TSTP Solution File: SEU667^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU667^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 03:43:14 EDT 2024
% Result : Theorem 2.35s 1.76s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 10 ( 5 unt; 3 typ; 3 def)
% Number of atoms : 21 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 42 ( 2 ~; 0 |; 3 &; 35 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 8 con; 0-3 aty)
% Number of variables : 18 ( 7 ^ 9 !; 2 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(breln_def,definition,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(dpsetconstr_def,definition,
( dpsetconstr
= ( ^ [A: $i,B: $i,C: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [D: $i] :
? [E: $i] :
( ( in @ E @ A )
& ? [F: $i] :
( ( in @ F @ B )
& ( C @ E @ F )
& ( D
= ( kpair @ E @ F ) ) ) ) ) ) ) ).
thf(dpsetconstrSub_type,type,
dpsetconstrSub: $o ).
thf(dpsetconstrSub_def,definition,
( dpsetconstrSub
= ( ! [A: $i,B: $i,C: $i > $i > $o] : ( subset @ ( dpsetconstr @ A @ B @ C ) @ ( cartprod @ A @ B ) ) ) ) ).
thf(1,conjecture,
( dpsetconstrSub
=> ! [A: $i,B: $i,C: $i > $i > $o] : ( breln @ A @ B @ ( dpsetconstr @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setOfPairsIsBReln) ).
thf(2,negated_conjecture,
~ ( dpsetconstrSub
=> ! [A: $i,B: $i,C: $i > $i > $o] : ( breln @ A @ B @ ( dpsetconstr @ A @ B @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU667^2 : TPTP v8.2.0. Released v3.7.0.
% 0.02/0.12 % Command : run_Leo-III %s %d
% 0.13/0.32 % Computer : n003.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Sun May 19 16:08:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 1.02/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/1.11 % [INFO] Parsing done (168ms).
% 1.31/1.12 % [INFO] Running in sequential loop mode.
% 1.87/1.47 % [INFO] nitpick registered as external prover.
% 1.87/1.47 % [INFO] Scanning for conjecture ...
% 2.05/1.58 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.05/1.61 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.05/1.61 % [INFO] Problem is higher-order (TPTP THF).
% 2.05/1.62 % [INFO] Type checking passed.
% 2.05/1.62 % [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 ...
% 2.35/1.76 % [INFO] Killing All external provers ...
% 2.35/1.76 % Time passed: 1286ms (effective reasoning time: 636ms)
% 2.35/1.76 % 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)>
% 2.35/1.76 % Axioms used in derivation (0):
% 2.35/1.76 % No. of inferences in proof: 4
% 2.35/1.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1286 ms resp. 636 ms w/o parsing
% 2.58/1.82 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.58/1.82 % [INFO] Killing All external provers ...
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