%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV255-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : Thu May 9 17:44:31 EDT 2024
% Result : Unsatisfiable 0.42s 0.60s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 7 unt; 1 nHn; 7 RR)
% Number of literals : 19 ( 0 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% 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 : 20 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Nat_Oadd__leE_1,axiom,
( ~ c_lessequals(c_plus(X9,X10,tc_nat),X8,tc_nat)
| c_lessequals(X9,X8,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(X2,v_xb(X2),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c3,plain,
c_lessequals(X12,v_xb(c_plus(X12,X11,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[cls_Nat_Oadd__leE_1,cls_conjecture_0]) ).
cnf(c4,plain,
c_lessequals(X22,v_xb(c_plus(c_plus(X22,X21,tc_nat),X20,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c3,cls_Nat_Oadd__leE_1]) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X13),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_x,X13,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Nat_Oadd__leE_0,axiom,
( ~ c_lessequals(c_plus(X4,X5,tc_nat),X3,tc_nat)
| c_lessequals(X5,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
cnf(c0,plain,
c_lessequals(X6,v_xb(c_plus(X7,X6,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[cls_Nat_Oadd__leE_0,cls_conjecture_0]) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X30),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,X30,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xb(X51)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xb(X51)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c26,plain,
( c_in(c_Message_Omsg_ONonce(v_xb(X120)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,v_xb(X120),tc_nat) ),
inference(resolution,[status(thm)],[cls_conjecture_3,cls_conjecture_2]) ).
cnf(c59,plain,
c_in(c_Message_Omsg_ONonce(v_xb(c_plus(X122,v_xa,tc_nat))),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c26,c0]) ).
cnf(c112,plain,
~ c_lessequals(v_x,v_xb(c_plus(X123,v_xa,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c59,cls_conjecture_1]) ).
cnf(c113,plain,
$false,
inference(resolution,[status(thm)],[c112,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV255-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 9 05:13:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.42/0.60 % Version: 1.5
% 0.42/0.60 % SZS status Unsatisfiable
% 0.42/0.60 % SZS output start CNFRefutation
% See solution above
% 0.42/0.60
% 0.42/0.60 % Initial clauses : 6
% 0.42/0.60 % Processed clauses : 40
% 0.42/0.60 % Factors computed : 0
% 0.42/0.60 % Resolvents computed: 124
% 0.42/0.60 % Tautologies deleted: 0
% 0.42/0.60 % Forward subsumed : 0
% 0.42/0.60 % Backward subsumed : 0
% 0.42/0.60 % -------- CPU Time ---------
% 0.42/0.60 % User time : 0.212 s
% 0.42/0.60 % System time : 0.022 s
% 0.42/0.60 % Total time : 0.234 s
%------------------------------------------------------------------------------