TSTP Solution File: LCL443-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL443-2 : 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 : 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 10:48:08 EDT 2023
% Result : Timeout 287.47s 193.81s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 34 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 5 >; 7 *; 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 : 63 (; 63 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_insert > c_PropLog_Opl_Oop_A_N_62 > c_PropLog_Othms > #nlpp > tc_PropLog_Opl > v_q > v_p > v_H > t_a > c_PropLog_Opl_Ofalse
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_PropLog_Opl_Oop_A_N_62,type,
c_PropLog_Opl_Oop_A_N_62: ( $i * $i * $i ) > $i ).
tff(c_PropLog_Opl_Ofalse,type,
c_PropLog_Opl_Ofalse: $i ).
tff(v_q,type,
v_q: $i ).
tff(t_a,type,
t_a: $i ).
tff(c_PropLog_Othms,type,
c_PropLog_Othms: ( $i * $i ) > $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_H,type,
v_H: $i ).
tff(tc_PropLog_Opl,type,
tc_PropLog_Opl: $i > $i ).
tff(v_p,type,
v_p: $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(f_51,axiom,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file(unknown,unknown) ).
tff(f_52,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file(unknown,unknown) ).
tff(f_48,axiom,
! [V_p,V_G,T_a,V_a] :
( ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))
| c_in(V_p,c_PropLog_Othms(c_insert(V_a,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a)) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [V_x,V_B,T_a] : c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
file(unknown,unknown) ).
tff(f_43,axiom,
! [V_p,V_H,T_a] :
( ~ c_in(V_p,V_H,tc_PropLog_Opl(T_a))
| c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [V_p,V_H,T_a,V_q] :
( ~ c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [V_q,V_p,V_H,T_a] :
( ~ c_in(V_q,c_PropLog_Othms(c_insert(V_p,V_H,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
file(unknown,unknown) ).
tff(f_54,axiom,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file(unknown,unknown) ).
tff(c_12,plain,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_14,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_8,plain,
! [V_p_12,V_a_15,V_G_13,T_a_14] :
( c_in(V_p_12,c_PropLog_Othms(c_insert(V_a_15,V_G_13,tc_PropLog_Opl(T_a_14)),T_a_14),tc_PropLog_Opl(T_a_14))
| ~ c_in(V_p_12,c_PropLog_Othms(V_G_13,T_a_14),tc_PropLog_Opl(T_a_14)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_10,plain,
! [V_x_16,V_B_17,T_a_18] : c_in(V_x_16,c_insert(V_x_16,V_B_17,T_a_18),T_a_18),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_6,plain,
! [V_p_9,V_H_10,T_a_11] :
( c_in(V_p_9,c_PropLog_Othms(V_H_10,T_a_11),tc_PropLog_Opl(T_a_11))
| ~ c_in(V_p_9,V_H_10,tc_PropLog_Opl(T_a_11)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_44,plain,
! [V_q_37,V_H_38,T_a_39,V_p_40] :
( c_in(V_q_37,c_PropLog_Othms(V_H_38,T_a_39),tc_PropLog_Opl(T_a_39))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p_40,V_q_37,T_a_39),c_PropLog_Othms(V_H_38,T_a_39),tc_PropLog_Opl(T_a_39))
| ~ c_in(V_p_40,c_PropLog_Othms(V_H_38,T_a_39),tc_PropLog_Opl(T_a_39)) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_86,plain,
! [V_q_45,V_H_46,T_a_47,V_p_48] :
( c_in(V_q_45,c_PropLog_Othms(V_H_46,T_a_47),tc_PropLog_Opl(T_a_47))
| ~ c_in(V_p_48,c_PropLog_Othms(V_H_46,T_a_47),tc_PropLog_Opl(T_a_47))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p_48,V_q_45,T_a_47),V_H_46,tc_PropLog_Opl(T_a_47)) ),
inference(resolution,[status(thm)],[c_6,c_44]) ).
tff(c_1016,plain,
! [V_q_173,V_p_174,T_a_175,V_B_176] :
( c_in(V_q_173,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(V_p_174,V_q_173,T_a_175),V_B_176,tc_PropLog_Opl(T_a_175)),T_a_175),tc_PropLog_Opl(T_a_175))
| ~ c_in(V_p_174,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(V_p_174,V_q_173,T_a_175),V_B_176,tc_PropLog_Opl(T_a_175)),T_a_175),tc_PropLog_Opl(T_a_175)) ),
inference(resolution,[status(thm)],[c_10,c_86]) ).
tff(c_1593,plain,
! [V_q_212,V_p_213,T_a_214,V_G_215] :
( c_in(V_q_212,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(V_p_213,V_q_212,T_a_214),V_G_215,tc_PropLog_Opl(T_a_214)),T_a_214),tc_PropLog_Opl(T_a_214))
| ~ c_in(V_p_213,c_PropLog_Othms(V_G_215,T_a_214),tc_PropLog_Opl(T_a_214)) ),
inference(resolution,[status(thm)],[c_8,c_1016]) ).
tff(c_60,plain,
! [V_a_15,V_G_13,V_q_37,V_p_40,T_a_14] :
( c_in(V_q_37,c_PropLog_Othms(c_insert(V_a_15,V_G_13,tc_PropLog_Opl(T_a_14)),T_a_14),tc_PropLog_Opl(T_a_14))
| ~ c_in(V_p_40,c_PropLog_Othms(c_insert(V_a_15,V_G_13,tc_PropLog_Opl(T_a_14)),T_a_14),tc_PropLog_Opl(T_a_14))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p_40,V_q_37,T_a_14),c_PropLog_Othms(V_G_13,T_a_14),tc_PropLog_Opl(T_a_14)) ),
inference(resolution,[status(thm)],[c_8,c_44]) ).
tff(c_100092,plain,
! [V_G_2085,T_a_2084,V_q_2082,V_q_2083,V_p_2081] :
( c_in(V_q_2083,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(V_p_2081,V_q_2082,T_a_2084),V_G_2085,tc_PropLog_Opl(T_a_2084)),T_a_2084),tc_PropLog_Opl(T_a_2084))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_q_2082,V_q_2083,T_a_2084),c_PropLog_Othms(V_G_2085,T_a_2084),tc_PropLog_Opl(T_a_2084))
| ~ c_in(V_p_2081,c_PropLog_Othms(V_G_2085,T_a_2084),tc_PropLog_Opl(T_a_2084)) ),
inference(resolution,[status(thm)],[c_1593,c_60]) ).
tff(c_4,plain,
! [V_p_6,V_q_5,T_a_8,V_H_7] :
( c_in(c_PropLog_Opl_Oop_A_N_62(V_p_6,V_q_5,T_a_8),c_PropLog_Othms(V_H_7,T_a_8),tc_PropLog_Opl(T_a_8))
| ~ c_in(V_q_5,c_PropLog_Othms(c_insert(V_p_6,V_H_7,tc_PropLog_Opl(T_a_8)),T_a_8),tc_PropLog_Opl(T_a_8)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_515919,plain,
! [T_a_5165,V_q_5167,V_q_5166,V_p_5163,V_G_5164] :
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p_5163,V_q_5167,T_a_5165),V_q_5166,T_a_5165),c_PropLog_Othms(V_G_5164,T_a_5165),tc_PropLog_Opl(T_a_5165))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_q_5167,V_q_5166,T_a_5165),c_PropLog_Othms(V_G_5164,T_a_5165),tc_PropLog_Opl(T_a_5165))
| ~ c_in(V_p_5163,c_PropLog_Othms(V_G_5164,T_a_5165),tc_PropLog_Opl(T_a_5165)) ),
inference(resolution,[status(thm)],[c_100092,c_4]) ).
tff(c_16,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_516752,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c_515919,c_16]) ).
tff(c_517032,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_516752]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL443-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % 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
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu Aug 3 14:19:21 EDT 2023
% 0.12/0.32 % CPUTime :
% 287.47/193.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 287.47/193.82
% 287.47/193.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 287.47/193.86
% 287.47/193.86 Inference rules
% 287.47/193.86 ----------------------
% 287.47/193.86 #Ref : 0
% 287.47/193.86 #Sup : 121114
% 287.47/193.86 #Fact : 0
% 287.47/193.86 #Define : 0
% 287.47/193.86 #Split : 2
% 287.47/193.86 #Chain : 0
% 287.47/193.86 #Close : 0
% 287.47/193.86
% 287.47/193.86 Ordering : KBO
% 287.47/193.86
% 287.47/193.86 Simplification rules
% 287.47/193.86 ----------------------
% 287.47/193.86 #Subsume : 9800
% 287.47/193.86 #Demod : 23874
% 287.47/193.86 #Tautology : 23944
% 287.47/193.86 #SimpNegUnit : 27
% 287.47/193.86 #BackRed : 0
% 287.47/193.86
% 287.47/193.86 #Partial instantiations: 0
% 287.47/193.86 #Strategies tried : 1
% 287.47/193.86
% 287.47/193.86 Timing (in seconds)
% 287.47/193.86 ----------------------
% 287.47/193.86 Preprocessing : 0.44
% 287.47/193.86 Parsing : 0.25
% 287.47/193.86 CNF conversion : 0.02
% 287.47/193.86 Main loop : 192.31
% 287.47/193.86 Inferencing : 9.91
% 287.47/193.86 Reduction : 52.46
% 287.47/193.86 Demodulation : 46.21
% 287.47/193.86 BG Simplification : 0.94
% 287.47/193.86 Subsumption : 116.35
% 287.47/193.86 Abstraction : 1.06
% 287.47/193.86 MUC search : 0.00
% 287.47/193.86 Cooper : 0.00
% 287.47/193.86 Total : 192.81
% 287.47/193.86 Index Insertion : 0.00
% 287.47/193.86 Index Deletion : 0.00
% 287.47/193.86 Index Matching : 0.00
% 287.47/193.86 BG Taut test : 0.00
%------------------------------------------------------------------------------