%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV255-2 : 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 : n004.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 09:29:54 PM UTC 2025
% Result : Unsatisfiable 3.15s 1.81s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 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 : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 37 ( 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_plus > c_insert > #nlpp > v_xb > c_Message_Oparts > c_Message_Omsg_ONonce > v_xa > v_x > v_msg2 > v_msg1 > tc_nat > tc_Message_Omsg > c_emptyset
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(v_xb,type,
v_xb: $i > $i ).
tff(v_xa,type,
v_xa: $i ).
tff(c_emptyset,type,
c_emptyset: $i ).
tff(v_msg1,type,
v_msg1: $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_nat,type,
tc_nat: $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_plus,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(v_msg2,type,
v_msg2: $i ).
tff(f_27,axiom,
! [V_U] : c_lessequals(V_U,v_xb(V_U),tc_nat),
file(unknown,unknown) ).
tff(f_48,axiom,
! [V_m,V_k,V_n] :
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_k,V_n,tc_nat) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [V_m,V_k,V_n] :
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_m,V_n,tc_nat) ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [V_U] :
( c_in(c_Message_Omsg_ONonce(v_xb(V_U)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xb(V_U)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [V_U] :
( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,V_U,tc_nat) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [V_U] :
( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_x,V_U,tc_nat) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [V_U_1] : c_lessequals(V_U_1,v_xb(V_U_1),tc_nat),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_14,plain,
! [V_k_12,V_n_13,V_m_14] :
( c_lessequals(V_k_12,V_n_13,tc_nat)
| ~ c_lessequals(c_plus(V_m_14,V_k_12,tc_nat),V_n_13,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_20,plain,
! [V_k_15,V_m_16] : c_lessequals(V_k_15,v_xb(c_plus(V_m_16,V_k_15,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_2,c_14]) ).
tff(c_10,plain,
! [V_k_6,V_n_7,V_m_5] :
( c_lessequals(V_k_6,V_n_7,tc_nat)
| ~ c_lessequals(c_plus(V_m_5,V_k_6,tc_nat),V_n_7,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_49,plain,
! [V_k_23,V_m_24,V_m_25] : c_lessequals(V_k_23,v_xb(c_plus(V_m_24,c_plus(V_m_25,V_k_23,tc_nat),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_20,c_10]) ).
tff(c_59,plain,
! [V_k_6,V_m_24,V_m_25,V_m_5] : c_lessequals(V_k_6,v_xb(c_plus(V_m_24,c_plus(V_m_25,c_plus(V_m_5,V_k_6,tc_nat),tc_nat),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_49,c_10]) ).
tff(c_26,plain,
! [V_m_17,V_n_18,V_k_19] :
( c_lessequals(V_m_17,V_n_18,tc_nat)
| ~ c_lessequals(c_plus(V_m_17,V_k_19,tc_nat),V_n_18,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_36,plain,
! [V_m_17,V_k_19] : c_lessequals(V_m_17,v_xb(c_plus(V_m_17,V_k_19,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_2,c_26]) ).
tff(c_138,plain,
! [V_U_52] :
( c_in(c_Message_Omsg_ONonce(v_xb(V_U_52)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xb(V_U_52)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_6,plain,
! [V_U_3] :
( ~ c_lessequals(v_xa,V_U_3,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U_3),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_187,plain,
! [V_U_69] :
( ~ c_lessequals(v_xa,v_xb(V_U_69),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_xb(V_U_69)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_138,c_6]) ).
tff(c_4,plain,
! [V_U_2] :
( ~ c_lessequals(v_x,V_U_2,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U_2),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_192,plain,
! [V_U_70] :
( ~ c_lessequals(v_x,v_xb(V_U_70),tc_nat)
| ~ c_lessequals(v_xa,v_xb(V_U_70),tc_nat) ),
inference(resolution,[status(thm)],[c_187,c_4]) ).
tff(c_268,plain,
! [V_k_71] : ~ c_lessequals(v_x,v_xb(c_plus(v_xa,V_k_71,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_36,c_192]) ).
tff(c_291,plain,
$false,
inference(resolution,[status(thm)],[c_59,c_268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV255-2 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n004.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 02:54:07 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.15/1.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/1.81
% 3.15/1.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------