TSTP Solution File: SEU902^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU902^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 03:40:24 EDT 2024
% Result : Theorem 4.32s 2.55s
% Output : Refutation 4.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 22 ( 12 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 41 ( 8 ~; 0 |; 6 &; 21 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 3 ^ 9 !; 3 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(d_type,type,
d: $i > $o ).
thf(1,conjecture,
! [A: ( $i > $o ) > $i] :
( ( ! [B: $i > $o,C: $i > $o] :
( ( ( A @ B )
= ( A @ C ) )
=> ( B = C ) )
& ( d
= ( ^ [B: $i] :
? [C: $i > $o] :
( ~ ( C @ ( A @ C ) )
& ( B
= ( A @ C ) ) ) ) ) )
=> ~ ( d @ ( A @ d ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM143_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( $i > $o ) > $i] :
( ( ! [B: $i > $o,C: $i > $o] :
( ( ( A @ B )
= ( A @ C ) )
=> ( B = C ) )
& ( d
= ( ^ [B: $i] :
? [C: $i > $o] :
( ~ ( C @ ( A @ C ) )
& ( B
= ( A @ C ) ) ) ) ) )
=> ~ ( d @ ( A @ d ) ) ),
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 ) )
& ( d
= ( ^ [B: $i] :
? [C: $i > $o] :
( ~ ( C @ ( A @ C ) )
& ( B
= ( A @ C ) ) ) ) ) )
=> ~ ( d @ ( A @ d ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU902^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 16:05:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 1.10/1.01 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.42/1.19 % [INFO] Parsing done (171ms).
% 1.42/1.20 % [INFO] Running in sequential loop mode.
% 1.91/1.59 % [INFO] eprover registered as external prover.
% 1.91/1.60 % [INFO] cvc4 registered as external prover.
% 1.91/1.60 % [INFO] Scanning for conjecture ...
% 2.21/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.21/1.73 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.21/1.73 % [INFO] Problem is higher-order (TPTP THF).
% 2.21/1.74 % [INFO] Type checking passed.
% 2.21/1.74 % [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 ...
% 4.32/2.55 % External prover 'cvc4' found a proof!
% 4.32/2.55 % [INFO] Killing All external provers ...
% 4.32/2.55 % Time passed: 2056ms (effective reasoning time: 1340ms)
% 4.32/2.55 % 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)>
% 4.32/2.55 % Axioms used in derivation (0):
% 4.32/2.55 % No. of inferences in proof: 4
% 4.32/2.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2056 ms resp. 1340 ms w/o parsing
% 4.48/2.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.48/2.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------