TSTP Solution File: SEV238^5 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV238^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n029.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 15:58:35 EDT 2024
% Result : Theorem 3.79s 1.89s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 4 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 275 ( 2 ~; 0 |; 36 &; 183 @)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 14 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 108 ( 24 ^ 54 !; 30 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
! [A: ( $i > $o ) > $i > $o] :
( ( ! [B: $i > $o] :
( ! [C: $i] :
( ( B @ C )
=> ? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) ) )
=> ! [C: $i] :
( ( A @ B @ C )
=> ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) )
@ C ) ) )
& ( ! [B: $i] :
( ? [C: $i > $o] :
( ! [D: $i] :
( ( C @ D )
=> ( A @ C @ D ) )
& ( C @ B ) )
=> ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B ) )
=> ! [B: $i] :
( ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B )
=> ( A
@ ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) ) )
@ B ) ) ) )
=> ! [B: $i] :
( ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B )
= ( ! [C: $i] :
( ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) )
@ C )
=> ( A
@ ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) ) )
@ C ) )
& ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM2D_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( $i > $o ) > $i > $o] :
( ( ! [B: $i > $o] :
( ! [C: $i] :
( ( B @ C )
=> ? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) ) )
=> ! [C: $i] :
( ( A @ B @ C )
=> ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) )
@ C ) ) )
& ( ! [B: $i] :
( ? [C: $i > $o] :
( ! [D: $i] :
( ( C @ D )
=> ( A @ C @ D ) )
& ( C @ B ) )
=> ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B ) )
=> ! [B: $i] :
( ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B )
=> ( A
@ ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) ) )
@ B ) ) ) )
=> ! [B: $i] :
( ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B )
= ( ! [C: $i] :
( ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) )
@ C )
=> ( A
@ ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) ) )
@ C ) )
& ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( $i > $o ) > $i > $o] :
( ( ! [B: $i > $o] :
( ! [C: $i] :
( ( B @ C )
=> ? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) ) )
=> ! [C: $i] :
( ( A @ B @ C )
=> ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) )
@ C ) ) )
& ( ! [B: $i] :
( ? [C: $i > $o] :
( ! [D: $i] :
( ( C @ D )
=> ( A @ C @ D ) )
& ( C @ B ) )
=> ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B ) )
=> ! [B: $i] :
( ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B )
=> ( A
@ ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) ) )
@ B ) ) ) )
=> ! [B: $i] :
( ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B )
= ( ! [C: $i] :
( ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) )
@ C )
=> ( A
@ ( A
@ ^ [D: $i] :
? [E: $i > $o] :
( ! [F: $i] :
( ( E @ F )
=> ( A @ E @ F ) )
& ( E @ D ) ) )
@ C ) )
& ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ! [E: $i] :
( ( D @ E )
=> ( A @ D @ E ) )
& ( D @ C ) )
@ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(29,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV238^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n029.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 19:23:10 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.96/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.98 % [INFO] Parsing done (112ms).
% 1.33/0.99 % [INFO] Running in sequential loop mode.
% 1.65/1.21 % [INFO] eprover registered as external prover.
% 1.65/1.21 % [INFO] Scanning for conjecture ...
% 1.97/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.97/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.97/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.97/1.31 % [INFO] Type checking passed.
% 1.97/1.32 % [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 ...
% 3.79/1.88 % External prover 'e' found a proof!
% 3.79/1.88 % [INFO] Killing All external provers ...
% 3.79/1.89 % Time passed: 1352ms (effective reasoning time: 890ms)
% 3.79/1.89 % 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)>
% 3.79/1.89 % Axioms used in derivation (0):
% 3.79/1.89 % No. of inferences in proof: 4
% 3.79/1.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1352 ms resp. 890 ms w/o parsing
% 3.79/1.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.79/1.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------