TSTP Solution File: LCL879^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : LCL879^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 00:08:36 EDT 2024
% Result : Theorem 3.47s 2.02s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 13 ( 8 unt; 5 typ; 4 def)
% Number of atoms : 27 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 72 ( 7 ~; 5 |; 3 &; 54 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 8 ^ 22 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).
thf(mforall_prop_type,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(mforall_prop_def,definition,
( mforall_prop
= ( ^ [A: ( $i > $o ) > $i > $o,B: $i] :
! [C: $i > $o] : ( A @ C @ B ) ) ) ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: $i > $i > $o,B: $i > $o,C: $i] :
! [D: $i] :
( ~ ( A @ C @ D )
| ( B @ D ) ) ) ) ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(1,conjecture,
! [A: $i > $i > $o,B: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [C: $i > $o] : ( mimplies @ ( mbox @ A @ C ) @ ( mbox @ B @ ( mbox @ A @ C ) ) ) ) )
= ( ! [C: $i,D: $i,E: $i] :
( ( ( B @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ! [A: $i > $i > $o,B: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [C: $i > $o] : ( mimplies @ ( mbox @ A @ C ) @ ( mbox @ B @ ( mbox @ A @ C ) ) ) ) )
= ( ! [C: $i,D: $i,E: $i] :
( ( ( B @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $i > $o,B: $i > $i > $o] :
( ( ! [C: $i,D: $i > $o] :
( ~ ! [E: $i] :
( ~ ( A @ C @ E )
| ( D @ E ) )
| ! [E: $i] :
( ~ ( B @ C @ E )
| ! [F: $i] :
( ~ ( A @ E @ F )
| ( D @ F ) ) ) ) )
= ( ! [C: $i,D: $i,E: $i] :
( ( ( B @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL879^1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Mon May 20 03:14:24 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.92/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.36/1.10 % [INFO] Parsing done (180ms).
% 1.36/1.12 % [INFO] Running in sequential loop mode.
% 1.89/1.39 % [INFO] eprover registered as external prover.
% 1.89/1.39 % [INFO] cvc4 registered as external prover.
% 1.89/1.40 % [INFO] Scanning for conjecture ...
% 2.23/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.34/1.54 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.37/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.37/1.54 % [INFO] Type checking passed.
% 2.37/1.54 % [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 ...
% 3.47/2.01 % External prover 'e' found a proof!
% 3.47/2.01 % [INFO] Killing All external provers ...
% 3.47/2.01 % Time passed: 1513ms (effective reasoning time: 892ms)
% 3.47/2.01 % 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)>
% 3.47/2.02 % Axioms used in derivation (0):
% 3.47/2.02 % No. of inferences in proof: 4
% 3.47/2.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1513 ms resp. 892 ms w/o parsing
% 3.47/2.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.47/2.06 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------