%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV242-2 : 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 : n013.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 09:29:51 PM UTC 2025
% Result : Unsatisfiable 2.67s 1.67s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_union > #nlpp > tc_set > c_Message_Oanalz > v_H_H > v_H > v_G_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(v_H_H,type,
v_H_H: $i ).
tff(v_G_H,type,
v_G_H: $i ).
tff(c_lessequals,type,
c_lessequals: ( $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_39,axiom,
! [V_A,V_B,T_a] : c_lessequals(V_A,c_union(V_A,V_B,T_a),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_26,axiom,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_49,axiom,
! [V_B,V_C,T_a,V_A] :
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_lessequals(V_A,V_C,tc_set(T_a)) ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [V_B,V_A,T_a] : c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)),
file(unknown,unknown) ).
tff(f_27,axiom,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_32,axiom,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(c_10,plain,
! [V_A_3,V_B_4,T_a_5] : c_lessequals(V_A_3,c_union(V_A_3,V_B_4,T_a_5),tc_set(T_a_5)),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_8,plain,
! [V_G_1,V_H_2] :
( c_lessequals(c_Message_Oanalz(V_G_1),c_Message_Oanalz(V_H_2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G_1,V_H_2,tc_set(tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_2,plain,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_18,plain,
! [V_A_21,V_C_22,T_a_23,V_B_24] :
( c_lessequals(V_A_21,V_C_22,tc_set(T_a_23))
| ~ c_lessequals(V_A_21,V_B_24,tc_set(T_a_23))
| ~ c_lessequals(V_B_24,V_C_22,tc_set(T_a_23)) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_34,plain,
! [V_C_25] :
( c_lessequals(v_G,V_C_25,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_G_H),V_C_25,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_2,c_18]) ).
tff(c_141,plain,
! [V_H_41] :
( c_lessequals(v_G,c_Message_Oanalz(V_H_41),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G_H,V_H_41,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_8,c_34]) ).
tff(c_12,plain,
! [V_B_6,V_A_7,T_a_8] : c_lessequals(V_B_6,c_union(V_A_7,V_B_6,T_a_8),tc_set(T_a_8)),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_4,plain,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_59,plain,
! [V_C_28] :
( c_lessequals(v_H,V_C_28,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_H_H),V_C_28,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_4,c_18]) ).
tff(c_98,plain,
! [V_H_36] :
( c_lessequals(v_H,c_Message_Oanalz(V_H_36),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H_H,V_H_36,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_8,c_59]) ).
tff(c_6,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_58,plain,
~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_101,plain,
~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_98,c_58]) ).
tff(c_107,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_101]) ).
tff(c_108,plain,
~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_144,plain,
~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_141,c_108]) ).
tff(c_150,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV242-2 : 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
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Apr 9 02:52:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.67/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.67/1.68
% 2.67/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------