TSTP Solution File: SEV034^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV034^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n027.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 : Mon Jun 24 15:58:02 EDT 2024
% Result : Theorem 3.10s 1.67s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 205 ( 2 ~; 0 |; 17 &; 150 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 17 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 63 ( 0 ^ 63 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(1,conjecture,
! [A: a > a > $o,B: a > b > b > $o,C: a > b,D: a > b] :
( ! [E: a] :
( ( A @ E @ E )
=> ( B @ E @ ( C @ E ) @ ( D @ E ) ) )
=> ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( C @ F ) ) )
=> ( ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( A @ F @ E ) )
& ! [E: a,F: a,G: a] :
( ( ( A @ E @ F )
& ( A @ F @ G ) )
=> ( A @ E @ G ) )
& ( A = A ) )
=> ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( ! [G: b,H: b] :
( ( B @ E @ G @ H )
=> ( B @ E @ H @ G ) )
& ! [G: b,H: b,I: b] :
( ( ( B @ E @ G @ H )
& ( B @ E @ H @ I ) )
=> ( B @ E @ G @ I ) )
& ( ( B @ E )
= ( B @ F ) ) ) )
=> ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( D @ F ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM518_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o,B: a > b > b > $o,C: a > b,D: a > b] :
( ! [E: a] :
( ( A @ E @ E )
=> ( B @ E @ ( C @ E ) @ ( D @ E ) ) )
=> ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( C @ F ) ) )
=> ( ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( A @ F @ E ) )
& ! [E: a,F: a,G: a] :
( ( ( A @ E @ F )
& ( A @ F @ G ) )
=> ( A @ E @ G ) )
& ( A = A ) )
=> ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( ! [G: b,H: b] :
( ( B @ E @ G @ H )
=> ( B @ E @ H @ G ) )
& ! [G: b,H: b,I: b] :
( ( ( B @ E @ G @ H )
& ( B @ E @ H @ I ) )
=> ( B @ E @ G @ I ) )
& ( ( B @ E )
= ( B @ F ) ) ) )
=> ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( D @ F ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o,B: a > b > b > $o,C: a > b,D: a > b] :
( ! [E: a] :
( ( A @ E @ E )
=> ( B @ E @ ( C @ E ) @ ( D @ E ) ) )
=> ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( C @ F ) ) )
=> ( ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( A @ F @ E ) )
& ! [E: a,F: a,G: a] :
( ( ( A @ E @ F )
& ( A @ F @ G ) )
=> ( A @ E @ G ) ) )
=> ( ! [E: a,F: a] :
( ( A @ E @ F )
=> ( ! [G: b,H: b] :
( ( B @ E @ G @ H )
=> ( B @ E @ H @ G ) )
& ! [G: b,H: b,I: b] :
( ( ( B @ E @ G @ H )
& ( B @ E @ H @ I ) )
=> ( B @ E @ G @ I ) )
& ( ( B @ E )
= ( B @ F ) ) ) )
=> ! [E: a,F: a] :
( ( A @ E @ F )
=> ( B @ E @ ( C @ E ) @ ( D @ F ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV034^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:40:10 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.93/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (103ms).
% 1.21/0.97 % [INFO] Running in sequential loop mode.
% 1.61/1.17 % [INFO] eprover registered as external prover.
% 1.61/1.17 % [INFO] Scanning for conjecture ...
% 1.92/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.99/1.27 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.99/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.99/1.27 % [INFO] Type checking passed.
% 1.99/1.27 % [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 ...
% 3.10/1.67 % External prover 'e' found a proof!
% 3.10/1.67 % [INFO] Killing All external provers ...
% 3.10/1.67 % Time passed: 1156ms (effective reasoning time: 702ms)
% 3.10/1.67 % 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)>
% 3.10/1.67 % Axioms used in derivation (0):
% 3.10/1.67 % No. of inferences in proof: 4
% 3.10/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1156 ms resp. 702 ms w/o parsing
% 3.19/1.69 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.19/1.69 % [INFO] Killing All external provers ...
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