TSTP Solution File: SWV283-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 : Fri May 19 12:14:46 EDT 2023
% Result : Unsatisfiable 3.00s 1.74s
% Output : Refutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 28 ( 1 unt; 15 typ; 0 def)
% Number of atoms : 29 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 180 ( 12 ~; 16 |; 0 &; 152 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(c_Message_Omsg_ONonce_type,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(c_Event_Oused_type,type,
c_Event_Oused: $i > $i ).
thf(v_list_type,type,
v_list: $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(v_x_type,type,
v_x: $i ).
thf(tc_nat_type,type,
tc_nat: $i ).
thf(v_xd_type,type,
v_xd: $i > $i ).
thf(c_Message_Oparts_type,type,
c_Message_Oparts: $i > $i ).
thf(c_insert_type,type,
c_insert: $i > $i > $i > $i ).
thf(v_xc_type,type,
v_xc: $i ).
thf(c_emptyset_type,type,
c_emptyset: $i ).
thf(v_sko__upX_type,type,
v_sko__upX: $i > $i ).
thf(c_plus_type,type,
c_plus: $i > $i > $i > $i ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ( c_in @ ( c_Message_Omsg_ONonce @ ( v_xd @ A ) ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ ( v_xd @ A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_xc @ c_emptyset @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ ( v_xd @ B ) ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ ( v_xd @ B ) ) @ ( 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) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( c_in @ ( c_Message_Omsg_ONonce @ ( v_xd @ A ) ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ ( v_xd @ A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_xc @ c_emptyset @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ ( v_xd @ B ) ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ ( v_xd @ B ) ) @ ( c_Message_Oparts @ ( c_insert @ v_xc @ c_emptyset @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Oparts @ ( c_insert @ B @ c_emptyset @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__upX @ B ) @ A @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
thf(13,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Message_Oparts @ ( c_insert @ B @ c_emptyset @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__upX @ B ) @ A @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ ( c_plus @ A @ B @ tc_nat ) @ C @ tc_nat )
| ( c_lessequals @ A @ C @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ ( c_plus @ A @ B @ tc_nat ) @ C @ tc_nat )
| ( c_lessequals @ A @ C @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ v_x @ A @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
! [A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ v_x @ A @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ ( v_xd @ A ) @ tc_nat )
| ( c_lessequals @ B @ ( v_xd @ B ) @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( c_lessequals @ A @ ( v_xd @ A ) @ tc_nat )
| ( c_lessequals @ B @ ( v_xd @ B ) @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ ( c_plus @ A @ B @ tc_nat ) @ C @ tc_nat )
| ( c_lessequals @ B @ C @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ ( c_plus @ A @ B @ tc_nat ) @ C @ tc_nat )
| ( c_lessequals @ B @ C @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(27,plain,
$false,
inference(e,[status(thm)],[9,13,17,7,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% 0.17/0.18 % Command : run_Leo-III %s %d
% 0.19/0.40 % Computer : n021.cluster.edu
% 0.19/0.40 % Model : x86_64 x86_64
% 0.19/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40 % Memory : 8042.1875MB
% 0.19/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40 % CPULimit : 300
% 0.19/0.40 % WCLimit : 300
% 0.19/0.40 % DateTime : Fri May 19 02:26:28 EDT 2023
% 0.19/0.40 % CPUTime :
% 0.97/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.02 % [INFO] Parsing done (114ms).
% 1.20/1.03 % [INFO] Running in sequential loop mode.
% 1.63/1.23 % [INFO] eprover registered as external prover.
% 1.63/1.24 % [INFO] cvc4 registered as external prover.
% 1.77/1.24 % [INFO] Scanning for conjecture ...
% 1.81/1.31 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.95/1.34 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.95/1.34 % [INFO] Problem is propositional (TPTP CNF).
% 1.95/1.35 % [INFO] Type checking passed.
% 1.95/1.35 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.00/1.74 % External prover 'e' found a proof!
% 3.00/1.74 % [INFO] Killing All external provers ...
% 3.00/1.74 % Time passed: 1178ms (effective reasoning time: 713ms)
% 3.00/1.74 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.00/1.74 % Axioms used in derivation (3): cls_Message_Omsg__Nonce__supply_0, cls_Nat_Oadd__leE_1, cls_Nat_Oadd__leE_0
% 3.00/1.74 % No. of inferences in proof: 13
% 3.00/1.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1178 ms resp. 713 ms w/o parsing
% 3.23/1.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.23/1.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------