TSTP Solution File: SWV250-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV250-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n007.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 11:03:20 EDT 2023
% Result : Unsatisfiable 3.05s 1.84s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 28 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 32 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 35 (; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_union > #nlpp > c_Message_Osynth > c_Message_Oanalz > v_x > v_H > v_G > tc_Message_Omsg
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(v_G,type,
v_G: $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(v_H,type,
v_H: $i ).
tff(f_44,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_28,axiom,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_49,axiom,
! [V_c,V_B,T_a,V_A] :
( ~ c_in(V_c,V_B,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_G,V_H] : ( c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_32,axiom,
! [V_G,V_H] : ( c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [V_c,V_A,V_B,T_a] :
( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a)
| c_in(V_c,V_A,T_a) ),
file(unknown,unknown) ).
tff(c_12,plain,
! [V_c_9,V_A_10,V_B_12,T_a_11] :
( c_in(V_c_9,c_union(V_A_10,V_B_12,T_a_11),T_a_11)
| ~ c_in(V_c_9,V_A_10,T_a_11) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_4,plain,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_41,plain,
~ c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_12,c_4]) ).
tff(c_14,plain,
! [V_c_13,V_A_16,V_B_14,T_a_15] :
( c_in(V_c_13,c_union(V_A_16,V_B_14,T_a_15),T_a_15)
| ~ c_in(V_c_13,V_B_14,T_a_15) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_40,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_14,c_4]) ).
tff(c_6,plain,
! [V_G_1,V_H_2] : ( c_Message_Oanalz(c_union(c_Message_Oanalz(V_G_1),V_H_2,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G_1,V_H_2,tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_2,plain,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_8,plain,
! [V_G_3,V_H_4] : ( c_union(c_Message_Oanalz(c_union(V_G_3,V_H_4,tc_Message_Omsg)),c_Message_Osynth(V_G_3),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(V_G_3),V_H_4,tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_70,plain,
! [V_c_32,V_A_33,T_a_34,V_B_35] :
( c_in(V_c_32,V_A_33,T_a_34)
| c_in(V_c_32,V_B_35,T_a_34)
| ~ c_in(V_c_32,c_union(V_A_33,V_B_35,T_a_34),T_a_34) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_209,plain,
! [V_c_46,V_G_47,V_H_48] :
( c_in(V_c_46,c_Message_Oanalz(c_union(V_G_47,V_H_48,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(V_c_46,c_Message_Osynth(V_G_47),tc_Message_Omsg)
| ~ c_in(V_c_46,c_Message_Oanalz(c_union(c_Message_Osynth(V_G_47),V_H_48,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_70]) ).
tff(c_218,plain,
( c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_2,c_209]) ).
tff(c_222,plain,
( c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_218]) ).
tff(c_224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41,c_40,c_222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV250-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % 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 : n007.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
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:17:24 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.05/1.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.05/1.84
% 3.05/1.84 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.05/1.87
% 3.05/1.87 Inference rules
% 3.05/1.87 ----------------------
% 3.05/1.87 #Ref : 0
% 3.05/1.87 #Sup : 54
% 3.05/1.87 #Fact : 0
% 3.05/1.87 #Define : 0
% 3.05/1.87 #Split : 0
% 3.05/1.87 #Chain : 0
% 3.05/1.87 #Close : 0
% 3.05/1.87
% 3.05/1.87 Ordering : KBO
% 3.05/1.87
% 3.05/1.87 Simplification rules
% 3.05/1.87 ----------------------
% 3.05/1.87 #Subsume : 1
% 3.05/1.87 #Demod : 22
% 3.05/1.87 #Tautology : 17
% 3.05/1.87 #SimpNegUnit : 1
% 3.05/1.87 #BackRed : 0
% 3.05/1.87
% 3.05/1.87 #Partial instantiations: 0
% 3.05/1.87 #Strategies tried : 1
% 3.05/1.87
% 3.05/1.87 Timing (in seconds)
% 3.05/1.87 ----------------------
% 3.05/1.87 Preprocessing : 0.42
% 3.05/1.87 Parsing : 0.23
% 3.05/1.87 CNF conversion : 0.02
% 3.05/1.87 Main loop : 0.31
% 3.05/1.87 Inferencing : 0.13
% 3.05/1.87 Reduction : 0.09
% 3.05/1.87 Demodulation : 0.07
% 3.05/1.88 BG Simplification : 0.02
% 3.05/1.88 Subsumption : 0.06
% 3.05/1.88 Abstraction : 0.02
% 3.05/1.88 MUC search : 0.00
% 3.05/1.88 Cooper : 0.00
% 3.05/1.88 Total : 0.78
% 3.05/1.88 Index Insertion : 0.00
% 3.05/1.88 Index Deletion : 0.00
% 3.05/1.88 Index Matching : 0.00
% 3.05/1.88 BG Taut test : 0.00
%------------------------------------------------------------------------------