TSTP Solution File: SEV181^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV181^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 04:10:06 EDT 2024
% Result : Theorem 4.80s 2.70s
% Output : Refutation 4.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 2 unt; 1 typ; 1 def)
% Number of atoms : 16 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 41 ( 8 ~; 0 |; 3 &; 24 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 3 ^ 9 !; 3 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(cD_FOR_X5309_type,type,
cD_FOR_X5309: ( ( $i > $o ) > $i ) > $i > $o ).
thf(cD_FOR_X5309_def,definition,
( cD_FOR_X5309
= ( ^ [A: ( $i > $o ) > $i,B: $i] :
? [C: $i > $o] :
( ~ ( C @ ( A @ C ) )
& ( B
= ( A @ C ) ) ) ) ) ).
thf(1,conjecture,
! [A: ( $i > $o ) > $i] :
( ! [B: $i > $o,C: $i > $o] :
( ( ( A @ B )
= ( A @ C ) )
=> ( B = C ) )
=> ~ ( cD_FOR_X5309 @ A @ ( A @ ( cD_FOR_X5309 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM143C_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( $i > $o ) > $i] :
( ! [B: $i > $o,C: $i > $o] :
( ( ( A @ B )
= ( A @ C ) )
=> ( B = C ) )
=> ~ ( cD_FOR_X5309 @ A @ ( A @ ( cD_FOR_X5309 @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( $i > $o ) > $i] :
( ! [B: $i > $o,C: $i > $o] :
( ( ( A @ B )
= ( A @ C ) )
=> ( B = C ) )
=> ~ ? [B: $i > $o] :
( ~ ( B @ ( A @ B ) )
& ( ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ~ ( D @ ( A @ D ) )
& ( C
= ( A @ D ) ) ) )
= ( A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV181^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.03/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n007.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 19:16:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.12/1.07 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.52/1.25 % [INFO] Parsing done (170ms).
% 1.56/1.26 % [INFO] Running in sequential loop mode.
% 2.14/1.68 % [INFO] eprover registered as external prover.
% 2.14/1.68 % [INFO] cvc4 registered as external prover.
% 2.14/1.69 % [INFO] Scanning for conjecture ...
% 2.35/1.79 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.47/1.83 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.47/1.83 % [INFO] Problem is higher-order (TPTP THF).
% 2.47/1.83 % [INFO] Type checking passed.
% 2.52/1.84 % [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 ...
% 4.68/2.69 % External prover 'cvc4' found a proof!
% 4.68/2.69 % [INFO] Killing All external provers ...
% 4.68/2.70 % Time passed: 2174ms (effective reasoning time: 1429ms)
% 4.68/2.70 % 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)>
% 4.80/2.70 % Axioms used in derivation (0):
% 4.80/2.70 % No. of inferences in proof: 4
% 4.80/2.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2174 ms resp. 1429 ms w/o parsing
% 4.80/2.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.80/2.73 % [INFO] Killing All external provers ...
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