%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV284-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:12:44 PM UTC 2026
% Result : Unsatisfiable 67.28s 9.03s
% Output : Proof 67.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 51 ( 8 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1437,axiom,
( c_lessequals(V_k,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f1437_nnf,plain,
! [V_m,V_k,V_n] :
( c_lessequals(V_k,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
inference(nnf_transformation,[status(thm)],[f1437]) ).
fof(f1437_sk,plain,
! [V_m,V_k,V_n] :
( c_lessequals(V_k,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
inference(skolemisation,[status(esa)],[f1437_nnf]) ).
cnf(c1437,plain,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f1437_sk]) ).
cnf(f1445,negated_conjecture,
c_lessequals(V_U,v_x(V_U),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1445_nnf,plain,
! [V_U] : c_lessequals(V_U,v_x(V_U),tc_nat),
inference(nnf_transformation,[status(thm)],[f1445]) ).
fof(f1445_sk,plain,
! [V_U] : c_lessequals(V_U,v_x(V_U),tc_nat),
inference(skolemisation,[status(esa)],[f1445_nnf]) ).
cnf(c1445,plain,
c_lessequals(X0,v_x(X0),tc_nat),
inference(cnf_transformation,[status(esa)],[f1445_sk]) ).
cnf(p5512,plain,
c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c1437,c1445]) ).
cnf(f1436,axiom,
( ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(V_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f1436_nnf,plain,
! [V_U,V_msg] :
( ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(V_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f1436]) ).
fof(f1436_sk,plain,
! [V_U,V_msg] :
( ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(V_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f1436_nnf]) ).
cnf(c1436,plain,
( ~ c_lessequals(v_sko__upX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1436_sk]) ).
cnf(f1447,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1447_nnf,plain,
! [V_U] :
( c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f1447]) ).
fof(f1447_sk,plain,
! [V_U] :
( c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f1447_nnf]) ).
cnf(c1447,plain,
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1447_sk]) ).
cnf(p5485,plain,
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
inference(resolution,[status(thm)],[c1436,c1447]) ).
cnf(p5515,plain,
c_in(c_Message_Omsg_ONonce(v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
inference(resolution,[status(thm)],[p5512,p5485]) ).
cnf(f1446,negated_conjecture,
( ~ c_lessequals(v_N,V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1446_nnf,plain,
! [V_U] :
( ~ c_lessequals(v_N,V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f1446]) ).
fof(f1446_sk,plain,
! [V_U] :
( ~ c_lessequals(v_N,V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f1446_nnf]) ).
cnf(c1446,plain,
( ~ c_lessequals(v_N,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1446_sk]) ).
cnf(p5732,plain,
~ c_lessequals(v_N,v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[p5515,c1446]) ).
cnf(f1438,axiom,
( c_lessequals(V_m,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f1438_nnf,plain,
! [V_m,V_k,V_n] :
( c_lessequals(V_m,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
inference(nnf_transformation,[status(thm)],[f1438]) ).
fof(f1438_sk,plain,
! [V_m,V_k,V_n] :
( c_lessequals(V_m,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
inference(skolemisation,[status(esa)],[f1438_nnf]) ).
cnf(c1438,plain,
( c_lessequals(X0,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f1438_sk]) ).
cnf(p5556,plain,
c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c1438,c1445]) ).
cnf(p5745,plain,
$false,
inference(resolution,[status(thm)],[p5732,p5556]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV284-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 19:01:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 67.28/9.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.28/9.03 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------