TSTP Solution File: NUM680_8 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM680_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 11:41:47 EDT 2023
% Result : Theorem 2.67s 1.63s
% Output : Refutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 23 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 33 ( 10 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 20 ~; 0 |; 0 &; 66 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% 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(more_type,type,
more: nat > nat > $o ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(less_type,type,
less: nat > nat > $o ).
thf(3,axiom,
more @ ( pl @ x @ z ) @ ( pl @ y @ z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
thf(10,plain,
more @ ( pl @ x @ z ) @ ( pl @ y @ z ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
more @ x @ y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz20a) ).
thf(2,negated_conjecture,
~ ( more @ x @ y ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( more @ x @ y ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: nat,B: nat] :
~ ( ( ( A = B )
=> ~ ( more @ A @ B ) )
=> ~ ~ ( ( ( more @ A @ B )
=> ~ ( less @ A @ B ) )
=> ~ ( ( less @ A @ B )
=> ( A != B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10b) ).
thf(12,plain,
! [A: nat,B: nat] :
~ ( ( ( A = B )
=> ~ ( more @ A @ B ) )
=> ( ( ( more @ A @ B )
=> ~ ( less @ A @ B ) )
=> ~ ( ( less @ A @ B )
=> ( A != B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $o] :
( ~ ~ A
=> A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',et) ).
thf(11,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: nat,B: nat] :
( ( A != B )
=> ( ~ ( more @ A @ B )
=> ( less @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10a) ).
thf(30,plain,
! [A: nat,B: nat] :
( ( A != B )
=> ( ~ ( more @ A @ B )
=> ( less @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: nat,B: nat,C: nat] :
( ( A = B )
=> ( ( pl @ A @ C )
= ( pl @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19b) ).
thf(22,plain,
! [A: nat,B: nat,C: nat] :
( ( A = B )
=> ( ( pl @ A @ C )
= ( pl @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [A: nat,B: nat,C: nat] :
( ( less @ A @ B )
=> ( less @ ( pl @ A @ C ) @ ( pl @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19c) ).
thf(27,plain,
! [A: nat,B: nat,C: nat] :
( ( less @ A @ B )
=> ( less @ ( pl @ A @ C ) @ ( pl @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(35,plain,
$false,
inference(cvc4,[status(thm)],[10,9,12,11,30,22,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM680_8 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n020.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 : Thu May 18 16:48:03 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.92/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.96 % [INFO] Parsing done (119ms).
% 1.23/0.97 % [INFO] Running in sequential loop mode.
% 1.56/1.16 % [INFO] eprover registered as external prover.
% 1.56/1.16 % [INFO] cvc4 registered as external prover.
% 1.56/1.17 % [INFO] Scanning for conjecture ...
% 1.67/1.22 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.67/1.23 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.85/1.26 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.85/1.26 % [INFO] Type checking passed.
% 1.85/1.26 % [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 ...
% 2.67/1.63 % External prover 'cvc4' found a proof!
% 2.67/1.63 % [INFO] Killing All external provers ...
% 2.67/1.63 % Time passed: 1110ms (effective reasoning time: 660ms)
% 2.67/1.63 % 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)>
% 2.67/1.63 % Axioms used in derivation (6): satz10b, satz19b, m, et, satz10a, satz19c
% 2.67/1.63 % No. of inferences in proof: 16
% 2.67/1.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1110 ms resp. 660 ms w/o parsing
% 2.98/1.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.98/1.66 % [INFO] Killing All external provers ...
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