TSTP Solution File: SYN010-1.005.005 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN010-1.005.005 : 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 : n013.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 11:08:31 EDT 2023
% Result : Unsatisfiable 2.80s 1.67s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 53
% Syntax : Number of formulae : 102 ( 34 unt; 26 typ; 0 def)
% Number of atoms : 286 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 422 ( 212 ~; 210 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > p_5_5 > p_5_4 > p_5_3 > p_5_2 > p_5_1 > p_4_5 > p_4_4 > p_4_3 > p_4_2 > p_4_1 > p_3_5 > p_3_4 > p_3_3 > p_3_2 > p_3_1 > p_2_5 > p_2_4 > p_2_3 > p_2_2 > p_2_1 > p_1_5 > p_1_4 > p_1_3 > p_1_2 > p_1_1 > p_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p_1_3,type,
p_1_3: $o ).
tff(p_3_5,type,
p_3_5: $o ).
tff(p_4_1,type,
p_4_1: $o ).
tff(p_2_4,type,
p_2_4: $o ).
tff(p_3_1,type,
p_3_1: $o ).
tff(p_2_1,type,
p_2_1: $o ).
tff(p_2_2,type,
p_2_2: $o ).
tff(p_4_5,type,
p_4_5: $o ).
tff(p_1_5,type,
p_1_5: $o ).
tff(p_4_4,type,
p_4_4: $o ).
tff(p_1_1,type,
p_1_1: $o ).
tff(p_2_3,type,
p_2_3: $o ).
tff(p_1_2,type,
p_1_2: $o ).
tff(p_3_4,type,
p_3_4: $o ).
tff(p_5_4,type,
p_5_4: $o ).
tff(p_4_2,type,
p_4_2: $o ).
tff(p_5_3,type,
p_5_3: $o ).
tff(p_1_4,type,
p_1_4: $o ).
tff(p_3_3,type,
p_3_3: $o ).
tff(p_4_3,type,
p_4_3: $o ).
tff(p_5_1,type,
p_5_1: $o ).
tff(p_0,type,
p_0: $o ).
tff(p_3_2,type,
p_3_2: $o ).
tff(p_5_2,type,
p_5_2: $o ).
tff(p_2_5,type,
p_2_5: $o ).
tff(p_5_5,type,
p_5_5: $o ).
tff(f_363,axiom,
p_5_1,
file(unknown,unknown) ).
tff(f_364,axiom,
p_5_2,
file(unknown,unknown) ).
tff(f_365,axiom,
p_5_3,
file(unknown,unknown) ).
tff(f_366,axiom,
p_5_4,
file(unknown,unknown) ).
tff(f_367,axiom,
p_5_5,
file(unknown,unknown) ).
tff(f_298,axiom,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file(unknown,unknown) ).
tff(f_314,axiom,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file(unknown,unknown) ).
tff(f_330,axiom,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file(unknown,unknown) ).
tff(f_346,axiom,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file(unknown,unknown) ).
tff(f_362,axiom,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file(unknown,unknown) ).
tff(f_218,axiom,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file(unknown,unknown) ).
tff(f_234,axiom,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file(unknown,unknown) ).
tff(f_250,axiom,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file(unknown,unknown) ).
tff(f_266,axiom,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file(unknown,unknown) ).
tff(f_282,axiom,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file(unknown,unknown) ).
tff(f_138,axiom,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file(unknown,unknown) ).
tff(f_154,axiom,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file(unknown,unknown) ).
tff(f_170,axiom,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file(unknown,unknown) ).
tff(f_186,axiom,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file(unknown,unknown) ).
tff(f_202,axiom,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file(unknown,unknown) ).
tff(f_58,axiom,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file(unknown,unknown) ).
tff(f_74,axiom,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file(unknown,unknown) ).
tff(f_90,axiom,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file(unknown,unknown) ).
tff(f_106,axiom,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file(unknown,unknown) ).
tff(f_122,axiom,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file(unknown,unknown) ).
tff(f_42,axiom,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
file(unknown,unknown) ).
tff(f_26,axiom,
~ p_0,
file(unknown,unknown) ).
tff(c_46,plain,
p_5_1,
inference(cnfTransformation,[status(thm)],[f_363]) ).
tff(c_48,plain,
p_5_2,
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_50,plain,
p_5_3,
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_52,plain,
p_5_4,
inference(cnfTransformation,[status(thm)],[f_366]) ).
tff(c_54,plain,
p_5_5,
inference(cnfTransformation,[status(thm)],[f_367]) ).
tff(c_36,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
inference(cnfTransformation,[status(thm)],[f_298]) ).
tff(c_64,plain,
p_4_1,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_50,c_52,c_54,c_36]) ).
tff(c_38,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
inference(cnfTransformation,[status(thm)],[f_314]) ).
tff(c_62,plain,
p_4_2,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_50,c_52,c_54,c_38]) ).
tff(c_40,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_60,plain,
p_4_3,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_50,c_52,c_54,c_40]) ).
tff(c_42,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
inference(cnfTransformation,[status(thm)],[f_346]) ).
tff(c_58,plain,
p_4_4,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_50,c_52,c_54,c_42]) ).
tff(c_44,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_56,plain,
p_4_5,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_50,c_52,c_54,c_44]) ).
tff(c_26,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_74,plain,
p_3_1,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_62,c_60,c_58,c_56,c_26]) ).
tff(c_28,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_72,plain,
p_3_2,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_62,c_60,c_58,c_56,c_28]) ).
tff(c_30,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_70,plain,
p_3_3,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_62,c_60,c_58,c_56,c_30]) ).
tff(c_32,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_68,plain,
p_3_4,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_62,c_60,c_58,c_56,c_32]) ).
tff(c_34,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_66,plain,
p_3_5,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_62,c_60,c_58,c_56,c_34]) ).
tff(c_16,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_84,plain,
p_2_1,
inference(demodulation,[status(thm),theory(equality)],[c_74,c_72,c_70,c_68,c_66,c_16]) ).
tff(c_18,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_82,plain,
p_2_2,
inference(demodulation,[status(thm),theory(equality)],[c_74,c_72,c_70,c_68,c_66,c_18]) ).
tff(c_20,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_80,plain,
p_2_3,
inference(demodulation,[status(thm),theory(equality)],[c_74,c_72,c_70,c_68,c_66,c_20]) ).
tff(c_22,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_78,plain,
p_2_4,
inference(demodulation,[status(thm),theory(equality)],[c_74,c_72,c_70,c_68,c_66,c_22]) ).
tff(c_24,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_76,plain,
p_2_5,
inference(demodulation,[status(thm),theory(equality)],[c_74,c_72,c_70,c_68,c_66,c_24]) ).
tff(c_6,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_94,plain,
p_1_1,
inference(demodulation,[status(thm),theory(equality)],[c_84,c_82,c_80,c_78,c_76,c_6]) ).
tff(c_8,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_92,plain,
p_1_2,
inference(demodulation,[status(thm),theory(equality)],[c_84,c_82,c_80,c_78,c_76,c_8]) ).
tff(c_10,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_90,plain,
p_1_3,
inference(demodulation,[status(thm),theory(equality)],[c_84,c_82,c_80,c_78,c_76,c_10]) ).
tff(c_12,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_88,plain,
p_1_4,
inference(demodulation,[status(thm),theory(equality)],[c_84,c_82,c_80,c_78,c_76,c_12]) ).
tff(c_14,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_86,plain,
p_1_5,
inference(demodulation,[status(thm),theory(equality)],[c_84,c_82,c_80,c_78,c_76,c_14]) ).
tff(c_4,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_96,plain,
p_0,
inference(demodulation,[status(thm),theory(equality)],[c_94,c_92,c_90,c_88,c_86,c_4]) ).
tff(c_2,plain,
~ p_0,
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_98,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:07:03 EDT 2023
% 0.15/0.36 % CPUTime :
% 2.80/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.80/1.68
% 2.80/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.93/1.73
% 2.93/1.73 Inference rules
% 2.93/1.73 ----------------------
% 2.93/1.73 #Ref : 0
% 2.93/1.73 #Sup : 0
% 2.93/1.73 #Fact : 0
% 2.93/1.73 #Define : 0
% 2.93/1.73 #Split : 0
% 2.93/1.73 #Chain : 0
% 2.93/1.73 #Close : 0
% 2.93/1.73
% 2.93/1.73 Ordering : KBO
% 2.93/1.73
% 2.93/1.73 Simplification rules
% 2.93/1.73 ----------------------
% 2.93/1.73 #Subsume : 26
% 2.93/1.73 #Demod : 106
% 2.93/1.73 #Tautology : 0
% 2.93/1.73 #SimpNegUnit : 0
% 2.93/1.73 #BackRed : 0
% 2.93/1.73
% 2.93/1.73 #Partial instantiations: 0
% 2.93/1.73 #Strategies tried : 1
% 2.93/1.73
% 2.93/1.73 Timing (in seconds)
% 2.93/1.73 ----------------------
% 2.93/1.73 Preprocessing : 0.45
% 2.93/1.73 Parsing : 0.24
% 2.93/1.73 CNF conversion : 0.02
% 2.93/1.73 Main loop : 0.12
% 2.93/1.73 Inferencing : 0.00
% 2.93/1.73 Reduction : 0.07
% 2.93/1.73 Demodulation : 0.05
% 2.93/1.73 BG Simplification : 0.02
% 2.93/1.73 Subsumption : 0.03
% 2.93/1.73 Abstraction : 0.01
% 2.93/1.73 MUC search : 0.00
% 2.93/1.73 Cooper : 0.00
% 2.93/1.73 Total : 0.64
% 2.93/1.73 Index Insertion : 0.00
% 2.93/1.73 Index Deletion : 0.00
% 2.93/1.73 Index Matching : 0.00
% 2.93/1.73 BG Taut test : 0.00
%------------------------------------------------------------------------------