(c23,X38_175)
| ~ p3(c22,X38_175) ),
inference(resolution,[status(thm)],[c_134,c_640]) ).
tff(c_12,plain,
! [X30_6] : p2(X30_6,X30_6),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_291,plain,
! [X30_129,X32_130,X31_131] :
( ~ p2(X30_129,X32_130)
| ~ p2(X30_129,X31_131)
| p2(X31_131,X32_130) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_308,plain,
! [X30_133,X31_134] :
( ~ p2(X30_133,X31_134)
| p2(X31_134,X30_133) ),
inference(resolution,[status(thm)],[c_12,c_291]) ).
tff(c_313,plain,
p2(c25,c24),
inference(resolution,[status(thm)],[c_24,c_308]) ).
tff(c_16097,plain,
! [X37_715] :
( p3(f4(c24,c20),f4(c24,X37_715))
| ~ p3(c23,f4(c25,X37_715)) ),
inference(resolution,[status(thm)],[c_313,c_4644]) ).
tff(c_16177,plain,
! [X37_716] :
( p3(f4(c24,X37_716),c23)
| ~ p3(c23,f4(c25,X37_716)) ),
inference(resolution,[status(thm)],[c_16097,c_155]) ).
tff(c_16284,plain,
! [X37_721] :
( p3(c23,f4(c24,X37_721))
| ~ p3(c23,f4(c25,X37_721)) ),
inference(resolution,[status(thm)],[c_16177,c_116]) ).
tff(c_21332,plain,
! [X37_787] :
( p3(c23,f4(c24,X37_787))
| ~ p3(c22,f4(c25,X37_787)) ),
inference(resolution,[status(thm)],[c_667,c_16284]) ).
tff(c_144,plain,
! [X38_22] :
( ~ p3(c23,X38_22)
| p3(X38_22,c22) ),
inference(resolution,[status(thm)],[c_135,c_40]) ).
tff(c_21424,plain,
! [X37_787] :
( p3(f4(c24,X37_787),c22)
| ~ p3(c22,f4(c25,X37_787)) ),
inference(resolution,[status(thm)],[c_21332,c_144]) ).
tff(c_4,plain,
! [X58_2] : p8(X58_2,X58_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_30,plain,
p16(f4(c19,c20),c21),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_20,plain,
p18(c26,c25),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_1032,plain,
! [X18_223,X19_224,X20_225,X17_226] :
( ~ p16(f4(c19,X18_223),X19_224)
| ~ p18(c26,X20_225)
| ~ p2(X17_226,X20_225)
| p16(f4(f6(c27,X20_225),f13(f15(c28,X17_226),X20_225)),f9(f11(c29,X17_226),X20_225))
| p16(f4(X17_226,X18_223),X19_224) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_2389,plain,
! [X20_319,X17_320] :
( ~ p18(c26,X20_319)
| ~ p2(X17_320,X20_319)
| p16(f4(f6(c27,X20_319),f13(f15(c28,X17_320),X20_319)),f9(f11(c29,X17_320),X20_319))
| p16(f4(X17_320,c20),c21) ),
inference(resolution,[status(thm)],[c_30,c_1032]) ).
tff(c_50,plain,
! [X21_37,X22_38] :
( ~ p16(f4(f6(c27,c25),X21_37),X22_38)
| p16(f4(c25,X21_37),X22_38) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_2393,plain,
! [X17_320] :
( p16(f4(c25,f13(f15(c28,X17_320),c25)),f9(f11(c29,X17_320),c25))
| ~ p18(c26,c25)
| ~ p2(X17_320,c25)
| p16(f4(X17_320,c20),c21) ),
inference(resolution,[status(thm)],[c_2389,c_50]) ).
tff(c_4267,plain,
! [X17_452] :
( p16(f4(c25,f13(f15(c28,X17_452),c25)),f9(f11(c29,X17_452),c25))
| ~ p2(X17_452,c25)
| p16(f4(X17_452,c20),c21) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_2393]) ).
tff(c_68,plain,
! [X20_74,X17_71,X18_72,X19_73] :
( ~ p16(f4(X20_74,f13(f15(c28,X17_71),X20_74)),f9(f11(c29,X17_71),X20_74))
| ~ p16(f4(c19,X18_72),X19_73)
| ~ p18(c26,X20_74)
| ~ p2(X17_71,X20_74)
| p16(f4(X17_71,X18_72),X19_73) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_4269,plain,
! [X18_72,X19_73,X17_452] :
( ~ p16(f4(c19,X18_72),X19_73)
| ~ p18(c26,c25)
| p16(f4(X17_452,X18_72),X19_73)
| ~ p2(X17_452,c25)
| p16(f4(X17_452,c20),c21) ),
inference(resolution,[status(thm)],[c_4267,c_68]) ).
tff(c_17165,plain,
! [X18_728,X19_729,X17_730] :
( ~ p16(f4(c19,X18_728),X19_729)
| p16(f4(X17_730,X18_728),X19_729)
| ~ p2(X17_730,c25)
| p16(f4(X17_730,c20),c21) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_4269]) ).
tff(c_17181,plain,
! [X17_731] :
( ~ p2(X17_731,c25)
| p16(f4(X17_731,c20),c21) ),
inference(resolution,[status(thm)],[c_30,c_17165]) ).
tff(c_52,plain,
! [X15_41,X16_42,X14_40,X13_39] :
( ~ p16(X15_41,X16_42)
| ~ p8(X16_42,X14_40)
| ~ p3(X15_41,X13_39)
| p16(X13_39,X14_40) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_71725,plain,
! [X14_1568,X17_1569,X13_1570] :
( ~ p8(c21,X14_1568)
| ~ p3(f4(X17_1569,c20),X13_1570)
| p16(X13_1570,X14_1568)
| ~ p2(X17_1569,c25) ),
inference(resolution,[status(thm)],[c_17181,c_52]) ).
tff(c_71730,plain,
! [X17_1571,X13_1572] :
( ~ p3(f4(X17_1571,c20),X13_1572)
| p16(X13_1572,c21)
| ~ p2(X17_1571,c25) ),
inference(resolution,[status(thm)],[c_4,c_71725]) ).
tff(c_71941,plain,
( p16(c22,c21)
| ~ p2(c24,c25)
| ~ p3(c22,f4(c25,c20)) ),
inference(resolution,[status(thm)],[c_21424,c_71730]) ).
tff(c_72399,plain,
p16(c22,c21),
inference(demodulation,[status(thm),theory(equality)],[c_5527,c_24,c_71941]) ).
tff(c_72401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_72399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN623-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % 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
% 0.19/0.36 % Computer : n020.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Thu Aug 3 17:10:22 EDT 2023
% 0.19/0.36 % CPUTime :
% 20.13/9.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.13/9.62
% 20.13/9.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.13/9.66
% 20.13/9.66 Inference rules
% 20.13/9.66 ----------------------
% 20.13/9.66 #Ref : 0
% 20.13/9.66 #Sup : 14844
% 20.13/9.66 #Fact : 0
% 20.13/9.66 #Define : 0
% 20.13/9.66 #Split : 44
% 20.13/9.66 #Chain : 0
% 20.13/9.66 #Close : 0
% 20.13/9.66
% 20.13/9.66 Ordering : KBO
% 20.13/9.66
% 20.13/9.66 Simplification rules
% 20.13/9.66 ----------------------
% 20.13/9.66 #Subsume : 8570
% 20.13/9.66 #Demod : 8710
% 20.13/9.66 #Tautology : 1801
% 20.13/9.66 #SimpNegUnit : 110
% 20.13/9.66 #BackRed : 0
% 20.13/9.66
% 20.13/9.66 #Partial instantiations: 0
% 20.13/9.66 #Strategies tried : 1
% 20.13/9.66
% 20.13/9.66 Timing (in seconds)
% 20.13/9.66 ----------------------
% 20.13/9.66 Preprocessing : 0.50
% 20.13/9.66 Parsing : 0.28
% 20.13/9.66 CNF conversion : 0.03
% 20.13/9.66 Main loop : 8.09
% 20.13/9.66 Inferencing : 1.74
% 20.13/9.66 Reduction : 2.15
% 20.13/9.66 Demodulation : 1.43
% 20.13/9.66 BG Simplification : 0.07
% 20.13/9.66 Subsumption : 3.72
% 20.13/9.66 Abstraction : 0.12
% 20.13/9.66 MUC search : 0.00
% 20.13/9.66 Cooper : 0.00
% 20.13/9.66 Total : 8.66
% 20.13/9.66 Index Insertion : 0.00
% 20.13/9.66 Index Deletion : 0.00
% 20.13/9.66 Index Matching : 0.00
% 20.13/9.66 BG Taut test : 0.00
%------------------------------------------------------------------------------