TSTP Solution File: SEV040^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV040^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 04:09:51 EDT 2024
% Result : Theorem 3.57s 1.81s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 22 ( 21 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 301 ( 2 ~; 0 |; 65 &; 190 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 15 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 46 ( 46 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 118 ( 8 ^ 110 !; 0 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
( ! [A: a > a > $o,B: a > a > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) )
=> ( ! [C: a,D: a] :
( ( B @ C @ D )
=> ( B @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( B @ C @ D )
& ( B @ D @ E ) )
=> ( B @ C @ E ) )
& ( B = A ) ) )
& ! [A: a > a > $o,B: a > a > $o,C: a > a > $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] :
( ( B @ D @ E )
=> ( B @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ D @ E )
& ( B @ E @ F ) )
=> ( B @ D @ F ) )
& ( B = C ) )
=> ( ! [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 = C ) ) )
& ( ( ^ [A: a > a > $o,B: a > a > $o] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) ) )
= ( ^ [A: a > a > $o,B: a > a > $o] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM515_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a > a > $o,B: a > a > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) )
=> ( ! [C: a,D: a] :
( ( B @ C @ D )
=> ( B @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( B @ C @ D )
& ( B @ D @ E ) )
=> ( B @ C @ E ) )
& ( B = A ) ) )
& ! [A: a > a > $o,B: a > a > $o,C: a > a > $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] :
( ( B @ D @ E )
=> ( B @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ D @ E )
& ( B @ E @ F ) )
=> ( B @ D @ F ) )
& ( B = C ) )
=> ( ! [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 = C ) ) )
& ( ( ^ [A: a > a > $o,B: a > a > $o] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) ) )
= ( ^ [A: a > a > $o,B: a > a > $o] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: a > a > $o,B: a > a > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) )
=> ( ! [C: a,D: a] :
( ( B @ C @ D )
=> ( B @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( B @ C @ D )
& ( B @ D @ E ) )
=> ( B @ C @ E ) )
& ( B = A ) ) )
& ! [A: a > a > $o,B: a > a > $o,C: a > a > $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] :
( ( B @ D @ E )
=> ( B @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ D @ E )
& ( B @ E @ F ) )
=> ( B @ D @ F ) )
& ( B = C ) )
=> ( ! [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 = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(47,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV040^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n018.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun May 19 18:27:09 EDT 2024
% 0.17/0.37 % CPUTime :
% 1.01/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.37/1.01 % [INFO] Parsing done (112ms).
% 1.37/1.02 % [INFO] Running in sequential loop mode.
% 1.74/1.21 % [INFO] eprover registered as external prover.
% 1.74/1.21 % [INFO] cvc4 registered as external prover.
% 1.74/1.22 % [INFO] Scanning for conjecture ...
% 1.83/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.83/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.31 % [INFO] Type checking passed.
% 1.83/1.32 % [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 ...
% 3.57/1.80 % External prover 'cvc4' found a proof!
% 3.57/1.80 % [INFO] Killing All external provers ...
% 3.57/1.81 % Time passed: 1269ms (effective reasoning time: 784ms)
% 3.57/1.81 % 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)>
% 3.57/1.81 % Axioms used in derivation (0):
% 3.57/1.81 % No. of inferences in proof: 4
% 3.57/1.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1269 ms resp. 784 ms w/o parsing
% 3.60/1.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.60/1.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------