TSTP Solution File: SEV049^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV049^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n032.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 15:58:04 EDT 2024
% Result : Theorem 2.66s 1.69s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 5 ~; 2 |; 6 &; 30 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 4 con; 0-0 aty)
% Number of variables : 21 ( 8 ^ 10 !; 3 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
? [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A
@ ^ [B: $i] : $true
@ ^ [B: $i] : $false )
& ! [B: $i > $o,C: $i > $o,D: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120A_pme) ).
thf(2,negated_conjecture,
~ ? [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A
@ ^ [B: $i] : $true
@ ^ [B: $i] : $false )
& ! [B: $i > $o,C: $i > $o,D: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A
@ ^ [B: $i] : $true
@ ^ [B: $i] : $false )
& ! [B: $i > $o,C: $i > $o,D: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ( A
@ ^ [B: $i] : $true
@ ^ [B: $i] : $false )
| ( A @ ( sk1 @ A ) @ ( sk2 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
( $false
| $false ),
inference(prim_subst,[status(thm)],[4:[bind(A,$thf( ^ [B: $i > $o] : ^ [C: $i > $o] : $false ))]]) ).
thf(21,plain,
$false,
inference(simp,[status(thm)],[11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SEV049^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.10 % Command : run_Leo-III %s %d THM
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Fri Jun 21 18:24:55 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.82/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.12/0.95 % [INFO] Parsing done (117ms).
% 1.12/0.96 % [INFO] Running in sequential loop mode.
% 1.53/1.21 % [INFO] eprover registered as external prover.
% 1.53/1.22 % [INFO] Scanning for conjecture ...
% 1.68/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.68/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.68/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.68/1.30 % [INFO] Type checking passed.
% 1.68/1.31 % [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 ...
% 2.66/1.69 % [INFO] Killing All external provers ...
% 2.66/1.69 % Time passed: 1238ms (effective reasoning time: 727ms)
% 2.66/1.69 % 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)>
% 2.66/1.69 % Axioms used in derivation (0):
% 2.66/1.69 % No. of inferences in proof: 6
% 2.66/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1238 ms resp. 727 ms w/o parsing
% 2.66/1.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.66/1.71 % [INFO] Killing All external provers ...
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