TSTP Solution File: SEV189^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV189^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n019.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 15:58:27 EDT 2024
% Result : Theorem 2.84s 1.61s
% Output : Refutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 101 ( 2 ~; 0 |; 9 &; 57 @)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 12 ^ 30 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(cQ_type,type,
cQ: ( b > $o ) > $o ).
thf(cP_type,type,
cP: ( b > $o ) > $o ).
thf(1,conjecture,
( ( ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( cP @ B ) )
=> ( cP
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) )
& ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( cQ @ B ) )
=> ( cQ
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) ) )
=> ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( ( cP @ B )
& ( cQ @ B ) ) )
=> ( ( cP
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) )
& ( cQ
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM567_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( cP @ B ) )
=> ( cP
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) )
& ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( cQ @ B ) )
=> ( cQ
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) ) )
=> ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( ( cP @ B )
& ( cQ @ B ) ) )
=> ( ( cP
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) )
& ( cQ
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( cP @ B ) )
=> ( cP
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) )
& ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( cQ @ B ) )
=> ( cQ
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) ) )
=> ! [A: ( b > $o ) > $o] :
( ! [B: b > $o] :
( ( A @ B )
=> ( ( cP @ B )
& ( cQ @ B ) ) )
=> ( ( cP
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) )
& ( cQ
@ ^ [B: b] :
! [C: b > $o] :
( ( A @ C )
=> ( C @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SEV189^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.11 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 19:27:40 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.94/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (99ms).
% 1.21/0.96 % [INFO] Running in sequential loop mode.
% 1.46/1.16 % [INFO] eprover registered as external prover.
% 1.46/1.16 % [INFO] Scanning for conjecture ...
% 1.78/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.78/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.78/1.23 % [INFO] Problem is higher-order (TPTP THF).
% 1.78/1.24 % [INFO] Type checking passed.
% 1.88/1.24 % [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 ...
% 2.84/1.61 % External prover 'e' found a proof!
% 2.84/1.61 % [INFO] Killing All external provers ...
% 2.84/1.61 % Time passed: 1083ms (effective reasoning time: 638ms)
% 2.84/1.61 % 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)>
% 2.84/1.61 % Axioms used in derivation (0):
% 2.84/1.61 % No. of inferences in proof: 4
% 2.84/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1083 ms resp. 638 ms w/o parsing
% 3.17/1.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.17/1.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------