%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV248-2 : TPTP v9.0.0. 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 : n002.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 : Wed Apr 9 09:29:52 PM UTC 2025
% Result : Unsatisfiable 4.42s 2.15s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 31 ~; 25 |; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 69 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_union > c_Main_OsubsetI__1 > #nlpp > tc_set > c_Message_Osynth > c_Message_Oanalz > v_H > v_G > tc_Message_Omsg
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_G,type,
v_G: $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $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(c_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(v_H,type,
v_H: $i ).
tff(f_64,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_47,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_69,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_60,axiom,
! [V_B,V_C,T_a,V_A] :
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_C,tc_set(T_a))
| c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(f_52,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_32,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_27,axiom,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_42,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(c_16,plain,
! [V_A_19,V_B_20,T_a_21] :
( c_lessequals(V_A_19,V_B_20,tc_set(T_a_21))
| c_in(c_Main_OsubsetI__1(V_A_19,V_B_20,T_a_21),V_A_19,T_a_21) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_10,plain,
! [V_c_7,V_A_10,V_B_8,T_a_9] :
( c_in(V_c_7,c_union(V_A_10,V_B_8,T_a_9),T_a_9)
| ~ c_in(V_c_7,V_B_8,T_a_9) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_24,plain,
! [V_A_40,V_B_41,T_a_42] :
( c_lessequals(V_A_40,V_B_41,tc_set(T_a_42))
| ~ c_in(c_Main_OsubsetI__1(V_A_40,V_B_41,T_a_42),V_B_41,T_a_42) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_185,plain,
! [V_A_69,V_A_70,V_B_71,T_a_72] :
( c_lessequals(V_A_69,c_union(V_A_70,V_B_71,T_a_72),tc_set(T_a_72))
| ~ c_in(c_Main_OsubsetI__1(V_A_69,c_union(V_A_70,V_B_71,T_a_72),T_a_72),V_B_71,T_a_72) ),
inference(resolution,[status(thm)],[c_10,c_24]) ).
tff(c_201,plain,
! [V_A_19,V_A_70,T_a_21] : c_lessequals(V_A_19,c_union(V_A_70,V_A_19,T_a_21),tc_set(T_a_21)),
inference(resolution,[status(thm)],[c_16,c_185]) ).
tff(c_14,plain,
! [V_A_18,V_B_15,T_a_17,V_C_16] :
( c_lessequals(c_union(V_A_18,V_B_15,T_a_17),V_C_16,tc_set(T_a_17))
| ~ c_lessequals(V_A_18,V_C_16,tc_set(T_a_17))
| ~ c_lessequals(V_B_15,V_C_16,tc_set(T_a_17)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_6,plain,
! [V_G_3,V_H_4] :
( c_lessequals(c_Message_Oanalz(V_G_3),c_Message_Oanalz(V_H_4),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G_3,V_H_4,tc_set(tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_12,plain,
! [V_c_11,V_A_12,V_B_14,T_a_13] :
( c_in(V_c_11,c_union(V_A_12,V_B_14,T_a_13),T_a_13)
| ~ c_in(V_c_11,V_A_12,T_a_13) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_4,plain,
! [V_X_1,V_H_2] :
( c_in(V_X_1,c_Message_Oanalz(V_H_2),tc_Message_Omsg)
| ~ c_in(V_X_1,V_H_2,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_70,plain,
! [V_A_54,V_H_55] :
( c_lessequals(V_A_54,c_Message_Oanalz(V_H_55),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(V_A_54,c_Message_Oanalz(V_H_55),tc_Message_Omsg),V_H_55,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_4,c_24]) ).
tff(c_495,plain,
! [V_A_127,V_A_128,V_B_129] :
( c_lessequals(V_A_127,c_Message_Oanalz(c_union(V_A_128,V_B_129,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(V_A_127,c_Message_Oanalz(c_union(V_A_128,V_B_129,tc_Message_Omsg)),tc_Message_Omsg),V_A_128,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_12,c_70]) ).
tff(c_511,plain,
! [V_A_19,V_B_129] : c_lessequals(V_A_19,c_Message_Oanalz(c_union(V_A_19,V_B_129,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_16,c_495]) ).
tff(c_2,plain,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_118,plain,
( ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_14,c_2]) ).
tff(c_228,plain,
~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(splitLeft,[status(thm)],[c_118]) ).
tff(c_518,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_511,c_228]) ).
tff(c_519,plain,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(splitRight,[status(thm)],[c_118]) ).
tff(c_526,plain,
~ c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_6,c_519]) ).
tff(c_529,plain,
( ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_14,c_526]) ).
tff(c_533,plain,
~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(demodulation,[status(thm),theory(equality)],[c_201,c_529]) ).
tff(c_537,plain,
c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg),
inference(resolution,[status(thm)],[c_16,c_533]) ).
tff(c_8,plain,
! [V_X_5,V_H_6] :
( c_in(V_X_5,c_Message_Osynth(V_H_6),tc_Message_Omsg)
| ~ c_in(V_X_5,V_H_6,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_207,plain,
! [V_A_76,V_A_77,V_B_78,T_a_79] :
( c_lessequals(V_A_76,c_union(V_A_77,V_B_78,T_a_79),tc_set(T_a_79))
| ~ c_in(c_Main_OsubsetI__1(V_A_76,c_union(V_A_77,V_B_78,T_a_79),T_a_79),V_A_77,T_a_79) ),
inference(resolution,[status(thm)],[c_12,c_24]) ).
tff(c_803,plain,
! [V_A_177,V_H_178,V_B_179] :
( c_lessequals(V_A_177,c_union(c_Message_Osynth(V_H_178),V_B_179,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(V_A_177,c_union(c_Message_Osynth(V_H_178),V_B_179,tc_Message_Omsg),tc_Message_Omsg),V_H_178,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_8,c_207]) ).
tff(c_805,plain,
c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_537,c_803]) ).
tff(c_824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_533,c_805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV248-2 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.13 % 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
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 02:54:17 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.42/2.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.42/2.16
% 4.42/2.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------