TSTP Solution File: SWV272-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV272-2 : 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 : n032.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 11:03:27 EDT 2023
% Result : Unsatisfiable 2.85s 1.70s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 38 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 20 |; 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 : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 46 (; 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_union > c_Message_Omsg_OCrypt > #nlpp > c_Message_Osynth > c_Message_Oparts > v_X > v_K > v_H > tc_Message_Omsg
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_K,type,
v_K: $i ).
tff(v_X,type,
v_X: $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_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(v_H,type,
v_H: $i ).
tff(f_57,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_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_62,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_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_52,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_35,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),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_OCrypt(V_K,V_X),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_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_23,plain,
! [V_c_27,V_A_28,V_B_29,T_a_30] :
( c_in(V_c_27,c_union(V_A_28,V_B_29,T_a_30),T_a_30)
| ~ c_in(V_c_27,V_A_28,T_a_30) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4,plain,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_27,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_23,c_4]) ).
tff(c_18,plain,
! [V_c_23,V_A_24,V_B_25,T_a_26] :
( c_in(V_c_23,c_union(V_A_24,V_B_25,T_a_26),T_a_26)
| ~ c_in(V_c_23,V_B_25,T_a_26) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_22,plain,
~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_18,c_4]) ).
tff(c_2,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_38,plain,
! [V_c_34,V_A_35,T_a_36,V_B_37] :
( c_in(V_c_34,V_A_35,T_a_36)
| c_in(V_c_34,V_B_37,T_a_36)
| ~ c_in(V_c_34,c_union(V_A_35,V_B_37,T_a_36),T_a_36) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_49,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_2,c_38]) ).
tff(c_104,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg),
inference(splitLeft,[status(thm)],[c_49]) ).
tff(c_6,plain,
! [V_K_1,V_X_2,V_H_3] :
( c_in(c_Message_Omsg_OCrypt(V_K_1,V_X_2),V_H_3,tc_Message_Omsg)
| c_in(V_X_2,c_Message_Osynth(V_H_3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_1,V_X_2),c_Message_Osynth(V_H_3),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_107,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_104,c_6]) ).
tff(c_117,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg),
inference(negUnitSimplification,[status(thm)],[c_22,c_107]) ).
tff(c_10,plain,
! [V_X_7,V_H_8] :
( c_in(V_X_7,c_Message_Oparts(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_32,plain,
! [V_X_31,V_H_32,V_K_33] :
( c_in(V_X_31,c_Message_Oparts(V_H_32),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_33,V_X_31),c_Message_Oparts(V_H_32),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_37,plain,
! [V_X_31,V_H_8,V_K_33] :
( c_in(V_X_31,c_Message_Oparts(V_H_8),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_33,V_X_31),V_H_8,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_10,c_32]) ).
tff(c_148,plain,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_117,c_37]) ).
tff(c_155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27,c_148]) ).
tff(c_156,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(splitRight,[status(thm)],[c_49]) ).
tff(c_8,plain,
! [V_X_5,V_H_6,V_K_4] :
( c_in(V_X_5,c_Message_Oparts(V_H_6),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K_4,V_X_5),c_Message_Oparts(V_H_6),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_167,plain,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_156,c_8]) ).
tff(c_174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV272-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.12/0.33 % Computer : n032.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 3 23:02:21 EDT 2023
% 0.12/0.33 % CPUTime :
% 2.85/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.85/1.71
% 2.85/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.95/1.75
% 2.95/1.75 Inference rules
% 2.95/1.75 ----------------------
% 2.95/1.75 #Ref : 0
% 2.95/1.75 #Sup : 36
% 2.95/1.75 #Fact : 0
% 2.95/1.75 #Define : 0
% 2.95/1.75 #Split : 1
% 2.95/1.75 #Chain : 0
% 2.95/1.75 #Close : 0
% 2.95/1.75
% 2.95/1.75 Ordering : KBO
% 2.95/1.75
% 2.95/1.75 Simplification rules
% 2.95/1.75 ----------------------
% 2.95/1.75 #Subsume : 0
% 2.95/1.75 #Demod : 0
% 2.95/1.75 #Tautology : 2
% 2.95/1.75 #SimpNegUnit : 3
% 2.95/1.75 #BackRed : 0
% 2.95/1.75
% 2.95/1.75 #Partial instantiations: 0
% 2.95/1.75 #Strategies tried : 1
% 2.95/1.75
% 2.95/1.75 Timing (in seconds)
% 2.95/1.75 ----------------------
% 2.95/1.75 Preprocessing : 0.42
% 2.95/1.75 Parsing : 0.23
% 2.95/1.75 CNF conversion : 0.02
% 2.95/1.75 Main loop : 0.30
% 2.95/1.75 Inferencing : 0.12
% 2.95/1.75 Reduction : 0.07
% 2.95/1.75 Demodulation : 0.05
% 2.95/1.75 BG Simplification : 0.01
% 2.95/1.75 Subsumption : 0.07
% 2.95/1.75 Abstraction : 0.01
% 2.95/1.75 MUC search : 0.00
% 2.95/1.75 Cooper : 0.00
% 2.95/1.75 Total : 0.78
% 2.95/1.75 Index Insertion : 0.00
% 2.95/1.75 Index Deletion : 0.00
% 2.95/1.75 Index Matching : 0.00
% 2.95/1.75 BG Taut test : 0.00
%------------------------------------------------------------------------------