TSTP Solution File: SYO530^1 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO530^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 08:57:17 EDT 2024
% Result : Theorem 2.92s 1.85s
% Output : Refutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 2 ~; 0 |; 0 &; 30 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 4 con; 0-0 aty)
% Number of variables : 17 ( 2 ^ 5 !; 10 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
! [A: $i > $i > $o] :
( ? [B: $i,C: $i] : ( A @ B @ C )
=> ( A @ ( epsa @ A ) @ ( epsb @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ! [A: $i > $i > $o] :
( ? [B: $i,C: $i] : ( A @ B @ C )
=> ( A @ ( epsa @ A ) @ ( epsb @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i > $i > $o] :
( ? [B: $i,C: $i] : ( A @ B @ C )
=> ( A
@ ( eps
@ ^ [B: $i] :
? [C: $i] : ( A @ B @ C ) )
@ ( eps
@ ( A
@ ( eps
@ ^ [B: $i] :
? [C: $i] : ( A @ B @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i > $o] :
( ? [B: $i] : ( A @ B )
=> ( A @ ( eps @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceax) ).
thf(7,plain,
! [A: $i > $o] :
( ? [B: $i] : ( A @ B )
=> ( A @ ( eps @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[4,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SYO530^1 : TPTP v8.2.0. Released v5.2.0.
% 0.05/0.13 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 11:04:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.86/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.10/0.95 % [INFO] Parsing done (121ms).
% 1.10/0.96 % [INFO] Running in sequential loop mode.
% 1.55/1.25 % [INFO] eprover registered as external prover.
% 1.55/1.25 % [INFO] cvc4 registered as external prover.
% 1.55/1.26 % [INFO] Scanning for conjecture ...
% 1.75/1.34 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.80/1.37 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.80/1.38 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.38 % [INFO] Type checking passed.
% 1.80/1.38 % [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 ...
% 2.92/1.85 % External prover 'e' found a proof!
% 2.92/1.85 % [INFO] Killing All external provers ...
% 2.92/1.85 % Time passed: 1379ms (effective reasoning time: 885ms)
% 2.92/1.85 % 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)>
% 2.92/1.85 % Axioms used in derivation (1): choiceax
% 2.92/1.85 % No. of inferences in proof: 6
% 2.92/1.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1379 ms resp. 885 ms w/o parsing
% 3.00/1.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.00/1.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------