TSTP Solution File: NUM693_8 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : NUM693_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 7 08:00:33 EDT 2024
% Result : Theorem 2.74s 1.65s
% Output : Refutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 18 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 16 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 41 ( 13 ~; 0 |; 0 &; 22 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 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 : 11 ( 0 ^ 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(x_type,type,
x: nat ).
thf(more_type,type,
more: nat > nat > $o ).
thf(n_1_type,type,
n_1: nat ).
thf(suc_type,type,
suc: nat > 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(12,plain,
! [A: nat] :
( ( A != n_1 )
=> ~ ! [B: nat] :
( A
!= ( suc @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
( ~ ( more @ x @ n_1 )
=> ( x = n_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz24) ).
thf(2,negated_conjecture,
~ ( ~ ( more @ x @ n_1 )
=> ( x = n_1 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( ~ ( more @ x @ n_1 )
=> ( x = n_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [A: nat] :
( ( suc @ A )
= ( pl @ n_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4g) ).
thf(18,plain,
! [A: nat] :
( ( suc @ A )
= ( pl @ n_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: nat,B: nat] : ( more @ ( pl @ A @ B ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz18) ).
thf(16,plain,
! [A: nat,B: nat] : ( more @ ( pl @ A @ B ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,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)],[3]) ).
thf(26,plain,
$false,
inference(cvc4,[status(thm)],[12,7,18,16,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM693_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 12:25:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.93/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.95 % [INFO] Parsing done (105ms).
% 1.19/0.96 % [INFO] Running in sequential loop mode.
% 1.61/1.16 % [INFO] eprover registered as external prover.
% 1.61/1.16 % [INFO] cvc4 registered as external prover.
% 1.61/1.17 % [INFO] Scanning for conjecture ...
% 1.70/1.21 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.85/1.23 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.85/1.25 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.85/1.25 % [INFO] Type checking passed.
% 1.85/1.25 % [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 ...
% 2.74/1.65 % External prover 'cvc4' found a proof!
% 2.74/1.65 % [INFO] Killing All external provers ...
% 2.74/1.65 % Time passed: 1131ms (effective reasoning time: 686ms)
% 2.74/1.65 % 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)>
% 2.74/1.65 % Axioms used in derivation (4): satz3, satz4g, satz18, et
% 2.74/1.65 % No. of inferences in proof: 12
% 2.74/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1131 ms resp. 686 ms w/o parsing
% 2.95/1.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.95/1.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------