TSTP Solution File: SEV037^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV037^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 04:09:50 EDT 2024
% Result : Theorem 5.81s 2.43s
% Output : Refutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 10 ( 9 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 311 ( 2 ~; 0 |; 27 &; 234 @)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 15 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 114 ( 12 ^ 102 !; 0 ?; 114 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(1,conjecture,
! [A: a > a > $o,B: a > a > $o,C: a > b > b > $o] :
( ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = B ) )
=> ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( ! [F: b,G: b] :
( ( C @ D @ F @ G )
=> ( C @ D @ G @ F ) )
& ! [F: b,G: b,H: b] :
( ( ( C @ D @ F @ G )
& ( C @ D @ G @ H ) )
=> ( C @ D @ F @ H ) )
& ( ( C @ D )
= ( C @ E ) ) ) )
=> ( ! [D: a > b,E: a > b] :
( ! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) )
=> ! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( E @ F ) @ ( D @ G ) ) ) )
& ! [D: a > b,E: a > b,F: a > b] :
( ( ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( D @ G ) @ ( E @ H ) ) )
& ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( E @ G ) @ ( F @ H ) ) ) )
=> ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( D @ G ) @ ( F @ H ) ) ) )
& ( ( ^ [D: a > b,E: a > b] :
! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) ) )
= ( ^ [D: a > b,E: a > b] :
! [F: a,G: a] :
( ( B @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM516_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > a > $o,B: a > a > $o,C: a > b > b > $o] :
( ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = B ) )
=> ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( ! [F: b,G: b] :
( ( C @ D @ F @ G )
=> ( C @ D @ G @ F ) )
& ! [F: b,G: b,H: b] :
( ( ( C @ D @ F @ G )
& ( C @ D @ G @ H ) )
=> ( C @ D @ F @ H ) )
& ( ( C @ D )
= ( C @ E ) ) ) )
=> ( ! [D: a > b,E: a > b] :
( ! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) )
=> ! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( E @ F ) @ ( D @ G ) ) ) )
& ! [D: a > b,E: a > b,F: a > b] :
( ( ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( D @ G ) @ ( E @ H ) ) )
& ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( E @ G ) @ ( F @ H ) ) ) )
=> ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( D @ G ) @ ( F @ H ) ) ) )
& ( ( ^ [D: a > b,E: a > b] :
! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) ) )
= ( ^ [D: a > b,E: a > b] :
! [F: a,G: a] :
( ( B @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > a > $o,B: a > a > $o,C: a > b > b > $o] :
( ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = B ) )
=> ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( ! [F: b,G: b] :
( ( C @ D @ F @ G )
=> ( C @ D @ G @ F ) )
& ! [F: b,G: b,H: b] :
( ( ( C @ D @ F @ G )
& ( C @ D @ G @ H ) )
=> ( C @ D @ F @ H ) )
& ( ( C @ D )
= ( C @ E ) ) ) )
=> ( ! [D: a > b,E: a > b] :
( ! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) )
=> ! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( E @ F ) @ ( D @ G ) ) ) )
& ! [D: a > b,E: a > b,F: a > b] :
( ( ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( D @ G ) @ ( E @ H ) ) )
& ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( E @ G ) @ ( F @ H ) ) ) )
=> ! [G: a,H: a] :
( ( A @ G @ H )
=> ( C @ G @ ( D @ G ) @ ( F @ H ) ) ) )
& ( ( ^ [D: a > b,E: a > b] :
! [F: a,G: a] :
( ( A @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) ) )
= ( ^ [D: a > b,E: a > b] :
! [F: a,G: a] :
( ( B @ F @ G )
=> ( C @ F @ ( D @ F ) @ ( E @ G ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(59,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV037^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 19:21:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.83/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.97 % [INFO] Parsing done (116ms).
% 1.17/0.98 % [INFO] Running in sequential loop mode.
% 1.72/1.20 % [INFO] eprover registered as external prover.
% 1.72/1.21 % [INFO] cvc4 registered as external prover.
% 1.72/1.21 % [INFO] Scanning for conjecture ...
% 1.84/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.06/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.06/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 2.06/1.34 % [INFO] Type checking passed.
% 2.06/1.34 % [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 ...
% 5.81/2.43 % External prover 'cvc4' found a proof!
% 5.81/2.43 % [INFO] Killing All external provers ...
% 5.81/2.43 % Time passed: 1910ms (effective reasoning time: 1446ms)
% 5.81/2.43 % 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)>
% 5.81/2.43 % Axioms used in derivation (0):
% 5.81/2.43 % No. of inferences in proof: 4
% 5.81/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1910 ms resp. 1446 ms w/o parsing
% 5.81/2.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.81/2.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------