TSTP Solution File: LCL864^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : LCL864^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 00:08:34 EDT 2024
% Result : Theorem 3.91s 1.92s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 15 ( 9 unt; 6 typ; 5 def)
% Number of atoms : 26 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 84 ( 2 ~; 0 |; 17 &; 58 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 33 ( 5 ^ 26 !; 2 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mreflexive_def,definition,
( mreflexive
= ( ^ [A: $i > $i > $o] :
! [B: $i] : ( A @ B @ B ) ) ) ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(msymmetric_def,definition,
( msymmetric
= ( ^ [A: $i > $i > $o] :
! [B: $i,C: $i] :
( ( A @ B @ C )
=> ( A @ C @ B ) ) ) ) ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf(mserial_def,definition,
( mserial
= ( ^ [A: $i > $i > $o] :
! [B: $i] :
? [C: $i] : ( A @ B @ C ) ) ) ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(mtransitive_def,definition,
( mtransitive
= ( ^ [A: $i > $i > $o] :
! [B: $i,C: $i,D: $i] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) ) ) ).
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(meuclidean_def,definition,
( meuclidean
= ( ^ [A: $i > $i > $o] :
! [B: $i,C: $i,D: $i] :
( ( ( A @ B @ C )
& ( A @ B @ D ) )
=> ( A @ C @ D ) ) ) ) ).
thf(1,conjecture,
! [A: $i > $i > $o] :
( ( ( mreflexive @ A )
& ( meuclidean @ A ) )
= ( ( mserial @ A )
& ( mtransitive @ A )
& ( msymmetric @ A )
& ( meuclidean @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ! [A: $i > $i > $o] :
( ( ( mreflexive @ A )
& ( meuclidean @ A ) )
= ( ( mserial @ A )
& ( mtransitive @ A )
& ( msymmetric @ A )
& ( meuclidean @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $i > $o] :
( ( ! [B: $i] : ( A @ B @ B )
& ! [B: $i,C: $i,D: $i] :
( ( ( A @ B @ C )
& ( A @ B @ D ) )
=> ( A @ C @ D ) ) )
= ( ! [B: $i] :
? [C: $i] : ( A @ B @ C )
& ! [B: $i,C: $i,D: $i] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) )
& ! [B: $i,C: $i] :
( ( A @ B @ C )
=> ( A @ C @ B ) )
& ! [B: $i,C: $i,D: $i] :
( ( ( A @ B @ C )
& ( A @ B @ D ) )
=> ( A @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(50,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL864^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n015.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 20 01:04:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.00/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.32/1.07 % [INFO] Parsing done (151ms).
% 1.32/1.08 % [INFO] Running in sequential loop mode.
% 1.86/1.29 % [INFO] eprover registered as external prover.
% 1.86/1.29 % [INFO] cvc4 registered as external prover.
% 1.86/1.29 % [INFO] Scanning for conjecture ...
% 2.23/1.40 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.23/1.42 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.23/1.42 % [INFO] Problem is higher-order (TPTP THF).
% 2.23/1.42 % [INFO] Type checking passed.
% 2.23/1.42 % [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 ...
% 3.91/1.92 % External prover 'cvc4' found a proof!
% 3.91/1.92 % [INFO] Killing All external provers ...
% 3.91/1.92 % Time passed: 1390ms (effective reasoning time: 837ms)
% 3.91/1.92 % 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)>
% 3.91/1.92 % Axioms used in derivation (0):
% 3.91/1.92 % No. of inferences in proof: 4
% 3.91/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1390 ms resp. 837 ms w/o parsing
% 3.91/1.95 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.91/1.95 % [INFO] Killing All external provers ...
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