TSTP Solution File: NUM692^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : NUM692^1 : TPTP v8.2.0. Released v3.7.0.
% 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 01:31:31 EDT 2024
% Result : Theorem 2.95s 1.93s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 22 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 2 ~; 0 |; 0 &; 62 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(x_type,type,
x: nat ).
thf(y_type,type,
y: nat ).
thf(z_type,type,
z: nat ).
thf(u_type,type,
u: nat ).
thf(lessis_type,type,
lessis: nat > nat > $o ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(moreis_type,type,
moreis: nat > nat > $o ).
thf(4,axiom,
lessis @ z @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
thf(10,plain,
lessis @ z @ u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
lessis @ x @ y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(9,plain,
lessis @ x @ y,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: nat,B: nat,C: nat,D: nat] :
( ( moreis @ A @ B )
=> ( ( moreis @ C @ D )
=> ( moreis @ ( ts @ A @ C ) @ ( ts @ B @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz23) ).
thf(13,plain,
! [A: nat,B: nat,C: nat,D: nat] :
( ( moreis @ A @ B )
=> ( ( moreis @ C @ D )
=> ( moreis @ ( ts @ A @ C ) @ ( ts @ B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [A: nat,B: nat] :
( ( lessis @ A @ B )
=> ( moreis @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz14) ).
thf(16,plain,
! [A: nat,B: nat] :
( ( lessis @ A @ B )
=> ( moreis @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: nat,B: nat] :
( ( moreis @ A @ B )
=> ( lessis @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz13) ).
thf(11,plain,
! [A: nat,B: nat] :
( ( moreis @ A @ B )
=> ( lessis @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
lessis @ ( ts @ x @ z ) @ ( ts @ y @ u ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz23a) ).
thf(2,negated_conjecture,
~ ( lessis @ ( ts @ x @ z ) @ ( ts @ y @ u ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( lessis @ ( ts @ x @ z ) @ ( ts @ y @ u ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,plain,
$false,
inference(e,[status(thm)],[10,9,13,16,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM692^1 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 07:37:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.05/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.37/1.09 % [INFO] Parsing done (143ms).
% 1.37/1.11 % [INFO] Running in sequential loop mode.
% 1.84/1.41 % [INFO] eprover registered as external prover.
% 1.84/1.41 % [INFO] cvc4 registered as external prover.
% 1.84/1.42 % [INFO] Scanning for conjecture ...
% 2.11/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.11/1.51 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.24/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.24/1.54 % [INFO] Type checking passed.
% 2.24/1.54 % [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 ...
% 2.95/1.92 % External prover 'e' found a proof!
% 2.95/1.92 % [INFO] Killing All external provers ...
% 2.95/1.92 % Time passed: 1391ms (effective reasoning time: 813ms)
% 2.95/1.93 % 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)>
% 2.95/1.93 % Axioms used in derivation (5): satz14, l, satz23, k, satz13
% 2.95/1.93 % No. of inferences in proof: 14
% 2.95/1.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1391 ms resp. 813 ms w/o parsing
% 3.42/1.99 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.42/2.00 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------