%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV267-2 : 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 : n018.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 09:29:57 PM UTC 2025
% Result : Unsatisfiable 2.37s 1.61s
% Output : CNFRefutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 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 : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > #nlpp > tc_set > c_Message_Oparts > v_H > v_G > tc_Message_Omsg
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_G,type,
v_G: $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(f_28,axiom,
~ c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_26,axiom,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_H] : c_lessequals(V_H,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)),
file(unknown,unknown) ).
tff(f_38,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(c_4,plain,
~ c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_6,plain,
! [V_H_1] : c_lessequals(V_H_1,c_Message_Oparts(V_H_1),tc_set(tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_10,plain,
! [V_A_7,V_C_8,T_a_9,V_B_10] :
( c_lessequals(V_A_7,V_C_8,tc_set(T_a_9))
| ~ c_lessequals(V_A_7,V_B_10,tc_set(T_a_9))
| ~ c_lessequals(V_B_10,V_C_8,tc_set(T_a_9)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_17,plain,
! [V_H_11,V_C_12] :
( c_lessequals(V_H_11,V_C_12,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(V_H_11),V_C_12,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_6,c_10]) ).
tff(c_20,plain,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[c_2,c_17]) ).
tff(c_28,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV267-2 : 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
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Apr 9 02:55:32 EDT 2025
% 0.14/0.35 % CPUTime :
% 2.37/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/1.62
% 2.60/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------