TSTP Solution File: SYO066^4.001 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO066^4.001 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 08:55:40 EDT 2024
% Result : Theorem 3.08s 1.65s
% Output : Refutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 21 ( 8 unt; 6 typ; 3 def)
% Number of atoms : 43 ( 3 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 2 ~; 1 |; 2 &; 43 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 3 ^ 13 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(irel_type,type,
irel: $i > $i > $o ).
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(iatom_def,definition,
( iatom
= ( ^ [A: $i > $o] : A ) ) ).
thf(ior_type,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(ior_def,definition,
( ior
= ( ^ [A: $i > $o,B: $i > $o] : ( mor @ ( mbox_s4 @ A ) @ ( mbox_s4 @ B ) ) ) ) ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(ivalid_def,definition,
( ivalid
= ( '!' @ $i ) ) ).
thf(o11_type,type,
o11: $i > $o ).
thf(o21_type,type,
o21: $i > $o ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( irel @ A @ B )
& ( irel @ B @ C ) )
=> ( irel @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom) ).
thf(14,plain,
! [A: $i,B: $i,C: $i] :
( ( ( irel @ A @ B )
& ( irel @ B @ C ) )
=> ( irel @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [A: $i] : ( irel @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom) ).
thf(12,plain,
! [A: $i] : ( irel @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
ivalid @ ( ior @ ( iatom @ o11 ) @ ( iatom @ o21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( ivalid @ ( ior @ ( iatom @ o11 ) @ ( iatom @ o21 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ! [A: $i] :
( ! [B: $i] :
( ( irel @ A @ B )
=> ( o11 @ B ) )
| ! [B: $i] :
( ( irel @ A @ B )
=> ( o21 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
ivalid @ ( iatom @ o21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom2) ).
thf(18,plain,
! [A: $i] : ( o21 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
ivalid @ ( iatom @ o11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
thf(16,plain,
! [A: $i] : ( o11 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(38,plain,
$false,
inference(e,[status(thm)],[14,12,7,18,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO066^4.001 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n020.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 09:38:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.85/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/0.97 % [INFO] Parsing done (117ms).
% 1.18/0.97 % [INFO] Running in sequential loop mode.
% 1.60/1.17 % [INFO] eprover registered as external prover.
% 1.60/1.17 % [INFO] cvc4 registered as external prover.
% 1.60/1.18 % [INFO] Scanning for conjecture ...
% 1.94/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.94/1.27 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.94/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.94/1.27 % [INFO] Type checking passed.
% 1.94/1.27 % [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 ...
% 3.08/1.65 % External prover 'e' found a proof!
% 3.08/1.65 % [INFO] Killing All external provers ...
% 3.08/1.65 % Time passed: 1129ms (effective reasoning time: 669ms)
% 3.08/1.65 % 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)>
% 3.08/1.65 % Axioms used in derivation (4): trans_axiom, refl_axiom, axiom2, axiom1
% 3.08/1.65 % No. of inferences in proof: 12
% 3.08/1.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1129 ms resp. 669 ms w/o parsing
% 3.08/1.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.08/1.67 % [INFO] Killing All external provers ...
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