%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV275-2 : 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/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 : n021.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 09:29:59 PM UTC 2025
% Result : Unsatisfiable 21.12s 10.38s
% Output : CNFRefutation 21.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 25 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 76 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_insert > c_Main_OsubsetI__1 > #nlpp > tc_set > c_Message_Osynth > 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_H,type,
v_H: $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(f_68,axiom,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_42,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_61,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_40,axiom,
! [V_a,V_B,T_a,V_b] :
( ~ c_in(V_a,V_B,T_a)
| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_66,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_49,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_35,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(V_c,V_B,T_a) ),
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(c_18,plain,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_8,plain,
! [V_x_9,V_B_10,T_a_11] : c_in(V_x_9,c_insert(V_x_9,V_B_10,T_a_11),T_a_11),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_14,plain,
! [V_A_20,V_B_21,T_a_22] :
( c_lessequals(V_A_20,V_B_21,tc_set(T_a_22))
| c_in(c_Main_OsubsetI__1(V_A_20,V_B_21,T_a_22),V_A_20,T_a_22) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_6,plain,
! [V_a_5,V_b_8,V_B_6,T_a_7] :
( c_in(V_a_5,c_insert(V_b_8,V_B_6,T_a_7),T_a_7)
| ~ c_in(V_a_5,V_B_6,T_a_7) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_22,plain,
! [V_A_35,V_B_36,T_a_37] :
( c_lessequals(V_A_35,V_B_36,tc_set(T_a_37))
| ~ c_in(c_Main_OsubsetI__1(V_A_35,V_B_36,T_a_37),V_B_36,T_a_37) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_264,plain,
! [V_A_91,V_b_92,V_B_93,T_a_94] :
( c_lessequals(V_A_91,c_insert(V_b_92,V_B_93,T_a_94),tc_set(T_a_94))
| ~ c_in(c_Main_OsubsetI__1(V_A_91,c_insert(V_b_92,V_B_93,T_a_94),T_a_94),V_B_93,T_a_94) ),
inference(resolution,[status(thm)],[c_6,c_22]) ).
tff(c_282,plain,
! [V_A_20,V_b_92,T_a_22] : c_lessequals(V_A_20,c_insert(V_b_92,V_A_20,T_a_22),tc_set(T_a_22)),
inference(resolution,[status(thm)],[c_14,c_264]) ).
tff(c_49,plain,
! [V_b_49,V_a_50,V_A_51,T_a_52] :
( ( V_b_49 = V_a_50 )
| c_in(V_a_50,V_A_51,T_a_52)
| ~ c_in(V_a_50,c_insert(V_b_49,V_A_51,T_a_52),T_a_52) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_437,plain,
! [V_b_122,V_A_123,T_a_124,V_B_125] :
( ( c_Main_OsubsetI__1(c_insert(V_b_122,V_A_123,T_a_124),V_B_125,T_a_124) = V_b_122 )
| c_in(c_Main_OsubsetI__1(c_insert(V_b_122,V_A_123,T_a_124),V_B_125,T_a_124),V_A_123,T_a_124)
| c_lessequals(c_insert(V_b_122,V_A_123,T_a_124),V_B_125,tc_set(T_a_124)) ),
inference(resolution,[status(thm)],[c_14,c_49]) ).
tff(c_4,plain,
! [V_G_3,V_H_4] :
( c_lessequals(c_Message_Osynth(V_G_3),c_Message_Osynth(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_35]) ).
tff(c_39,plain,
! [V_c_45,V_B_46,T_a_47,V_A_48] :
( c_in(V_c_45,V_B_46,T_a_47)
| ~ c_lessequals(V_A_48,V_B_46,tc_set(T_a_47))
| ~ c_in(V_c_45,V_A_48,T_a_47) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_48,plain,
! [V_c_45,V_H_4,V_G_3] :
( c_in(V_c_45,c_Message_Osynth(V_H_4),tc_Message_Omsg)
| ~ c_in(V_c_45,c_Message_Osynth(V_G_3),tc_Message_Omsg)
| ~ c_lessequals(V_G_3,V_H_4,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_4,c_39]) ).
tff(c_7692,plain,
! [V_b_468,V_G_469,V_B_470,V_H_471] :
( c_in(c_Main_OsubsetI__1(c_insert(V_b_468,c_Message_Osynth(V_G_469),tc_Message_Omsg),V_B_470,tc_Message_Omsg),c_Message_Osynth(V_H_471),tc_Message_Omsg)
| ~ c_lessequals(V_G_469,V_H_471,tc_set(tc_Message_Omsg))
| ( c_Main_OsubsetI__1(c_insert(V_b_468,c_Message_Osynth(V_G_469),tc_Message_Omsg),V_B_470,tc_Message_Omsg) = V_b_468 )
| c_lessequals(c_insert(V_b_468,c_Message_Osynth(V_G_469),tc_Message_Omsg),V_B_470,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_437,c_48]) ).
tff(c_16,plain,
! [V_A_23,V_B_24,T_a_25] :
( c_lessequals(V_A_23,V_B_24,tc_set(T_a_25))
| ~ c_in(c_Main_OsubsetI__1(V_A_23,V_B_24,T_a_25),V_B_24,T_a_25) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_45948,plain,
! [V_G_1256,V_H_1257,V_b_1258] :
( ~ c_lessequals(V_G_1256,V_H_1257,tc_set(tc_Message_Omsg))
| ( c_Main_OsubsetI__1(c_insert(V_b_1258,c_Message_Osynth(V_G_1256),tc_Message_Omsg),c_Message_Osynth(V_H_1257),tc_Message_Omsg) = V_b_1258 )
| c_lessequals(c_insert(V_b_1258,c_Message_Osynth(V_G_1256),tc_Message_Omsg),c_Message_Osynth(V_H_1257),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_7692,c_16]) ).
tff(c_46002,plain,
( ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ) ),
inference(resolution,[status(thm)],[c_45948,c_18]) ).
tff(c_46027,plain,
c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_46002]) ).
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_30,plain,
! [V_A_35,V_H_2] :
( c_lessequals(V_A_35,c_Message_Osynth(V_H_2),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(V_A_35,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_46091,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm),theory(equality)],[c_46027,c_30]) ).
tff(c_46120,plain,
c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_46091]) ).
tff(c_46122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_46120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV275-2 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.13 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 02:56:59 EDT 2025
% 0.13/0.34 % CPUTime :
% 21.12/10.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.12/10.38
% 21.12/10.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------