TSTP Solution File: SYO617-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 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 : n003.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 11:18:15 EDT 2023
% Result : Unsatisfiable 6.53s 2.63s
% Output : CNFRefutation 6.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 82 ( 34 unt; 8 typ; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 133 ( 77 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 143 (; 143 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ le > eq > max > #nlpp > s > f > a2 > a1 > a0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(le,type,
le: ( $i * $i ) > $o ).
tff(s,type,
s: $i > $i ).
tff(f,type,
f: $i > $i ).
tff(a0,type,
a0: $i ).
tff(a2,type,
a2: $i ).
tff(max,type,
max: ( $i * $i ) > $i ).
tff(eq,type,
eq: ( $i * $i ) > $o ).
tff(f_41,axiom,
! [A] :
( eq(f(A),a0)
| eq(f(A),a1)
| eq(f(A),a2) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A] : le(A,A),
file(unknown,unknown) ).
tff(f_30,axiom,
! [A,B,C] :
( ~ le(max(A,B),C)
| le(A,C) ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [A0,A1] :
( ~ eq(f(A0),a2)
| ~ eq(f(A1),a2)
| ~ le(s(A0),A1) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A,B,C] :
( ~ le(max(A,B),C)
| le(B,C) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [A0,A1] :
( ~ eq(f(A0),a1)
| ~ eq(f(A1),a1)
| ~ le(s(A0),A1) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A0,A1] :
( ~ eq(f(A0),a0)
| ~ eq(f(A1),a0)
| ~ le(s(A0),A1) ),
file(unknown,unknown) ).
tff(c_8,plain,
! [A_8] :
( eq(f(A_8),a2)
| eq(f(A_8),a1)
| eq(f(A_8),a0) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_2,plain,
! [A_1] : le(A_1,A_1),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_16,plain,
! [A_16,C_17,B_18] :
( le(A_16,C_17)
| ~ le(max(A_16,B_18),C_17) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_21,plain,
! [A_16,B_18] : le(A_16,max(A_16,B_18)),
inference(resolution,[status(thm)],[c_2,c_16]) ).
tff(c_114,plain,
! [A0_37,A1_38] :
( ~ le(s(A0_37),A1_38)
| ~ eq(f(A1_38),a2)
| ~ eq(f(A0_37),a2) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_423,plain,
! [A0_82,B_83] :
( ~ eq(f(max(s(A0_82),B_83)),a2)
| ~ eq(f(A0_82),a2) ),
inference(resolution,[status(thm)],[c_21,c_114]) ).
tff(c_1249,plain,
! [A0_291,B_292] :
( ~ eq(f(A0_291),a2)
| eq(f(max(s(A0_291),B_292)),a1)
| eq(f(max(s(A0_291),B_292)),a0) ),
inference(resolution,[status(thm)],[c_8,c_423]) ).
tff(c_34,plain,
! [B_24,C_25,A_26] :
( le(B_24,C_25)
| ~ le(max(A_26,B_24),C_25) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_66,plain,
! [B_29,A_30] : le(B_29,max(A_30,B_29)),
inference(resolution,[status(thm)],[c_2,c_34]) ).
tff(c_6,plain,
! [B_6,C_7,A_5] :
( le(B_6,C_7)
| ~ le(max(A_5,B_6),C_7) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_98,plain,
! [B_34,A_35,A_36] : le(B_34,max(A_35,max(A_36,B_34))),
inference(resolution,[status(thm)],[c_66,c_6]) ).
tff(c_12,plain,
! [A0_11,A1_12] :
( ~ le(s(A0_11),A1_12)
| ~ eq(f(A1_12),a1)
| ~ eq(f(A0_11),a1) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_111,plain,
! [A_35,A_36,A0_11] :
( ~ eq(f(max(A_35,max(A_36,s(A0_11)))),a1)
| ~ eq(f(A0_11),a1) ),
inference(resolution,[status(thm)],[c_98,c_12]) ).
tff(c_2706,plain,
! [A0_676,A0_677,A_678] :
( ~ eq(f(A0_676),a1)
| ~ eq(f(A0_677),a2)
| eq(f(max(s(A0_677),max(A_678,s(A0_676)))),a0) ),
inference(resolution,[status(thm)],[c_1249,c_111]) ).
tff(c_4,plain,
! [A_2,C_4,B_3] :
( le(A_2,C_4)
| ~ le(max(A_2,B_3),C_4) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_145,plain,
! [A_39,A_40,B_41] : le(A_39,max(A_40,max(A_39,B_41))),
inference(resolution,[status(thm)],[c_66,c_4]) ).
tff(c_366,plain,
! [A_72,A_73,B_74,B_75] : le(A_72,max(A_73,max(max(A_72,B_74),B_75))),
inference(resolution,[status(thm)],[c_145,c_4]) ).
tff(c_10,plain,
! [A0_9,A1_10] :
( ~ le(s(A0_9),A1_10)
| ~ eq(f(A1_10),a0)
| ~ eq(f(A0_9),a0) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_387,plain,
! [A_73,A0_9,B_74,B_75] :
( ~ eq(f(max(A_73,max(max(s(A0_9),B_74),B_75))),a0)
| ~ eq(f(A0_9),a0) ),
inference(resolution,[status(thm)],[c_366,c_10]) ).
tff(c_2722,plain,
! [A0_9,A0_676,A0_677] :
( ~ eq(f(A0_9),a0)
| ~ eq(f(A0_676),a1)
| ~ eq(f(A0_677),a2) ),
inference(resolution,[status(thm)],[c_2706,c_387]) ).
tff(c_2727,plain,
! [A0_677] : ~ eq(f(A0_677),a2),
inference(splitLeft,[status(thm)],[c_2722]) ).
tff(c_2730,plain,
! [A_680] :
( eq(f(A_680),a1)
| eq(f(A_680),a0) ),
inference(negUnitSimplification,[status(thm)],[c_2727,c_8]) ).
tff(c_50,plain,
! [A0_27,A1_28] :
( ~ le(s(A0_27),A1_28)
| ~ eq(f(A1_28),a1)
| ~ eq(f(A0_27),a1) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_64,plain,
! [A0_27,B_18] :
( ~ eq(f(max(s(A0_27),B_18)),a1)
| ~ eq(f(A0_27),a1) ),
inference(resolution,[status(thm)],[c_21,c_50]) ).
tff(c_2821,plain,
! [A0_689,B_690] :
( ~ eq(f(A0_689),a1)
| eq(f(max(s(A0_689),B_690)),a0) ),
inference(resolution,[status(thm)],[c_2730,c_64]) ).
tff(c_81,plain,
! [A_2,A_30,B_3] : le(A_2,max(A_30,max(A_2,B_3))),
inference(resolution,[status(thm)],[c_66,c_4]) ).
tff(c_278,plain,
! [A0_65,A1_66] :
( ~ le(s(A0_65),A1_66)
| ~ eq(f(A1_66),a0)
| ~ eq(f(A0_65),a0) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_332,plain,
! [A_30,A0_65,B_3] :
( ~ eq(f(max(A_30,max(s(A0_65),B_3))),a0)
| ~ eq(f(A0_65),a0) ),
inference(resolution,[status(thm)],[c_81,c_278]) ).
tff(c_2850,plain,
! [A0_65,A0_689] :
( ~ eq(f(A0_65),a0)
| ~ eq(f(A0_689),a1) ),
inference(resolution,[status(thm)],[c_2821,c_332]) ).
tff(c_2854,plain,
! [A0_689] : ~ eq(f(A0_689),a1),
inference(splitLeft,[status(thm)],[c_2850]) ).
tff(c_2728,plain,
! [A_8] :
( eq(f(A_8),a1)
| eq(f(A_8),a0) ),
inference(negUnitSimplification,[status(thm)],[c_2727,c_8]) ).
tff(c_2855,plain,
! [A_8] : eq(f(A_8),a0),
inference(negUnitSimplification,[status(thm)],[c_2854,c_2728]) ).
tff(c_22,plain,
! [A_19,B_20] : le(A_19,max(A_19,B_20)),
inference(resolution,[status(thm)],[c_2,c_16]) ).
tff(c_28,plain,
! [A_21,B_22,B_23] : le(A_21,max(max(A_21,B_22),B_23)),
inference(resolution,[status(thm)],[c_22,c_4]) ).
tff(c_340,plain,
! [A_68,B_69,B_70,B_71] : le(A_68,max(max(max(A_68,B_69),B_70),B_71)),
inference(resolution,[status(thm)],[c_28,c_4]) ).
tff(c_361,plain,
! [A0_9,B_69,B_70,B_71] :
( ~ eq(f(max(max(max(s(A0_9),B_69),B_70),B_71)),a0)
| ~ eq(f(A0_9),a0) ),
inference(resolution,[status(thm)],[c_340,c_10]) ).
tff(c_2889,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2855,c_2855,c_361]) ).
tff(c_2890,plain,
! [A0_65] : ~ eq(f(A0_65),a0),
inference(splitRight,[status(thm)],[c_2850]) ).
tff(c_2927,plain,
! [A_8] : eq(f(A_8),a1),
inference(negUnitSimplification,[status(thm)],[c_2890,c_2728]) ).
tff(c_82,plain,
! [B_31,A_32,B_33] : le(B_31,max(max(A_32,B_31),B_33)),
inference(resolution,[status(thm)],[c_21,c_34]) ).
tff(c_189,plain,
! [A_48,A_49,B_50,B_51] : le(A_48,max(max(A_49,max(A_48,B_50)),B_51)),
inference(resolution,[status(thm)],[c_82,c_4]) ).
tff(c_207,plain,
! [A_49,A0_11,B_50,B_51] :
( ~ eq(f(max(max(A_49,max(s(A0_11),B_50)),B_51)),a1)
| ~ eq(f(A0_11),a1) ),
inference(resolution,[status(thm)],[c_189,c_12]) ).
tff(c_2961,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2927,c_2927,c_207]) ).
tff(c_2962,plain,
! [A0_9,A0_676] :
( ~ eq(f(A0_9),a0)
| ~ eq(f(A0_676),a1) ),
inference(splitRight,[status(thm)],[c_2722]) ).
tff(c_2963,plain,
! [A0_676] : ~ eq(f(A0_676),a1),
inference(splitLeft,[status(thm)],[c_2962]) ).
tff(c_427,plain,
! [A0_82,B_83] :
( ~ eq(f(A0_82),a2)
| eq(f(max(s(A0_82),B_83)),a1)
| eq(f(max(s(A0_82),B_83)),a0) ),
inference(resolution,[status(thm)],[c_8,c_423]) ).
tff(c_3065,plain,
! [A0_705,B_706] :
( ~ eq(f(A0_705),a2)
| eq(f(max(s(A0_705),B_706)),a0) ),
inference(negUnitSimplification,[status(thm)],[c_2963,c_427]) ).
tff(c_3094,plain,
! [A0_65,A0_705] :
( ~ eq(f(A0_65),a0)
| ~ eq(f(A0_705),a2) ),
inference(resolution,[status(thm)],[c_3065,c_332]) ).
tff(c_3098,plain,
! [A0_705] : ~ eq(f(A0_705),a2),
inference(splitLeft,[status(thm)],[c_3094]) ).
tff(c_2993,plain,
! [A_8] :
( eq(f(A_8),a2)
| eq(f(A_8),a0) ),
inference(negUnitSimplification,[status(thm)],[c_2963,c_8]) ).
tff(c_3099,plain,
! [A_8] : eq(f(A_8),a0),
inference(negUnitSimplification,[status(thm)],[c_3098,c_2993]) ).
tff(c_3133,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3099,c_3099,c_361]) ).
tff(c_3134,plain,
! [A0_65] : ~ eq(f(A0_65),a0),
inference(splitRight,[status(thm)],[c_3094]) ).
tff(c_3158,plain,
! [A_8] : eq(f(A_8),a2),
inference(negUnitSimplification,[status(thm)],[c_3134,c_2993]) ).
tff(c_14,plain,
! [A0_13,A1_14] :
( ~ le(s(A0_13),A1_14)
| ~ eq(f(A1_14),a2)
| ~ eq(f(A0_13),a2) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_206,plain,
! [A_49,A0_13,B_50,B_51] :
( ~ eq(f(max(max(A_49,max(s(A0_13),B_50)),B_51)),a2)
| ~ eq(f(A0_13),a2) ),
inference(resolution,[status(thm)],[c_189,c_14]) ).
tff(c_3192,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3158,c_3158,c_206]) ).
tff(c_3193,plain,
! [A0_9] : ~ eq(f(A0_9),a0),
inference(splitRight,[status(thm)],[c_2962]) ).
tff(c_1266,plain,
! [A0_11,A0_291,A_36] :
( ~ eq(f(A0_11),a1)
| ~ eq(f(A0_291),a2)
| eq(f(max(s(A0_291),max(A_36,s(A0_11)))),a0) ),
inference(resolution,[status(thm)],[c_1249,c_111]) ).
tff(c_3194,plain,
! [A0_11,A0_291] :
( ~ eq(f(A0_11),a1)
| ~ eq(f(A0_291),a2) ),
inference(negUnitSimplification,[status(thm)],[c_3193,c_1266]) ).
tff(c_3267,plain,
! [A0_291] : ~ eq(f(A0_291),a2),
inference(splitLeft,[status(thm)],[c_3194]) ).
tff(c_3200,plain,
! [A_8] :
( eq(f(A_8),a2)
| eq(f(A_8),a1) ),
inference(negUnitSimplification,[status(thm)],[c_3193,c_8]) ).
tff(c_3273,plain,
! [A_8] : eq(f(A_8),a1),
inference(negUnitSimplification,[status(thm)],[c_3267,c_3200]) ).
tff(c_3307,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3273,c_3273,c_207]) ).
tff(c_3308,plain,
! [A0_11] : ~ eq(f(A0_11),a1),
inference(splitRight,[status(thm)],[c_3194]) ).
tff(c_3309,plain,
! [A_8] : eq(f(A_8),a2),
inference(negUnitSimplification,[status(thm)],[c_3308,c_3200]) ).
tff(c_3359,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_3309,c_206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n003.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 16:07:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 6.53/2.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.53/2.63
% 6.53/2.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.53/2.67
% 6.53/2.67 Inference rules
% 6.53/2.67 ----------------------
% 6.53/2.67 #Ref : 0
% 6.53/2.67 #Sup : 601
% 6.53/2.67 #Fact : 0
% 6.53/2.67 #Define : 0
% 6.53/2.67 #Split : 9
% 6.53/2.67 #Chain : 0
% 6.53/2.67 #Close : 0
% 6.53/2.67
% 6.53/2.67 Ordering : KBO
% 6.53/2.67
% 6.53/2.67 Simplification rules
% 6.53/2.67 ----------------------
% 6.53/2.67 #Subsume : 251
% 6.53/2.67 #Demod : 256
% 6.53/2.67 #Tautology : 10
% 6.53/2.67 #SimpNegUnit : 29
% 6.53/2.67 #BackRed : 157
% 6.53/2.67
% 6.53/2.67 #Partial instantiations: 0
% 6.53/2.67 #Strategies tried : 1
% 6.53/2.67
% 6.53/2.67 Timing (in seconds)
% 6.53/2.67 ----------------------
% 6.53/2.68 Preprocessing : 0.46
% 6.53/2.68 Parsing : 0.25
% 6.53/2.68 CNF conversion : 0.02
% 6.53/2.68 Main loop : 1.12
% 6.53/2.68 Inferencing : 0.42
% 6.53/2.68 Reduction : 0.27
% 6.53/2.68 Demodulation : 0.20
% 6.53/2.68 BG Simplification : 0.03
% 6.53/2.68 Subsumption : 0.32
% 6.53/2.68 Abstraction : 0.03
% 6.53/2.68 MUC search : 0.00
% 6.53/2.68 Cooper : 0.00
% 6.53/2.68 Total : 1.64
% 6.53/2.68 Index Insertion : 0.00
% 6.53/2.68 Index Deletion : 0.00
% 6.53/2.68 Index Matching : 0.00
% 6.53/2.68 BG Taut test : 0.00
%------------------------------------------------------------------------------