TSTP Solution File: NUM695_8 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM695_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 11:41:51 EDT 2023
% Result : Theorem 2.44s 1.49s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 20 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 15 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 12 ~; 0 |; 0 &; 27 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(x_type,type,
x: nat ).
thf(more_type,type,
more: nat > nat > $o ).
thf(suc_type,type,
suc: nat > nat ).
thf(n_1_type,type,
n_1: nat ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(4,axiom,
! [A: nat] :
( ( A != n_1 )
=> ~ ! [B: nat] :
( A
!= ( suc @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz3) ).
thf(10,plain,
! [A: nat] :
( ( A != n_1 )
=> ~ ! [B: nat] :
( A
!= ( suc @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: nat] :
( ( suc @ A )
!= n_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(14,plain,
! [A: nat] :
( ( suc @ A )
!= n_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
! [A: nat] :
( ( suc @ A )
= ( pl @ n_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4g) ).
thf(20,plain,
! [A: nat] :
( ( suc @ A )
= ( pl @ n_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
! [A: $o] :
( ~ ~ A
=> A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',et) ).
thf(9,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: nat,B: nat] : ( more @ ( pl @ A @ B ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz18) ).
thf(18,plain,
! [A: nat,B: nat] : ( more @ ( pl @ A @ B ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
more @ ( suc @ x ) @ n_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz24b) ).
thf(2,negated_conjecture,
~ ( more @ ( suc @ x ) @ n_1 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( more @ ( suc @ x ) @ n_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,plain,
$false,
inference(cvc4,[status(thm)],[10,14,20,9,18,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM695_8 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.14 % Command : run_Leo-III %s %d
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu May 18 17:39:33 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.90/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.96/0.92 % [INFO] Parsing done (102ms).
% 0.96/0.93 % [INFO] Running in sequential loop mode.
% 1.51/1.12 % [INFO] eprover registered as external prover.
% 1.62/1.12 % [INFO] cvc4 registered as external prover.
% 1.62/1.12 % [INFO] Scanning for conjecture ...
% 1.71/1.17 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.71/1.19 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.71/1.20 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.71/1.20 % [INFO] Type checking passed.
% 1.71/1.20 % [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 ...
% 2.44/1.49 % External prover 'cvc4' found a proof!
% 2.44/1.49 % [INFO] Killing All external provers ...
% 2.44/1.49 % Time passed: 989ms (effective reasoning time: 555ms)
% 2.44/1.49 % 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)>
% 2.44/1.49 % Axioms used in derivation (5): satz18, satz3, et, ax3, satz4g
% 2.44/1.49 % No. of inferences in proof: 14
% 2.44/1.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 989 ms resp. 555 ms w/o parsing
% 2.75/1.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.75/1.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------