TSTP Solution File: SEU755^2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU755^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 03:39:37 EDT 2024
% Result : Theorem 2.61s 1.67s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 14 ( 4 unt; 7 typ; 3 def)
% Number of atoms : 53 ( 3 equ; 0 cnn)
% Maximal formula atoms : 17 ( 7 avg)
% Number of connectives : 178 ( 12 ~; 0 |; 0 &; 126 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 ^ 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(setminusI_type,type,
setminusI: $o ).
thf(setminusI_def,definition,
( setminusI
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( in @ C @ ( setminus @ A @ B ) ) ) ) ) ) ).
thf(setminusER_type,type,
setminusER: $o ).
thf(setminusER_def,definition,
( setminusER
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( setminus @ A @ B ) )
=> ~ ( in @ C @ B ) ) ) ) ).
thf(binunionTEcontra_type,type,
binunionTEcontra: $o ).
thf(binunionTEcontra_def,definition,
( binunionTEcontra
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ~ ( in @ D @ B )
=> ( ~ ( in @ D @ C )
=> ~ ( in @ D @ ( binunion @ B @ C ) ) ) ) ) ) ) ) ) ).
thf(1,conjecture,
( setminusI
=> ( setminusER
=> ( binunionTEcontra
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ( in @ D @ ( setminus @ A @ B ) )
=> ( ( in @ D @ ( setminus @ A @ C ) )
=> ( in @ D @ ( setminus @ A @ ( binunion @ B @ C ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan2b2) ).
thf(2,negated_conjecture,
~ ( setminusI
=> ( setminusER
=> ( binunionTEcontra
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ( in @ D @ ( setminus @ A @ B ) )
=> ( ( in @ D @ ( setminus @ A @ C ) )
=> ( in @ D @ ( setminus @ A @ ( binunion @ B @ C ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( in @ C @ ( setminus @ A @ B ) ) ) )
=> ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( setminus @ A @ B ) )
=> ~ ( in @ C @ B ) )
=> ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ~ ( in @ D @ B )
=> ( ~ ( in @ D @ C )
=> ~ ( in @ D @ ( binunion @ B @ C ) ) ) ) ) ) )
=> ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( powerset @ A ) )
=> ! [D: $i] :
( ( in @ D @ A )
=> ( ( in @ D @ ( setminus @ A @ B ) )
=> ( ( in @ D @ ( setminus @ A @ C ) )
=> ( in @ D @ ( setminus @ A @ ( binunion @ B @ C ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU755^2 : TPTP v8.2.0. Released v3.7.0.
% 0.02/0.14 % Command : run_Leo-III %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 16:05:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.93/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/1.00 % [INFO] Parsing done (112ms).
% 1.15/1.01 % [INFO] Running in sequential loop mode.
% 1.62/1.24 % [INFO] eprover registered as external prover.
% 1.62/1.24 % [INFO] cvc4 registered as external prover.
% 1.66/1.24 % [INFO] Scanning for conjecture ...
% 1.88/1.32 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.88/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.88/1.35 % [INFO] Problem is higher-order (TPTP THF).
% 1.88/1.35 % [INFO] Type checking passed.
% 1.88/1.35 % [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 ...
% 2.61/1.67 % External prover 'cvc4' found a proof!
% 2.61/1.67 % [INFO] Killing All external provers ...
% 2.61/1.67 % Time passed: 1166ms (effective reasoning time: 657ms)
% 2.61/1.67 % 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)>
% 2.61/1.67 % Axioms used in derivation (0):
% 2.61/1.67 % No. of inferences in proof: 4
% 2.61/1.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1166 ms resp. 657 ms w/o parsing
% 2.79/1.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.79/1.76 % [INFO] Killing All external provers ...
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