TSTP Solution File: SWV283-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %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 : Thu Aug 31 21:37:32 EDT 2023
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 35 ( 5 unt; 15 typ; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 9 >; 8 *; 0 +; 0 <<)
% 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 : 35 ( 7 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_23,type,
c_emptyset: $i ).
tff(decl_24,type,
tc_Message_Omsg: $i ).
tff(decl_25,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Message_Oparts: $i > $i ).
tff(decl_27,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
v_sko__upX: $i > $i ).
tff(decl_29,type,
tc_nat: $i ).
tff(decl_30,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
v_list: $i ).
tff(decl_33,type,
c_Event_Oused: $i > $i ).
tff(decl_34,type,
v_x: $i ).
tff(decl_35,type,
v_xd: $i > $i ).
tff(decl_36,type,
v_xc: $i ).
cnf(cls_conjecture_9,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X2),X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(X1,v_xd(X1),tc_nat)
| c_lessequals(X2,v_xd(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_0,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_x,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Nat_Oadd__leE_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
cnf(cls_Nat_Oadd__leE_1,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
cnf(c_0_6,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_conjecture_9 ).
cnf(c_0_7,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X2),X1,tc_nat) ),
cls_Message_Omsg__Nonce__supply_0 ).
cnf(c_0_8,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(ef,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( c_lessequals(X1,v_xd(X1),tc_nat)
| c_lessequals(X2,v_xd(X2),tc_nat) ),
cls_conjecture_4 ).
cnf(c_0_10,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_x,X1,tc_nat) ),
cls_conjecture_0 ).
cnf(c_0_11,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_xc),v_xd(X1),tc_nat) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
cls_Nat_Oadd__leE_0 ).
cnf(c_0_13,negated_conjecture,
c_lessequals(X1,v_xd(X1),tc_nat),
inference(ef,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(X1),tc_nat)
| ~ c_lessequals(v_x,v_xd(X1),tc_nat) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
c_lessequals(X1,v_xd(c_plus(X2,X1,tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
cls_Nat_Oadd__leE_1 ).
cnf(c_0_17,negated_conjecture,
~ c_lessequals(v_x,v_xd(c_plus(X1,v_sko__upX(v_xc),tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
c_lessequals(X1,v_xd(c_plus(X1,X2,tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 06:07:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.005000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.008000 s
%------------------------------------------------------------------------------