TSTP Solution File: SEV028^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV028^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 04:09:50 EDT 2024
% Result : Theorem 3.20s 1.78s
% Output : Refutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 40 ( 12 equ; 0 cnn)
% Maximal formula atoms : 10 ( 10 avg)
% Number of connectives : 146 ( 2 ~; 0 |; 30 &; 90 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 60 ( 0 ^ 45 !; 15 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cQ_type,type,
cQ: a > a > $o ).
thf(1,conjecture,
( ( ! [A: a > $o] :
( ( ? [B: a] : ( A @ B )
& ! [B: a] :
( ( A @ B )
=> ! [C: a] :
( ( A @ C )
= ( cQ @ B @ C ) ) ) )
=> ? [B: a] : ( A @ B ) )
& ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A )
& ! [C: a > $o] :
( ( ? [D: a] : ( C @ D )
& ! [D: a] :
( ( C @ D )
=> ! [E: a] :
( ( C @ E )
= ( cQ @ D @ E ) ) )
& ( C @ A ) )
=> ( C = B ) ) ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM558_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: a > $o] :
( ( ? [B: a] : ( A @ B )
& ! [B: a] :
( ( A @ B )
=> ! [C: a] :
( ( A @ C )
= ( cQ @ B @ C ) ) ) )
=> ? [B: a] : ( A @ B ) )
& ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A )
& ! [C: a > $o] :
( ( ? [D: a] : ( C @ D )
& ! [D: a] :
( ( C @ D )
=> ! [E: a] :
( ( C @ E )
= ( cQ @ D @ E ) ) )
& ( C @ A ) )
=> ( C = B ) ) ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: a > $o] :
( ( ? [B: a] : ( A @ B )
& ! [B: a] :
( ( A @ B )
=> ! [C: a] :
( ( A @ C )
= ( cQ @ B @ C ) ) ) )
=> ? [B: a] : ( A @ B ) )
& ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A )
& ! [C: a > $o] :
( ( ? [D: a] : ( C @ D )
& ! [D: a] :
( ( C @ D )
=> ! [E: a] :
( ( C @ E )
= ( cQ @ D @ E ) ) )
& ( C @ A ) )
=> ( C = B ) ) ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(26,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV028^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 18:41:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.92/0.93 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/1.04 % [INFO] Parsing done (117ms).
% 1.40/1.05 % [INFO] Running in sequential loop mode.
% 1.69/1.26 % [INFO] eprover registered as external prover.
% 1.69/1.26 % [INFO] cvc4 registered as external prover.
% 1.79/1.27 % [INFO] Scanning for conjecture ...
% 1.79/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.01/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.01/1.35 % [INFO] Problem is higher-order (TPTP THF).
% 2.01/1.36 % [INFO] Type checking passed.
% 2.01/1.36 % [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 ...
% 3.20/1.78 % External prover 'e' found a proof!
% 3.20/1.78 % [INFO] Killing All external provers ...
% 3.20/1.78 % Time passed: 1229ms (effective reasoning time: 724ms)
% 3.20/1.78 % 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)>
% 3.20/1.78 % Axioms used in derivation (0):
% 3.20/1.78 % No. of inferences in proof: 4
% 3.20/1.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1229 ms resp. 724 ms w/o parsing
% 3.30/1.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.30/1.81 % [INFO] Killing All external provers ...
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