TSTP Solution File: SEV108^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV108^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 04:09:59 EDT 2024
% Result : Theorem 4.89s 2.66s
% Output : Refutation 4.89s
% 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 : 55 ( 54 equ; 0 cnn)
% Maximal formula atoms : 18 ( 13 avg)
% Number of connectives : 188 ( 65 ~; 3 |; 66 &; 48 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 20 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 0 ^ 27 !; 9 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
! [A: $i > $i > $o,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ! [H: $i,I: $i] :
( ( A @ H @ I )
=> ( A @ I @ H ) )
& ( B != C )
& ( B != D )
& ( B != E )
& ( B != F )
& ( B != G )
& ( C != D )
& ( C != E )
& ( C != F )
& ( C != G )
& ( D != E )
& ( D != F )
& ( D != G )
& ( E != F )
& ( E != G )
& ( F != G ) )
=> ? [H: $i,I: $i,J: $i] :
( ( H != I )
& ( H != J )
& ( I != J )
& ( ( ( A @ H @ I )
& ( A @ H @ J )
& ( A @ I @ J ) )
| ( ~ ( A @ H @ I )
& ~ ( A @ H @ J )
& ~ ( A @ I @ J ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIX_THEOREM_pme) ).
thf(2,negated_conjecture,
~ ! [A: $i > $i > $o,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ! [H: $i,I: $i] :
( ( A @ H @ I )
=> ( A @ I @ H ) )
& ( B != C )
& ( B != D )
& ( B != E )
& ( B != F )
& ( B != G )
& ( C != D )
& ( C != E )
& ( C != F )
& ( C != G )
& ( D != E )
& ( D != F )
& ( D != G )
& ( E != F )
& ( E != G )
& ( F != G ) )
=> ? [H: $i,I: $i,J: $i] :
( ( H != I )
& ( H != J )
& ( I != J )
& ( ( ( A @ H @ I )
& ( A @ H @ J )
& ( A @ I @ J ) )
| ( ~ ( A @ H @ I )
& ~ ( A @ H @ J )
& ~ ( A @ I @ J ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $i > $o,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ! [H: $i,I: $i] :
( ( A @ H @ I )
=> ( A @ I @ H ) )
& ( B != C )
& ( B != D )
& ( B != E )
& ( B != F )
& ( B != G )
& ( C != D )
& ( C != E )
& ( C != F )
& ( C != G )
& ( D != E )
& ( D != F )
& ( D != G )
& ( E != F )
& ( E != G )
& ( F != G ) )
=> ? [H: $i,I: $i,J: $i] :
( ( H != I )
& ( H != J )
& ( I != J )
& ( ( ( A @ H @ I )
& ( A @ H @ J )
& ( A @ I @ J ) )
| ( ~ ( A @ H @ I )
& ~ ( A @ H @ J )
& ~ ( A @ I @ J ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(165,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEV108^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n016.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 : Sun May 19 18:35:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.01/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.12 % [INFO] Parsing done (159ms).
% 1.28/1.13 % [INFO] Running in sequential loop mode.
% 1.84/1.50 % [INFO] eprover registered as external prover.
% 1.91/1.51 % [INFO] cvc4 registered as external prover.
% 1.91/1.51 % [INFO] Scanning for conjecture ...
% 1.99/1.62 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.20/1.68 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.20/1.68 % [INFO] Problem is higher-order (TPTP THF).
% 2.20/1.68 % [INFO] Type checking passed.
% 2.20/1.69 % [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 ...
% 4.89/2.66 % External prover 'cvc4' found a proof!
% 4.89/2.66 % [INFO] Killing All external provers ...
% 4.89/2.66 % Time passed: 2175ms (effective reasoning time: 1519ms)
% 4.89/2.66 % 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)>
% 4.89/2.66 % Axioms used in derivation (0):
% 4.89/2.66 % No. of inferences in proof: 4
% 4.89/2.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2175 ms resp. 1519 ms w/o parsing
% 4.89/2.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.89/2.69 % [INFO] Killing All external provers ...
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