TSTP Solution File: SYN577-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN577-1 : 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 : 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 11:11:21 EDT 2023
% Result : Unsatisfiable 16.79s 6.47s
% Output : CNFRefutation 16.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 28
% Syntax : Number of formulae : 63 ( 15 unt; 19 typ; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 59 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 7 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 63 (; 63 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p8 > p7 > p2 > f5 > f4 > f3 > #nlpp > f6 > c9 > c20 > c19 > c18 > c17 > c16 > c15 > c14 > c13 > c12 > c11 > c10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(c12,type,
c12: $i ).
tff(c16,type,
c16: $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c9,type,
c9: $i ).
tff(c14,type,
c14: $i ).
tff(c17,type,
c17: $i ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c10,type,
c10: $i ).
tff(c15,type,
c15: $i ).
tff(f6,type,
f6: $i > $i ).
tff(c11,type,
c11: $i ).
tff(f4,type,
f4: ( $i * $i ) > $i ).
tff(c18,type,
c18: $i ).
tff(c13,type,
c13: $i ).
tff(f3,type,
f3: ( $i * $i ) > $i ).
tff(c19,type,
c19: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(c20,type,
c20: $i ).
tff(f_23,axiom,
! [X0] : p2(X0,X0),
file(unknown,unknown) ).
tff(f_33,axiom,
p2(f5(f6(c9),c19),c17),
file(unknown,unknown) ).
tff(f_85,axiom,
! [X18,X19,X20,X21] :
( p2(f5(X18,X19),f5(X20,X21))
| ~ p2(X19,X21)
| ~ p2(X18,X20) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X1,X2,X0] :
( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) ),
file(unknown,unknown) ).
tff(f_31,axiom,
p2(f4(c15,c14),c17),
file(unknown,unknown) ).
tff(f_27,axiom,
p7(c9,c10),
file(unknown,unknown) ).
tff(f_34,axiom,
p2(f5(f6(c9),c20),c18),
file(unknown,unknown) ).
tff(f_30,axiom,
p2(f4(c16,c14),c18),
file(unknown,unknown) ).
tff(f_108,axiom,
! [X34,X32,X33] :
( ~ p7(X34,c10)
| ~ p2(c15,X32)
| ~ p2(c16,X33)
| ~ p2(f4(X32,c14),f5(f6(X34),c19))
| ~ p2(f4(X33,c14),f5(f6(X34),c20)) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X0_1] : p2(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_22,plain,
p2(f5(f6(c9),c19),c17),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_310,plain,
! [X18_70,X20_71,X19_72,X21_73] :
( ~ p2(X18_70,X20_71)
| ~ p2(X19_72,X21_73)
| p2(f5(X18_70,X19_72),f5(X20_71,X21_73)) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_47,plain,
! [X0_47,X2_48,X1_49] :
( ~ p2(X0_47,X2_48)
| ~ p2(X0_47,X1_49)
| p2(X1_49,X2_48) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_71,plain,
! [X0_1,X1_49] :
( ~ p2(X0_1,X1_49)
| p2(X1_49,X0_1) ),
inference(resolution,[status(thm)],[c_2,c_47]) ).
tff(c_5342,plain,
! [X20_315,X21_316,X18_317,X19_318] :
( p2(f5(X20_315,X21_316),f5(X18_317,X19_318))
| ~ p2(X18_317,X20_315)
| ~ p2(X19_318,X21_316) ),
inference(resolution,[status(thm)],[c_310,c_71]) ).
tff(c_28,plain,
! [X0_6,X2_5,X1_4] :
( ~ p2(X0_6,X2_5)
| ~ p2(X0_6,X1_4)
| p2(X1_4,X2_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_23945,plain,
! [X1_653,X20_654,X18_657,X19_656,X21_655] :
( ~ p2(f5(X20_654,X21_655),X1_653)
| p2(X1_653,f5(X18_657,X19_656))
| ~ p2(X18_657,X20_654)
| ~ p2(X19_656,X21_655) ),
inference(resolution,[status(thm)],[c_5342,c_28]) ).
tff(c_24839,plain,
! [X18_677,X19_678] :
( p2(c17,f5(X18_677,X19_678))
| ~ p2(X18_677,f6(c9))
| ~ p2(X19_678,c19) ),
inference(resolution,[status(thm)],[c_22,c_23945]) ).
tff(c_24960,plain,
! [X19_679] :
( p2(c17,f5(f6(c9),X19_679))
| ~ p2(X19_679,c19) ),
inference(resolution,[status(thm)],[c_2,c_24839]) ).
tff(c_18,plain,
p2(f4(c15,c14),c17),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_72,plain,
! [X0_50,X1_51] :
( ~ p2(X0_50,X1_51)
| p2(X1_51,X0_50) ),
inference(resolution,[status(thm)],[c_2,c_47]) ).
tff(c_93,plain,
p2(c17,f4(c15,c14)),
inference(resolution,[status(thm)],[c_18,c_72]) ).
tff(c_393,plain,
! [X1_76] :
( ~ p2(c17,X1_76)
| p2(X1_76,f4(c15,c14)) ),
inference(resolution,[status(thm)],[c_93,c_28]) ).
tff(c_427,plain,
! [X1_76,X1_4] :
( ~ p2(X1_76,X1_4)
| p2(X1_4,f4(c15,c14))
| ~ p2(c17,X1_76) ),
inference(resolution,[status(thm)],[c_393,c_28]) ).
tff(c_24990,plain,
! [X19_679] :
( p2(f5(f6(c9),X19_679),f4(c15,c14))
| ~ p2(c17,c17)
| ~ p2(X19_679,c19) ),
inference(resolution,[status(thm)],[c_24960,c_427]) ).
tff(c_29519,plain,
! [X19_755] :
( p2(f5(f6(c9),X19_755),f4(c15,c14))
| ~ p2(X19_755,c19) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24990]) ).
tff(c_29686,plain,
! [X19_755] :
( p2(f4(c15,c14),f5(f6(c9),X19_755))
| ~ p2(X19_755,c19) ),
inference(resolution,[status(thm)],[c_29519,c_71]) ).
tff(c_10,plain,
p7(c9,c10),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_24,plain,
p2(f5(f6(c9),c20),c18),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_1993,plain,
! [X19_183,X20_182,X21_184,X1_180,X18_181] :
( ~ p2(f5(X18_181,X19_183),X1_180)
| p2(X1_180,f5(X20_182,X21_184))
| ~ p2(X18_181,X20_182)
| ~ p2(X19_183,X21_184) ),
inference(resolution,[status(thm)],[c_310,c_28]) ).
tff(c_4426,plain,
! [X20_287,X21_288] :
( p2(c18,f5(X20_287,X21_288))
| ~ p2(f6(c9),X20_287)
| ~ p2(c20,X21_288) ),
inference(resolution,[status(thm)],[c_24,c_1993]) ).
tff(c_4530,plain,
! [X21_288] :
( p2(c18,f5(f6(c9),X21_288))
| ~ p2(c20,X21_288) ),
inference(resolution,[status(thm)],[c_2,c_4426]) ).
tff(c_16,plain,
p2(f4(c16,c14),c18),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_94,plain,
p2(c18,f4(c16,c14)),
inference(resolution,[status(thm)],[c_16,c_72]) ).
tff(c_428,plain,
! [X1_77] :
( ~ p2(c18,X1_77)
| p2(X1_77,f4(c16,c14)) ),
inference(resolution,[status(thm)],[c_94,c_28]) ).
tff(c_7304,plain,
! [X1_365,X1_366] :
( ~ p2(X1_365,X1_366)
| p2(X1_366,f4(c16,c14))
| ~ p2(c18,X1_365) ),
inference(resolution,[status(thm)],[c_428,c_28]) ).
tff(c_7346,plain,
! [X21_288] :
( p2(f5(f6(c9),X21_288),f4(c16,c14))
| ~ p2(c18,c18)
| ~ p2(c20,X21_288) ),
inference(resolution,[status(thm)],[c_4530,c_7304]) ).
tff(c_13291,plain,
! [X21_473] :
( p2(f5(f6(c9),X21_473),f4(c16,c14))
| ~ p2(c20,X21_473) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7346]) ).
tff(c_29253,plain,
! [X21_751] :
( p2(f4(c16,c14),f5(f6(c9),X21_751))
| ~ p2(c20,X21_751) ),
inference(resolution,[status(thm)],[c_13291,c_71]) ).
tff(c_40,plain,
! [X33_29,X34_27,X32_28] :
( ~ p2(f4(X33_29,c14),f5(f6(X34_27),c20))
| ~ p2(f4(X32_28,c14),f5(f6(X34_27),c19))
| ~ p2(c16,X33_29)
| ~ p2(c15,X32_28)
| ~ p7(X34_27,c10) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_29324,plain,
! [X32_28] :
( ~ p2(f4(X32_28,c14),f5(f6(c9),c19))
| ~ p2(c16,c16)
| ~ p2(c15,X32_28)
| ~ p7(c9,c10)
| ~ p2(c20,c20) ),
inference(resolution,[status(thm)],[c_29253,c_40]) ).
tff(c_30954,plain,
! [X32_775] :
( ~ p2(f4(X32_775,c14),f5(f6(c9),c19))
| ~ p2(c15,X32_775) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10,c_2,c_29324]) ).
tff(c_30958,plain,
( ~ p2(c15,c15)
| ~ p2(c19,c19) ),
inference(resolution,[status(thm)],[c_29686,c_30954]) ).
tff(c_31003,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_30958]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN577-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % 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 17:29:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 16.79/6.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.79/6.47
% 16.79/6.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.79/6.50
% 16.79/6.50 Inference rules
% 16.79/6.50 ----------------------
% 16.79/6.50 #Ref : 0
% 16.79/6.50 #Sup : 7784
% 16.79/6.50 #Fact : 0
% 16.79/6.50 #Define : 0
% 16.79/6.50 #Split : 111
% 16.79/6.50 #Chain : 0
% 16.79/6.50 #Close : 0
% 16.79/6.50
% 16.79/6.50 Ordering : KBO
% 16.79/6.50
% 16.79/6.50 Simplification rules
% 16.79/6.50 ----------------------
% 16.79/6.50 #Subsume : 2527
% 16.79/6.50 #Demod : 1501
% 16.79/6.50 #Tautology : 427
% 16.79/6.50 #SimpNegUnit : 185
% 16.79/6.50 #BackRed : 0
% 16.79/6.50
% 16.79/6.50 #Partial instantiations: 0
% 16.79/6.50 #Strategies tried : 1
% 16.79/6.50
% 16.79/6.51 Timing (in seconds)
% 16.79/6.51 ----------------------
% 16.79/6.51 Preprocessing : 0.48
% 16.79/6.51 Parsing : 0.27
% 16.79/6.51 CNF conversion : 0.03
% 16.79/6.51 Main loop : 4.97
% 16.79/6.51 Inferencing : 0.98
% 16.79/6.51 Reduction : 1.56
% 16.79/6.51 Demodulation : 0.93
% 16.79/6.51 BG Simplification : 0.06
% 16.79/6.51 Subsumption : 2.00
% 16.79/6.51 Abstraction : 0.08
% 16.79/6.51 MUC search : 0.00
% 16.79/6.51 Cooper : 0.00
% 16.79/6.51 Total : 5.50
% 16.79/6.51 Index Insertion : 0.00
% 16.79/6.51 Index Deletion : 0.00
% 16.79/6.51 Index Matching : 0.00
% 16.79/6.51 BG Taut test : 0.00
%------------------------------------------------------------------------------