TSTP Solution File: SEU937^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU937^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 03:40:30 EDT 2024
% Result : Theorem 2.88s 1.72s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 41 ( 2 ~; 0 |; 3 &; 24 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(c_type,type,
c: $tType ).
thf(1,conjecture,
! [A: b > a,B: c > b] :
( ( ! [C: b,D: b] :
( ( ( A @ C )
= ( A @ D ) )
=> ( C = D ) )
& ! [C: c,D: c] :
( ( ( B @ C )
= ( B @ D ) )
=> ( C = D ) ) )
=> ! [C: c,D: c] :
( ( ( A @ ( B @ C ) )
= ( A @ ( B @ D ) ) )
=> ( C = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM48_pme) ).
thf(2,negated_conjecture,
~ ! [A: b > a,B: c > b] :
( ( ! [C: b,D: b] :
( ( ( A @ C )
= ( A @ D ) )
=> ( C = D ) )
& ! [C: c,D: c] :
( ( ( B @ C )
= ( B @ D ) )
=> ( C = D ) ) )
=> ! [C: c,D: c] :
( ( ( A @ ( B @ C ) )
= ( A @ ( B @ D ) ) )
=> ( C = D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: b > a,B: c > b] :
( ( ! [C: b,D: b] :
( ( ( A @ C )
= ( A @ D ) )
=> ( C = D ) )
& ! [C: c,D: c] :
( ( ( B @ C )
= ( B @ D ) )
=> ( C = D ) ) )
=> ! [C: c,D: c] :
( ( ( A @ ( B @ C ) )
= ( A @ ( B @ D ) ) )
=> ( C = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU937^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n005.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 17:09:54 EDT 2024
% 0.16/0.38 % CPUTime :
% 1.09/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.37/1.10 % [INFO] Parsing done (123ms).
% 1.37/1.10 % [INFO] Running in sequential loop mode.
% 1.67/1.32 % [INFO] eprover registered as external prover.
% 1.67/1.32 % [INFO] cvc4 registered as external prover.
% 1.67/1.32 % [INFO] Scanning for conjecture ...
% 1.86/1.38 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.04/1.40 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.04/1.40 % [INFO] Problem is higher-order (TPTP THF).
% 2.04/1.40 % [INFO] Type checking passed.
% 2.04/1.41 % [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 ...
% 2.59/1.72 % External prover 'e' found a proof!
% 2.59/1.72 % [INFO] Killing All external provers ...
% 2.59/1.72 % Time passed: 1179ms (effective reasoning time: 614ms)
% 2.59/1.72 % 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)>
% 2.59/1.72 % Axioms used in derivation (0):
% 2.59/1.72 % No. of inferences in proof: 4
% 2.88/1.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1179 ms resp. 614 ms w/o parsing
% 3.09/1.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.09/1.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------