TSTP Solution File: SWV274-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV274-2 : 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/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 : n004.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 11:03:28 EDT 2023
% Result : Unsatisfiable 6.50s 2.73s
% Output : CNFRefutation 6.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 38 ( 10 unt; 10 typ; 0 def)
% Number of atoms : 52 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 17 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 6 >; 8 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 45 (; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_insert > c_Main_OsubsetI__1 > #nlpp > tc_set > c_Message_Osynth > v_Y > v_X > v_H > tc_Message_Omsg
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_X,type,
v_X: $i ).
tff(tc_set,type,
tc_set: $i > $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(c_Main_OsubsetI__1,type,
c_Main_OsubsetI__1: ( $i * $i * $i ) > $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(v_Y,type,
v_Y: $i ).
tff(v_H,type,
v_H: $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(f_58,axiom,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_55,axiom,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_56,axiom,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_49,axiom,
! [V_A,V_B,T_a] :
( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [V_a,V_b,V_A,T_a] :
( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| c_in(V_a,V_A,T_a)
| ( V_a = V_b ) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [V_A,V_B,T_a] :
( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [V_X,V_G,V_H] :
( ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_16,plain,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_12,plain,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_14,plain,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_8,plain,
! [V_A_10,V_B_11,T_a_12] :
( c_lessequals(V_A_10,V_B_11,tc_set(T_a_12))
| c_in(c_Main_OsubsetI__1(V_A_10,V_B_11,T_a_12),V_A_10,T_a_12) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_33,plain,
! [V_b_26,V_a_27,V_A_28,T_a_29] :
( ( V_b_26 = V_a_27 )
| c_in(V_a_27,V_A_28,T_a_29)
| ~ c_in(V_a_27,c_insert(V_b_26,V_A_28,T_a_29),T_a_29) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_252,plain,
! [V_b_59,V_A_60,T_a_61,V_B_62] :
( ( c_Main_OsubsetI__1(c_insert(V_b_59,V_A_60,T_a_61),V_B_62,T_a_61) = V_b_59 )
| c_in(c_Main_OsubsetI__1(c_insert(V_b_59,V_A_60,T_a_61),V_B_62,T_a_61),V_A_60,T_a_61)
| c_lessequals(c_insert(V_b_59,V_A_60,T_a_61),V_B_62,tc_set(T_a_61)) ),
inference(resolution,[status(thm)],[c_8,c_33]) ).
tff(c_2,plain,
! [V_X_1,V_H_2] :
( c_in(V_X_1,c_Message_Osynth(V_H_2),tc_Message_Omsg)
| ~ c_in(V_X_1,V_H_2,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_22,plain,
! [V_A_18,V_B_19,T_a_20] :
( c_lessequals(V_A_18,V_B_19,tc_set(T_a_20))
| ~ c_in(c_Main_OsubsetI__1(V_A_18,V_B_19,T_a_20),V_B_19,T_a_20) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_26,plain,
! [V_A_18,V_H_2] :
( c_lessequals(V_A_18,c_Message_Osynth(V_H_2),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(V_A_18,c_Message_Osynth(V_H_2),tc_Message_Omsg),V_H_2,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_2,c_22]) ).
tff(c_302,plain,
! [V_b_66,V_A_67] :
( ( c_Main_OsubsetI__1(c_insert(V_b_66,V_A_67,tc_Message_Omsg),c_Message_Osynth(V_A_67),tc_Message_Omsg) = V_b_66 )
| c_lessequals(c_insert(V_b_66,V_A_67,tc_Message_Omsg),c_Message_Osynth(V_A_67),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_252,c_26]) ).
tff(c_4,plain,
! [V_X_3,V_H_5,V_G_4] :
( c_in(V_X_3,c_Message_Osynth(V_H_5),tc_Message_Omsg)
| ~ c_lessequals(V_G_4,c_Message_Osynth(V_H_5),tc_set(tc_Message_Omsg))
| ~ c_in(V_X_3,c_Message_Osynth(V_G_4),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_3507,plain,
! [V_X_172,V_A_173,V_b_174] :
( c_in(V_X_172,c_Message_Osynth(V_A_173),tc_Message_Omsg)
| ~ c_in(V_X_172,c_Message_Osynth(c_insert(V_b_174,V_A_173,tc_Message_Omsg)),tc_Message_Omsg)
| ( c_Main_OsubsetI__1(c_insert(V_b_174,V_A_173,tc_Message_Omsg),c_Message_Osynth(V_A_173),tc_Message_Omsg) = V_b_174 ) ),
inference(resolution,[status(thm)],[c_302,c_4]) ).
tff(c_3589,plain,
( c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
| ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X ) ),
inference(resolution,[status(thm)],[c_12,c_3507]) ).
tff(c_3619,plain,
c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X,
inference(negUnitSimplification,[status(thm)],[c_16,c_3589]) ).
tff(c_10,plain,
! [V_A_13,V_B_14,T_a_15] :
( c_lessequals(V_A_13,V_B_14,tc_set(T_a_15))
| ~ c_in(c_Main_OsubsetI__1(V_A_13,V_B_14,T_a_15),V_B_14,T_a_15) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_3651,plain,
( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(superposition,[status(thm),theory(equality)],[c_3619,c_10]) ).
tff(c_3656,plain,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_3651]) ).
tff(c_3689,plain,
! [V_X_176] :
( c_in(V_X_176,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_in(V_X_176,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_3656,c_4]) ).
tff(c_3783,plain,
c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_12,c_3689]) ).
tff(c_3806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_3783]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n004.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 22:53:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 6.50/2.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.50/2.74
% 6.50/2.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.50/2.77
% 6.50/2.77 Inference rules
% 6.50/2.77 ----------------------
% 6.50/2.77 #Ref : 0
% 6.50/2.77 #Sup : 950
% 6.50/2.77 #Fact : 2
% 6.50/2.77 #Define : 0
% 6.50/2.77 #Split : 0
% 6.50/2.77 #Chain : 0
% 6.50/2.77 #Close : 0
% 6.50/2.77
% 6.50/2.77 Ordering : KBO
% 6.50/2.77
% 6.50/2.77 Simplification rules
% 6.50/2.77 ----------------------
% 6.50/2.77 #Subsume : 33
% 6.50/2.77 #Demod : 208
% 6.50/2.77 #Tautology : 162
% 6.50/2.77 #SimpNegUnit : 3
% 6.50/2.77 #BackRed : 0
% 6.50/2.77
% 6.50/2.77 #Partial instantiations: 0
% 6.50/2.77 #Strategies tried : 1
% 6.50/2.77
% 6.50/2.77 Timing (in seconds)
% 6.50/2.77 ----------------------
% 6.50/2.77 Preprocessing : 0.46
% 6.50/2.77 Parsing : 0.24
% 6.50/2.77 CNF conversion : 0.03
% 6.50/2.77 Main loop : 1.24
% 6.50/2.77 Inferencing : 0.40
% 6.50/2.77 Reduction : 0.28
% 6.50/2.77 Demodulation : 0.19
% 6.50/2.77 BG Simplification : 0.04
% 6.50/2.77 Subsumption : 0.44
% 6.50/2.77 Abstraction : 0.05
% 6.50/2.77 MUC search : 0.00
% 6.50/2.77 Cooper : 0.00
% 6.50/2.77 Total : 1.76
% 6.50/2.78 Index Insertion : 0.00
% 6.50/2.78 Index Deletion : 0.00
% 6.50/2.78 Index Matching : 0.00
% 6.50/2.78 BG Taut test : 0.00
%------------------------------------------------------------------------------