TSTP Solution File: CAT001-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CAT001-1 : 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/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 : n015.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 10:34:34 EDT 2023
% Result : Unsatisfiable 64.82s 51.53s
% Output : CNFRefutation 64.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of formulae : 101 ( 35 unt; 12 typ; 0 def)
% Number of atoms : 187 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 198 ( 100 ~; 98 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 142 (; 142 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > defined > identity_map > compose > #nlpp > domain > codomain > h > g > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(h,type,
h: $i ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(domain,type,
domain: $i > $i ).
tff(defined,type,
defined: ( $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(identity_map,type,
identity_map: $i > $o ).
tff(g,type,
g: $i ).
tff(codomain,type,
codomain: $i > $i ).
tff(d,type,
d: $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_185,axiom,
h != g,
file(unknown,unknown) ).
tff(f_183,axiom,
product(b,g,d),
file(unknown,unknown) ).
tff(f_136,axiom,
! [X] : identity_map(codomain(X)),
file(unknown,unknown) ).
tff(f_182,axiom,
product(b,h,d),
file(unknown,unknown) ).
tff(f_140,axiom,
! [X] : defined(codomain(X),X),
file(unknown,unknown) ).
tff(f_98,axiom,
! [Y,Z,Yz,X] :
( ~ product(Y,Z,Yz)
| ~ defined(X,Yz)
| defined(X,Y) ),
file(unknown,unknown) ).
tff(f_153,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file(unknown,unknown) ).
tff(f_173,axiom,
product(a,b,c),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X,Y,Z] :
( ~ product(X,Y,Z)
| defined(X,Y) ),
file(unknown,unknown) ).
tff(f_131,axiom,
! [X,Y,Z] :
( ~ defined(X,Y)
| ~ defined(Y,Z)
| ~ identity_map(Y)
| defined(X,Z) ),
file(unknown,unknown) ).
tff(f_144,axiom,
! [X] : product(codomain(X),X,X),
file(unknown,unknown) ).
tff(f_138,axiom,
! [X] : defined(X,domain(X)),
file(unknown,unknown) ).
tff(f_134,axiom,
! [X] : identity_map(domain(X)),
file(unknown,unknown) ).
tff(f_67,axiom,
! [X,Y,Xy,Z] :
( ~ product(X,Y,Xy)
| ~ defined(Xy,Z)
| defined(Y,Z) ),
file(unknown,unknown) ).
tff(f_161,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(Y)
| product(X,Y,X) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file(unknown,unknown) ).
tff(f_90,axiom,
! [Xyz,Z,Yz,X,Y,Xy] :
( ~ product(X,Y,Xy)
| ~ product(Xy,Z,Xyz)
| ~ product(Y,Z,Yz)
| product(X,Yz,Xyz) ),
file(unknown,unknown) ).
tff(f_170,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| ( Z = W ) ),
file(unknown,unknown) ).
tff(f_120,axiom,
! [Xyz,Z,Yz,X,Y,Xy] :
( ~ product(Y,Z,Yz)
| ~ product(X,Yz,Xyz)
| ~ product(X,Y,Xy)
| product(Xy,Z,Xyz) ),
file(unknown,unknown) ).
tff(f_181,axiom,
! [X1,X2,X3] :
( ~ product(c,X1,X2)
| ~ product(c,X3,X2)
| ( X1 = X3 ) ),
file(unknown,unknown) ).
tff(c_46,plain,
h != g,
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_44,plain,
product(b,g,d),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_22,plain,
! [X_40] : identity_map(codomain(X_40)),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_42,plain,
product(b,h,d),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_26,plain,
! [X_42] : defined(codomain(X_42),X_42),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_188,plain,
! [X_80,Y_81,Yz_82,Z_83] :
( defined(X_80,Y_81)
| ~ defined(X_80,Yz_82)
| ~ product(Y_81,Z_83,Yz_82) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_1189,plain,
! [X_150,Y_151,Z_152] :
( defined(codomain(X_150),Y_151)
| ~ product(Y_151,Z_152,X_150) ),
inference(resolution,[status(thm)],[c_26,c_188]) ).
tff(c_1222,plain,
defined(codomain(d),b),
inference(resolution,[status(thm)],[c_42,c_1189]) ).
tff(c_32,plain,
! [X_45,Y_46] :
( product(X_45,Y_46,Y_46)
| ~ identity_map(X_45)
| ~ defined(X_45,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_38,plain,
product(a,b,c),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_53,plain,
! [X_62,Y_63,Z_64] :
( defined(X_62,Y_63)
| ~ product(X_62,Y_63,Z_64) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_74,plain,
defined(a,b),
inference(resolution,[status(thm)],[c_38,c_53]) ).
tff(c_843,plain,
! [Y_137,Z_138] :
( defined(a,Y_137)
| ~ product(Y_137,Z_138,b) ),
inference(resolution,[status(thm)],[c_74,c_188]) ).
tff(c_2212,plain,
! [X_196] :
( defined(a,X_196)
| ~ identity_map(X_196)
| ~ defined(X_196,b) ),
inference(resolution,[status(thm)],[c_32,c_843]) ).
tff(c_2214,plain,
( defined(a,codomain(d))
| ~ identity_map(codomain(d)) ),
inference(resolution,[status(thm)],[c_1222,c_2212]) ).
tff(c_2224,plain,
defined(a,codomain(d)),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_2214]) ).
tff(c_285,plain,
! [X_90,Z_91,Y_92] :
( defined(X_90,Z_91)
| ~ identity_map(Y_92)
| ~ defined(Y_92,Z_91)
| ~ defined(X_90,Y_92) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_295,plain,
! [X_90,X_42] :
( defined(X_90,X_42)
| ~ identity_map(codomain(X_42))
| ~ defined(X_90,codomain(X_42)) ),
inference(resolution,[status(thm)],[c_26,c_285]) ).
tff(c_302,plain,
! [X_90,X_42] :
( defined(X_90,X_42)
| ~ defined(X_90,codomain(X_42)) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_295]) ).
tff(c_2255,plain,
defined(a,d),
inference(resolution,[status(thm)],[c_2224,c_302]) ).
tff(c_30,plain,
! [X_44] : product(codomain(X_44),X_44,X_44),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_24,plain,
! [X_41] : defined(X_41,domain(X_41)),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_20,plain,
! [X_39] : identity_map(domain(X_39)),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_240,plain,
! [Y_85,Z_86,Xy_87,X_88] :
( defined(Y_85,Z_86)
| ~ defined(Xy_87,Z_86)
| ~ product(X_88,Y_85,Xy_87) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_952,plain,
! [Y_143,X_144,X_145] :
( defined(Y_143,domain(X_144))
| ~ product(X_145,Y_143,X_144) ),
inference(resolution,[status(thm)],[c_24,c_240]) ).
tff(c_978,plain,
defined(b,domain(c)),
inference(resolution,[status(thm)],[c_38,c_952]) ).
tff(c_34,plain,
! [X_47,Y_48] :
( product(X_47,Y_48,X_47)
| ~ identity_map(Y_48)
| ~ defined(X_47,Y_48) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_75,plain,
defined(b,g),
inference(resolution,[status(thm)],[c_44,c_53]) ).
tff(c_929,plain,
! [Y_141,X_142] :
( defined(Y_141,g)
| ~ product(X_142,Y_141,b) ),
inference(resolution,[status(thm)],[c_75,c_240]) ).
tff(c_1554,plain,
! [Y_171] :
( defined(Y_171,g)
| ~ identity_map(Y_171)
| ~ defined(b,Y_171) ),
inference(resolution,[status(thm)],[c_34,c_929]) ).
tff(c_1559,plain,
( defined(domain(c),g)
| ~ identity_map(domain(c)) ),
inference(resolution,[status(thm)],[c_978,c_1554]) ).
tff(c_1576,plain,
defined(domain(c),g),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_1559]) ).
tff(c_18,plain,
! [X_36,Z_38,Y_37] :
( defined(X_36,Z_38)
| ~ identity_map(Y_37)
| ~ defined(Y_37,Z_38)
| ~ defined(X_36,Y_37) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_1593,plain,
! [X_36] :
( defined(X_36,g)
| ~ identity_map(domain(c))
| ~ defined(X_36,domain(c)) ),
inference(resolution,[status(thm)],[c_1576,c_18]) ).
tff(c_1622,plain,
! [X_172] :
( defined(X_172,g)
| ~ defined(X_172,domain(c)) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_1593]) ).
tff(c_1647,plain,
defined(c,g),
inference(resolution,[status(thm)],[c_24,c_1622]) ).
tff(c_12,plain,
! [X_24,Y_21,Yz_23,Z_22] :
( defined(X_24,Y_21)
| ~ defined(X_24,Yz_23)
| ~ product(Y_21,Z_22,Yz_23) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_1746,plain,
! [Y_177,Z_178] :
( defined(c,Y_177)
| ~ product(Y_177,Z_178,g) ),
inference(resolution,[status(thm)],[c_1647,c_12]) ).
tff(c_1766,plain,
defined(c,codomain(g)),
inference(resolution,[status(thm)],[c_30,c_1746]) ).
tff(c_695,plain,
! [Y_125,Z_126] :
( defined(b,Y_125)
| ~ product(Y_125,Z_126,g) ),
inference(resolution,[status(thm)],[c_75,c_188]) ).
tff(c_715,plain,
defined(b,codomain(g)),
inference(resolution,[status(thm)],[c_30,c_695]) ).
tff(c_73,plain,
defined(b,h),
inference(resolution,[status(thm)],[c_42,c_53]) ).
tff(c_803,plain,
! [Y_135,X_136] :
( defined(Y_135,h)
| ~ product(X_136,Y_135,b) ),
inference(resolution,[status(thm)],[c_73,c_240]) ).
tff(c_2653,plain,
! [Y_218] :
( defined(Y_218,h)
| ~ identity_map(Y_218)
| ~ defined(b,Y_218) ),
inference(resolution,[status(thm)],[c_34,c_803]) ).
tff(c_2660,plain,
( defined(codomain(g),h)
| ~ identity_map(codomain(g)) ),
inference(resolution,[status(thm)],[c_715,c_2653]) ).
tff(c_2676,plain,
defined(codomain(g),h),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_2660]) ).
tff(c_2689,plain,
! [X_36] :
( defined(X_36,h)
| ~ identity_map(codomain(g))
| ~ defined(X_36,codomain(g)) ),
inference(resolution,[status(thm)],[c_2676,c_18]) ).
tff(c_2704,plain,
! [X_219] :
( defined(X_219,h)
| ~ defined(X_219,codomain(g)) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_2689]) ).
tff(c_2724,plain,
defined(c,h),
inference(resolution,[status(thm)],[c_1766,c_2704]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( product(X_1,Y_2,compose(X_1,Y_2))
| ~ defined(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_738,plain,
! [Xy_127,Yz_129,Xyz_131,X_130,Z_128,Y_132] :
( product(X_130,Yz_129,Xyz_131)
| ~ product(Y_132,Z_128,Yz_129)
| ~ product(Xy_127,Z_128,Xyz_131)
| ~ product(X_130,Y_132,Xy_127) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_3227,plain,
! [X_245,Xyz_246,Xy_247] :
( product(X_245,d,Xyz_246)
| ~ product(Xy_247,h,Xyz_246)
| ~ product(X_245,b,Xy_247) ),
inference(resolution,[status(thm)],[c_42,c_738]) ).
tff(c_38419,plain,
! [X_805,X_806] :
( product(X_805,d,compose(X_806,h))
| ~ product(X_805,b,X_806)
| ~ defined(X_806,h) ),
inference(resolution,[status(thm)],[c_2,c_3227]) ).
tff(c_125,plain,
! [Z_75,W_76,X_77,Y_78] :
( ( Z_75 = W_76 )
| ~ product(X_77,Y_78,W_76)
| ~ product(X_77,Y_78,Z_75) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_143,plain,
! [X_1,Y_2,Z_75] :
( ( compose(X_1,Y_2) = Z_75 )
| ~ product(X_1,Y_2,Z_75)
| ~ defined(X_1,Y_2) ),
inference(resolution,[status(thm)],[c_2,c_125]) ).
tff(c_338170,plain,
! [X_2443,X_2442] :
( ( compose(X_2443,d) = compose(X_2442,h) )
| ~ defined(X_2443,d)
| ~ product(X_2443,b,X_2442)
| ~ defined(X_2442,h) ),
inference(resolution,[status(thm)],[c_38419,c_143]) ).
tff(c_338394,plain,
( ( compose(c,h) = compose(a,d) )
| ~ defined(a,d)
| ~ defined(c,h) ),
inference(resolution,[status(thm)],[c_38,c_338170]) ).
tff(c_338521,plain,
compose(c,h) = compose(a,d),
inference(demodulation,[status(thm),theory(equality)],[c_2724,c_2255,c_338394]) ).
tff(c_338720,plain,
( product(c,h,compose(a,d))
| ~ defined(c,h) ),
inference(superposition,[status(thm),theory(equality)],[c_338521,c_2]) ).
tff(c_338854,plain,
product(c,h,compose(a,d)),
inference(demodulation,[status(thm),theory(equality)],[c_2724,c_338720]) ).
tff(c_562,plain,
! [Xy_117,X_119,Yz_118,Z_116,Xyz_120,Y_121] :
( product(Xy_117,Z_116,Xyz_120)
| ~ product(X_119,Y_121,Xy_117)
| ~ product(X_119,Yz_118,Xyz_120)
| ~ product(Y_121,Z_116,Yz_118) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_3969,plain,
! [Z_283,Xyz_284,Yz_285] :
( product(c,Z_283,Xyz_284)
| ~ product(a,Yz_285,Xyz_284)
| ~ product(b,Z_283,Yz_285) ),
inference(resolution,[status(thm)],[c_38,c_562]) ).
tff(c_30079,plain,
! [Z_734,Y_735] :
( product(c,Z_734,compose(a,Y_735))
| ~ product(b,Z_734,Y_735)
| ~ defined(a,Y_735) ),
inference(resolution,[status(thm)],[c_2,c_3969]) ).
tff(c_40,plain,
! [X3_55,X1_53,X2_54] :
( ( X3_55 = X1_53 )
| ~ product(c,X3_55,X2_54)
| ~ product(c,X1_53,X2_54) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_30217,plain,
! [Z_734,X1_53,Y_735] :
( ( Z_734 = X1_53 )
| ~ product(c,X1_53,compose(a,Y_735))
| ~ product(b,Z_734,Y_735)
| ~ defined(a,Y_735) ),
inference(resolution,[status(thm)],[c_30079,c_40]) ).
tff(c_339004,plain,
! [Z_734] :
( ( h = Z_734 )
| ~ product(b,Z_734,d)
| ~ defined(a,d) ),
inference(resolution,[status(thm)],[c_338854,c_30217]) ).
tff(c_347705,plain,
! [Z_2455] :
( ( h = Z_2455 )
| ~ product(b,Z_2455,d) ),
inference(demodulation,[status(thm),theory(equality)],[c_2255,c_339004]) ).
tff(c_347755,plain,
h = g,
inference(resolution,[status(thm)],[c_44,c_347705]) ).
tff(c_347775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_347755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 18:06:59 EDT 2023
% 0.12/0.34 % CPUTime :
% 64.82/51.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.82/51.55
% 64.82/51.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 64.82/51.59
% 64.82/51.59 Inference rules
% 64.82/51.59 ----------------------
% 64.82/51.59 #Ref : 0
% 64.82/51.59 #Sup : 72018
% 64.82/51.59 #Fact : 0
% 64.82/51.59 #Define : 0
% 64.82/51.59 #Split : 60
% 64.82/51.59 #Chain : 0
% 64.82/51.59 #Close : 0
% 64.82/51.59
% 64.82/51.59 Ordering : KBO
% 64.82/51.59
% 64.82/51.59 Simplification rules
% 64.82/51.59 ----------------------
% 64.82/51.59 #Subsume : 39001
% 64.82/51.59 #Demod : 59427
% 64.82/51.59 #Tautology : 8695
% 64.82/51.59 #SimpNegUnit : 3667
% 64.82/51.59 #BackRed : 95
% 64.82/51.59
% 64.82/51.59 #Partial instantiations: 0
% 64.82/51.59 #Strategies tried : 1
% 64.82/51.59
% 64.82/51.59 Timing (in seconds)
% 64.82/51.59 ----------------------
% 64.82/51.59 Preprocessing : 0.45
% 64.82/51.59 Parsing : 0.24
% 64.82/51.59 CNF conversion : 0.03
% 64.82/51.59 Main loop : 50.09
% 64.82/51.59 Inferencing : 5.15
% 64.82/51.59 Reduction : 15.69
% 64.82/51.59 Demodulation : 10.56
% 64.82/51.59 BG Simplification : 0.21
% 64.82/51.59 Subsumption : 25.06
% 64.82/51.59 Abstraction : 0.44
% 64.82/51.59 MUC search : 0.00
% 64.82/51.59 Cooper : 0.00
% 64.82/51.59 Total : 50.61
% 64.82/51.59 Index Insertion : 0.00
% 64.82/51.59 Index Deletion : 0.00
% 64.82/51.59 Index Matching : 0.00
% 64.82/51.59 BG Taut test : 0.00
%------------------------------------------------------------------------------