%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV259-2 : 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 : n015.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 09:29:55 PM UTC 2025
% Result : Unsatisfiable 2.84s 1.98s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_insert > #nlpp > tc_set > c_Message_Oparts > 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_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(v_H,type,
v_H: $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(f_44,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file(unknown,unknown) ).
tff(f_32,axiom,
! [V_G,V_H] :
( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [V_x,V_A,T_a,V_B] :
( ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(f_27,axiom,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file(unknown,unknown) ).
tff(c_10,plain,
! [V_A_9,T_a_10] : c_lessequals(V_A_9,V_A_9,tc_set(T_a_10)),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_12,plain,
! [V_G_13,V_H_14] :
( c_lessequals(V_G_13,c_Message_Oparts(V_H_14),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(V_G_13),c_Message_Oparts(V_H_14),tc_set(tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_17,plain,
! [V_G_13] : c_lessequals(V_G_13,c_Message_Oparts(V_G_13),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_10,c_12]) ).
tff(c_51,plain,
! [V_A_21,V_B_22,T_a_23,V_x_24] :
( c_lessequals(V_A_21,V_B_22,tc_set(T_a_23))
| ~ c_lessequals(c_insert(V_x_24,V_A_21,T_a_23),V_B_22,tc_set(T_a_23)) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_75,plain,
! [V_A_21,V_x_24] : c_lessequals(V_A_21,c_Message_Oparts(c_insert(V_x_24,V_A_21,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_17,c_51]) ).
tff(c_30,plain,
! [V_G_17,V_H_18] :
( c_lessequals(c_Message_Oparts(V_G_17),c_Message_Oparts(V_H_18),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G_17,c_Message_Oparts(V_H_18),tc_set(tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_2,plain,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_38,plain,
~ c_lessequals(v_H,c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_30,c_2]) ).
tff(c_85,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWV259-2 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.09 % 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
% 0.08/0.29 % Computer : n015.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Apr 9 02:54:35 EDT 2025
% 0.08/0.29 % CPUTime :
% 2.84/1.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/1.99
% 2.84/1.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------