TSTP Solution File: SWV284-2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SWV284-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% 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 : Tue May 21 05:44:25 EDT 2024
% Result : Unsatisfiable 3.01s 1.66s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 28 ( 3 unt; 15 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 136 ( 12 ~; 10 |; 0 &; 114 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 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 : 22 ( 0 ^ 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(v_x_type,type,
v_x: $i > $i ).
thf(tc_nat_type,type,
tc_nat: $i ).
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(v_N_type,type,
v_N: $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_msg_type,type,
v_msg: $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(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(14,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(3,negated_conjecture,
! [A: $i] :
( ( c_in @ ( c_Message_Omsg_ONonce @ ( v_x @ A ) ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ ( v_x @ A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_msg @ c_emptyset @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(9,plain,
! [A: $i] :
( ( c_in @ ( c_Message_Omsg_ONonce @ ( v_x @ A ) ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ ( v_x @ A ) ) @ ( c_Message_Oparts @ ( c_insert @ v_msg @ 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(12,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(1,negated_conjecture,
! [A: $i] : ( c_lessequals @ A @ ( v_x @ A ) @ tc_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
! [A: $i] : ( c_lessequals @ A @ ( v_x @ A ) @ tc_nat ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
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(16,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(2,negated_conjecture,
! [A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ v_N @ A @ tc_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(8,plain,
! [A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ A ) @ ( c_Event_Oused @ v_list ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ v_N @ A @ tc_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[14,9,12,7,16,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV284-2 : TPTP v8.2.0. Released v3.2.0.
% 0.05/0.13 % Command : run_Leo-III %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 07:48:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.86/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.09/0.90 % [INFO] Parsing done (103ms).
% 1.09/0.91 % [INFO] Running in sequential loop mode.
% 1.46/1.13 % [INFO] eprover registered as external prover.
% 1.46/1.13 % [INFO] cvc4 registered as external prover.
% 1.46/1.13 % [INFO] Scanning for conjecture ...
% 1.78/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 1.78/1.22 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.78/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.78/1.23 % [INFO] Type checking passed.
% 1.78/1.23 % [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 ...
% 3.01/1.65 % External prover 'e' found a proof!
% 3.01/1.65 % [INFO] Killing All external provers ...
% 3.01/1.66 % Time passed: 1164ms (effective reasoning time: 745ms)
% 3.01/1.66 % Axioms used in derivation (3): cls_Nat_Oadd__leE_0, cls_Message_Omsg__Nonce__supply_0, cls_Nat_Oadd__leE_1
% 3.01/1.66 % No. of inferences in proof: 13
% 3.01/1.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1164 ms resp. 745 ms w/o parsing
% 3.01/1.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.01/1.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------