TSTP Solution File: SYN098-1.002 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 11:09:36 EDT 2023
% Result : Unsatisfiable 4.13s 1.95s
% Output : CNFRefutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 70
% Syntax : Number of formulae : 133 ( 42 unt; 54 typ; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 106 ( 55 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 55 ( 54 usr; 55 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > u_9 > u_8 > u_7 > u_6 > u_5 > u_4 > u_3 > u_2 > u_17 > u_16 > u_15 > u_14 > u_13 > u_12 > u_11 > u_10 > u_1 > sym_u_9 > sym_u_8 > sym_u_7 > sym_u_6 > sym_u_5 > sym_u_4 > sym_u_3 > sym_u_2 > sym_u_17 > sym_u_16 > sym_u_15 > sym_u_14 > sym_u_13 > sym_u_12 > sym_u_11 > sym_u_10 > sym_u_1 > sym_q_4 > sym_q_3 > sym_q_2 > sym_q_1 > sym_q_0 > sym_p_4 > sym_p_3 > sym_p_2 > sym_p_1 > sym_p_0 > q_4 > q_3 > q_2 > q_1 > q_0 > p_4 > p_3 > p_2 > p_1 > p_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sym_u_4,type,
sym_u_4: $o ).
tff(sym_u_17,type,
sym_u_17: $o ).
tff(u_6,type,
u_6: $o ).
tff(sym_u_15,type,
sym_u_15: $o ).
tff(u_15,type,
u_15: $o ).
tff(q_3,type,
q_3: $o ).
tff(q_1,type,
q_1: $o ).
tff(sym_q_3,type,
sym_q_3: $o ).
tff(u_14,type,
u_14: $o ).
tff(sym_u_12,type,
sym_u_12: $o ).
tff(p_2,type,
p_2: $o ).
tff(u_16,type,
u_16: $o ).
tff(u_1,type,
u_1: $o ).
tff(sym_p_1,type,
sym_p_1: $o ).
tff(sym_p_3,type,
sym_p_3: $o ).
tff(sym_u_11,type,
sym_u_11: $o ).
tff(sym_u_2,type,
sym_u_2: $o ).
tff(sym_u_6,type,
sym_u_6: $o ).
tff(sym_u_5,type,
sym_u_5: $o ).
tff(sym_u_14,type,
sym_u_14: $o ).
tff(u_5,type,
u_5: $o ).
tff(u_3,type,
u_3: $o ).
tff(u_8,type,
u_8: $o ).
tff(u_12,type,
u_12: $o ).
tff(q_4,type,
q_4: $o ).
tff(sym_q_4,type,
sym_q_4: $o ).
tff(u_13,type,
u_13: $o ).
tff(q_2,type,
q_2: $o ).
tff(u_4,type,
u_4: $o ).
tff(sym_u_7,type,
sym_u_7: $o ).
tff(sym_u_13,type,
sym_u_13: $o ).
tff(sym_q_2,type,
sym_q_2: $o ).
tff(sym_p_2,type,
sym_p_2: $o ).
tff(sym_p_0,type,
sym_p_0: $o ).
tff(sym_u_16,type,
sym_u_16: $o ).
tff(u_2,type,
u_2: $o ).
tff(sym_u_3,type,
sym_u_3: $o ).
tff(sym_u_10,type,
sym_u_10: $o ).
tff(sym_u_9,type,
sym_u_9: $o ).
tff(u_11,type,
u_11: $o ).
tff(u_7,type,
u_7: $o ).
tff(q_0,type,
q_0: $o ).
tff(p_3,type,
p_3: $o ).
tff(sym_u_1,type,
sym_u_1: $o ).
tff(p_1,type,
p_1: $o ).
tff(sym_p_4,type,
sym_p_4: $o ).
tff(p_0,type,
p_0: $o ).
tff(sym_u_8,type,
sym_u_8: $o ).
tff(u_9,type,
u_9: $o ).
tff(sym_q_1,type,
sym_q_1: $o ).
tff(p_4,type,
p_4: $o ).
tff(u_17,type,
u_17: $o ).
tff(sym_q_0,type,
sym_q_0: $o ).
tff(u_10,type,
u_10: $o ).
tff(f_369,axiom,
( ~ sym_p_2
| sym_u_14 ),
file(unknown,unknown) ).
tff(f_327,axiom,
( ~ sym_p_3
| sym_u_10 ),
file(unknown,unknown) ).
tff(f_251,axiom,
( ~ sym_p_1
| sym_u_4 ),
file(unknown,unknown) ).
tff(f_365,axiom,
( ~ sym_u_14
| ~ sym_p_2 ),
file(unknown,unknown) ).
tff(f_383,axiom,
( ~ sym_u_16
| ~ sym_q_2 ),
file(unknown,unknown) ).
tff(f_387,axiom,
( ~ sym_q_2
| sym_u_16 ),
file(unknown,unknown) ).
tff(f_238,axiom,
( ~ sym_p_0
| sym_u_3 ),
file(unknown,unknown) ).
tff(f_212,axiom,
sym_u_1,
file(unknown,unknown) ).
tff(f_211,axiom,
( ~ sym_u_1
| sym_p_0
| sym_q_0 ),
file(unknown,unknown) ).
tff(f_277,axiom,
( ~ sym_q_0
| sym_u_6 ),
file(unknown,unknown) ).
tff(f_273,axiom,
( ~ sym_u_6
| ~ sym_q_0
| sym_p_1
| sym_q_2 ),
file(unknown,unknown) ).
tff(f_225,axiom,
( ~ sym_p_0
| sym_u_2 ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ~ sym_u_2
| ~ sym_p_0
| sym_p_1
| sym_p_2 ),
file(unknown,unknown) ).
tff(f_247,axiom,
( ~ sym_u_4
| ~ sym_p_1
| sym_p_2
| sym_p_3 ),
file(unknown,unknown) ).
tff(f_378,axiom,
( ~ sym_p_3
| sym_u_15 ),
file(unknown,unknown) ).
tff(f_374,axiom,
( ~ sym_u_15
| ~ sym_p_3 ),
file(unknown,unknown) ).
tff(c_124,plain,
( sym_u_14
| ~ sym_p_2 ),
inference(cnfTransformation,[status(thm)],[f_369]) ).
tff(c_539,plain,
~ sym_p_2,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_108,plain,
( sym_u_10
| ~ sym_p_3 ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_547,plain,
~ sym_p_3,
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_84,plain,
( sym_u_4
| ~ sym_p_1 ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_142,plain,
~ sym_p_1,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_469,plain,
~ sym_p_2,
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_122,plain,
( ~ sym_p_2
| ~ sym_u_14 ),
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_256,plain,
~ sym_u_14,
inference(splitLeft,[status(thm)],[c_122]) ).
tff(c_274,plain,
~ sym_p_2,
inference(negUnitSimplification,[status(thm)],[c_256,c_124]) ).
tff(c_130,plain,
( ~ sym_q_2
| ~ sym_u_16 ),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_143,plain,
~ sym_u_16,
inference(splitLeft,[status(thm)],[c_130]) ).
tff(c_132,plain,
( sym_u_16
| ~ sym_q_2 ),
inference(cnfTransformation,[status(thm)],[f_387]) ).
tff(c_159,plain,
~ sym_q_2,
inference(negUnitSimplification,[status(thm)],[c_143,c_132]) ).
tff(c_80,plain,
( sym_u_3
| ~ sym_p_0 ),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_144,plain,
~ sym_p_0,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_72,plain,
sym_u_1,
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_70,plain,
( sym_q_0
| sym_p_0
| ~ sym_u_1 ),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_138,plain,
( sym_q_0
| sym_p_0 ),
inference(demodulation,[status(thm),theory(equality)],[c_72,c_70]) ).
tff(c_155,plain,
sym_q_0,
inference(negUnitSimplification,[status(thm)],[c_144,c_138]) ).
tff(c_92,plain,
( sym_u_6
| ~ sym_q_0 ),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_170,plain,
sym_u_6,
inference(demodulation,[status(thm),theory(equality)],[c_155,c_92]) ).
tff(c_90,plain,
( sym_q_2
| sym_p_1
| ~ sym_q_0
| ~ sym_u_6 ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_200,plain,
( sym_q_2
| sym_p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_155,c_90]) ).
tff(c_201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142,c_159,c_200]) ).
tff(c_203,plain,
sym_p_0,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_76,plain,
( sym_u_2
| ~ sym_p_0 ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_288,plain,
sym_u_2,
inference(demodulation,[status(thm),theory(equality)],[c_203,c_76]) ).
tff(c_74,plain,
( sym_p_2
| sym_p_1
| ~ sym_p_0
| ~ sym_u_2 ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_319,plain,
( sym_p_2
| sym_p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_288,c_203,c_74]) ).
tff(c_320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142,c_274,c_319]) ).
tff(c_321,plain,
~ sym_p_2,
inference(splitRight,[status(thm)],[c_122]) ).
tff(c_335,plain,
sym_u_2,
inference(demodulation,[status(thm),theory(equality)],[c_203,c_76]) ).
tff(c_369,plain,
( sym_p_2
| sym_p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_335,c_203,c_74]) ).
tff(c_370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142,c_321,c_369]) ).
tff(c_371,plain,
~ sym_q_2,
inference(splitRight,[status(thm)],[c_130]) ).
tff(c_373,plain,
~ sym_p_0,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_391,plain,
~ sym_q_0,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_373,c_391,c_138]) ).
tff(c_402,plain,
sym_u_6,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_403,plain,
sym_q_0,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_456,plain,
( sym_q_2
| sym_p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_403,c_90]) ).
tff(c_457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142,c_371,c_456]) ).
tff(c_459,plain,
sym_p_0,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_477,plain,
sym_u_2,
inference(demodulation,[status(thm),theory(equality)],[c_459,c_76]) ).
tff(c_509,plain,
( sym_p_2
| sym_p_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_477,c_459,c_74]) ).
tff(c_510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142,c_469,c_509]) ).
tff(c_511,plain,
sym_u_14,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_512,plain,
sym_p_2,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_535,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_511,c_512,c_122]) ).
tff(c_536,plain,
sym_u_4,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_537,plain,
sym_p_1,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_82,plain,
( sym_p_3
| sym_p_2
| ~ sym_p_1
| ~ sym_u_4 ),
inference(cnfTransformation,[status(thm)],[f_247]) ).
tff(c_588,plain,
( sym_p_3
| sym_p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_536,c_537,c_82]) ).
tff(c_589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_539,c_547,c_588]) ).
tff(c_591,plain,
sym_p_3,
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_128,plain,
( sym_u_15
| ~ sym_p_3 ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_597,plain,
sym_u_15,
inference(demodulation,[status(thm),theory(equality)],[c_591,c_128]) ).
tff(c_126,plain,
( ~ sym_p_3
| ~ sym_u_15 ),
inference(cnfTransformation,[status(thm)],[f_374]) ).
tff(c_619,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_597,c_591,c_126]) ).
tff(c_620,plain,
sym_u_14,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_621,plain,
sym_p_2,
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_637,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_620,c_621,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 17:17:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.13/1.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/1.95
% 4.17/1.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.17/2.00
% 4.17/2.00 Inference rules
% 4.17/2.00 ----------------------
% 4.17/2.00 #Ref : 0
% 4.17/2.00 #Sup : 0
% 4.17/2.00 #Fact : 0
% 4.17/2.00 #Define : 0
% 4.17/2.00 #Split : 176
% 4.17/2.00 #Chain : 0
% 4.17/2.00 #Close : 0
% 4.17/2.00
% 4.17/2.00 Ordering : KBO
% 4.17/2.00
% 4.17/2.00 Simplification rules
% 4.17/2.00 ----------------------
% 4.17/2.00 #Subsume : 95
% 4.17/2.00 #Demod : 121
% 4.17/2.00 #Tautology : 33
% 4.17/2.00 #SimpNegUnit : 137
% 4.17/2.00 #BackRed : 0
% 4.17/2.00
% 4.17/2.00 #Partial instantiations: 0
% 4.17/2.00 #Strategies tried : 1
% 4.17/2.00
% 4.17/2.00 Timing (in seconds)
% 4.17/2.00 ----------------------
% 4.17/2.00 Preprocessing : 0.48
% 4.17/2.00 Parsing : 0.25
% 4.17/2.00 CNF conversion : 0.03
% 4.17/2.00 Main loop : 0.45
% 4.17/2.00 Inferencing : 0.10
% 4.17/2.00 Reduction : 0.14
% 4.17/2.00 Demodulation : 0.08
% 4.17/2.00 BG Simplification : 0.03
% 4.17/2.00 Subsumption : 0.09
% 4.17/2.00 Abstraction : 0.02
% 4.17/2.00 MUC search : 0.00
% 4.17/2.00 Cooper : 0.00
% 4.17/2.00 Total : 0.99
% 4.17/2.00 Index Insertion : 0.00
% 4.17/2.00 Index Deletion : 0.00
% 4.17/2.00 Index Matching : 0.00
% 4.17/2.00 BG Taut test : 0.00
%------------------------------------------------------------------------------