TSTP Solution File: SWV245-2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV245-2 : 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 11:03:19 EDT 2023
% Result : Unsatisfiable 3.27s 2.19s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 40 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 51 (; 51 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_union > c_Message_Omsg_OMPair > #nlpp > c_Message_Osynth > c_Message_Oanalz > v_Y > v_X > v_H > v_G > tc_Message_Omsg
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
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_Y,type,
v_Y: $i ).
tff(v_H,type,
v_H: $i ).
tff(f_55,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_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_50,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_26,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_62,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(f_40,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_14,plain,
! [V_c_13,V_A_14,V_B_16,T_a_15] :
( c_in(V_c_13,c_union(V_A_14,V_B_16,T_a_15),T_a_15)
| ~ c_in(V_c_13,V_A_14,T_a_15) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_4,plain,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_49,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_12,plain,
! [V_c_9,V_A_12,V_B_10,T_a_11] :
( c_in(V_c_9,c_union(V_A_12,V_B_10,T_a_11),T_a_11)
| ~ c_in(V_c_9,V_B_10,T_a_11) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_48,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_12,c_4]) ).
tff(c_2,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_98,plain,
! [V_c_43,V_A_44,T_a_45,V_B_46] :
( c_in(V_c_43,V_A_44,T_a_45)
| c_in(V_c_43,V_B_46,T_a_45)
| ~ c_in(V_c_43,c_union(V_A_44,V_B_46,T_a_45),T_a_45) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_108,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_2,c_98]) ).
tff(c_224,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(splitLeft,[status(thm)],[c_108]) ).
tff(c_8,plain,
! [V_X_4,V_Y_5,V_H_6] :
( c_in(c_Message_Omsg_OMPair(V_X_4,V_Y_5),V_H_6,tc_Message_Omsg)
| c_in(V_X_4,c_Message_Osynth(V_H_6),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_4,V_Y_5),c_Message_Osynth(V_H_6),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_237,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_224,c_8]) ).
tff(c_256,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_48,c_237]) ).
tff(c_10,plain,
! [V_X_7,V_H_8] :
( c_in(V_X_7,c_Message_Oanalz(V_H_8),tc_Message_Omsg)
| ~ c_in(V_X_7,V_H_8,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_20,plain,
! [V_X_31,V_H_32,V_Y_33] :
( c_in(V_X_31,c_Message_Oanalz(V_H_32),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_31,V_Y_33),c_Message_Oanalz(V_H_32),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_26,plain,
! [V_X_34,V_H_35,V_Y_36] :
( c_in(V_X_34,c_Message_Oanalz(V_H_35),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_34,V_Y_36),V_H_35,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_10,c_20]) ).
tff(c_40,plain,
! [V_X_34,V_A_14,V_B_16,V_Y_36] :
( c_in(V_X_34,c_Message_Oanalz(c_union(V_A_14,V_B_16,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_34,V_Y_36),V_A_14,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_14,c_26]) ).
tff(c_289,plain,
! [V_B_16] : c_in(v_X,c_Message_Oanalz(c_union(v_G,V_B_16,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_256,c_40]) ).
tff(c_295,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_289,c_49]) ).
tff(c_296,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(splitRight,[status(thm)],[c_108]) ).
tff(c_6,plain,
! [V_X_1,V_H_3,V_Y_2] :
( c_in(V_X_1,c_Message_Oanalz(V_H_3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_1,V_Y_2),c_Message_Oanalz(V_H_3),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_321,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_296,c_6]) ).
tff(c_335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49,c_321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV245-2 : 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
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % 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 22:57:09 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.27/2.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.27/2.20
% 3.27/2.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.80/2.25
% 3.80/2.25 Inference rules
% 3.80/2.25 ----------------------
% 3.80/2.26 #Ref : 0
% 3.80/2.26 #Sup : 81
% 3.80/2.26 #Fact : 0
% 3.80/2.26 #Define : 0
% 3.80/2.26 #Split : 1
% 3.80/2.26 #Chain : 0
% 3.80/2.26 #Close : 0
% 3.80/2.26
% 3.80/2.26 Ordering : KBO
% 3.80/2.26
% 3.80/2.26 Simplification rules
% 3.80/2.26 ----------------------
% 3.80/2.26 #Subsume : 0
% 3.80/2.26 #Demod : 1
% 3.80/2.26 #Tautology : 2
% 3.80/2.26 #SimpNegUnit : 2
% 3.80/2.26 #BackRed : 1
% 3.80/2.26
% 3.80/2.26 #Partial instantiations: 0
% 3.80/2.26 #Strategies tried : 1
% 3.80/2.26
% 3.80/2.26 Timing (in seconds)
% 3.80/2.26 ----------------------
% 3.80/2.26 Preprocessing : 0.55
% 3.80/2.26 Parsing : 0.33
% 3.80/2.26 CNF conversion : 0.02
% 3.80/2.26 Main loop : 0.51
% 3.80/2.26 Inferencing : 0.19
% 3.80/2.26 Reduction : 0.13
% 3.80/2.26 Demodulation : 0.08
% 3.80/2.26 BG Simplification : 0.02
% 3.80/2.26 Subsumption : 0.12
% 3.80/2.26 Abstraction : 0.02
% 3.80/2.26 MUC search : 0.00
% 3.80/2.26 Cooper : 0.00
% 3.80/2.26 Total : 1.15
% 3.80/2.26 Index Insertion : 0.00
% 3.80/2.26 Index Deletion : 0.00
% 3.80/2.26 Index Matching : 0.00
% 3.80/2.26 BG Taut test : 0.00
%------------------------------------------------------------------------------