TSTP Solution File: SWV280-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV280-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 12:14:44 EDT 2023
% Result : Unsatisfiable 2.21s 1.40s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 16 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 46 ( 4 ~; 2 |; 0 &; 40 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% 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_evs_type,type,
v_evs: $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_plus_type,type,
c_plus: $i > $i > $i > $i ).
thf(tc_nat_type,type,
tc_nat: $i ).
thf(v_sko__urX_type,type,
v_sko__urX: $i > $i ).
thf(1,negated_conjecture,
! [A: $i] : ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Event_Oused @ v_evs ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(4,plain,
! [A: $i] : ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Event_Oused @ v_evs ) @ tc_Message_Omsg ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [B: $i,A: $i] : ( c_lessequals @ A @ ( c_plus @ A @ B @ tc_nat ) @ tc_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
thf(5,plain,
! [B: $i,A: $i] : ( c_lessequals @ A @ ( c_plus @ A @ B @ tc_nat ) @ tc_nat ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__urX @ B ) @ A @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
thf(6,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Event_Oused @ B ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__urX @ B ) @ A @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
$false,
inference(e,[status(thm)],[4,5,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWV280-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 19 02:35:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.86/0.77 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.12/0.87 % [INFO] Parsing done (101ms).
% 1.12/0.88 % [INFO] Running in sequential loop mode.
% 1.38/1.08 % [INFO] eprover registered as external prover.
% 1.53/1.08 % [INFO] cvc4 registered as external prover.
% 1.53/1.09 % [INFO] Scanning for conjecture ...
% 1.53/1.13 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.53/1.15 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.71/1.16 % [INFO] Problem is propositional (TPTP CNF).
% 1.71/1.16 % [INFO] Type checking passed.
% 1.71/1.16 % [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 ...
% 2.21/1.40 % External prover 'e' found a proof!
% 2.21/1.40 % [INFO] Killing All external provers ...
% 2.21/1.40 % Time passed: 901ms (effective reasoning time: 516ms)
% 2.21/1.40 % 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)>
% 2.21/1.40 % Axioms used in derivation (2): cls_Nat_Ole__add1_0, cls_Public_ONonce__supply__lemma_0
% 2.21/1.40 % No. of inferences in proof: 7
% 2.21/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 901 ms resp. 516 ms w/o parsing
% 2.21/1.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.21/1.42 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------