TSTP Solution File: SWV281-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 21:37:31 EDT 2023
% Result : Unsatisfiable 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 33 ( 12 unt; 13 typ; 0 def)
% Number of atoms : 30 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 7 >; 8 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 34 ( 12 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_23,type,
v_evs_H: $i ).
tff(decl_24,type,
c_Event_Oused: $i > $i ).
tff(decl_25,type,
tc_Message_Omsg: $i ).
tff(decl_26,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
v_evs: $i ).
tff(decl_28,type,
c_List_Olist_ONil: $i ).
tff(decl_29,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
tc_nat: $i ).
tff(decl_31,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
c_0: $i ).
tff(decl_34,type,
v_sko__urX: $i > $i ).
cnf(cls_Public_ONonce__supply__lemma_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X2),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
cnf(cls_Nat_Ole__add2_0,axiom,
c_lessequals(X1,c_plus(X2,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).
cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom,
c_plus(c_0,X1,tc_nat) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( X1 = X2
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Nat_Onat__add__right__cancel_0,axiom,
( X1 = X3
| c_plus(X1,X2,tc_nat) != c_plus(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onat__add__right__cancel_0) ).
cnf(cls_List_Olist_Odistinct__1_0,axiom,
c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).
cnf(c_0_6,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X2),X1,tc_nat) ),
cls_Public_ONonce__supply__lemma_0 ).
cnf(c_0_7,axiom,
c_lessequals(X1,c_plus(X2,X1,tc_nat),tc_nat),
cls_Nat_Ole__add2_0 ).
cnf(c_0_8,plain,
~ c_in(c_Message_Omsg_ONonce(c_plus(X1,v_sko__urX(X2),tc_nat)),c_Event_Oused(X2),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
c_plus(c_0,X1,tc_nat) = X1,
cls_Nat_Oop_A_L_Oadd__0_0 ).
cnf(c_0_10,plain,
~ c_in(c_Message_Omsg_ONonce(v_sko__urX(X1)),c_Event_Oused(X1),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( X1 = X2
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
cls_conjecture_0 ).
cnf(c_0_12,negated_conjecture,
( v_sko__urX(v_evs) = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( X1 = v_sko__urX(v_evs_H)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_15,axiom,
( X1 = X3
| c_plus(X1,X2,tc_nat) != c_plus(X3,X2,tc_nat) ),
cls_Nat_Onat__add__right__cancel_0 ).
cnf(c_0_16,negated_conjecture,
c_plus(X1,v_sko__urX(v_evs_H),tc_nat) = v_sko__urX(v_evs_H),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_14]) ).
cnf(c_0_17,axiom,
c_List_Olist_ONil != c_List_Olist_OCons(X1,X2,X3),
cls_List_Olist_Odistinct__1_0 ).
cnf(c_0_18,negated_conjecture,
X1 = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16])]) ).
cnf(c_0_19,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 05:50:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.006000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.008000 s
%------------------------------------------------------------------------------